CN1270387C - Photo-electric conversion balance correcting method of four-zones of photosensitive surface for four-quadrant photo-electric detector - Google Patents

Abstract

The present invention discloses a photoelectric conversion balance correcting method of four zones of the photosensitive surface for a quadrant photoelectric detector. The method analyzes the synthesis of output signals of the quadrant photoelectric detector to find out the relationship of photoelectric conversion coefficients and the output signals of the detector, list the simultaneous equations of the four zones of the photosensitive surface of the detector and the output signals of the detector, and obtain the photoelectric conversion coefficients of the four zones of the photosensitive surface of the detector by solving the simultaneous equations. Thus, the photoelectric conversion coefficients are normalized, and the photo-electric conversion relationships of the four zones of the photosensitive surface of the quadrant photoelectric detector can be uniformity corrected in a balance mode without carrying out the gain adjustment of the hardware for four channels of the four zones of the photosensitive surface. Thus, the foundation for the accurate detection of the quadrant photoelectric detector is provided.

Description

The opto-electronic conversion method for correcting balance in four districts of four-quadrant photo detector photosurface

One, technical field

The present invention relates to the photodetection field, be particularly related to the foundation of the equation group of the photoelectric conversion factors in four districts of four-quadrant photo detector photosurface and detector output signal, and in the method and the application thereof of the photoelectric conversion factors balance correction in four districts of four-quadrant photo detector photosurface.

Two, background technology

The consistency of the opto-electronic conversion in four districts of four-quadrant photo detector photosurface is that four-quadrant photo detector is realized the accurately precondition of detection, if the photoelectric conversion factors in four districts of photosurface itself is uneven consistent, be difficult to then judge that detector output signal is detected signal and causes, still photoelectric conversion factors causes, unless each zone in four zones of detector is demarcated separately.Present bearing calibration is to observe four regional output signals of detector by oscilloscope or Other Instruments, compensate the imbalance of detector photosurface photoelectric conversion factors by four signal of telecommunication output channel gains separately regulating detector, finally realize the consistency of four passage opto-electronic conversion.This just not only requires to provide four area light of detector according to evenly necessary, and requires the gain circuitry of four passages promptly adjustable, again must be stable.

Three, summary of the invention

The object of the invention is to propose the opto-electronic conversion method for correcting balance in four districts of a kind of four-quadrant photo detector photosurface, adopt the present invention can proofread and correct the balance that four photosensitive areas of four-quadrant photo detector photosurface opto-electronic conversion relation reaches the balance unanimity, for the accurate detection of four-quadrant photo detector lays the foundation.

The opto-electronic conversion method for correcting balance in four districts of four-quadrant photo detector photosurface of the present invention is to analyze by the synthetic of output signal to four-quadrant photo detector, find out the relation of photoelectric conversion factors and detector output signal, listed about the photoelectric conversion factors in four districts of detector photosurface and the equation group of detector output signal, tried to achieve the photoelectric conversion factors in four districts of detector photosurface by the solving equation group.With four road photoelectric conversion factors normalization, thereby realize the opto-electronic conversion consistency in four districts of four-quadrant photo detector photosurface, i.e. balance correction.

To achieve these goals, the technical solution used in the present invention is, the opto-electronic conversion method for correcting balance in four districts of four-quadrant photo detector photosurface is characterized in that: set up the photoelectric conversion factors p that asks for four area I of four-quadrant photo detector photosurface, II, III, IV _I, p _II, p _IIIAnd p _IVExpression formula, with four output signal u of photosurface _I, u _II, u _III, u _IVAfter the normalization, the output signal u of synthetic detector _x, u _y

Definition four-quadrant photo detector output signal is:

u _x＝(u _I+u _IV)-(u _II+u _III) (1)

u _y＝(u _I+u _II)-(u _III+u _IV) (2)

U wherein _I, u _II, u _III, u _IVBe respectively the output voltage signal in four districts of four-quadrant photo detector photosurface;

The photoelectric conversion factors of four photosensitive areas of a four-quadrant photo detector photosurface whether sign of balance unanimity is to move by side to opposite side, u from one of photosurface y (x) axle fully when hot spot _xWhether amplitude equates opposite in sign to signal;

1), sets up equation group and try to achieve photoelectric conversion factors and find the solution general formula

Order

u _I＝p _IS _I (3) S _II+S _III＝S (12)

u _II＝p _IIS _II (4) p _IS _I′+p _IIS _II′＝Q ₁′ (13)

u _III＝p _IIIS _III (5) p _IS _I′-p _IIS _II′＝R ₁′ (14)

u _IV＝p _IVS _IV (6) S _I′+S _II′＝S (15)

p _IS _I+p _IVS _IV＝Q ₁ (7) p _IIIS _III′+p _IVS _IV′＝Q ₂′?(16)

p _IS _I-p _IVS _IV＝R ₁ (8) p _IVS _IV′-p _IIIS _III′＝R ₂′?(17)

S _I+S _IV＝S (9) S _III′+S _IV′＝S (18)

p _IIS _II+p _IIIS _III＝Q ₂ (10)

p _IIS _II-p _IIIS _III＝R ₂ (11)

S wherein _I, S _II, S _IIIAnd S _IVBe respectively 0 ° of area that I, II, III and IV quadrant hot spot are installed and return the area of converting on the detector convex lens, Q along light path ₁, R ₁Be respectively 0 ° of composite signal u that detector output signal is installed _xAnd u _yMagnitude of voltage, S is that whole hot spot returns the area of converting on the detector convex lens along light path; S _I', S _II', S _III', S _IV' being respectively 90 ° when installing, hot spot is displaced to I, II quadrant fully, and when being displaced to III, IV quadrant fully, hot spot returns the illuminating area of converting on the finder lens, R at the area of all quadrants along light path ₁', R ₂', Q ₁', Q ₂' be respectively corresponding u _x, u _yThe voltage of signals value.In the formula of (7)～(18), Q ₁, Q ₂, R ₁, R ₂, Q ₁', Q ₂', R ₁', R ₂' and S be known quantity, p _I～p _IV, S _I～S _IV, S _I`～S <sub>IV</sub>` is a unknown quantity; The group of solving an equation (7)～(18):

$p_I=\frac{A^{\&prime;}\mathrm{AD}{D}^{\&prime;}-B{B}^{\&prime;}{C}^{\&prime;}C}{{\mathrm{BC}}^{\&prime;}{A}^{\&prime;}S-A^{\&prime;}\mathrm{BDS}+A^{\&prime;}{D}^{\&prime;}\mathrm{DS}-{\mathrm{BC}}^{\&prime;}\mathrm{CS}}---\left(19\right)$

$p_{\mathrm{II}}=\frac{p_I{A}^{\&prime;}}{p_{I}S-B^{\&prime;}}---\left(20\right)$

$p_{\mathrm{III}}=\frac{p_{\mathrm{II}}D}{P_{\mathrm{II}}S-C}---\left(21\right)$

$p_{\mathrm{IV}}=\frac{p_{I}B}{P_{I}S-A}---\left(22\right)$

Wherein $A=\frac{Q_1+R_1}{2},B=\frac{Q_1-R_1}{2},C=\frac{Q_2+R_2}{2},D=\frac{Q_2-R_2}{2},A^{\&prime;}=\frac{{{\mathrm{<figure-callout\; id="1"\; label="Q"\; filenames="C0213956200121.png,C0213956200131.png"\; state="\{\{state\}\}">Q</figure-callout>}}_1}^{\&prime;}+{{\mathrm{<figure-callout\; id="1"\; label="R"\; filenames="C0213956200121.png,C0213956200131.png"\; state="\{\{state\}\}">R</figure-callout>}}_1}^{\&prime;}}{2},$

$B^{\&prime;}=\frac{{Q_I}^{\&prime;}-{R_I}^{\&prime;}}{2},C^{\&prime;}=\frac{{{\mathrm{<figure-callout\; id="2"\; label="Q"\; filenames="C0213956200131.png"\; state="\{\{state\}\}">Q</figure-callout>}}_2}^{\&prime;}+{{\mathrm{<figure-callout\; id="2"\; label="R"\; filenames="C0213956200131.png"\; state="\{\{state\}\}">R</figure-callout>}}_2}^{\&prime;}}{2},D=\frac{{{\mathrm{<figure-callout\; id="2"\; label="Q"\; filenames="C0213956200131.png"\; state="\{\{state\}\}">Q</figure-callout>}}_2}^{\&prime;}-{{\mathrm{<figure-callout\; id="2"\; label="R"\; filenames="C0213956200131.png"\; state="\{\{state\}\}">R</figure-callout>}}_2}^{\&prime;}}{2};$ Q ₁With R ₁, Q ₂With R ₂Be respectively 0 ° the hot spot composite signal u of detector output signal when detector photosurface y axle one side fully is installed _xAnd u _yMagnitude of voltage, R ₁', R ₂', Q ₁', Q ₂' be 90 ° of hot spots when installing composite signal u of detector output signal when detector photosurface y axle one side fully _xAnd u _yMagnitude of voltage;

2), u after the photoelectric conversion factors correction balance _xAnd u _yExpression formula

The output signal of given four-quadrant photo detector, by 1) in photoelectric conversion factors find the solution general formula and obtain each photosensitive area photoelectric conversion factors, and carry out normalization, soon the output signal in four districts of four-quadrant photo detector photosurface is divided by its corresponding photoelectric conversion factors; According to (1) formula and (2) formula each photosensitive area output signal of detector is synthesized u then _x, u _ySignal:

u _x＝(u _I/p _I+u _IV/p _IV)-(u _II/p _II+u _III/p _III) (23)

u _y＝(u _I/p _I+u _II/p _II)-(u _III/p _III+u _IV/P _IV) (24)

U wherein _I, u _II, u _III, u _IVBe respectively the output signal in four districts of four-quadrant photo detector photosurface, p _I, p _II, p _IIIAnd p _IVBe respectively the photoelectric conversion factors in four districts of four-quadrant photo detector photosurface, can try to achieve by formula (19)～(22).

Described voltage signal u with four zones of photosurface _I, u _II, u _III, u _IVThe output signal u of synthetic detector after the normalization _x, u _yNormalized u _x, u _yExpression formula is:

$\left\{\begin{array}{c}{u}_x=f(\frac{u_I}{p_I},\frac{u_{\mathrm{II}}}{p_I},\frac{u_{\mathrm{III}}}{p_{\mathrm{III}}},\frac{u_{\mathrm{IV}}}{p_{\mathrm{IV}}})\\ u_y=g(\frac{u_I}{p_I},\frac{u_{\mathrm{II}}}{p_{\mathrm{II}}},\frac{u_{\mathrm{III}}}{p_{\mathrm{III}}},\frac{u_{\mathrm{IV}}}{p_{\mathrm{IV}}})\end{array}\right.$

Wherein the synthesis mode of signal can be:

$\left\{\begin{array}{c}{u}_x=(\frac{u_I}{p_I}+\frac{u_{\mathrm{IV}}}{p_{\mathrm{IV}}})-(\frac{u_{\mathrm{II}}}{p_{\mathrm{II}}}+\frac{u_{\mathrm{III}}}{p_{\mathrm{III}}})\\ u_y=(\frac{u_I}{p_I}+\frac{u_{\mathrm{II}}}{p_{\mathrm{II}}})-(\frac{u_{\mathrm{III}}}{p_{\mathrm{III}}}-\frac{u_{\mathrm{IV}}}{p_{\mathrm{IV}}})\end{array}\right.$

Or $\left\{\begin{array}{c}{u}_x=(\frac{u_{\mathrm{II}}}{p_{\mathrm{II}}}+\frac{u_{\mathrm{III}}}{P_{\mathrm{III}}})-(\frac{u_I}{p_I}+\frac{u_{\mathrm{IV}}}{p_{\mathrm{IV}}})\\ u_y=(\frac{u_{\mathrm{III}}}{p_{\mathrm{III}}}+\frac{u_{\mathrm{IV}}}{p_{\mathrm{IV}}})-(\frac{u_I}{p_I}+\frac{u_{\mathrm{II}}}{p_{\mathrm{II}}})\end{array}\right.$

Can also be other combining form, poor as diagonal sum, or the phase multiplication and division etc.

The present invention analyzes by the synthetic of output signal to four-quadrant photo detector, find out the relation of photoelectric conversion factors and detector output signal, listed about the photoelectric conversion factors in four districts of detector photosurface and the equation group of detector output signal, obtained the photoelectric conversion factors in four districts of detector photosurface by the solving equation group.With each photoelectric conversion factors normalization, need not four passages in four districts of photosurface are carried out the hardware gain-adjusted, can realize the opto-electronic conversion relationship consistency sexual balance correction in four districts of four-quadrant photo detector photosurface, for the accurate detection of four-quadrant photo detector is laid a good foundation.

Four, description of drawings

Fig. 1 is the detector index path;

Fig. 2 is a hot spot trajectory diagram on the detector photosurface, the spot tracks figure when the spot tracks figure when wherein figure (a) is 0 ° of installation, figure (b) are 90 ° of installations;

Fig. 3 is the output signal diagram of given four-quadrant photo detector; Wherein figure (a) is former detector output signal figure, and figure (b) is the correction waveform figure when 0 degree is installed among Fig. 3 (a), and figure (c) is for corresponding to the correction waveform figure that revolves among Fig. 3 (a) after turning 90 degrees.

Five, embodiment

The present invention is described in further detail below in conjunction with specific embodiment that accompanying drawing and inventor provide.

Present embodiment definition four-quadrant photo detector output signal is:

u _x＝(u _I+u _IV)-(u _II+u _III) (1)

u _y＝(u _I+u _II)-(u _III+u _IV?) (2)

U wherein _I, u _II, u _III, u _IVBe respectively the output voltage signal in four districts of four-quadrant photo detector photosurface (as accompanying drawing 2).

The photoelectric conversion factors of four photosensitive areas of a four-quadrant photo detector photosurface whether sign of balance unanimity is to move by side to opposite side, u from one of photosurface y (x) axle fully when hot spot _xWhether amplitude equates opposite in sign to signal.

1, sets up equation group and try to achieve photoelectric conversion factors and find the solution general formula order

u _I＝p _IS _I (3) S _I′+S _II′＝S (15)

u _II＝p _IIS _II (4) p _IIIS _III′+p _IVS _IV′＝Q ₂′(16)

u _III＝p _IIS _II (5) p _IVS _IV′-p _IIIS _III′＝R ₂′(17)

u _IV＝p _IVS _IV (6) S _III′+S _IV′＝S (18)

p _IS _I+p _IVS _IV＝Q _I (7)

p _IS _I-p _IVS _IV＝R ₁ (8)

S _I+S _IV＝S (9)

p _IIS _II+p _IIIS _III＝Q ₂ (10)

p _IIS _II-p _IIIS _III＝R ₂ (11)

S _II+S _III＝S (12)

p _IS _I′+p _IIS _II′＝Q ₁′(13)

p _IS _I′-p _IIS _II′＝R ₁′(14)

S wherein _I, S _II, S _IIIAnd S _IVBe respectively 0 ° of area that I, II, III and IV quadrant hot spot are installed and return the area of converting on the detector convex lens, Q along light path ₁, R ₁Be respectively 0 ° of composite signal u that detector output signal is installed _xAnd u _yMagnitude of voltage, S is that whole hot spot returns the area of converting on the detector convex lens along light path; S _I', S _II', S _III', S _IV' being respectively 90 ° when installing, hot spot is displaced to I, II quadrant fully, and when being displaced to III, IV quadrant fully, hot spot returns the illuminating area of converting on the finder lens, R at the area of all quadrants along light path ₁', R ₂', Q ₁', Q ₂' be respectively corresponding u _x, u _yThe voltage of signals value.In the formula of (7)～(18), Q ₁, Q ₂, R ₁, R ₂, Q ₁', Q ₂', R ₁', R ₂' and S be known quantity, p _I～p _IV, S _I～S _IV, S _I`～S <sub>IV</sub>` is a unknown quantity.The group of solving an equation (7)～(18):

$p_I=\frac{A^{\&prime;}\mathrm{AD}{D}^{\&prime;}-{\mathrm{BB}}^{\&prime;}{C}^{\&prime;}C}{{\mathrm{BC}}^{\&prime;}{A}^{\&prime;}S-A^{\&prime;}\mathrm{BDS}+A^{\&prime;}{D}^{\&prime;}\mathrm{DS}-{\mathrm{BC}}^{\&prime;}\mathrm{CS}}---\left(19\right)$

$p_{\mathrm{II}}=\frac{p_I{A}^{\&prime;}}{p_{I}S-B^{\&prime;}}---\left(20\right)$

$p_{\mathrm{III}}=\frac{p_{\mathrm{II}}D}{P_{\mathrm{II}}S-C}---\left(21\right)$

$p_{\mathrm{IV}}=\frac{p_{I}B}{P_{I}S-A}---\left(22\right)$

Wherein $A=\frac{{\mathrm{<figure-callout\; id="1"\; label="Q"\; filenames="C0213956200121.png,C0213956200131.png"\; state="\{\{state\}\}">Q</figure-callout>}}_1+{\mathrm{<figure-callout\; id="1"\; label="R"\; filenames="C0213956200121.png,C0213956200131.png"\; state="\{\{state\}\}">R</figure-callout>}}_1}{2},B=\frac{Q_1-{\mathrm{<figure-callout\; id="1"\; label="R"\; filenames="C0213956200121.png,C0213956200131.png"\; state="\{\{state\}\}">R</figure-callout>}}_1}{2},C=\frac{{\mathrm{<figure-callout\; id="2"\; label="Q"\; filenames="C0213956200131.png"\; state="\{\{state\}\}">Q</figure-callout>}}_2+{\mathrm{<figure-callout\; id="2"\; label="R"\; filenames="C0213956200131.png"\; state="\{\{state\}\}">R</figure-callout>}}_2}{2},D=\frac{Q_2-{\mathrm{<figure-callout\; id="2"\; label="R"\; filenames="C0213956200131.png"\; state="\{\{state\}\}">R</figure-callout>}}_2}{2},A^{\&prime;}=\frac{{{\mathrm{<figure-callout\; id="1"\; label="Q"\; filenames="C0213956200121.png,C0213956200131.png"\; state="\{\{state\}\}">Q</figure-callout>}}_1}^{\&prime;}+{{\mathrm{<figure-callout\; id="1"\; label="R"\; filenames="C0213956200121.png,C0213956200131.png"\; state="\{\{state\}\}">R</figure-callout>}}_1}^{\&prime;}}{2},$

$B^{\&prime;}=\frac{{Q_I}^{\&prime;}-{R_I}^{\&prime;}}{2},C^{\&prime;}=\frac{{{\mathrm{<figure-callout\; id="2"\; label="Q"\; filenames="C0213956200131.png"\; state="\{\{state\}\}">Q</figure-callout>}}_2}^{\&prime;}+{{\mathrm{<figure-callout\; id="2"\; label="R"\; filenames="C0213956200131.png"\; state="\{\{state\}\}">R</figure-callout>}}_2}^{\&prime;}}{2},D^{\&prime;}=\frac{{{\mathrm{<figure-callout\; id="2"\; label="Q"\; filenames="C0213956200131.png"\; state="\{\{state\}\}">Q</figure-callout>}}_2}^{\&prime;}-{{\mathrm{<figure-callout\; id="2"\; label="R"\; filenames="C0213956200131.png"\; state="\{\{state\}\}">R</figure-callout>}}_2}^{\&prime;}}{2}.$

2, u after the photoelectric conversion factors correction balance _xAnd u _yExpression formula

The output signal of given four-quadrant photo detector (as accompanying drawing 3 (a)), by 1) in photoelectric conversion factors find the solution general formula and obtain each photosensitive area photoelectric conversion factors, and carry out normalization, soon the output signal in four districts of four-quadrant photo detector photosurface is divided by its corresponding photoelectric conversion factors.According to (1) formula and (2) formula each photosensitive area output signal of detector is synthesized u then _x, u _ySignal

u _x＝(u _I/p _I+u _IV/p _IV)-(u _II/p _II+u _III/p _III) (23)

u _y＝(u _I/p _I+u _II/p _II)-(u _III/p _III+u _IV/p _IV) (24)

U wherein _I, u _II, u _III, u _IVBe respectively the output signal in four districts of four-quadrant photo detector photosurface, p _I, p _II, p _IIIAnd p _IVBe respectively the photoelectric conversion factors in four districts of four-quadrant photo detector photosurface, can try to achieve by formula (19)～(22).

Draw (23), (24) formula about u _x, u _yWith the curve of β, obtain as accompanying drawing 3 (b), (c) waveform.Wherein (c) its essence is the u when 90 degree are installed for revolving the waveform after turning 90 degrees _xWaveform is 0 u that spends when installing roughly the same _yWaveform, and the u of 90 degree when installing _yU when then being analogous to 0 degree installation _xWaveform.

Claims (2)

1. the opto-electronic conversion method for correcting balance in four districts of a four-quadrant photo detector photosurface is characterized in that: set up the photoelectric conversion factors p that asks for four area I of four-quadrant photo detector photosurface, II, III, IV _I, p _II, p _IIIAnd p _IVExpression formula, with four output signal u of photosurface _I, u _II, u _III, u _IVAfter the normalization, the output signal u of synthetic detector _x, u _y

Definition four-quadrant photo detector output signal is:

u _x＝(u _I+u _IV)-(u _II+u _III) (1)

u _y＝(u _I+u _II)-(u _III+u _IV) (2)

U wherein _I, u _II, u _III, u _IVBe respectively the output voltage signal in four districts of four-quadrant photo detector photosurface;

The photoelectric conversion factors of four photosensitive areas of a four-quadrant photo detector photosurface whether sign of balance unanimity is to move by side to opposite side, u from one of photosurface y (x) axle fully when hot spot _xWhether amplitude equates opposite in sign to signal;

1), sets up equation group and try to achieve photoelectric conversion factors and find the solution general formula order

u _I＝p _IS _I

(3) p _IIS _II-p _IIIS _III＝R ₂ (11)

u _II＝p _IIS _II (4) s _II+s _III＝s (12)

u _III＝p _IIIS _III (5) p _IS _I′+p _IIS _II′＝Q ₁′ (13)

u _IV＝p _IVS _IV (6) p _IS _I′-p _IIS _II′＝R ₁′ (14)

p _IS _I+p _IVS _IV＝Q ₁ (7) S _I′+S _II′＝S (15)

p _IS _I-p _IVS _IV＝R ₁

(8) p _IIIS _III′+p _IVS _IV′＝Q ₂′ (16)

S _I+S _IV＝S (9) p _IVS _IV′-p _IIIS _III′＝R ₂′ (17)

p _IIS _II+p _IIIS _III＝Q ₂ (10) S _III′+S _IV′＝S (18)

S wherein _I, S _II, S _IIIAnd S _IVBe respectively 0 ° of area that I, II, III and IV quadrant hot spot are installed and return the area of converting on the detector convex lens, Q along light path ₁, R ₁Be respectively 0 ° of composite signal u that detector output signal is installed _xAnd u _yMagnitude of voltage, S is that whole hot spot returns the area of converting on the detector convex lens along light path; S _I', S _II', S _III', S _IV' being respectively 90 ° when installing, hot spot is displaced to I, II quadrant fully, and when being displaced to III, IV quadrant fully, hot spot returns the illuminating area of converting on the finder lens, R at the area of all quadrants along light path ₁', R ₂', Q ₁', Q ₂' be respectively corresponding u _x, u _yThe voltage of signals value, in the formula of (7)～(18), Q ₁, Q ₂, R ₁, R ₂, Q ₁', Q ₂', R ₁', R ₂' and S be known quantity, p _I～p _IV, S _I～S _IV, S _I`～S <sub>IV</sub>` is a unknown quantity; The group of solving an equation (7)～(18):

$p_I=\frac{A^{\&prime;}\mathrm{AD}{D}^{\&prime;}-B{B}^{\&prime;}{C}^{\&prime;}C}{B{C}^{\&prime;}{A}^{\&prime;}S-A^{\&prime;}\mathrm{BDS}+A^{\&prime;}{D}^{\&prime;}\mathrm{DS}-B{C}^{\&prime;}\mathrm{CS}}---\left(19\right)$

$p_{\mathrm{II}}=\frac{p_I{A}^{\&prime;}}{p_{I}S-B^{\&prime;}}---\left(20\right)$

$p_{\mathrm{III}}=\frac{p_{\mathrm{II}}D}{p_{\mathrm{II}}S-C}---\left(21\right)$

$p_{\mathrm{IV}}=\frac{p_{I}B}{P_{I}S-A}---\left(22\right)$

Wherein $A=\frac{Q_1+R_1}{2},B=\frac{Q_1-R_1}{2},C=\frac{Q_2+R_2}{2},D=\frac{Q_2-R_2}{2},A^{\&prime;}=\frac{{Q_1}^{\&prime;}+{R_1}^{\&prime;}}{2},$ $B^{\&prime;}=\frac{{Q_1}^{\&prime;}-{R_1}^{\&prime;}}{2},B^{\&prime;}=\frac{{Q_2}^{\&prime;}+{R_2}^{\&prime;}}{2},B^{\&prime;}=\frac{{Q_2}^{\&prime;}-{R_2}^{\&prime;}}{2};$ Q ₁With R ₁, Q ₂With R ₂Be respectively 0 ° the hot spot composite signal u of detector output signal when detector photosurface y axle one side fully is installed _xAnd u _yMagnitude of voltage, R ₁', R ₂', Q ₁', Q ₂' be 90 ° of hot spots when installing composite signal u of detector output signal when detector photosurface y axle one side fully _xAnd u _yMagnitude of voltage;

2), u after the photoelectric conversion factors correction balance _xAnd u _yExpression formula

The output signal of given four-quadrant photo detector, by 1) in photoelectric conversion factors find the solution general formula and obtain each photosensitive area photoelectric conversion factors, and carry out normalization, soon the output signal in four districts of four-quadrant photo detector photosurface is divided by its corresponding photoelectric conversion factors; According to (1) formula and (2) formula each photosensitive area output signal of detector is synthesized u then _x, u _ySignal

u _x＝(u _I/p _I+u _IV/p _IV)-(u _II/p _II+u _III/p _III) (23)

u _y＝(u _I/p _I+u _II/p _II)-(u _III/p _III+u _IV/p _IV) (24)

U wherein _I, u _II, u _III, u _IVBe respectively the output signal in four districts of four-quadrant photo detector photosurface, p ₁, p _II, p _IIIAnd p _IVBe respectively the photoelectric conversion factors in four districts of four-quadrant photo detector photosurface, can try to achieve by formula (19)～(22).

2, the opto-electronic conversion method for correcting balance in four districts of four-quadrant photo detector photosurface according to claim 1 is characterized in that, with the voltage signal u in four zones of photosurface _I, u _II, u _III, u _IVThe output signal u of synthetic detector after the normalization _x, u _y, normalized u _x, u _yExpression formula is:

$\left\{\begin{array}{c}{u}_x=f(u_I/p_I,u_{\mathrm{II}}/p_{\mathrm{II}},u_{\mathrm{III}}/p_{\mathrm{III}},u_{\mathrm{IV}}/p_{\mathrm{IV}})\\ u_y=g(u_I/p_I,u_{\mathrm{II}}/p_{\mathrm{II}},u_{\mathrm{III}}/p_{\mathrm{III}},u_{\mathrm{IV}}/p_{\mathrm{IV}})\end{array}\right.$

Wherein the synthesis mode of signal can be:

$\left\{\begin{array}{c}{u}_x=(u_I/p_I+u_{\mathrm{IV}}/p_{\mathrm{IV}})-(u_{\mathrm{II}}/p_{\mathrm{II}}+u_{\mathrm{III}}/p_{\mathrm{III}})\\ u_y=(u_I/p_I+u_{\mathrm{II}}/p_{\mathrm{II}})-(u_{\mathrm{III}}/p_{\mathrm{III}}+u_{\mathrm{IV}}/p_{\mathrm{IV}})\end{array}\right.$

Or $\left\{\begin{array}{c}{u}_x=(u_{\mathrm{II}}/p_{\mathrm{II}}+u_{\mathrm{III}}/p_{\mathrm{III}})-(u_I/p_I+u_{\mathrm{IV}}/p_{\mathrm{IV}})\\ u_y=(u_{\mathrm{III}}/p_{\mathrm{III}}+u_{\mathrm{IV}}/p_{\mathrm{IV}})-(u_I/p_I+u_{\mathrm{II}}/p_{\mathrm{II}})\end{array}\right..$

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