Abstract:
An apparatus has a pulse light source for emitting light pulses with varying light quantities, an illumination optical system for radiating the light pulses from the source onto a predetermined illumination region on a mask on which a transfer pattern is formed, and a projection optical system for projecting an image of the pattern onto a predetermined exposure region on a substrate, and which synchronously scans the mask and the substrate during the projection. The apparatus includes a measuring device for detecting intensities of the light pulses radiated onto the substrate during the scanning and measuring an integrated light quantity on each of a plurality of partial regions in the exposure region on the substrate on the basis of a detection signal of the intensities, wherein the partial regions are defined by a scanning speed of the photosensitive substrate and an oscillation interval of the light pulses. The apparatus further includes an adjusting device for adjusting an intensity of the next light pulse to be radiated onto the mask on the basis of a difference between a target integrated light quantity and the measured integrated light quantity on each of the partial regions when some light pulses are radiated onto the mask.

Description:
BACKGROUND OF THE INVENTION  
         [0001]    1. Field of the Invention  
           [0002]    The present invention relates to an exposure control apparatus and method for controlling the exposure value onto a photosensitive substrate and, more particularly, to exposure control of an exposure apparatus of a slit-scanning exposure type for exposing a pattern on a mask onto a photosensitive substrate by illuminating a rectangular or arcuated illumination region with light pulses from a pulse light source, and synchronously scanning the mask and the photosensitive substrate with respect to the illumination region.  
           [0003]    2. Related Background Art  
           [0004]    Conventionally, in the manufacture of a semiconductor element, a liquid-crystal display element, a thin-film magnetic head, or the like using a photolithography technique, a projection exposure apparatus for exposing a pattern on a photomask or a reticle (to be referred to as a “reticle” hereinafter) onto a photosensitive substrate such as a wafer or glass plate coated with, e.g., a photoresist via a projection optical system is used. Recently, the size of a single chip pattern (one shot area radiated onto a wafer) on a semiconductor element tends to become large, and the projection exposure apparatus is required to expose a pattern having a larger area on a reticle onto a photosensitive substrate (large area requirement). Also, it is required to increase the resolution of the projection optical system in correspondence with a decrease in line width of a pattern of, e.g., a semiconductor element.  
           [0005]    However, it is not easy to increase the resolution of the projection optical system and to simultaneously increase the size of an exposure field of the projection optical system. In particular, when a catadioptric system is used as the projection optical system, an aplanatic exposure field often has an arcuated shape.  
           [0006]    In order to meet the above-mentioned large area requirement of a pattern to be transferred and limitation on the exposure field of the projection optical system, a projection exposure apparatus of a slit-scanning exposure type has been developed. In this apparatus, by synchronously scanning a reticle and a photosensitive substrate with respect to, e.g., a rectangular, arcuated, or hexagonal illumination region (to be referred to as a “slit-shaped illumination region”), a pattern, having an area wider than the slit-shaped illumination region, on the reticle is exposed onto the photosensitive substrate. In general, in a projection exposure apparatus, since an appropriate exposure value for a photosensitive material on a photosensitive substrate is determined, the projection exposure apparatus of the slit-scanning exposure type comprises an exposure control apparatus for controlling the exposure value with respect to the photosensitive substrate to coincide with an appropriate exposure value within a predetermined allowable range.  
           [0007]    As one technique for increasing the resolution of a pattern to be exposed onto a photosensitive substrate, a technique for decreasing the wavelength of exposure light is known. In association with this technique, of existing light sources, those which emit light having a short wavelength are pulse-oscillation type laser light sources (pulse-oscillation light sources) such as an excimer laser light source, a metal vapor laser light source, and the like. However, unlike a continuous emission type light source such as a mercury lamp, energy of light pulses emitted from a pulse-oscillation light source varies within a predetermined range in units of pulse emissions.  
           [0008]    Therefore, in the conventional exposure control apparatus, when the average energy of light pulses emitted from the pulse-oscillation light source is represented by pa, and the range of a variation in pulse energy of the light pulses is represented by &amp;p, it is assumed that a parameter Δp/pa representing the variation in pulse energy has a normal distribution (is random). When the number of light pulses radiated onto a certain region (to be referred to as a “pulse count integrating region” hereinafter) on a photosensitive substrate which is scanned relative to an exposure region conjugate with a slit-shaped illumination region illuminated with light pulses is represented by n, by utilizing the fact that a variation in integrated exposure value after the end of exposure is given by (Δp/pa)/n ½ , the integrated exposure value is controlled to reach an appropriate exposure value within a predetermined allowable range under the assumption that the variation (Δp/pa) in pulse energy does not exceed a predetermined value. For example, when Δp/pa three times a standard deviation σ is assumed to be 10%, in order to set a desired reproduction precision A of an integrated exposure value three times the standard deviation a to be 1%, n is 100 or more. Therefore, it suffices if the reticle and the photosensitive substrate are synchronously scanned relative to a slit-shaped illumination region, so that the number of light pulses radiated onto each pulse count integrating region on the photosensitive substrate becomes 100 or more.  
           [0009]    However, since conventional exposure value control is open control, when the oscillation state of the pulse-oscillation light source fluctuates for some reason, and the variation (Δp/pa) in pulse energy temporarily exceeds 10%, the desired reproduction precision A of the integrated exposure value can no longer be obtained.  
           [0010]    In order to solve this problem, in a projection exposure apparatus such as a stepper for exposing a pattern on a reticle onto a photosensitive substrate while the reticle and the photosensitive substrate stand still, as disclosed in commonly assigned Japanese Laid-Open Patent Application No. 63-316430 and U.S. Pat. No. 4,970,546, a modified exposure method for performing exposure by reducing some last light pulses, and a cutoff method for ending exposure when the integrated exposure value reaches an appropriate exposure value within a target precision range are known. In the cutoff method, the number of light pulses radiated onto the photosensitive substrate is not constant. Furthermore, as filed in commonly assigned U.S. patent application Ser. No. 623,176 (&#39;90. 12. 5), a technique for controlling an exposure value by finely adjusting pulse energy in units of pulses is also known.  
           [0011]    However, due to the unique feature of the projection exposure apparatus of the slit-scanning exposure type, that is, since light pulses radiated on a plurality of pulse count integrating regions on the photosensitive substrate have different integrated energy levels, the above-mentioned exposure value control method proposed for a non-scanning type exposure apparatus cannot be directly applied.  
         SUMMARY OF THE INVENTION  
         [0012]    The present invention has been made in consideration of the above-mentioned problems, and has as its object to provide an exposure control apparatus for an exposure apparatus which synchronously scans a reticle and a photosensitive substrate (W) relative to a slit-shaped illumination region by illuminating the slit-shaped illumination region with light pulses, wherein even when a variation in pulse energy in units of light pulses exceeds a predetermined range, an integrated exposure value onto the photosensitive substrate (W) can be controlled to be close to an appropriate exposure value.  
           [0013]    A projection exposure apparatus of the present invention which comprises a pulse light source ( 1 ) for emitting light pulses whose quantities vary within a predetermined range for every oscillations, an illumination optical system ( 2 ,  5 - 10 ) for radiating the light pulses from the pulse light source ( 1 ) onto a predetermined illumination region on a mask (R) on which a transfer pattern is formed, and a projection optical system (PL) for projecting an image of the pattern on the mask (R) radiated with the light pulses into a predetermined exposure region on a photosensitive substrate (W), and which synchronously scans the mask (R) and the photosensitive substrate (W) upon projection of the image of the pattern, comprises:  
           [0014]    (a) a measuring device ( 14 - 16 ) for detecting the intensity of the light pulses radiated onto the photosensitive substrate (W) during scanning of the mask (R) and the photosensitive substrate (W), and measuring an integrated light quantity of each of a plurality of partial regions in the exposure region on the photosensitive substrate (W) on the basis of the detection signal;  
           [0015]    the plurality of partial regions being defined by the scanning speed of the photosensitive substrate (W) and the emission interval of the light pulses; and  
           [0016]    (b) an adjusting device ( 16 ,  19 ) for adjusting the intensity of the next light pulse to be radiated onto the mask (R) on the basis of a difference between a target integrated light quantity and a measured integrated light quantity of each of the plurality of partial regions upon radiation of some light pulses onto the mask (R).  
           [0017]    Also, an exposure apparatus according to the present invention, which comprises a pulse light source ( 1 ) for emitting light pulses whose quantities vary within a predetermined range for every oscillations, radiates a plurality of light pulses emitted from the pulse light source ( 1 ) onto a first object (R), synchronously scans the first object (R) and a photosensitive second object (W), and exposes a pattern on the first object (R) onto the second object (W), comprises:  
           [0018]    (a) an illumination optical system ( 2 ,  5 - 10 ) for radiating the light-pulses from the pulse light source ( 1 ) onto a predetermined illumination region on the first object (R);  
           [0019]    (b) a measuring device ( 14 - 16 ) for detecting the intensity of the light pulses radiated onto the second object (W) during scanning exposure, and measuring an integrated light quantity on each of a plurality of partial regions in the illumination region on the second object, which region is irradiated with the light pulses incident on the second object (W) via the first object (R), on the basis of the detection signal,  
           [0020]    the plurality of partial regions being defined by the scanning speed of the second object (W) and the emission interval of the light pulses; and  
           [0021]    (c) an adjusting device ( 16 ,  19 ) for adjusting the intensity of the next light pulse to be radiated onto the first object (R) on the basis of a difference between the integrated light quantity and a target integrated light quantity of each of the plurality of partial regions upon radiation of some light pulses onto the first object (R).  
           [0022]    As described above, according to the present invention, when a pattern on the mask (R) as the first object is exposed onto the photosensitive substrate (W) as the second object by the slit-scanning exposure method using light pulses from the pulse light source ( 1 ), a plurality of partial regions (A 1 , A 2 , A 3 , . . . ) on the photosensitive substrate (W) have different integrated exposure values of the radiated light pulses, as shown in, e.g., FIG. 5. Thus, the measuring device (W) detects the intensity of light pulses radiated onto the photosensitive substrate (W), and measures the integrated exposure value so far of each of the partial regions (A 1 , A 2 , A 3 , . . . ) on the basis of the detection signal. The adjusting device ( 16 ,  19 ) calculates a difference between the integrated exposure value so far and a target integrated exposure value to be obtained upon radiation of the next light pulse for each partial region, and adjusts the intensity of light pulses radiated from the pulse light source ( 1 ) on the basis of the difference. In this manner, an average integrated light quantity on the entire exposure surface of the photosensitive substrate (W) can be controlled to coincide with an appropriate exposure value within a predetermined allowable range.  
           [0023]    Furthermore, an exposure method according to the present invention in which a first object (R) is irradiated with light pulses whose quantities vary within a predetermined range for every oscillations, and the first object (R) and a photosensitive second object (W) are synchronously scanned, and a pattern on the first object (R) is exposed onto the second object (W), comprises the steps of:  
           [0024]    detecting the intensity of the light pulses radiated onto the second object (W) during scanning exposure;  
           [0025]    measuring an integrated light quantity on each of a plurality of partial regions which are defined on the second object (W) by the scanning speed of the second object (W) and the oscillation interval of the light pulses, and are present within an illumination region of the light pulses which are incident on the second object (W) via the first object (R), when some light pulses are radiated onto the first object (R); and  
           [0026]    adjusting the intensity of the next light pulse to be radiated onto the first object (R) on the basis of a difference between the measured integrated light quantity and a target integrated light quantity of each of the plurality of partial regions.  
           [0027]    As described above, according to the present invention, the intensity of light pulses radiated onto the second object (W) during scanning exposure is detected, and an integrated exposure value on each of partial regions (A 1 , A 2 , A 3 , . . . ) is measured on the basis of the detection signal, as shown in, e.g., FIG. 5. A difference between the measured integrated light quantity and a target integrated exposure value to be obtained upon radiation of the next light pulse is calculated, and the light quantity of the light pulse radiated from the pulse light source ( 1 ) is adjusted based on the difference. Thus, an average integrated light quantity on the entire exposure surface of the second object (W) can be controlled to coincide with an appropriate exposure value within a predetermined allowable range.  
       
    
    
     BRIEF DESCRIPTION OF THE DRAWINGS  
       [0028]    [0028]FIG. 1 is a block diagram showing a projection exposure apparatus to which an embodiment of an exposure control apparatus according to the present invention is applied;  
         [0029]    [0029]FIG. 2 is a graph showing the relationship between the applied voltage and pulse energy of a pulse laser light source  1  shown in FIG. 1;  
         [0030]    [0030]FIG. 3 is a front view showing the arrangement of a light reduction unit  3  shown in FIG. 1;  
         [0031]    [0031]FIG. 4 is a graph showing the illuminance distribution of light pulses on a wafer of the embodiment in FIG. 1;  
         [0032]    [0032]FIG. 5 is a view showing a change in integrated exposure value on respective pulse count integrating regions;  
         [0033]    [0033]FIG. 6 is a graph showing a change in integrated exposure value on the first pulse count integrating region on the wafer of the embodiment in FIG. 1; and  
         [0034]    [0034]FIG. 7 is a graph showing changes in integrated exposure value on a plurality of pulse count integrating regions on the wafer of the embodiment in FIG. 1.  
     
    
     DESCRIPTION OF THE PREFERRED EMBODIMENTS  
       [0035]    An embodiment of an exposure control apparatus according to the present invention will now be described with reference to the accompanying drawings. In this embodiment, the present invention is applied to a projection exposure apparatus of a slit-scanning exposure type, which has a pulse-oscillation type exposure light source such as an excimer laser source as a light source.  
         [0036]    [0036]FIG. 1 shows the projection exposure apparatus of this embodiment. Referring to FIG. 1, a pulse laser source  1  such as an excimer laser source is connected to a trigger controller  20  for outputting external trigger pulses. The trigger controller  20  controls oscillation of the pulse laser source  1  in accordance with a command signal from a main control system  16  for controlling the operation of the overall apparatus. Light pulses emitted from the pulse laser source  1  of this embodiment are coherent.  
         [0037]    The exposure control apparatus of this embodiment comprises a first light quantity controller  18  for coarse adjustment, and a second light quantity controller  19  for fine adjustment as light quantity control means. The second light quantity controller  19  controls the integrated charge quantity (applied voltage) for pulse emission of the pulse laser source  1 . The second light quantity controller  19  controls the applied voltage to the pulse laser source  1  on the basis of a command signal from the main control system  16 , thereby finely adjusting pulse energy (exposure energy) in units of light pulses emitted from the pulse laser source  1 .  
         [0038]    [0038]FIG. 2 shows the relationship between the applied voltage and pulse energy. As shown in FIG. 2, by changing the applied voltage to the pulse laser source  1 , the energy of light pulses emitted from the pulse laser source  1  can be changed to have almost a linear relationship with the applied voltage. In this embodiment, pulse energy is finely adjusted in units of light pulses by changing the applied voltage to the pulse laser source  1 . Also, a method for finely adjusting pulse energy by changing a current to be supplied to the laser pulse source  1  is available.  
         [0039]    Referring back to FIG. 1, the pulse laser source  1  is constituted as a laser source having a stable resonator, which has a narrow-band wavelength stabilizing mechanism constituted by an etalon, a dispersion element, or the like on a portion between two oscillation mirrors which are arranged at two ends to sandwich a laser tube therebetween The pulse laser source  1  oscillates ultraviolet rays of a wavelength capable of exposing a photoresist layer on a wafer W, e.g., a KrF excimer laser beam (wavelength=248 nm) by causing a high-voltage discharge between two parallel electrodes extending along the optical axis of the laser beam. A laser beam LB 0  emitted from the pulse laser source  1  has a rectangular sectional shape according to the arrangement pattern of these two electrodes, i.e., the beam section has a rectangular shape having an aspect ratio of about ½ to ⅕. The laser beam LB 0  is incident on a beam shaping optical system  2  comprising a cylindrical lens, a beam expander, and the like, and the beam shaping optical system  2  outputs a laser beam LB 1  which is shaped to have a square beam sectional shape, and to have a size which allows efficient incidence on a fly-eye lens  5  (to be described later).  
         [0040]    The laser beam LB 1  is incident on a light reduction unit  3 . The light reduction unit  3  attenuates the incident laser beam at a desired ratio by continuously or discretely changing the transmittance for the incident laser beam within a range from 100% (complete transmission) to 0% (complete shielding). The transmittance of the light reduction unit  3  is determined by an appropriate exposure value and the number N exp  of pulses for a certain point on the wafer W required for actual exposure, which is, in turn, determined by the number N sp  required for smoothing an interference pattern formed on a reticle R or a wafer W, and the number N e  of pulses required for controlling an integrated exposure value at a certain point on the wafer W with a desired exposure value control precision. This will be described in detail later.  
         [0041]    If the transmittance of the light reduction unit  3  is set to have, e.g., six discrete steps, the transmittance is selected before the beginning of exposure, and is not changed to another value at least during exposure onto a single exposure field on the reticle R. In other words, the light reduction unit  3  uniformly attenuates the quantities of all light pulses at a predetermined light reduction ratio as long as the exposure condition (an appropriate exposure value for a certain point on the wafer W) onto the wafer W remains the same. Therefore, the light reduction unit  3  may comprise a light quantity fine adjustment mechanism having a relatively low response speed (switching speed between different transmittances). The light reduction unit  3  of this embodiment adopts a mechanism which comprises six mesh filters attached to a revolver, and having different transmittances, and rotates the revolver.  
         [0042]    [0042]FIG. 3 shows the revolver type light reduction unit  3 . Referring to FIG. 3, six different mesh filters  30   a  to  30   f  are attached to a disk-shaped revolver plate  30  at angular intervals of about 60° to have the rotational axis as the center. One of the mesh filters  30   a  to  30   f  is set in the optical path of the laser beam LB 1  shown in FIG. 1. In FIG. 3, the transmittance of the mesh filter  30   a  is about 100%, and the transmittances of the remaining mesh filters  30   b  to  30   f  are set to gradually decrease.  
         [0043]    As light reduction elements to be attached to the revolver plate  30 , dielectric mirrors having different transmittances may be used in place of the mesh filters. Also, when two sets of revolver plates  30  are arranged at a predetermined interval to be rotated relative to each other, the transmittances of the first revolver plate are set to be, e.g., 100%, 90%, 80%, 70%, 60%, and 50%, and those of the second revolver plate are set to be, e.g., 100%, 40%, 30%, 20%, 10%, and 5%, a total of 36 different transmittances can be realized by combining these two plates.  
         [0044]    As a light reduction method of the light reduction unit  3 , various methods can be used. For example, a diaphragm having a predetermined rectangular aperture can be combined with a zoom lens system, and light reduction can be continuously performed by changing the combination of the variable zoom ratio and the variable width of the rectangular aperture. Furthermore, a method of rotating a so-called etalon obtained by holding two glass plates (quartz plates or the like) to be substantially parallel to each other, or a method of moving two phase gratings or amplitude gratings relative to each other may be used. Alternatively, when a linearly polarized laser beam is used as exposure light, a method of rotating a polarization plate may be adopted as the light reduction method of the light reduction unit  3 .  
         [0045]    Referring back to FIG. 1, a substantially collimated laser beam LB 1 ′ which is attenuated by the light reduction unit  3  at a predetermined light reduction ratio is incident on the fly-eye lens  5  via an interference fringe reduction unit  4  for averaging an interference pattern. The interference fringe reduction unit  4  has a vibration mirror which is one-dimensionally (or two-dimensionally) vibrated by an actuator (e.g., a piezo element), and one-dimensionally (or two-dimensionally) moves an interference pattern on the reticle R (or the wafer W) by changing the incident angle of the laser beam LB 1 ′ incident on the fly-eye lens  5  in units of light pulses, thereby finally smoothing the interference pattern. In other words, the interference fringe reduction unit  4  is used for increasing the uniformity of the illuminance of a pulse laser beam on the reticle R (or the wafer W), and the details of its principle are disclosed in U.S. Pat. No. 4,619,508.  
         [0046]    The interference fringe reduction unit  4  may comprise an arrangement for rotating, e.g., a diffusion plate in synchronism with emission of light pulses in place of the arrangement using the vibration mirror.  
         [0047]    A laser beam IL 2  emerging from the fly-eye lens  5  is incident on a beam splitter  6  having a high transmittance and a low reflectance. The laser beam IL 2  transmitted through the beam splitter  6  is incident on a field stop  8  via a first relay lens  7 A. The sectional shape of the laser beam IL 2  is shaped into a slit shape by the field stop  8 . The arrangement plane of the field stop  8  is located at a position conjugate with the pattern formation surface of the reticle R and the exposure surface of the wafer W, and by adjusting the shape of the aperture portion of the field stop  8 , an illumination field having a desired shape can be obtained on the reticle R. The laser beam IL 2  emerging from the aperture portion of the field stop  8  illuminates a portion of a pattern region on the reticle R with a slit-shaped illumination region  25  via a second relay lens  7 B, a bending mirror  9 , and a main condenser lens  10 . The reticle R is placed on a reticle stage  11 .  
         [0048]    A laser beam diffracted by the pattern region on the reticle R forms a pattern image on the reticle R onto a photoresist layer as a photosensitive material on the wafer W via a projection optical system PL. More specifically, an image of a circuit pattern in the slit-shaped illumination region  25  is projected onto the exposure surface of the wafer W in a slit-shaped exposure region  26  conjugate with the slit-shaped illumination region  25  on the reticle R. The wafer W is vacuum-chucked on a wafer holder  12  on a wafer stage  13 , and the wafer stage  13  is constituted by an X stage for scanning the wafer W in the X direction as one direction in a plane perpendicular to the optical axis of the projection optical system PL, a Y stage for aligning the wafer W in the Y direction perpendicular to the X direction in the plane perpendicular to the optical axis, a Z stage for aligning the wafer W in the Z direction parallel to the direction of the optical axis, and the like.  
         [0049]    Upon execution of exposure based on a slit-scanning exposure method, a reticle stage scanning control system  21  and a wafer stage scanning control system  22  respectively drive the reticle stage  11  and the wafer stage  13  on the basis of commands from the main control system  16 . The wafer W is scanned in the −X direction with respect to the slit-shaped exposure region  26  in synchronism with scanning of the reticle R in the X direction with respect to the slit-shaped illumination region  25 . The relationship among an appropriate exposure value, the scanning speed in synchronous scanning, the laser oscillation frequency, and the like will be described in detail later.  
         [0050]    Of the laser beam IL 2  emerging from the fly-eye lens  5 , a laser beam reflected by the beam splitter  6  is focused on the light-receiving surface of a light-receiving element  15  by a condensing optical system  14 . The light-receiving element  15  precisely outputs a photoelectric signal according to the light quantity (light intensity) of each light pulse of the laser beam, and comprises a PIN photodiode having a sufficient sensitivity in an ultraviolet region, and the like. A photoelectric signal output from the light-receiving element  15  is supplied to the main control system  16 , and the main control system  16  sequentially integrates the light quantities of light pulses.  
         [0051]    The measured value (integrated light quantity) serves as fundamental data upon control of the applied voltage in units of light pulses for the pulse laser source  1  and upon execution of oscillation control in units of light pulses of the pulse laser source  1  via the trigger controller  20  in the main control system  16 . Note that the relationship between the illuminance of the laser beam on the exposure surface of the wafer W and the photoelectric signal output from the light-receiving element  15  is obtained by, e.g., a power meter in advance, and is stored in a memory  23   
         [0052]    The main control system  16  is connected to an input-output device  24  and the memory  23 . On the basis of the measured value from the light-receiving element  15 , the main control system  16  outputs a control command to the trigger controller  20  and also outputs predetermined command signals to the first and second light quantity controllers  18  and  19 , and an interference fringe reduction controller  17 . The main control system  16  systematically controls the operation of the entire projection exposure apparatus. The input-output device  24  serves as a man-machine interface between an operator and the projection apparatus main body, transmits various parameters necessary for exposure from the operator to the main control system  16 , and informs the operation state of the main control system  16  to the operator.  
         [0053]    The memory  23  stores parameters (constants) and tables input from the input-output device  24  and required for an exposure operation, various calculations, and the like; photosensitive characteristics of the light-receiving element  15 ; and the like. In particular, in this embodiment, the memory  23  stores information of a minimum number N sp  of pulses required for satisfactorily smoothing an interference pattern by the interference fringe reduction unit  4 , and the number N e  of pulses required for controlling an integrated exposure value with a desired exposure value control precision.  
         [0054]    A method of determining a transmittance a of the reduction unit  3  and a synchronous scanning speed v (cm/sec) of the wafer stage  13  by the main control system  16  will be described below. If the photoresist sensitivity on the wafer W is represented by S (mj/cm 2 ), the energy density per light pulse on the exposure surface of the wafer W in a non-light reduction state is represented by p (mj/cm 2 ·pulse), the transmittance of the first light quantity controller  18  is represented by α, the transmittance of the second light quantity controller  19  is represented by β, the slit width, in the scanning direction, of the slit-shaped exposure region  26  on the exposure surface of the wafer W is represented by D (cm), and the laser oscillation frequency of the pulse laser source  1  is represented by f (Hz), the number N exp  of pulses required for exposing a certain point on the exposure surface of the wafer W is given by:  
           N   exp   =S /(α·β· p )= D·f/v =integer  (1)  
         [0055]    From formula (1), S/(α·β·p) must be converted into an integer, and conversely, when S/(α·β·p) cannot be converted into an integer even after the transmittance β is finely adjusted, an offset (error) from a target value undesirably results upon exposure. Therefore, the transmittance β must be largely changed by a method of uniformly controlling all light pulses in place of a method of controlling each light pulse by the second light quantity controller  19 . Similarly, D·f/v in formula (1) must be converted into an integer. When the slit width D in the scanning direction is constant, and the laser oscillation frequency f assumes a maximum value (such a case is advantageous in terms of the throughput), the scanning speed v must be adjusted.  
         [0056]    When the photoresist has a low sensitivity, i.e., the sensitivity S has a large value, it is preferable that the scanning speed v be decreased. When the photoresist has a high sensitivity, i.e., the sensitivity S has a small value, the scanning speed v must be increased. However, the scanning speed v has an allowable maximum value v max . For this reason, when the scanning speed v exceeds its maximum value, the transmittance a must be decreased by controlling the light reduction unit  3  by the first light quantity controller  18 , so that the scanning speed v becomes smaller than the maximum value v max . The number N exp  of pulses must be larger than the minimum number N sp  of pulses required for smoothing an interference pattern, and the number N e  of pulses required for controlling an integrated exposure value with a desired exposure value control precision. To summarize the above-mentioned conditions, we have:  
           v   max ≧( D·f/s )·α·β· p   (2)  
           N   exp   =S /(α·β· p )≧Max( N   e   ,N   sp )  (3)  
         [0057]    where the function Max(A, B) indicates a larger one of values A and B. From formulas (1) and (3), the following formulas are established:  
               α   ≤     Min                       v   max     Df     ·     s     β                 p             ,       1     Max                   (       N   e     ,     N   sp       )         ·     s     β                 p                 (   4   )                               
 
         [0058]    where the function Min(A, B) indicates a smaller one of values A and B. When the transmittance a must be set, the transmittance β is re-set based on formula (1) after the transmittance α is set. Thereafter, the scanning speed v is determined based on formula (1).  
         [0059]    Energy fine adjustment executed when energy is adjusted via the second light quantity controller  19  in units of light pulses emitted from the pulse laser source  1  will be described below.  
         [0060]    From formula (1), a distance X step  by which the wafer stage  13  is scanned in the −X direction as the scanning direction during each pulse emission interval of the pulse laser source  1  is given by:  
           X   step   =D/N   exp   (5)  
         [0061]    In order to rewrite this formula, if the exposure surface of the wafer W is divided into regions each having the width X step  in the scanning direction (to be referred to as “pulse count integrating regions” hereinafter), the width D, in the scanning direction, of the slit-shaped exposure region  26  on the wafer W is defined by multiplying N exp  equal to the number of exposure pulses with the width X step , in the scanning direction, of each of the pulse count integrating regions.  
         [0062]    The integrated exposure value on each of a plurality of pulse count integrating regions on the wafer W will be described below with reference to FIGS. 4 and 5.  
         [0063]    [0063]FIG. 4 shows a state wherein the exposure surface of the wafer W is divided into the pulse count integrating regions. In FIG. 4, the X coordinate at a certain timing on the wafer W is plotted along the abscissa, and an illuminance IW at each X position is plotted along the ordinate. FIG. 4 shows a case wherein the width D of the slit-shaped exposure region is four times the width X step , in the scanning direction, of the pulse count integrating region, i.e., the number N exp  of exposure pulses is four (in practice, several 10 pulses or more are required). In FIG. 4, the slit-shaped exposure region scans the wafer W in the X direction for the sake of simplicity. When the illuminance distribution by the first light pulse is represented by a rectangular illuminance distribution  26 A, an illuminance distribution  26 B by the second light pulse is shifted by X step  in the X direction from the illuminance distribution  26 A by scanning of the wafer W relative to the slit-shaped exposure region. Similarly, an illuminance distribution  26 C by the third light pulse is shifted by X step  from the illuminance distribution  26 B in the X direction. Then, the illuminance distributions by the light pulses are successively shifted by X step  in the X direction. The value of the illuminance distribution IW by energy of each light pulse varies due to a variation in output from the pulse laser source  1 .  
         [0064]    For this reason, a pulse count integrating region A 1  of the width X step  irradiated with the first light pulse, a pulse count integrating region A 2  of the width X step  irradiated with the second light pulse, and a pulse count integrating region A 3  of the width X step  irradiated with the third light pulse have different integrated exposure values, respectively.  
         [0065]    A method of calculating energy of the next pulse laser beam to be radiated from the pulse laser source  1  in the main control system  16  will be described below with reference to FIG. 5. FIG. 5 shows a change in integrated exposure value over time on each pulse count integrating region. Also, FIG. 5 shows a state wherein the wafer W is scanned in the −X direction relative to the slit-shaped exposure region, and the pulse laser source  1  emits a light pulse. Assume that the transmittance α is determined in advance by formula (4), and the transmittance D is finely adjusted to convert (N exp =S/(α·β·p)) in formula (1) into an integer. The pulse energy density on the exposure surface of the wafer W is represented by q (mJ/cm 2 ·pulse) (=α·β·pa). A variable pa is an average value of the energy density p per pulse on the exposure surface of the wafer W in a non-light reduction state.  
         [0066]    When the first pulse light is emitted to the wafer W, the main control system  16  adjusts the applied voltage of the pulse laser source  1  via the second light quantity controller  19  by the above-mentioned calculation, so that the light pulse has energy q. In this case, assuming that the exposure value of the first pulse actually detected by the light-receiving element  15  is e1, as shown in FIG. 5, the main control system  16  calculates a difference D11 between the integrated exposure value e1 by the first pulse and a target integrated exposure value 2q by the second pulse on the pulse count integrating region A 1 . Furthermore, the main control system  16  calculates a difference D21 (=q) between an integrated exposure value 0 by the first pulse and the target integrated exposure value q on the pulse count integrating region A 2 . Then, the control system  16  calculates an average value (D11+D21)/2 of the calculated differences. The main control system  16  finely adjusts the applied voltage of the pulse laser source via the second light quantity controller  19 , so that the light quantity of the second pulse emitted from the pulse laser source  1  becomes equal to the average value (D11+D21)/2 of the differences. Thereafter, the second pulse is emitted. If the actually detected exposure value of the second pulse is e2, the main control system  16  calculates a difference D12 between the integrated exposure value (e1+e2) and a target integrated exposure value 3q by the third pulse on the pulse count integrating region A 1 . Similarly, the control system  16  calculates a difference D22 between the integrated exposure value and a target integrated exposure value 2q by the third pulse on the pulse count integrating region A 2 , and a difference D32 between the integrated exposure value and the target integrated exposure value q by the third pulse on the pulse count integrating region A 3 , and then calculates an average value (D12+D22+D32)/3 of these differences. The main control system  16  finely adjusts the applied voltage of the pulse laser source  1  via the second light quantity controller  19 , so that the light quantity of the third pulse becomes equal to (D12+D22+D32)/3, and thereafter, the third pulse is emitted. Similarly, upon completion of emission of the third pulse, the main control system  16  calculates differences D13, D23, D33, and D43 between the integrated exposure values by the third pulse and the target integrated exposure values by the fourth pulse on the pulse count integrating regions A 1 , A 2 , A 3 , and A 4 , and adjusts the light quantity of the light pulse on the basis of an average value of these differences. At the fifth pulse as well, the main control system  16  calculates differences D24, D34, D44, and D54 between integrated exposure values by the fourth pulse and the target integrated exposure values by the fifth pulse on the pulse count integrating regions A 2 , A 3 , A 4 , and A 5 , and adjusts the light quantity of the light pulse on the basis of an average value of these differences.  
         [0067]    If the first pulse with which the exposure surface of the wafer W is actually exposed by scanning exposure is represented by n=1, a target light quantity Q n  of an n-th pulse can be obtained by the following formulas:  
                 Q   1     =   q          
            Q   n     =       1   n          {     q   +       ∑     i   =   2     n          i   ·   q       -       ∑     j   =     n   -   i   +   1         n   -   1          Tj       }                     (     2   ≤   n   &lt;     N   exp       )              
            Q   n     =       1     N   exp            {     q   +       ∑     i   =   2       N   exp            i   ·   q       -       ∑     j   =     n   -   i   +   1         n   -   1          Tj       }                     (       N   exp     ≤   n   &lt;     Me   +   1       )              
            Q   n     =       1     n   -     Int                   (     Me   +   1     )                {     q   +       ∑     i   =       N   exp     -   n   +     Int        (     Me   +   1     )       +   1         N   exp            i   ·   q       -       ∑     j   =     n   -   i   +   1         n   -   1          Tj       }              
          (       Me   +   1     ≤   n   &lt;     Me   +     N   exp     +   1       )             (   6   )                               
 
         [0068]    where Me=L/X step  and L is the length, in the scanning direction, of an exposure field on the wafer W. The term i·q in each of the second, third, and fourth formulas in formulas (6) represents the target integrated exposure value on the i-th pulse count integrating region, and the term σTj therein represents the integrated exposure value of light pulses exposed so far on the i-th pulse count integrating region. Therefore, each of the second, third, and fourth formulas in formula (6) means that the average value of differences between integrated exposure values so far on all pulse count integrating regions having the number of exposure pulses &gt;N exp , and the target integrated exposure values by the next pulse is defined as energy of the next pulse emission of the pulse laser source  1 . More specifically, the main control system  16  in FIG. 1 adjusts the applied voltage of the pulse laser source  1  via the second light quantity controller  19 , so that the average value of pulse energy to be radiated by the next light pulse on the pulse count integrating regions (A 1 , A 2 , A 3 , . . . in FIG. 4) is used as pulse energy of the next pulse emission of the pulse laser source  1 .  
         [0069]    The control state of the integrated exposure value on the pulse count integrating region Al in FIG. 5 will be described below with reference to FIG. 6. FIG. 6 shows a change in integrated exposure value in units of pulse emissions on the pulse count integrating region A 1 . In FIG. 6, a solid polygonal line represents the actually integrated exposure value, and an alternate long and two short dashed line represents the target integrated exposure value at the timing of radiation of each light pulse. FIG. 6 shows a case wherein the number N exp  of exposure pulses is 8, i.e., the width D, in the scanning direction, of the slit-shaped exposure region  26  is 8·X step  for the sake of simplicity. If the actual exposure value for a target integrated exposure value P 1  of the first pulse is represented by P 1 ′, an exposure value P 2  as a difference between a target integrated exposure value (=2·P 1 ) of the second pulse and the actual exposure value P 1 ′ is energy to be radiated by the second pulse on the pulse count integrating region A 1 .  
         [0070]    In this embodiment, in place of directly using the exposure value P 2 , differences between the target integrated exposure values by the second pulse and the integrated exposure values so far are calculated for the pulse count integrating regions to be exposed by the next pulse emission, and an average value of these differences is defined as energy to be radiated by the second pulse. The applied voltage of the pulse laser source  1  in FIG. 1 is controlled to obtain this energy. As a result, on the pulse count integrating region A 1 , energy of, e.g., an exposure value P 2 ′ is radiated upon radiation of the second light pulse. As for the third pulse and subsequent pulses, differences between target integrated exposure values and actual integrated exposure values are calculated for the pulse count integrating region A 1  and other pulse count integrating regions, and an average value of these differences is defined as an exposure value of the next light pulse. The details of a method of calculating a target value of exposure energy by next pulse emission on each pulse count integrating region are filed as, e.g., U.S. Ser. No. 623,176 (&#39;90. 12. 5).  
         [0071]    When exposure is performed in this manner, the main control system  16  in FIG. 1 calculates the target value of pulse energy by the next light pulse in units of light pulses using formulas (6), and executes light quantity control of the pulse laser source  1  via the second light quantity controller  19  to obtain the calculated pulse energy. The exposure value control precision A of the method of this embodiment is given by:  
             A   ≃         1     N   exp       ·       (     Δ                   p   /   pa       )       1   -     (     Δ                   p   /   pa       )                {     1   -     (     Δ                   p   /   pa       )     +     1   2     +     1   3     +   …              +     1     N   exp         }               (   7   )                               
 
         [0072]    where (Δp/pa) is the variation in pulse energy.  
         [0073]    In order to obtain an exposure value control precision A=1% at (Δp/pa)=10%, N exp ≧50 pulses need only be satisfied from formula (7). In other words, N e ≈50. The number N sp  of pulses in formula (3) required for reducing an interference fringe is normally experimentally determined, and 50 pulses are reckoned to suffice. Therefore, Max(N e , N sp )=50 need only be set in formula (3).  
         [0074]    In this embodiment, light quantity adjustment of light pulses is performed for each pulse. Alternatively, if a target light quantity Qn of the n-th pulse calculated in formulas (6) above falls within a light quantity range (adjustable range) of a light pulse which can be adjusted by the second light quantity controller  19 , light quantity adjustment can be performed in units of an arbitrary number of pulses (e.g., in units of five pulses). The second light quantity controller  19  may be controlled to change the light quantity adjustment interval during single scanning exposure (e.g., adjustment in units of five pulses may be changed to adjustment in units of three pulses during exposure). Furthermore, only when the target light quantity Qn of the n-th pulse exceeds a predetermined allowable range in the above-mentioned adjustable range, the second light quantity controller  19  may be controlled to perform light quantity adjustment.  
         [0075]    In this embodiment, upon radiation of the n-th light pulse, a difference between the integrated exposure value at that time and the target integrated exposure value to be given upon radiation of the (n+1)-th pulse is calculated. Alternatively, a difference (error) between the integrated exposure value and the target integrated exposure value upon radiation of the n-th light pulse may be calculated. Thus, an average value of errors obtained by the respective pulse count integrating regions is used as an offset in light quantity adjustment of the (n+1)-th light pulse, thereby adjusting the light quantity of the light pulse via the second light quantity controller  19 .  
         [0076]    Furthermore, in this embodiment, an average value of differences between the integrated exposure values and the target integrated exposure values on a plurality of pulse count integrating regions is calculated, and the average value is set to be a light quantity of the next light pulse. However, the present invention is not limited to this. For example, maximum and minimum values of these differences may be used, and an average value of the maximum and minimum values may be set to be a light quantity of the next light pulse.  
         [0077]    Finally, in the case of the slit-scanning exposure type exposure apparatus, since pulses radiated in units of pulse count integrating regions in an exposure field are slightly shifted from each other, the above-mentioned exposure value control precision A varies in units of pulse count integrating regions. For example, assuming that N exp  pulses from the n-th pulse to the (n+N exp −1)-th pulse are radiated on a certain pulse count integrating region, N exp  pulses from the (n+1)-th pulse to the (n+N exp )-th pulse are radiated on a neighboring pulse count integrating region on the trailing side in the scanning direction. For this reason, the main control system  16  discriminates the exposure value control precision in units of pulse count integrating regions. In this case, an internal memory for the integrated light quantity in the main control system  16  must have at least a capacity corresponding to N exp  pulses, and ideally, it is desirable to prepare a capacity corresponding to L/X step.    
         [0078]    A method of discriminating whether or not exposure with an appropriate exposure value is performed on a wafer in a case wherein exposure is performed in units of pulse count integrating regions, as indicated by polygonal lines in FIG. 6, will be explained below with reference to FIG. 7. In FIG. 7, a polygonal line  28 A represents a change in exposure value in the pulse count integrating region A 1  shown in FIG. 6, and other polygonal lines  28 B to  28 E respectively represent changes in exposure values in the pulse count integrating regions A 2  to A 8  (not shown). In this case, in the first pulse count integrating region A 1 , a difference ΔE A  between an appropriate exposure value E ade  and an actually integrated exposure value is calculated upon completion of exposure of the last pulse When the difference ΔE A  exceeds a predetermined allowable value, the main control system  16  determines that the exposure value onto the wafer is not appropriate, and terminates the exposure process onto the wafer in an abnormal exposure state.  
         [0079]    When the difference ΔE A  is equal to or smaller than the predetermined allowable value, a difference between the appropriate exposure value E ade  and the actually integrated exposure value for each of the pulse count integrating regions A 2 , A 3 , . . . is calculated, and it is checked if differences ΔE B , ΔE C , . . . exceed the predetermined allowable value. Then, as indicated by the polygonal line  28 E in FIG. 7, when a difference ΔE E  between the appropriate exposure value E ade  and the actually integrated exposure value on the pulse count integrating region A 8  (not shown) exceeds the predetermined allowable value, the exposure process onto the wafer is terminated in an abnormal exposure state. When the difference ΔE E  is equal to or smaller than the predetermined allowable value, a difference between the appropriate exposure value E ade  and the actually integrated exposure value on the next pulse count integrating region is similarly calculated, and it is checked if the calculated difference exceeds the predetermined allowable value. Thus, it can be quickly and precisely discriminated whether or not the exposure value onto the wafer is appropriate.  
         [0080]    The above-mentioned discrimination may be made not only when N exp  pulses are radiated onto each pulse count integrating region but also when an arbitrary number of light pulses are radiated. More specifically, when the n-th light pulse is radiated onto an exposure field, the main control system  16  calculates differences between the integrated exposure values and the target integrated exposure values at that time in units of pulse count integrating regions, and if the system  16  detects any difference which exceeds the predetermined allowable value, it may terminate the exposure process onto the wafer at that time.  
         [0081]    In this embodiment, as a method of adjusting the energy of each light pulse during single scanning exposure, a method of controlling the applied voltage to the pulse laser source  1  is used. Various other methods may be used as long as they can obtain a transmittance which changes continuously, and have a high response speed. More specifically, a combination of an aperture and a zoom lens system, an etalon, two phase gratings or density gratings, a rotary polarization plate (in the case of a linearly polarized light laser), or the like, which have been described above as examples of the light reduction unit  3 , may be used.  
         [0082]    As described above, the present invention is not limited to the above-mentioned embodiment, and various changes and modifications may be made within the spirit and scope of the invention.