KS B ISO 15529-2011 Optics and photonics－Optical transfer function－Principles of measurement of modulation transfer function (MTF) of sampled imaging systems《光学和光子学 光学转移函数 取样成像系统的调.pdf

1、 KSKSKSKSKSKSKSK KSKSKS KSKSK KSKS KSK KS KS B ISO 15529 (MTF) KS B ISO 15529:2011 2011 12 30 http:/www.kats.go.krKS B ISO 15529:2011 : ( ) ( ) ( ) : (http:/www.standard.go.kr) ： ：2006 6 9 ：2011 12 30 2011-0718 ： ： ( 02-509-7274) (http:/www.kats.go.kr). 10 5 , . KS B ISO 15529:2011 i ii 1 1 2 1 3 .1

2、 4 .4 4.1 ( ) .4 4.2 .6 4.3 LSF .7 5 MTF .7 5.1 .8 5.2 (Test azimuth) 8 5.3 Tsys 9 5.4 MTF (Tap).14 6 (aliasing function), 14 A( ) .16 A.1 (isoplanatism)16 A.2 .16 B( ) .19 B.1 .19 B.2 .19 B.3 21 24 KS B ISO 15529:2011 ii 2010 3 ISO 15529, Optics and photonics Optical transfer functionPrinciples of

3、measurement of modulation transfer function (MTF) of sampled imaging systems . KS B ISO 15529:2011 (MTF) Optics and photonics Optical transfer function Principles of measurement of modulation transfer function (MTF) of sampled imaging systems 1 (MTF) MTF . (aliasing) . . (parameter) KS B ISO 9334 KS

4、 B ISO 9335 MTF . (line spread function, LSF) OTF/MTF . 2 . . ( ) . KS B ISO 9334, (OTF) KS B ISO 9335, (OTF) KS B ISO 11421, (OTF) 3 . 3.1 3.1.1 (sampled imaging system) 1 . KS B ISO 15529:2011 2 2 “ ” ( ). 3.1.2 (sampling period) a . 2 . 3.1.3 (Nyquist limit) 1/(2a) (sinewave) 3.1.9 3.1.4 (line sp

5、read function of the sampling aperture of a sampled imaging system) Lap(u) 1 , , . 2 Lap(u) 1 . 3.1.5 (optical transfer function of a sampling aperture) Dap(r) Lap(u) = uruiuLrD d)2exp()()(apap r . 3.1.6 (modulation transfer function of a sampling aperture) Tap(r) Dap(r) 3.1.7 (reconstruction functi

6、on) , OTF MTF Drf(r) Trf(r) . 3.1.8 (MTF of a sampled imaging system) Tsys(r) KS B ISO 15529:2011 3 ( ) ( CRT ) MTF Tap(r) Trf(r) Tsys . CCD / CRT . 3.1.9 (Fourier transform of the image of a narrow slit produced by the imaging system) Fimg(r) . = uruiuLrF d)2exp()()(imgimg Limg(u) . Limg(u) . 3.1.1

7、0 (aliasing function of a sampled imaging system) AF,sys(r) |Fimg(r)| 1/2 2)|)(|)(|)(miningmaximgsysF,rFrFrA= 1 0 ( , 1 ). 2 AF,sys(r) , . 3.1.11 (aliasing ratio of a sampled imaging system) AR,sys(r) AF,sys(r)/(|Fimg(r)|)av, (|Fimg(r)|)av MTF |Fimg(r)| . AR,sys(r) / . AF,sys(r) (|Fimg(r)|)av . 3.1.

8、12 MTF (MTF of an imaging pick-up subsystem) Timp(r) Tap(r) Tlens(r) . Tlens(r) - (anti-aliasing filter) . KS B ISO 15529:2011 4 3.1.13 (aliasing potential of a sampled imaging system) AP, impr 0.5 r 1 Timp(r) r 0 r 0.5 . r 1/a 1 . 3.2 1 . 1 (parameter) a mm, mrad, degrees 1/(2a) mm 1,mrad 1, degree

9、s 1u mm, mrad, degrees r mm 1, mrad 1, degrees 1Lap(u) 1 Dap(r) Tap(r) Drf(r) 1 Trf(r) Tsys(r) Timp(r) 1 Fslt(r) 1 Dlens(r) 1 Tlens(r) Fimg(r) 1 AF,sys(r) Lin(u) , 1 Fin(r) Lin(u) 1 Lav(u) LSF 1 Fav(r) Lav(u) Limg(u) 1 AR,sys(r) AP,imp 1 4 4.1 ( ) 4.1.1 KS B ISO 15529:2011 5 1 . 3. . =krDakakrFrF )(

10、)/(2iexp()/()(rfinimg (1) Fin(r) Fslt(r)Dlens(r)Dap(r)(2) k： ( , k 0, 1, 2, 3, ) ： 2, 3 . 1 Fslt(r) 2 Dlens(r)/MTF, Tlens(r) 3 Dap(r)/MTF, Tap(r) 4 Drf(r)/MTF, Trf(r) 1 4.1.2 4.1.2.1 ( A ). 4.1.2.2 |Fin(r)| 1/2a . )(|)(|)(|rfinimgrTrFrF = (3) )()(|)(|)(|aplenssltinrTrTrFrF = (4) KS B ISO 15529:2011

11、6 , |)(|/|)(|sltimgrfaplenssysrFrFTTTT = (5) 4.1.2.3 |Fin(r)| 2 ( , 1/a) 2 , |Fimg(r)| . . )()/1()()(rfininmaximgrTarFrFrF += (6) , )()/1()()(rfininminimgrTarFrFrF = (7) . r 1/(2a) . )(2)()()(sltminimgmaximgsysrFrFrFrT= (9) |Fimg(r)|max |Fimg(r)|min . Lin(u) (PTF) ( ) . . 4.2 , Lin(u) ( 2 ). Lin(u)

12、. )()()()(aplenssltinrTrTrFrF = (10) , )()()()(lenssltinaprTrFrFrT= (11) , Trf . (11) . )()()()()(sltinimplensaprFrFrTrTrT = (12) Timp(r) ( - ) . KS B ISO 15529:2011 7 a) 1 Fslt(r) 2 OTF, Dlens(r)/MTF, Tlens(r) 3 OTF, Dap(r)/MTF, Tap(r) 4 2 b) b) X Y 2 4.3 LSF LSF , Lav(u) . )()()(rfinavrTrFrF = (13

13、) , )()(sltavrfaplenssysrFrFTTTT = (14) . 5 MTF KS B ISO 15529:2011 8 5.1 5.1.1 4. . , . . . MTF . 5.1.2 2. . MTF . . MTF . 5.1.3 MTF MTF MTF ( , Tsys) MTF . MTF , Tsys . . 5.1.4 KS B ISO 9335 MTF . , , . 5.2 (Test azimuth) 5.2.1 (raster) MTF . , . , ( , CRT , ) . , . 5.3 5.4 . . , . , LSF KS B ISO

14、15529:2011 9 . , . , Trf(r) 1 . 5.3.3 5.3.4 . 5.2.2 , (multipliers) 5.3.3 MTF . , . . 5.3 Tsys 5.3.1 |Fin(r)| ( ) |Fin(r)| (5) Tsys(r) . ( ) MTF ( ). . |Fin(r)| (5) 0 (KS B ISO 9335) . |Fin(r)| . , MTF 0 . 0 . ( , Lslt(u) exp( (cu)2). c . 3 . . 3 KS B ISO 15529:2011 10 MTF . , ( MTF ) . ( MTF KS B I

15、SO 9334 ). MTF . 5.3.2 2 , 1/a |Fin(r)| (8) (9) . MTF . 4 CCD . (MTF ) . MTF . , MTF . . |Fimg(r)|max |Fimg(r)|min . (8) (9) Tsys(r) . ( a) , (step) 1/10 . |Fimg(r)|max |Fimg(r)|min |Fimg(r)| . 7/10 . 2 |Fin(r)| (8) (9) . (5.3.1) . Tsys . , |Fimg(r)|max |Fimg(r)|min AF,sys(r) AR,sys(r) (6. ). MTF . KS B ISO 15529:2011 11 a) b) LSF MTF 1 5 (stage) 2 6 3 CCD 7 4 MTF 4 MTF 5.3.3 LSF (13) . . 5 . , LSF LSF 5 . LSF . LSF (13) Fav(r) . KS B ISO 15529:2011 12 a) b) 1 6 (head) 2 7 MTF 3 8 4 9 5