ILLUMINATION SYSTEM

Abstract: Disclosed is an illumination system applicable to contact or proximity exposure apparatus, which provides exellently well-collimated light without any irradiance reduction in peripheral area of an object to be illuminated. The illumination system according to the invention includes a light source (LS), an ellipsoidal mirror (EM) positioned with respect to the light source, an optical system (OS) designed so that the entrance height of the light received in the entrance pupil thereof is substantially proportioned to the tangent of the exit angle in the exit pupil thereof, and a single Fresnel lens (CS) designed so that light passed therethrough is abated in the sperical aberration. Light exited from the optical system is received on the front surface of the Fresnel lens (CS), where the irradiance distribution is uniform through the surface, and the Fresnel lens transmits light received with abating the sperical aberration to a mask film (MF) bearing a desired circuit pattern. Desired exposure is made on a photosensitive material (PM) with exellently well-collimated light.

Description: The present invention relates to an illumination system for illuminating an object with well-collimated light according to the preamble of claim 1, as known from US-A 3,988,066. This conventional illumination system has a long optical path which makes an illumination apparatus incorporating such illumination systems large in size. Accordingly, it is the object of the invention to provide an illumination system which realizes a short optical path of the system. This object is accomplished by the features of the characterising part of claim 1. Other novel features and advantages of the invention will become apparent in the course of the following detailed description taken together with the accompanying drawings, which are directed only to the understanding of the present invention and not to the restriction of the scope of the invention. BRIEF DESCRIPTION OF THE DRAWINGS Fig. 1 is a schematic view of the optical system to be incorporated into the illumination system according to the present invention; Fig. 2 is a schematic view of the illumination system according to the invention; Fig. 3 is a graphic representation which shows the relationship between the entrance height and the tangent of an exit angle of an optical system; Fig.4 is an elevational view of the first example of the optical system; Fig. 5 is a graphic representation which shows the h - k characteristics of the first example; Figs. 6 through 8 are, respectively, graphic representations of the irradiance distribution on the incident surface of the collimation lens; Fig. 9 is an elevational view of a second example of the optical system; Fig. 10 is a graphic representation which shows the h - k characteristics of the second example; Figs. 11 through 13 are, respectively, graphic representations of the irradiance distribution on the collimation lens, when using the second example; Fig. 14 is an elevational view of a third example of the optical system; Fig. 15 is a graphic representation which shows the h - k characteristics of the third example; Figs. 16 through 18 are, respectively, graphic representations of the irradiance distribution on the incident surface of the collimation lens, when using the third example; Fig. 19 is an elevational view of a fourth example of the optical system; Fig. 20 is a graphic representation which shows the h - k characteristics of the fourth example; Figs. 21 through 23 are, respectively, graphic representation of the irradiance distribution on the incident surface of the collimation lens; Fig. 24 is an elevational view of the fifth example of the optical system; Fig. 25 is a schematic view of an optical system using an aspherical lens for explaining a refraction of the light entered thereinto; Fig. 26 is an elevational view of a sixth example of the optical system; Fig. 27 is an elevational view of a seventh example of the optical system; Fig. 28 is a schematic graphic representation of the irradiance distribution on the incident surface of the Fresnel lens, hence of a mask film MF ; Fig. 29 is an elevational view of a eighth example of the optical system; Fig. 30 is a schematic graphic representation of the irradiance distribution on the incident surface of the Fresnel lens, hence of a mask film MF ; Fig. 31 is a perspective view of the fly-eye structure of the optical system; Fig. 32 is a sectional view showing the configuration of a Fresnel lens to be incorporated into the illumination system. DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS Referring to Figs. 1 and 2, the illumination system according to the invention generally comprises a light source LS , an ellipsoidal mirror EM disposed with respect to the light source LS , a mirror M ₁ disposed on the light path, an optical system OS , a reflection mirror M ₂, a collimation system CS , a mask film MF bearing desired circuit patterns thereon and a photosensitive material PM , in order. The light source LS is positioned at or adjacent to the first focal point of the ellipsoidal mirror EM , so that light emmitted from the light source LS is condensed and directed to the optical system OS through the mirror M ₁. The mirror M ₁ comprises so-called a cold mirror which admits most of infrared radiation to pass therethrough and reflects most of ultraviolet radiation, thereby various disadvantageous phenomena incurred by heat can be avoided. The optical system OS is positioned at the point adjacent to the second focal point of the ellipsoidal mirror EM , which is the best in order to form the secondary light source by the optical system OS , since light emitted from the light source LS is most condensed at this point. However, it will do that the optical system OS is disposed at a position optically nearer to the light source LS than that as mentioned above, as far as the light directed toward the optical system OS is received within the effective area thereof. Light condensed by the ellipsoidal mirror EM enters into the optical system OS at the entrance height h , and in turn exits therefrom at the exit angle ϑ , to impinge upon the incident surface of the collimation system CS . The optical system OS is designed so that the entrance height h is substantially proportioned to the tangent of the exit angle ϑ , which is expressed by the formula (2), which can be transformed as follows: h = k tan ϑ (3) Whereas, it will be apparent from Fig. 1 that the following formula is established: tan ϑ = ( H / b ) (4) where H is an illumination height between the optical axis and the point on which the light entered at the entrance height h is impinged upon a point Q on the incident surface of the collimation system CS , and b is the distance between the incident surface of the collimation system CS and the point P at which the image of the light source LS , i.e. a secondary light source, is formed. Accordingly, the following formula (5) is obtained from the formulae (3) and (4): h = ( k / b )· H (5) Indeed the exit angle ϑ and the illumination height H are changed when the entrance height h is increased or decreased, however the distance b can be regarded as constant because the point P is changed in such a degree as caused by the aberration, which is so small as be disregarded. Thus, in the optical system a substantially proportional relationship between the entrance height h and the tangent of the exit angle ϑ is established as shown in Fig. 3. Accordingly, it will be apparent that the relationship between the radius A o around the optical axis, of the entrance pupil A , and the radius S o around it on the incident surface of the collimation system CS , within which the illumination is realized by the light entered through the radius A o, is proportional similarly to the relationship between the entrance height h and the illumination height H . That is, when the value of the radius A o is increased, the value of the radius S o is increased at the same rate. From this, it will be apparent that the irradiance distribution on the incident surface of the collimation system CS is the same as that of the entrance pupil A , from the center to the peripheral area thereof. FIRST EXAMPLE Referring to Fig. 4, which shows a first example of the optical system OS , that shown therein comprises four optical units L ₁ to L ₄ including four lenses. Respective lens data of the optical system is listed in Table 1 . Referring to Fig. 5, there are shown the characteristics of the proportional constant k relative to the entrance height h when using the optical system shown in Fig. 4, where the vertical axis depicts the entrance height h , and the horizontal axis depicts the proportional constant k , which is expressed in the formula (3). The characteristics of the proportional constant k relative to the entrance height h (hereinafter referred as h - k characteristics) show the fidelity of the optical system to the ideal optical design, from which the fact that the proportional constant k is constant independent of the entrance height h means that the optical system is designed to be ideal, i.e. the tangent of the exit angle ϑ is exactly proportioned to the entrance height h . In Fig. 5, it will be apparent that the optical system shown in Fig.4 is very approximate to the ideal characteristics, because the fluctuation of the proportional constant k of the optical system shown in Fig. 4 is within the range of 0.008. Figs. 6 through 8 show an irradiance distribution on the incident surface of the collimation system CS when using the optical system shown in Fig. 4, in which the collimation system CS is disposed at a distance of 100 from the optical system. Fig. 6 is a graphic representation of the irradiance distribution in the case where the point source is positioned on the optical axis at a distance of 50 from the front surface of the optical system, and Figs. 7 and 8 are graphic representations of the irradiance distribution of the meridional ray and the sagittal ray on the incident surface of the collimation system CS , respectively, in the case where the point source is positioned away by 14 from the optical axis and at a distance of 50 from the front surface of the optical system. The respective vertical axis of Figs. 6 through 8 depicts the relative irradiance when the irradiance of the center of the collimation system CS is regarded as 100 percent. From Figs. 5 through 8, it will be apparent that the range of 100 in diameter on the incident surface of the collimation system can be illuminated evenly and uniformly by using the optical system shown in Fig. 4. SECOND EXAMPLE Referring to Fig. 9, which shows a second example of the optical system OS , that shown therein comprises three optical units L ₅ to L ₇ including three lenses. The lens data of the optical system is listed in Table 2 . Referring to Fig. 10, there are shown the h - k characteristics of the optical system shown in Fig. 9. Figs. 11 through 13, respectively, show an irradiance distribution on the incident surface of the collimation system CS when using the optical system shown in Fig. 9, in which the collimation system CS is placed at a distance of 100 from the rear surface of the optical system. Fig. 11 is a graphic representation of the irradiance distribution in the case where the point source is positioned on the optical axis at a distance of 50 from the front surface of the optical system. Figs. 12 and 13 are graphic representations of the irradiance distribution of the meridional ray and the sagittal ray on the incident surface of the collimation system respectively, in the case where the point source is positioned away by 14 from the optical axis and at a distance of 50 from the front surface of the optical system. The respective vertical axis of Figs. 11 through 13 depicts the relative irradiance when the irradiance of the center of the collimation system is regarded as 100 percent. From Figs. 10 through 13, it will be apparent that a range of 100 in diameter on the incident surface of the collimation system can be illuminated evenly and uniformly by using the optical system shown in Fig.9. THIRD EXAMPLE Referring to Fig. 14, which shows a third example of the optical system OS , that shown therein comprises two optical units L ₈ to L ₉ including two lenses. The lens data of the optical system is listed in Table 3 . Referring to Fig. 15, there are shown the h - k characteristics of the optical system shown in Fig. 14. Figs. 16 through 18, respectively, show an irradiance distribution on the incident surface of the collimation system CS when using the optical system shown in Fig. 14, in which the collimation system CS is placed at a distance of 100 from the rear surface of the optical system. Fig. 16 is a graphic representation of the irradiance distribution in the case where the point source is positioned on the optical axis at an infinite distance from the front surface of the optical system. Figs. 17 and 18 are graphic representations of the irradiance distribution of the meridional ray and the sagittal ray on the incident surface of the collimation system CS respectively, in the case where the incident rays from the point source are entered into the optical system at the incident angle of 10 degrees. The respective vertical axis of Figs. 16 through 18 depicts the relative irradiance when the irradiance of the center of the collimation system is regarded as 100 percent. From Figs. 15 through 18, it will be apparent that a range of 100 on diameter on the collimation system can be illuminated evenly and uniformly by using the optical system shown in Fig. 14. FOURTH EXAMPLE Referring to Fig. 19, which shows a fourth example of the optical system, that shown therein comprises a single optical unit L ₁₀ including four lenses. The lens data of the optical system is listed in Table 4 . Referring to Fig. 20, there are shown the h - k characteristics of the optical system shown in Fig. 19. Figs. 21 through 23, respectively, show an irradiance distribution on the incident surface of the collimation system CS when using the optical system shown in Fig. 15, in which the collimation system is placed at a distance of 100 from the rear surface of the optical system. Fig. 21 is a graphic representation of the irradiance distribution in the case where the point source is positioned on the optical axis at a distance of 50 from the front surface of the optical system, and Figs. 22 and 23 are graphic representations of the irradiance distribution of the meridional ray and the sagittal ray on the incident surface of the collimation system CS respectively, in the case where the point source is positioned away by 14 from the optical axis and at a distance of 50 from the front surface of the optical system. The respective vertical axis of Figs. 21 through 23 depicts the relative irradiance when the irradiance of the center of the collimation system is regarded as 100 percent. From Figs. 20 through 23, it will be apparent that a range of 70 in diameter on the incident surface of the collimation system can be illuminated evenly and uniformly by using the optical system shown in Fig. 19. In the aforementioned four examples, only spherical lenses are used for the optical system OS , but an aspherical lens can also be used. The aspherical lens is designed as discussed below. Returning back to Fig. 1, the tangent of the exit angle ϑ is expressed as follows: tan ϑ = h / C (6) where h is an entrance height, and C is the distance between the entrance pupil A and the point P that the real image of the light source LS is formed. Since the optical system is designed so that the entrance height h is proportioned to the tangent of the exit angle ϑ , the following formula (7) is obtained from the formulae (3) and (6): C = k (7) In the case where the light source LS can be regarded as being positioned at the infinite distance, the distance C is equivalent to the focal length f . Thus, the following formula (8) is established: C = f (8) From the formulae (7) and (8), the following formula (9) is obtained: k = f (9) Accordingly, the formula (3) can be transformed into the following formula (10): tan ϑ = h / f (10) Now, referring to Fig. 25, a symbol n ₁ denotes the refractive index of a prior medium to the surface of an aspherical lens, a symbol n ₂ denotes the refractive index of a posterior medium thereto, a symbol  denotes the angle at the incident point e of the light from the infinite distance, between the normal of the surface and the optical axis, and a symbol λ denotes the angle which the light refracted at the surface forms relative to the optical axis. Then, from Snell's law the following formula (11) will be established: n ₁ sin  = n ₂ sin( - λ) (11) By expanding formula (11), the formula (12) can be obtained: n ₁ sin = n ₂ sincosλ - n ₂ cossinλ n ₁ tan = n ₂ cosλtan - n ₂ sinλ Now, a discussion is given with regard to the relational expression between the distance z and the distance h , which represents the configuration of the surface of the aspherical lens. The inclination of the surface at the point e is expressed by and the inclination of the normal at the point e relative to the surface is expressed by Whereas, as apparent from Fig. 25, the inclination of the normal really is expressed by tan . Accordingly, the formula (13) is established from the above: dz / dh = tan  (13) Then, from the formulae (12) and (13) obtained is the following formula (14): Whereas, sin²λ, + cos²λ = 1 and then these are transformed into and hence these are further transformed, in consideration of the formula (10), into and Then, by substituting these for the formula (14) obtained is the following formula (15): Assuming f = 1, the differential equation (15) is resolved as follows: where C is an integration constant. In the case where the intersection of the refraction surface and the optical axis is regarded as an origin of the z-axis, the integration constant C is expressed as the following formula (17): FIFTH EXAMPLE Referring to Fig. 24, which shows a fifth example of the optical system OS , that shown therein comprises a single aspherical lens L ₁₁. In this example, the aspherical lens L ₁₁ is made of a material having a refractive index of 1.5. Whereas, the prior medium to the lens L ₁₁ is an air, hence the refractive index thereof is 1.0. By substituting values n = 1 and n ₂ = 1.5 for the formula (16) and (17), the following is obtained: Accordingly, the front configuration of the aspherical lens L ₁₁ is expressed by this formula, and the shape of the rear surface thereof is designed so as to satisfy the condition that the exit light is not refracted at the rear surface. SIXTH EXAMPLE Referring to Fig. 26, which shows a sixth example of the optical system, that shown therein comprises a single aspherical lens L ₁₂. In this example, the front surface of the aspherical lens L ₁₂ forms a plane, and the aspherical lens L ₁₂ is made of a material having a refractive index of 1.5. The rear surface thereof is designed as follows. Since the prior medium to the refraction in the rear surface is the aspherical lens having the refraction index of 1.5, and the posterior medium thereto is an air having an index of 1.0. Thus, by substituting the values n ₁ = 1.5 and n ₂ = 1.0 for the formulae (16) and (17), the following is obtained: SEVENTH EXAMPLE Referring to Fig. 27, which shows a seventh example of the optical system, the optical system shown therein comprises three optical units L ₁₃ to L ₁₅ including three lenses. Respective lens data of the optical system is listed in Table 5 . EIGHTH EXAMPLE Referring to Fig. 29, which shows an eighth example of the optical system, the optical system shown therein comprises four optical units L ₁₆ to L ₁₉ including four lenses. Respective lens data of the optical system is listed in Table 6 . To avoid making the explanation lengthy, respective h - k characteristics and irradiance distribution of the above seventh and eighth examples are omitted here. However, it is noted that these are approximately the same as those in the first through sixth examples as mentioned above. Among the lens data in the above two examples, since an object to be exposed is the photosensitive material PM of rectangular form for use in a printed circuit board, the effective area of illumination is also rectangular, and accordingly the entrance pupil of the optical system shown in the above seventh and eighth examples is designed to be rectangular, in order to match with a specific design of the illumination system shown in this embodiment. Furthermore, in this embodiment the illumination system is designed so that the entrance pupil of the optical system OS is conjugated with the incident surface of the collimation system CS . In this embodiment, the aforementioned optical system OS is designed as a fly-eye lens structure, in which the fly-eye lens FE includes a plurality of the optical systems as mentioned above. Referring to Fig. 31, which shows a perspective view of the fly-eye lens structure. As can be understood from Fig. 31, the fly-eye lens FE comprises twenty-one optical elements OE , each of which in turn comprises the optical system OS satisfying the condition that the light received in the entrance pupil has an entrance height which is substantially proportioned to the tangent of the exit angle in the exit pupil as mentioned above. The fly-eye lens FE is designed so that respective optical axes of optical systems thereof run in parallel to each other, whereby a plurality of rays exited therefrom are impinged on the incident surface of the collimation system CS . The fly-eye lens structure is very useful for resolving the irradiance non-uniformity at the entrance pupil, which enables the incident surface of the collimation system CS to be illuminated uniformly independent of the irradiance distribution at the entrance pupil. In addition to this feature, respective optical system of the fly-eye lens provides uniform irradiation through the entire area of the incident surface of the collimation system, thus the irradiance distribution on the incident surface of the collimation system will become very uniform. In this embodiment, the illumination system is designed so that the entrance pupil of the optical system OS is conjugated with the incident surface of the collimation system CS , accordingly light passing through a predetermined common point in the entrance pupil will impinge on a predetermined common point on the incident surface of the collimation system, and consequently light emitted from the light source and received in the entrance pupil will illuminate the predetermined area of the incident surface of the collimation system, without any loss of light quantity. The above eight examples are indeed to be applicable to the illumination system according to the present invention. However, these examples are shown in a general form, respectively, and thus it is necessary to determine every element of the optical system shown in the first through sixth examples so as to be in compliance with a specific design of the illumination system, which will be apparent for a person ordinarily skilled in the art to which the present pertains. For example, the view angle relative to the optical system OS is designed as follows: That is, the diameter D at the exit pupil of the ellipsoidal mirror EM is expressed by the formula: D = 2 a · tan ω 2 where a is a distance between the exit pupil and the front surface of the optical system OS , ω is a view angle relative to the optical system. Accordingly, since the distance a is 800 mm in this embodiment, the diameter at the exit pupil of the ellipsoidal mirror EM can be easily determined. Returning back to Fig. 2, the illumination system according to the invention further comprises a reflection mirror M ₂ disposed between the optical system OS and the collimation system CS . The reflection mirror M ₂ is placed for the purpose of making the system small in size. The collimation system CS comprises a rectangular Fresnel lens having the focal length of 1670 mm and the diagonal length of 1000 x 1000 mm. The diagonal length thereof is determined depending on that of the mask film MF . In this embodiment, the mask film MF bearing desired circuit patterns thereon has a diagonal length of 1000 x 1000 mm, and accordingly the Fresnel lens having the same diagonal length is used. In this embodiment, the optical system OS is positioned so that a distance between the exit pupil of the ellipsoidal mirror EM and the entrance surface of the optical system OS is 800 mm, accordingly the secondary light source (i.e. image at the exit pupil of the ellipsoidal mirror EM ) is formed at a point within the optical system at a distance by 1 mm when using the seventh example of the optical system, and by 3 mm when using the eighth example thereof, from the exit surface thereof, and consequently the Fresnel lens CS is positioned at a distance 1670 mm, which corresponds to the focal length thereof, from the position of the secondary light source P . The configuration of the Fresnel lens is designed as follows: Referring to Fig. 32, provided that the secondary light source P is positioned on the optical axis at a distance f′ from the incident surface of the Fresnel lens CS , light emitted therefrom is impinged upon a point Q which is distant from the optical axis by a distance H . The incident angle ϑ at the point Q is expressed by the following formula (18): ϑ = tan⁻¹ (H/f′) (18) Whereas, from the Snell's law the following formula is obtained: sin ϑ = n sin ϑ′ where n is a refractive index of the medium of which the Fresnel lens is made. From this formula, the angle ϑ′ which light entered into the Fresnel lens forms relative to the optical axis is obtained as follows: In order to establish the condition that the light transmitted through a point T , which is one on the exit surface of the Fresnel lens and at the distance R from the optical axis, runs parallel to the optical axis, it is necessary that the following formula is established: n sin (90°- ϑ′ - α ) = sin (90°- α ) where α is the angle that the groove surface bearing the point T thereon forms relative to the optical axis. Resolving this formula in respect of α, the following formula (20) is obtained: Whereas, the distance R is expressed by the following formula (21): R = H + d tan ϑ′ (21) where d is the thickness of the Fresnel lens. Accordingly, the Fresnel lens which satisfying the condition that light passing through the point T of the exit surface of the Fresnel lens runs parallel to the optical axis can be obtained by using the formulae (18) through (21). Several examples of the Fresnel lens, which can be applied to the illumination system according to the invention, are shown hereafter. FIRST EXAMPLE A first example of the Fresnel lens is adaptable for incorporating into the first through third examples of the optical system OS . The lens data of the Fresnel lens is listed in Table 7 . where the distance f′ between the secondary light source P and the incident surface of the Fresnel lens is 1414 mm; the focal length is also 1414 mm; lens thickness d is 5 mm; the refractive index is 1.49; groove pitch p′ is 0.2 mm; and the effective aperture is 1000 mm in diagonal. SECOND EXAMPLE A second example of the Fresnel lens is adaptable for incorporating into the fourth example of the optical system OS . The lens data of the Fresnel lens is listed in Table 8 . where the distance f′ between the secondary light source P and the incident surface of the Fresnel lens is 2020 mm; the focal length is also 2020 mm; lens thickness d is 8 mm; the refractive index is 1.52; groove pitch p′ is 0.5 mm; and the effective aperture is 1000 mm in diagonal. THIRD EXAMPLE A third example of the Fresnel lens is adaptable for incorporating into the seventh and eighth examples of the optical system OS . The lens data of the Fresnel lens is listed in Table 9 . where the distance f′ between the secondary light source P and the incident surface of the Fresnel lens is 1670 mm; the focal length is also 1670 mm; lens thickness d is 5 mm; the refractive index is 1.49; groove pitch p′ is 0.05 mm; and the effective aperture is 1000 mm in diagonal. Referring to Figs. 28 and 30, there are respectively shown the irradiance distribution on the mask film MF when using the optical systems shown in Figs. 27 and 29, respectively. The x-axis and y-axis thereof respectively show the coordinate positions on the mask film MF , and the z-axis thereof shows the irradiance at the position corresponding to the coordinate position thereof. It will be apparent from Figs. 28 and 30 that the irradiance distribution on the mask film MF falls within the dispersion range of ±5 percent, in spite of such a wide area as 1000 x 1000 mm, which attests that the illumination system according to the invention is the most suitable for applying the well-collimated light without any irradiance reduction in the peripheral area of the mask film MF . Whereas, in the conventional illumination system heretofore the irradiance distribution on an object falls within the dispersion range of as much as ±30 percent, from which the difference between the conventional illumination systems heretofore and one according to the invention can be clearly understood. A photosensitive material PM is positioned immediately under the mask film MF , e.g. at a distance of 0.3 mm therebetween. Exposure of a desired circuit pattern is made accurately and effectively on the photosensitive material. While the invention has been illustrated and described as embodied an illumination system, it is not intended to be limited to the details shown, since various modifications and structural changes may be made without departing in any way from the present invention as defined in the claims. Without further analysis, the foregoing will so fully reveal the gist of the present invention that others can, by applying current knowledge, readily adapt it for various applications without omitting features that, from the standpoint of prior art, fairly constitute essential characteristics of the generic or specific aspects of this invention. What is claimed as new and desired to be protected by letters patent is set forth in the appended claims.

Claims: An illumination system for illuminating an object with well-collimated light, comprising in the direction of the light flow: a light source (LS) defining an optical axis between the light source and the object; a reflector (EM) positioned with respect to said light source (LS) along said optical axis to direct light from said light source along said optical axis; an optical system (OS) on said optical axis for forming an image (P) of the light received from said light source (LS) on said optical axis, said optical system comprising an entrance pupil (A) receiving the light from said light source (LS) and passing the light to an exit pupil; and collimating means (CS) on said optical axis receiving the light from the image (P) formed by said optical system (OS) for illuminating said object (PM) with well-collimated light, characterised in that, said optical system (OS) is so arranged that light entering the optical system (OS) at the entrance pupil (A) at a location with entrance height h measured with respect to said optical axis is substantially proportional to the tangent of the exit angle ϑ measured with respect to said optical axis in said exit pupil and in that said collimating means (CS) is a Fresnel lens. An illumination system set forth in claim 1, characterised in that said Fresnel lens is designed so as to satisfy formulae: where f' is the distance on the optical axis between the optical system (OS) and the incident surface of the Fresnel lens (CS); H is the distance between the optical axis and the point upon which light emitted from the optical system (OS) is impinged at an angle of incidence ϑ; n is the refractive index of the medium of said Fresnel lens (CS); ϑ' is the diffraction angle of that light entered into said Fresnel lens (CS) relative to the optical axis; α is the angle which the groove surface forms relative to the optical axis; R is the distance between the optical axis and the exit point of that light exiting the Fresnel lens (CS); and d is the thickness of said Fresnel lens (CS).

Inventors: ENDO, KENJI, KIKKAWA, ATSUSHI, NAGATA, SHINICHI
Applicants: DAINIPPON SCREEN MFG. CO., LTD.
Application year: 1987
Main classification: G03B27
IPC codes: G03F7