CN107941352A - A kind of room temperature black matrix spoke luminance parameter calibrating installation and measuring method - Google Patents
A kind of room temperature black matrix spoke luminance parameter calibrating installation and measuring method Download PDFInfo
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- G—PHYSICS
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- G01J—MEASUREMENT OF INTENSITY, VELOCITY, SPECTRAL CONTENT, POLARISATION, PHASE OR PULSE CHARACTERISTICS OF INFRARED, VISIBLE OR ULTRAVIOLET LIGHT; COLORIMETRY; RADIATION PYROMETRY
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Abstract
The present invention provides a kind of room temperature black matrix spoke luminance parameter calibrating installation and the bright temperature measurement method of room temperature black matrix spoke, wherein device to be made of first device and second device, and the first device includes：Laser, the light splitting piece for the laser of laser to be divided into two-way, the optical wavelengthmeter for measuring optical maser wavelength, laser power stability device, spatial filter, infrared integrating sphere, displacement guide rail, low temperature radiometer and infrared spoke brightness detector；The second device is infrared detector relative spectral response calibrating installation.The wavelength of infrared spoke luminance parameter calibration selects the common 3.39 mum wavelength point of medium-wave infrared, LONG WAVE INFRARED selects the common 10.6 mum wavelength point of long wave, chain of tracing to the source is used as by infrared spoke brightness detector, the spoke luminance parameter of room temperature black matrix is traceable on low temperature radiometer, the spoke brightness uncertainty of room temperature black matrix is improved into a nearly magnitude.
Description
Technical field
The invention belongs to room temperature black matrix spoke luminance parameter technical field, more particularly to a kind of room temperature black matrix spoke brightness to join
Number calibrating installation and the bright temperature measurement method of room temperature black matrix spoke.
Background technology
Since the conventional method of room temperature blackbody radiation temperature measurement is directly to be measured using multiple contact platinum resistance temperatures
Actual emanations temperature of the temperature of blackbody chamber as black matrix is measured, but due to blackbody chamber actual transmission rate, temperature gradient, Temperature Distribution
The factors such as the defects of uniformity and contact type temperature measuring cause to exist between blackbody chamber measurement temperature and actual emanations temperature
Many errors, this certainly will bring some errors to the calibration accuracy of black matrix.
At present, the calibration of the domestic spoke brightness to infrared band, mainly using standard black body radiation source method.Standard is black
The core of body radiation source method research is the radiation temperature and effective emissivity of accurate measuring basis black matrix, public by planck radiation
Formula, is calculated the spoke luminance parameter of measurand.This kind of method is presently the most universal method, wherein external NPL,
, there be domestic Chinese science metering institute, Anbui Optical Machinery Inst., Chinese Academy of Sciences, the long spring scenery of the Chinese Academy of Sciences in PTB, NIST laboratory
Machine all uses the research of the method progress spoke luminance parameter calibration.Although as metal freezing point black matrix technology and infrared test
The development of technology, the radiation temperature and emissivity of black matrix realize the measurement of high accuracy；However, the effective emissivity of black matrix with
The many factors such as its operation wavelength, temperature, structure, coating are related, and the accumulation of usage time and the change of use environment all may
Lasting change is brought to emissivity parameter, this is an important factor for influencing black matrix and infrared system radiation parameter calibration precision.
Therefore do not possess the maturation condition of laboratory measurement black body emissivity in interior most countries including China.Due to metal freezing
Point black matrix is normally used as benchmark black matrix, and the radiation temperature of common working stamndard black matrix is surveyed by platinum resistance thermometer
Amount, since platinum resistance thermometer measurement obtains temperature, usually there are certain difference, difference generally to exist with the radiation temperature of black matrix
More than 0.2K, with the rise of black matrix operating temperature, difference can reach more than 6K.Therefore, using standard black body radiation source method, nothing
Method meets the requirement of high precision radiation brightness.
Therefore, the prior art is defective, it is necessary to improve.
The content of the invention
The present invention provides a kind of infrared spoke brightness calibration method based on standard detector, infrared spoke brightness is traceable to low
On warm radiometer, to solve black matrix spoke brightness high-acruracy survey and calibration problem.
Technical scheme is as follows：A kind of room temperature black matrix spoke luminance parameter calibrating installation, it is characterised in that by first
Device and second device are formed, and the first device includes：Laser, the light splitting for the laser of laser to be divided into two-way
Piece, the optical wavelengthmeter for measuring optical maser wavelength, laser power stability device, spatial filter, infrared integrating sphere, displacement guide rail,
Low temperature radiometer and infrared spoke brightness detector；Wherein laser power stability device, spatial filter, infrared integrating sphere, displacement are led
Rail, low temperature radiometer, infrared spoke brightness detector are in heat-insulated darkroom；He-Ne lasers and CO is respectively adopted in laser2Swash
Light device, the laser that it is exported measure the actual wavelength of laser, another way warp by optical wavelengthmeter all the way after light splitting piece is divided
Enter low temperature radiometer after the beam shaping of laser power stability controller and spatial filter, low temperature radiometer accurately measure into
The power for penetrating laser is responding power, and infrared spoke brightness detector then is moved into main optical path, records infrared spoke brightness at this time
The response voltage of detector, the absolute spectrum of infrared spoke brightness detector is obtained by the defined formula of absolute spectral response rate
Responsiveness, realizes the measurement of the absolute spectral response rate of the infrared spoke brightness detector of 3.39 μm and 10.6 μm two wavelength points；
The second device is infrared detector relative spectral response calibrating installation, passes through infrared detector relative spectral response calibration cartridge
The Relative spectral responsivity for putting the infrared spoke brightness detector to being taken out from first device measures.
It is a kind of to carry out the bright temperature measurement method of room temperature black matrix spoke using above-mentioned room temperature black matrix spoke luminance parameter calibrating installation, its
It is characterized in that, He-Ne lasers and CO is respectively adopted in laser2Laser, the laser that it is exported is after light splitting piece is divided, all the way
The actual wavelength of laser is measured by optical wavelengthmeter；
Another way is through entering low temperature radiometer, low temperature after the beam shaping of laser power stability controller and spatial filter
The power that radiometer accurately measures incident laser is responding power, and infrared spoke brightness detector then is moved into main optical path, note
The response voltage of infrared spoke brightness detector at this time under record, then obtains infrared spoke by the defined formula of absolute spectral response rate
The absolute spectral response rate of brightness detector, that is, realize the infrared spoke brightness detector of 3.39 μm and 10.6 μm two wavelength points
Absolute spectral response rate measurement；
Then the light relatively by infrared detector relative spectral response calibrating installation to the infrared spoke brightness detector
Spectrum responsiveness measures, with reference to the absolute light of the above-mentioned infrared spoke brightness detector in 3.39 μm and 10.6 μm two wavelength points
Responsiveness is composed, then the infrared spoke brightness under 3.39 μm, 10.6 μm, 3 μm -4 μm and 10 μm -11 mum wavelengths is obtained by formula operation
The spoke luminosity response degree of detector measurement；
When black matrix is set as a certain temperature, black matrix and infrared spoke brightness detector are arranged in heat-insulated darkroom, use is red
Outer spoke brightness detector directly measures, and obtains the actual measurement spoke brightness of black matrix, then derive formula by planck formula
(1)、(2)：
In formula：The bright temperature of spoke of T------ black matrixes；
The spoke brightness of L------ black matrixes；
λi------3.39μm、10.6μm；
c1、c2--- --- first, second radiates constant, c1=(3.741832 ± 0.000020) × 10-16W·m2, c2=
(1.438786±0.000045)×10-2m·K；
The spectral emissivity of ε (λ, T) --- --- black matrix, is approximately equal to 1；
λ1、λ2--- --- wave-length coverage is respectively 3 μm -4 μm, 10 μm -11 μm；
And the bright temperature of spoke that room temperature black matrix is calculated.
On the basis of above-mentioned technical proposal, the defined formula of absolute spectral response rate is formula (3)：
Wherein, V is response voltage, and φ is the radiation flux i.e. responding power for inciding detector, and radiation flux directly traces back
Source is to low temperature radiometer.
On the basis of above-mentioned technical proposal, the infrared detector relative spectral response calibrating installation is bright to the infrared spoke
After the Relative spectral responsivity of degree detector measures, the infrared spoke brightness of 3.39 μm and 10.6 μm two wavelength points is incorporated in
The absolute spectral response rate of detector, by equation below computing：
The standard spoke luminosity response degree R of infrared spoke brightness detectorLFormula is formula (4)：
Wherein, V is response voltage, and L is light source spoke brightness.
The radiation flux φ that infrared spoke brightness detector receives is formula (5)：
φ=L × A × Ω (5)
Wherein, it is L light source spoke brightness；A is visual field area, i.e., is effectively regarded by what aperture diaphragm and field stop determined jointly
Field determines；Ω is formula (6), formula (7) to the solid angle at object plane center by aperture diaphragm
A=π × (D × tan θV)2 (6)
Wherein, 2 θVFor the angle of field angle, i.e. field stop edge and aperture diaphragm center, tan θV=c/H, so, it is red
The radiation flux φ that outer spoke brightness detector receives is formula (8)：
So standard spoke luminosity response degree R of infrared spoke brightness detectorLIt is expressed as, formula (9)：
The standard spoke luminosity response degree R of infrared spoke brightness detector is derived using above formulaL, wherein, absolute spectrum is rung
Should rate RφLow temperature radiometer directly is traceable to, measures geometrical structure parameter aperture diaphragm radius a and field stop θV, the two
Value is definite value, obtains the standard spoke luminosity response degree R of infrared spoke brightness detectorL；
Recycling formula (4) draws light source spoke brightness.
The present invention provides a kind of room temperature black matrix spoke luminance parameter calibration method and device, it is proposed that a kind of new room temperature black matrix
The calibration method of spoke luminance parameter, mainly by laser, optical wavelengthmeter, laser power stability system, infrared spoke brightness detector,
Low temperature radiometer etc. forms.The wavelength of infrared spoke luminance parameter calibration selects the common 3.39 mum wavelength point of medium-wave infrared, long wave
The infrared common 10.6 mum wavelength point of selection long wave, is used as chain of tracing to the source, by the spoke of room temperature black matrix by infrared spoke brightness detector
Luminance parameter is traceable on low temperature radiometer, and the spoke brightness uncertainty of room temperature black matrix is improved a nearly magnitude.
Brief description of the drawings
Fig. 1 is the structure diagram of the present invention.
Fig. 2 is the schematic diagram of infrared spoke brightness detector in the present invention.
Fig. 3 is the schematic diagram of infrared detector relative spectral response calibrating installation in the present invention.
Embodiment
Below in conjunction with the drawings and specific embodiments, the present invention is described in detail.A kind of as shown in Figure 1, room temperature black matrix
Spoke luminance parameter calibrating installation, it is characterised in that be made of first device and second device, the first device includes：Laser
Device 21, the light splitting piece 22 for the laser of laser to be divided into two-way, the optical wavelengthmeter 23 for measuring optical maser wavelength, laser work(
Rate stabilizer 24, spatial filter 25, infrared integrating sphere 31, displacement guide rail 29, low temperature radiometer 26 and infrared spoke intensity detection
Device 27；Wherein laser power stability device 24, spatial filter 25, infrared integrating sphere, displacement guide rail, low temperature radiometer, infrared spoke
Brightness detector is in heat-insulated darkroom 30；He-Ne lasers and CO is respectively adopted in laser2Laser, its laser exported
After light splitting piece is divided, the actual wavelength of laser is measured by optical wavelengthmeter all the way, another way is controlled through laser power stability
Enter low temperature radiometer after the beam shaping of device and spatial filter, low temperature radiometer accurately measures the power of incident laser, i.e.,
Responding power, then moves into main optical path by infrared spoke brightness detector, records the response of infrared spoke brightness detector at this time
Voltage, the absolute spectral response rate of infrared spoke brightness detector can be obtained by the defined formula of absolute spectral response rate, i.e.,
Realize the measurement of the absolute spectral response rate of the infrared spoke brightness detector of 3.39 μm and 10.6 μm two wavelength points；Described
Two devices are infrared detector relative spectral response calibrating installation, by infrared detector relative spectral response calibrating installation to red
The Relative spectral responsivity of outer spoke brightness detector 27 measures.
As shown in Figure 3, it is pointed out that infrared detector relative spectral response calibrating installation is the prior art, its is specific
Principle and structure and require visible People's Republic of China's national measurement technical specification JJF 1150-2006：Photodetector
Relative spectral response calibrating standard, therefore be not described in detail.
As depicted in figs. 1 and 2, a kind of bright temperature measurement method of room temperature black matrix spoke, it is characterised in that：Laser is respectively adopted
He-Ne lasers and CO2Laser, the laser that it is exported measure laser by optical wavelengthmeter all the way after light splitting piece is divided
Actual wavelength；
Another way is through entering low temperature radiometer, low temperature after the beam shaping of laser power stability controller and spatial filter
Radiometer accurately measures the power of incident laser, i.e. responding power, and infrared spoke brightness detector then is moved into main optical path, note
The response voltage of infrared spoke brightness detector at this time under record, then can be obtained red by the defined formula of absolute spectral response rate
The absolute spectral response rate of outer spoke brightness detector, that is, the infrared spoke brightness for realizing 3.39 μm and 10.6 μm two wavelength points are visited
Survey the measurement of the absolute spectral response rate of device；
Then the light relatively by infrared detector relative spectral response calibrating installation to the infrared spoke brightness detector
Spectrum responsiveness measures, with reference to the absolute light of the above-mentioned infrared spoke brightness detector in 3.39 μm and 10.6 μm two wavelength points
Responsiveness is composed, the infrared spoke brightness under 3.39 μm, 10.6 μm, 3 μm -4 μm and 10 μm -11 mum wavelengths is can obtain by formula operation
The spoke luminosity response degree of detector；
When black matrix 28 is set as a certain temperature, black matrix 28 and infrared spoke brightness detector 27 are arranged in heat-insulated darkroom,
Directly measured using infrared spoke brightness detector, obtain the actual measurement spoke brightness of black matrix, then can derive by planck formula
Go out formula (1), formula (2),
In formula：The bright temperature of spoke of T------ black matrixes；
The spoke brightness of L------ black matrixes；
λi------3.39μm、10.6μm；
c1、c2--- --- first, second radiates constant, c1=(3.741832 ± 0.000020) × 10-16W·m2, c2=
(1.438786±0.000045)×10-2m·K；
The spectral emissivity of ε (λ, T) --- --- black matrix, is approximately equal to 1；
λ1、λ2--- --- wave-length coverage is respectively 3 μm -4 μm, 10 μm -11 μm；
And the bright temperature of spoke that room temperature black matrix is calculated.
Wherein, the defined formula of absolute spectral response rate is formula (3)：
Wherein, V is response voltage, and φ is the radiation flux i.e. responding power for inciding detector, and radiation flux can be straight
Connect and be traceable to low temperature radiometer.
Preferably, the infrared detector relative spectral response calibrating installation is to the opposite of the infrared spoke brightness detector
After spectral responsivity measures, with reference to the exhausted of the above-mentioned infrared spoke brightness detector in 3.39 μm and 10.6 μm two wavelength points
To spectral responsivity, by equation below computing：
The standard spoke luminosity response degree R of infrared spoke brightness detectorLFormula is formula (4)：
Wherein, V is response voltage, and L is light source spoke brightness.
The radiation flux φ that infrared spoke brightness detector receives is formula (5)：
φ=L × A × Ω (5)
As shown in Fig. 2, it is L light source spoke brightness wherein；A is visual field area, i.e., jointly true by aperture diaphragm and field stop
Fixed effective viewing field determines；Solid angles of the Ω by aperture diaphragm to object plane center, is formula (6) and formula (7)
A=π × (D × tan θV)2 (6)
Wherein, 2 θVFor the angle of field angle, i.e. field stop edge and aperture diaphragm center, tan θV=c/H, so, it is red
The radiation flux φ that outer spoke brightness detector receives is formula (8)：
So standard spoke luminosity response degree R of infrared spoke brightness detectorLIt can be expressed as, formula (9)：
The standard spoke luminosity response degree R of infrared spoke brightness detector is derived using above formulaL, wherein, absolute spectrum is rung
Should rate RφLow temperature radiometer directly is traceable to, measures geometrical structure parameter aperture diaphragm radius a and field stop θV, the two
Value is definite value, it is possible to obtains the standard spoke luminosity response degree R of infrared spoke brightness detectorL；
Recycling formula (4) draws light source spoke brightness.
The present invention provides a kind of calibrating installation of room temperature black matrix spoke luminance parameter, it should be appreciated that common to this area
For technical staff, it can according to the above description be improved or be converted, and all these modifications and variations should all belong to this hair
The protection domain of bright appended claims.
Claims (4)
- A kind of 1. room temperature black matrix spoke luminance parameter calibrating installation, it is characterised in that it is made of first device and second device, it is described First device includes：Laser, the light splitting piece for the laser of laser to be divided into two-way, the light wave for measuring optical maser wavelength Long meter, laser power stability device, spatial filter, infrared integrating sphere, displacement guide rail, low temperature radiometer and infrared spoke intensity detection Device；Wherein laser power stability device, spatial filter, infrared integrating sphere, displacement guide rail, low temperature radiometer, infrared spoke brightness are visited Device is surveyed in heat-insulated darkroom；He-Ne lasers and CO is respectively adopted in laser2Laser, the laser that it is exported is through light splitting piece After light splitting, the actual wavelength of laser is measured by optical wavelengthmeter all the way, another way is through laser power stability controller and space Entering low temperature radiometer after the beam shaping of wave filter, the power that low temperature radiometer accurately measures incident laser is responding power, Then infrared spoke brightness detector is moved into main optical path, records the response voltage of infrared spoke brightness detector at this time, pass through The defined formula of absolute spectral response rate obtains the absolute spectral response rate of infrared spoke brightness detector, realizes 3.39 μm and 10.6 The measurement of the absolute spectral response rate of the infrared spoke brightness detector of μm two wavelength points；The second device is infrared detector Relative spectral response calibrating installation, it is red to what is taken out from first device by infrared detector relative spectral response calibrating installation The Relative spectral responsivity of outer spoke brightness detector measures.
- 2. a kind of carry out the bright temperature survey of room temperature black matrix spoke using room temperature black matrix spoke luminance parameter calibrating installation as claimed in claim 1 Amount method, it is characterised in that He-Ne lasers and CO is respectively adopted in laser2Laser, its laser exported is through light splitting piece point After light, the actual wavelength of laser is measured by optical wavelengthmeter all the way；Another way is through entering low temperature radiometer, low-temp radiating after the beam shaping of laser power stability controller and spatial filter The power that meter accurately measures incident laser is responding power, and infrared spoke brightness detector then is moved into main optical path, is recorded The response voltage of infrared spoke brightness detector at this time, then obtains infrared spoke brightness by the defined formula of absolute spectral response rate The absolute spectral response rate of detector, that is, realize 3.39 μm and 10.6 μm two wavelength points infrared spoke brightness detector it is exhausted Measurement to spectral responsivity；Then the relative spectral of the infrared spoke brightness detector is rung by infrared detector relative spectral response calibrating installation Should rate measure, with reference to the above-mentioned infrared spoke brightness detector in 3.39 μm and 10.6 μm two wavelength points absolute spectrum ring Should rate, then the infrared spoke intensity detection under 3.39 μm, 10.6 μm, 3 μm -4 μm and 10 μm -11 mum wavelengths is obtained by formula operation The spoke luminosity response degree of device measurement；When black matrix is set as a certain temperature, black matrix and infrared spoke brightness detector are arranged in heat-insulated darkroom, using infrared spoke Brightness detector directly measures, and obtains the actual measurement spoke brightness of black matrix, then by planck formula derive formula (1), (2)：<mrow> <mi>L</mi> <mo>=</mo> <mi>&epsiv;</mi> <mrow> <mo>(</mo> <mi>&lambda;</mi> <mo>,</mo> <mi>T</mi> <mo>)</mo> </mrow> <mfrac> <msub> <mi>c</mi> <mn>1</mn> </msub> <mrow> <msup> <msub> <mi>&pi;&lambda;</mi> <mi>i</mi> </msub> <mn>5</mn> </msup> <mrow> <mo>(</mo> <msup> <mi>e</mi> <mrow> <mo>(</mo> <mfrac> <msub> <mi>c</mi> <mn>2</mn> </msub> <mrow> <msub> <mi>&lambda;</mi> <mi>i</mi> </msub> <mi>T</mi> </mrow> </mfrac> <mo>)</mo> </mrow> </msup> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow><mrow> <mi>L</mi> <mo>=</mo> <msubsup> <mo>&Integral;</mo> <msub> <mi>&lambda;</mi> <mn>1</mn> </msub> <msub> <mi>&lambda;</mi> <mn>2</mn> </msub> </msubsup> <mi>&epsiv;</mi> <mrow> <mo>(</mo> <mi>&lambda;</mi> <mo>,</mo> <mi>T</mi> <mo>)</mo> </mrow> <mfrac> <msub> <mi>c</mi> <mn>1</mn> </msub> <mrow> <msup> <mi>&pi;&lambda;</mi> <mn>5</mn> </msup> <mrow> <mo>(</mo> <msup> <mi>e</mi> <mrow> <mo>(</mo> <mfrac> <msub> <mi>c</mi> <mn>2</mn> </msub> <mrow> <mi>&lambda;</mi> <mi>T</mi> </mrow> </mfrac> <mo>)</mo> </mrow> </msup> <mo>-</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow> </mfrac> <mi>d</mi> <mi>&lambda;</mi> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>2</mn> <mo>)</mo> </mrow> </mrow>In formula：The bright temperature of spoke of T------ black matrixes；The spoke brightness of L------ black matrixes；λi------3.39μm、10.6μm；c1、c2--- --- first, second radiates constant, c1=(3.741832 ± 0.000020) × 10-16W·m2, c2= (1.438786±0.000045)×10-2m·K；The spectral emissivity of ε (λ, T) --- --- black matrix, is approximately equal to 1；λ1、λ2--- --- wave-length coverage is respectively 3 μm -4 μm, 10 μm -11 μm；And the bright temperature of spoke that room temperature black matrix is calculated.
- 3. the bright temperature measurement method of room temperature black matrix spoke as claimed in claim 2, it is characterised in that：The definition of absolute spectral response rate is public Formula is formula (3)：<mrow> <msub> <mi>R</mi> <mi>&phi;</mi> </msub> <mo>=</mo> <mfrac> <mi>V</mi> <mi>&phi;</mi> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>3</mn> <mo>)</mo> </mrow> </mrow>Wherein, V is response voltage, and φ is the radiation flux i.e. responding power for inciding detector, and radiation flux is directly traceable to Low temperature radiometer.
- 4. the bright temperature measurement method of room temperature black matrix spoke as claimed in claim 3, it is characterised in that：The infrared detector relative spectral After response calibration device measures the Relative spectral responsivity of the infrared spoke brightness detector, be incorporated in 3.39 μm and The absolute spectral response rate of the infrared spoke brightness detector of 10.6 μm of two wavelength points, by equation below computing：The standard spoke luminosity response degree R of infrared spoke brightness detectorLFormula is formula (4)：<mrow> <msub> <mi>R</mi> <mi>L</mi> </msub> <mo>=</mo> <mfrac> <mi>V</mi> <mi>L</mi> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>4</mn> <mo>)</mo> </mrow> </mrow>Wherein, V is response voltage, and L is light source spoke brightness.The radiation flux φ that infrared spoke brightness detector receives is formula (5)：φ=L × A × Ω (5)Wherein, it is L light source spoke brightness；A is visual field area, i.e., the effective viewing field determined jointly by aperture diaphragm and field stop determines It is fixed；Ω is formula (6), formula (7) to the solid angle at object plane center by aperture diaphragmA=π × (D × tan θV)2 (6)<mrow> <mi>&Omega;</mi> <mo>=</mo> <mfrac> <mrow> <mi>&pi;</mi> <mo>&times;</mo> <msup> <mi>a</mi> <mn>2</mn> </msup> </mrow> <msup> <mi>D</mi> <mn>2</mn> </msup> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>7</mn> <mo>)</mo> </mrow> </mrow>Wherein, 2 θVFor the angle of field angle, i.e. field stop edge and aperture diaphragm center, tan θV=c/H, so, infrared spoke The radiation flux φ that brightness detector receives is formula (8)：<mrow> <mi>&phi;</mi> <mo>=</mo> <mi>L</mi> <mo>&times;</mo> <mi>&pi;</mi> <mo>&times;</mo> <msup> <mrow> <mo>(</mo> <mi>D</mi> <mo>&times;</mo> <msub> <mi>tan&theta;</mi> <mi>V</mi> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>&times;</mo> <mfrac> <mrow> <mi>&pi;</mi> <mo>&times;</mo> <msup> <mi>a</mi> <mn>2</mn> </msup> </mrow> <msup> <mi>D</mi> <mn>2</mn> </msup> </mfrac> <mo>=</mo> <mi>L</mi> <mo>&times;</mo> <mfrac> <mrow> <msup> <mi>&pi;</mi> <mn>2</mn> </msup> <msup> <mi>a</mi> <mn>2</mn> </msup> <msup> <mi>c</mi> <mn>2</mn> </msup> </mrow> <msup> <mi>H</mi> <mn>2</mn> </msup> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>8</mn> <mo>)</mo> </mrow> </mrow>So standard spoke luminosity response degree R of infrared spoke brightness detectorLIt is expressed as, formula (9)：<mrow> <msub> <mi>R</mi> <mi>L</mi> </msub> <mo>=</mo> <msub> <mi>R</mi> <mi>&phi;</mi> </msub> <mo>&times;</mo> <mfrac> <mrow> <msup> <mi>&pi;</mi> <mn>2</mn> </msup> <msup> <mi>a</mi> <mn>2</mn> </msup> <msup> <mi>c</mi> <mn>2</mn> </msup> </mrow> <msup> <mi>H</mi> <mn>2</mn> </msup> </mfrac> <mo>=</mo> <msub> <mi>R</mi> <mi>&phi;</mi> </msub> <mo>&times;</mo> <msup> <mi>&pi;</mi> <mn>2</mn> </msup> <msup> <mi>a</mi> <mn>2</mn> </msup> <msup> <mrow> <mo>(</mo> <msub> <mi>tan&theta;</mi> <mi>V</mi> </msub> <mo>)</mo> </mrow> <mn>2</mn> </msup> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>9</mn> <mo>)</mo> </mrow> </mrow>The standard spoke luminosity response degree R of infrared spoke brightness detector is derived using above formulaL, wherein, absolute spectral response rate Rφ Low temperature radiometer directly is traceable to, measures geometrical structure parameter aperture diaphragm radius a and field stop θV, the two values are fixed Value, obtains the standard spoke luminosity response degree R of infrared spoke brightness detectorL；Recycling formula (4) draws light source spoke brightness.
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