Patent Publication Number: US-11662464-B2

Title: Sensor and distance measuring device

Description:
CROSS-REFERENCE TO RELATED APPLICATION 
     This application is based upon and claims the benefit of priority from Japanese Patent Application No. 2019-055105, filed Mar. 22, 2019, the entire contents of which are incorporated herein by reference. 
     FIELD 
     Embodiments described herein relate generally to a sensor and a distance measuring device including a sensor. 
     BACKGROUND 
     A distance measuring device called a light detection and ranging (LIDAR) device is known. A LIDAR device radiates laser light to a target object, measures the intensity of light reflected from the target object using a sensor, and measures a distance to the target object based on a light intensity signal output from the sensor. A sensor using a silicon photomultiplier element (SiPM) is known as a sensor that can be used in LIDAR devices. 
     The sensor used in LIDAR may include an avalanche photodiode and a quench resistor. While such a sensor generally has high sensitivity, the maximum current is restricted by the quench resistor. Thus, when light of a high intensity is incident, a generated carrier may not be correspondingly emitted. If the carrier is not emitted, the sensor cannot properly function, or otherwise sensing performance may be decreased. Such a period non-usability may be significantly increased depending on the intensity of the incident light. In addition, during this period, a reverse-bias voltage of the avalanche photodiode may be significantly decreased due to a decrease in voltage caused by the quench resistor. 
     In addition, even in a case where incident light does not have a high intensity, the time period needed for the quench resistor to recover to an operative state may be relatively long. 
    
    
     
       DESCRIPTION OF THE DRAWINGS 
         FIG.  1    is a diagram illustrating a schematic overall configuration of a distance measuring device according to an embodiment. 
         FIG.  2    is a diagram illustrating a configuration and an operation principle of one SPAD. 
         FIG.  3 A  is a diagram illustrating a configuration example of one SPAD in the embodiment. 
         FIG.  3 B  is a diagram illustrating a configuration example of one SPAD in Modification Example 1. 
         FIGS.  3 C,  3 D, and  3 E  each are a diagram to explain replacement of a rectification element. 
         FIG.  4    is a diagram illustrating a configuration example of one SPAD in Modification Example 3. 
         FIG.  5 A  is a diagram illustrating a structure of an SiPM of Modification Example 4. 
         FIG.  5 B  is an enlarged view of a region C in  FIG.  5 A . 
         FIG.  6    is a diagram illustrating a structure of an SiPM of Modification Example 5. 
         FIG.  7    is a diagram illustrating an example of forming a second resistor and a transistor as a rectification element in a layer above an APD using a thin film transistor. 
         FIG.  8 A  is a diagram illustrating an example of forming a diode as a rectification element next to the APD using polysilicon. 
         FIG.  8 B  is a diagram illustrating the example of forming the diode as the rectification element next to the APD using polysilicon. 
     
    
    
     DETAILED DESCRIPTION 
     In general, according to an embodiment, a sensor includes an avalanche photodiode (APD), a first resistor, a second resistor, and a rectification element. The first resistor is between a current output terminal of the APD and a first output terminal. The second resistor and the rectification element are in series between the current output terminal and a second output terminal. The rectification element is between the second resistor and the second output terminal. 
     Hereinafter, example embodiments will be described with reference to the drawings. 
       FIG.  1    is a diagram illustrating a schematic overall configuration of a distance measuring device according to the embodiment. A distance measuring device  1  includes an emission unit  10 , an optical system  20 , a measurement processing unit  30 , and an image processing unit  40 . 
     The emission unit  10  intermittently emits laser light L 1 . The emission unit  10  includes a light source  11 , a first drive circuit  12 , an oscillator  13 , a second drive circuit  14 , and a control unit  15 . 
     The light source  11  emits the laser light L 1  as pulses. The light source  11  is a laser light source such as a laser diode. 
     The first drive circuit  12  supplies a drive current for driving the light source  11 . The first drive circuit outputs the drive current to the light source  11  depending on a pulse signal generated in the oscillator  13 . 
     The oscillator  13  generates the pulse signal under control of the control unit  15 . The oscillator  13  outputs the generated pulse signal to the first drive circuit  12 . 
     The second drive circuit  14  supplies a drive current for driving a mirror  25  of the optical system  20  to the mirror  25  under control of the control unit  15 . 
     For example, the control unit  15  includes a CPU and memory. The memory stores a program for operating the distance measuring device  1 . The CPU controls the first drive circuit  12  and the second drive circuit  14  in accordance with the program stored in the memory. 
     The optical system  20  directs the laser light L 1  emitted from the emission unit  10  to a target object O and the reflected light L 2  (which is a reflected portion of the laser light L 1 ) reflected from the target object O to be incident on the measurement processing unit  30 . The optical system  20  includes a lens  21 , a first optical element  22 , a lens  23 , a second optical element  24 , and the mirror  25 . 
     The lens  21  is disposed on an emission optical path of light emitted from the light source  11 . The lens  21  collimates the laser light L 1  emitted from the light source  11  and guides the laser light L 1  to the first optical element  22 . 
     The first optical element  22  separates the laser light L 1  guided by the lens  21  in the direction of the second optical element  24  and the direction of a photosensor  31  of the measurement processing unit  30 . For example, the first optical element  22  is a beam splitter. 
     The lens  23  condenses the laser light L 1  from the first optical element  22  and guides the laser light L 1  to the photosensor  31 . 
     The second optical element  24  transmits the laser light L 1  from the first optical element  22  in the direction of the mirror  25  and reflects the reflected light L 2  from the mirror  25  in the direction of the sensor  33  of the measurement processing unit  30 . For example, the second optical element  24  is a half mirror. 
     The mirror  25  reflects incident light. The mirror  25  is a polygon mirror having different angles of mirror surfaces. Alternatively, the mirror  25  may be a swinging mirror. For example, reflective surfaces of the mirror  25  are rotatable about two rotating shafts intersecting with each other. The mirror  25  is driven in accordance with the drive current supplied from the second drive circuit  14 . 
     The measurement processing unit  30  measures a distance to the target object O based on the reflected light L 2  emitted from the optical system  20 . The measurement processing unit  30  includes the photosensor  31 , a lens  32 , a sensor  33 , a first amplifier  34 , a second amplifier  35 , a time obtaining unit  36 , and a distance measurement processing unit  37 . 
     For example, the photosensor  31  is a photodiode and outputs an electric signal by receiving the laser light L 1  guided through the lens  23 . 
     The lens  32  condenses the reflected light L 2  from the second optical element  24  and guides the reflected light L 2  to the sensor  33 . 
     The sensor  33  generates an electric signal upon receiving the reflected light L 2  incident from the lens  32 . For example, the sensor  33  is a photomultiplier element using a semiconductor and is particularly in this example a silicon photomultiplier element (SiPM). The SiPM is a device in which avalanche photodiodes (APDs), called single-photon avalanche diodes (SPADs), are used in Geiger-mode and arranged in a multi-pixel array. Each SPAD causes avalanche breakdown in response to light incident thereon and outputs an electric signal. A plurality of SPADs may form a region (referred to as a pixel or a channel), and an output of SPADs in the region may be used in common. In this case, an electric signal corresponding to the total outputs of SPADs belonging to the region is output from the region. A configuration of the sensor  33  will be described in detail below. 
     The first amplifier  34  amplifies the electric signal output from the photosensor  31  and outputs the electric signal to the time obtaining unit  36  and the distance measurement processing unit  37 . 
     For example, the second amplifier  35  is a transimpedance amplifier and amplifies the electric signal based on the reflected light L 2 . For example, the second amplifier  35  amplifies and converts a current signal output from the sensor  33  into a voltage signal as a measurement signal. 
     The time obtaining unit  36  generates a time series signal with respect to signal intensity by performing analog-to-digital (AD) conversion on the measurement signal based on the reflected light L 2  or obtains a rise time of the measurement signal. 
     The distance measurement processing unit  37  detects a peak time of the time series signal obtained by the time obtaining unit  36  and measures the distance to the target object O based on a difference in time between this peak time and a radiation time (emission time) of the laser light L 1  or a difference in time between the rise time and the radiation time of the laser light L 1 . 
     Hereinafter, a configuration of the sensor  33  will be described.  FIG.  2    is a diagram illustrating a configuration and an operation principle of the SPAD. Each SPAD includes an APD  101  and a quench resistor  102 . The quench resistor  102  is connected to a current output terminal of the APD  101 . 
     The APD  101  in the example in  FIG.  2    includes a thick P-type semiconductor layer and a thin N-type semiconductor layer. Specifically, for example, the APD  101  includes a substrate SUB, a P-type semiconductor layer P, a P-plus-type semiconductor layer P + , and an N-plus-type semiconductor layer N. For example, the substrate SUB is a P-type semiconductor substrate. The P-type semiconductor layer P is stacked on the substrate SUB. The P-type semiconductor layer P is a thin P-type semiconductor layer having a lower impurity concentration than the P-plus-type semiconductor layer P. The P-type semiconductor layer P may be thin epitaxial layer, for example. The P-plus-type semiconductor layer P +  is a semiconductor layer in which a P-type impurity has a higher impurity concentration than the P-type semiconductor layer P. The N-plus-type semiconductor layer N +  is a semiconductor layer of a high electron concentration in which an N-type impurity is introduced. Electrodes, not specifically illustrated, are formed in the N-plus-type semiconductor layer N. A high reverse-bias voltage is applied to the APD  101  through the electrodes in a direction in which the substrate side is negative. 
     As illustrated in  FIG.  2   , a depletion layer D is formed near a junction region between the P-type semiconductor layer and the N-type semiconductor layer. When light is incident on the depletion layer D, an electron-positive hole pair as a carrier C L  is generated in the depletion layer D. 
     Since a high reverse-bias voltage is applied to the APD  101 , the carrier C L  generated in the depletion layer D drifts due to an electric field E caused by the reverse-bias voltage. In the example in  FIG.  2   , in the carrier C L , the electron is accelerated in the direction of the surface (N-plus-type semiconductor layer N + ), and the positive hole is accelerated in the direction of the substrate. The electron accelerated toward the N-plus-type semiconductor layer N +  collides with an atom under a strong electric field near the PN junction. The electron colliding with the atom ionizes the atom and generates a new electron-positive hole pair. When the reverse-bias voltage exceeds a breakdown voltage, the generation of the electron-positive hole pair is repeated. Such avalanche breakdown discharges the APD  101 . Such discharge is called Geiger discharge. In such a manner, an electric signal related to the Geiger discharge and subsequent recovery is output from one SPAD. 
     A current output from the APD  101  flows into the quench resistor  102 . At this point, the bias voltage is decreased due to a decrease in voltage. When the bias voltage is decreased and becomes less than the breakdown voltage, the Geiger phenomenon stops. Furthermore, when a flow of recovery current charging a capacitance such as a junction capacitance of the APD  101  ends, the current output stops. When the Geiger phenomenon stops and the current output is reduced to a certain extent, the APD  101  returns to a state where subsequent light can be received. 
     The APD  101  is not limited to the structure in  FIG.  2   . For example, the P-plus-type semiconductor layer P +  may not be provided in all examples. In addition, while the APD in  FIG.  2    has a structure including a thick P-type semiconductor layer and a thin N-type semiconductor layer, the APD may conversely have a structure including a thick N-type semiconductor layer and a thin P-type semiconductor layer. Furthermore, the PN junction may not be near the surface as depicted in  FIG.  2   . The PN junction may be formed around a boundary between the substrate SUB and a layer formed thereon, such as P-type semiconductor layer P. 
       FIG.  3 A  is a diagram illustrating a configuration example of one SPAD in the embodiment. As illustrated in  FIG.  3 A , one SPAD in the embodiment includes the APD, a first quench resistor Rq, a second resistor Rst, and a diode D as a rectification element. 
     In  FIG.  3 A , the APD is forwardly connected to a power supply, and a reverse-bias voltage Vsub is applied to the APD from the power supply, not illustrated, disposed in the substrate SUB. One end of the first quench resistor Rq is connected to a cathode of the APD. Another end of the first quench resistor Rq is connected to an output terminal Out 1  of the sensor  33 . The output terminal Out 1  is connected to the second amplifier  35 . When SPADs are arranged in a multi-pixel form, the SPADs may form a group. At this point, the first quench resistor Rq of the SPAD belonging to a certain group is connected to the first quench resistor Rq of another SPAD belonging to the same group at a connection point A illustrated in  FIG.  3 A . Accordingly, an electric signal corresponding to the total of the outputs of the SPADs belonging to the group is output to the second amplifier  35  from the output terminal Out 1 . 
     The second resistor Rst is connected in parallel with the first quench resistor Rq. A resistance value of the second resistor Rst is lower than a resistance value of the first quench resistor Rq. For example, the resistance value of the first quench resistor Rq is 250 kΩ, and the resistance value of the second resistor Rst is 2 kΩ. 
     The diode D is a rectification element forwardly connected to the second resistor Rst. That is, a cathode of the diode D as a current output terminal is connected to an output terminal Out 2  of the sensor  33 . When the SPADs are arranged in a multi-pixel form, the cathode of the diode D of the SPAD is connected to the cathode of another diode D at a connection point B illustrated in  FIG.  3 A . Accordingly, an electric signal corresponding to the total of the output of each diode D is output to the ground from the output terminal Out 2 . The diode D may be a Zener diode or an avalanche photodiode (which is different from the above-described APD). 
     In the configuration illustrated in  FIG.  3 A , when light is incident on the APD, the APD causes avalanche breakdown and outputs a current signal. The current signal from the APD flows into the first quench resistor Rq. Since the second resistor and the diode D are connected in parallel with the first quench resistor, a voltage generated in the first quench resistor due to the current signal flowing into the first quench resistor Rq from the APD is applied to the second resistor and the diode D. 
     When the voltage applied to the diode D exceeds a breakdown voltage of the diode D, a current flows into the diode D. Since the resistance value of the second resistor Rst is lower than the resistance value of the first quench resistor Rq, the current flowing into the diode D is higher than the current flowing into the first quench resistor Rq. 
     A quantity of electricity I generated per unit time when light is incident on the APD is represented by Expression 1 below.
 
 I=Np×PDE×G×e   (Expression 1)
 
In Expression 1, Np denotes the number of photons absorbed in the APD. The detection efficiency of the APD is denoted by PDE. The gain (amplification rate) of the APD is denoted by G. The elementary charge is denoted by e. When the intensity of light incident on the APD is increased, the number Np of photons absorbed in the APD is increased. Accordingly, the quantity of electricity I is also increased based on Expression 1.
 
     When the current flowing into the quench resistor is denoted by Iq, the carrier generated in the APD is discharged in a case where I−Iq is equal to zero or is small enough to be regarded as zero. In this case, subsequent detection by the APD can be performed. However, when I−Iq is equal to a significantly high, the carrier generated in the APD remains for a long time before dissipation. While the carrier remains, the output of the APD continues. Thus, during such a period, a subsequent detection event cannot be performed by the APD. 
     In the embodiment, the second resistor Rst and the diode D are connected in parallel with the first quench resistor Rq. Accordingly, even when a high intensity of light is incident on the APD, the carrier generated in the APD is discharged in a relatively short time. 
     Modification Example 1 
     Modification Example 1 will be described. In  FIG.  3 A , the APD is forwardly connected to the power supply, and the reverse-bias voltage Vsub is applied to the APD from the power supply. However, as illustrated in  FIG.  3 B , the APD may be reversely connected to the power supply. In this case, the diode D may be reversely connected to the second resistor Rst. That is, the APD and the diode D may be connected in the same direction. Accordingly, when the APD is reversely connected to the power supply, the diode D is reversely connected to the second resistor Rst. In addition, when the APD is forwardly connected to the power supply, the diode D is forwardly connected to the second resistor Rst. 
     In addition,  FIG.  3 A  illustrates the diode D as a rectification element connected in parallel with the first quench resistor Rq. However, the rectification element is not limited to a diode. As illustrated in  FIG.  3 C , the diode D may be a Zener diode ZD. For example, when the power supply voltage Vsub is −30 V, the breakdown voltage is 25 V (as typically represented as a positive number), the voltage of the output terminal Out 1  is approximately 0 V, and an overvoltage operating the SPAD is 0 to −5 V (represented as 0 to 5 V without a minus sign), a Zener diode ZD having a breakdown voltage of 5 V or higher is used. In this case, when a decrease in voltage caused by light exceeds the breakdown voltage, a current flows into the Zener diode ZD, and the accumulated carrier is discharged. Alternatively, the diode D may be an avalanche photodiode. The second resistor Rst restricts the current flowing into the Zener diode ZD (and the voltage applied between both ends of the Zener diode ZD) and prevents breakage of the Zener diode ZD. In addition, the second resistor Rst reduces the effect of a parasitic capacitance of the Zener diode ZD on the characteristics of the SPAD at the time of a typical operation. 
     Modification Example 2 
       FIG.  3 D  illustrates a circuit configuration in a case where the diode D is reversed. For example, when the power supply voltage Vsub is −30 V, the breakdown voltage is 25 V (as typically represented as a positive number), the voltage of the output terminal Out 1  is approximately 0 V, and the overvoltage operating the SPAD is 0 to −5 V (represented as 0 to 5 V without a minus sign), a specific voltage lower than or equal to −(5 V+threshold voltage of diode D) is applied to the output terminal Out 2 . In this case, when a decrease in voltage caused by light exceeds the applied voltage, a current flows into the diode D, and the accumulated carrier is discharged. 
     In  FIG.  3 E , the diode of  FIG.  3 D  is replaced with a P-type MOS transistor Tr. For example, when the power supply voltage Vsub is −30 V, the breakdown voltage is 25 V (as typically represented as a positive number), the voltage of the output terminal Out 1  is approximately 0 V, and the overvoltage operating the SPAD is 0 to −5 V (represented as 0 to 5 V without a minus sign), a specific voltage lower than or equal to −(5 V+threshold voltage of transistor) is applied to the output terminal Out 2 . In this case, when a decrease in voltage caused by light exceeds the applied voltage, a current flows into the transistor Tr, and the accumulated carrier is discharged. By using the high speed, high current capacity transistor Tr, the carrier can be discharged in a small amount of time. 
     When the diode D is replaced with a transistor Tr, the direction of the parasitic diode of the transistor Tr may be in reverse to the direction of the diode D. That is, in a case where the transistor Tr is a P-channel MOS transistor, a drain of the transistor Tr is connected to the second resistor Rst, and a source of the transistor Tr is connected to the output terminal Out 2 . 
     While  FIG.  3 C  to  FIG.  3 E  illustrate circuit configurations in a case where the APD has the structure in  FIG.  2    and  FIG.  3 E  illustrates a circuit configuration in a case where the APD is a P-channel MOS transistor, the structure of the APD is not limited to those cases as described above. In addition, an N-channel MOS transistor may be used instead of the P-channel MOS transistor. 
     Modification Example 3 
     Modification Example 3 will be described. In the above embodiment and the example illustrated in Modification Example 1, the breakdown phenomenon of the rectification element is used for promoting the discharge of the carrier from the APD. However, for example, as illustrated in  FIG.  4   , the same effect can be achieved by forwardly connecting a plurality of diodes D 1 , D 2  . . . D 3  to the second resistor Rst. That is, by forwardly connecting a plurality of diodes, a forward threshold voltage can be increased. By increasing the forward threshold voltage, a current does not flow at a low voltage, and a high current flows when a high voltage is applied as in the case of reversely connecting the diode. Accordingly, Modification Example 3 achieves the same effect as the above embodiment and Modification Example 1. Furthermore, when the APD is forwardly connected to the power supply, the plurality of diodes D 1 , D 2  . . . D 3  may be reversely connected to the second resistor Rst. 
     Modification Example 4 
     Modification Example 4 will be described.  FIG.  5 A  is a diagram illustrating a structure of an SiPM of Modification Example 4.  FIG.  5 B  illustrates an enlarged view of a region C in  FIG.  5 A . It is noted that while  FIG.  5 B  is an enlarged view of the region C, other SPADs also include the second resistor Rst having the same connection structure as  FIG.  5 B . As described above, the SiPM is formed by arranging the SPADs in a multi-pixel form. For example, as illustrated in  FIG.  5 A , the SiPM includes a sensor region in which the SPAD including the APD and the first quench resistor Rq is 2-dimensionally arranged. In order to draw out wiring, for example, the sensor region in the example in  FIG.  5 A  is divided into two regions in the left-right direction of the page. For example, the left-right direction is the horizontal direction when the sensor  33  is mounted in the distance measuring device  1 . 
     In the right half region of the sensor region, wiring to the SPAD is drawn out toward the right end of the sensor region. More specifically, the first quench resistor Rq connected to the APD is arranged in a separation region that is the boundary of the SPAD in the left-right direction. The separation region is a region disposed between the SPADs in order not to propagate the carrier present in one of the adjacent SPADs to the other. The separation region may be light-shielded. The first quench resistor Rq in the SPAD of each row in the right half of the sensor region is connected to one horizontal wiring drawn out through a separation region that is the boundary of the SPAD in the up-down direction. The horizontal wiring of each row is connected to one vertical wiring at the right end of the sensor region. The vertical wiring is connected to the output terminal Out 1 . 
     Similarly, in the left half region of the sensor region, wiring of the SPAD is drawn out toward the left end of the sensor region. More specifically, the first quench resistor Rq connected to the APD is arranged in a separation region that is the boundary of the SPAD in the left-right direction. The first quench resistor Rq in the SPAD of each row in the left half of the sensor region is connected to one horizontal wiring drawn out through a separation region that is the boundary of the SPAD in the up-down direction. The horizontal wiring of each row is connected to one vertical wiring at the left end of the sensor region. The vertical wiring is connected to another output terminal Out 1 . 
     In Modification Example 4, as illustrated in  FIG.  5 B , the second resistor Rst and the rectification element (for example, the diode D) are connected to the first quench resistor Rq. In a case where the second resistor Rst and the rectification element are disposed in the sensor region, the opening ratio of the SPAD, that is, the light reception area of the APD, is decreased. 
     In Modification Example 4, the rectification element (for example, the diode D) is disposed at the end of the sensor region. In the example in  FIG.  5 A , the diode D of the SPAD in the right half region of the sensor region is collectively arranged at the right end of the sensor region. The diode D of the SPAD in the left half region of the sensor region is collectively arranged at the left end of the sensor region. Each diode D disposed at the right end of the sensor region is connected in common to the output terminal Out 2  by wiring that is drawn out through the separation region. Similarly, each diode D disposed at the left end of the sensor region is connected in common to another output terminal Out 2  by wiring that is drawn out through the separation region. 
     In Modification Example 4, by collectively disposing the rectification elements at the end of the sensor region, a decrease in opening ratio of each SPAD is reduced. Since a higher reverse-bias voltage than the power supply voltage of a typical circuit is applied to the APD, it is necessary to use a deep well or the like in order to provide insulation between the APD and a typical circuit, and the APD and the other circuit typically have to be separated away from each other. Accordingly, in a case where the rectification element is disposed in the sensor region unlike Modification Example 4, a large separation region is necessary, and the opening ratio is therefore decreased. In addition, connection wirings must be drawn out through the separation region. 
     While the sensor region is divided into two regions in the left-right direction in  FIG.  5 A , the sensor region is not limited to  FIG.  5 A . The sensor region may be divided into two regions in the up-down direction. In this case, the diode D may be separately disposed at the upper end and the lower end of the sensor region. 
     Modification Example 5 
     Modification Example 5 will be described.  FIG.  6    is a diagram illustrating a structure of an SiPM of Modification Example 5. A case where the rectification element cannot be collectively arranged at the edge of the sensor region may occur due to a constraint or the like in the manufacturing of the SiPM. In this case, as illustrated in  FIG.  6   , the diode D may be collectively arranged in a partial region of the sensor region in which the SPAD is to be disposed. In other words, the SPAD may be disposed in the sensor region excepting a region in which the diodes D are collectively arranged. Furthermore, while the diodes D are concentrated at one location in  FIG.  6   , the diodes D may be separately collected at two or more locations. 
     It is desirable to separate the elements of the APD and the diode D from each other using, for example, a well We or a trench structure. Such separation is for electrically separating the APD to which a high reverse-bias voltage is applied and the diode D from each other. 
     Modification Example 6 
     Modification Example 6 will be described. The rectification element for promoting the discharge of the carrier from the APD may be formed in a layer above the APD.  FIG.  7    is a diagram illustrating an example of the second resistor Rst and the transistor Tr formed as the rectification element in a layer above the APD using a thin film transistor. For example, a P-type semiconductor layer  202  is formed in a substrate  201 . A P-plus-type semiconductor layer  203  and an N-plus-type semiconductor layer  204  are stacked in the P-type semiconductor layer  202 . In addition, two electrodes  205   a  and  205   b  are formed in the N-plus-type semiconductor layer  204 . The electrode  205   a  is connected to the power supply. The electrode  205   b  is connected to an electrode  210   b  of the transistor Tr constituting the second resistor Rst. The APD is formed by the P-type semiconductor layer  202 , the P-plus-type semiconductor layer  203 , the N-plus-type semiconductor layer  204 , and the electrodes  205   a  and  205   b.    
     The surrounding area of the electrodes  205   a  and  205   b  is flattened by an insulating layer  206 . An insulating layer  207  is stacked on the insulating layer  206 . A semiconductor layer  208  formed of, for example, InGaZnO is formed in the insulating layer  207 . The semiconductor layer  208  is connected to electrodes  210   a  and  210   b  of the transistor formed through an insulating layer  209 . The electrode  210   a  is, for example, a source electrode of the transistor. The electrode  210   b  is, for example, a drain electrode. The second resistor is formed by the semiconductor layer  208  and the electrodes  210   a  and  210   b.    
     In addition, another semiconductor layer  211  formed of, for example, InGaZnO is formed in the insulating layer  207 . The semiconductor layer  211  is connected to electrodes  212   a  and  212   b  of the transistor through the insulating layer  209 . The electrode  212   a  is, for example, a source electrode of the transistor. The electrode  212   b  is, for example, a drain electrode. In addition, while illustration is not provided, the electrode  210   a  and the electrode  212   a  are connected to each other. The transistor Tr as the rectification element is formed by the semiconductor layer  211  and the electrodes  212   a  and  212   b.    
     An insulating layer  213  as a protective layer is formed on the electrodes  210   a ,  210   b ,  212   a , and  212   b.    
     As illustrated in  FIG.  7   , by forming the second resistor Rst and the transistor Tr in the same layer, the second resistor Rst and the transistor Tr may be formed in the same step. 
     In addition, the rectification element for promoting the discharge of the carrier from the APD may be formed separately from the APD.  FIG.  8 A  and  FIG.  8 B  are diagrams illustrating an example of forming the diode D as the rectification element next to the APD using polysilicon. As illustrated in  FIG.  8 A , the diode D is connected to the APD through wiring W. For example, the diode D includes a junction between a polysilicon layer Pp in which a P-type impurity is introduced and a polysilicon layer Pn in which an N-type impurity is introduced. As illustrated in FIG.  8 B, the elements of the APD and the diode D are separated from each other by a local oxidation of silicon (LOCOS) layer. In  FIG.  8 B , it is noted that PDN denotes an N-plus-type semiconductor layer constituting the APD, PDP denotes a P-plus-type semiconductor layer constituting the APD, and 1P −  denotes a diffusion layer. 
     In Modification Example 6, it is not necessary to form the rectification element or the like in the sensor region. Thus, the opening ratio of each SPAD is not reduced. 
     While certain embodiments have been described, these embodiments have been presented by way of example only, and are not intended to limit the scope of the inventions. Indeed, the novel embodiments described herein may be embodied in a variety of other forms; furthermore, various omissions, substitutions and changes in the form of the embodiments described herein may be made without departing from the spirit of the inventions. The accompanying claims and their equivalents are intended to cover such forms or modifications as would fall within the scope and spirit of the inventions.