第八章 容忍度分析（Iolerancing）
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1 (fourth verso; 00 ) 8. Toleracg 8. Default toleraces 8.3 statstcs backgroud user-defed toleracg 8.6 chage table toleracg 8.7 MTF/RMS 8. costructo parameter sestvty performace 8. Default toleraces OSLO ISO 00 ISO 00 OSLO 8. OSLO surface form 3/ gve frges OSLO (mm) ± 0. ± 0. 5 ±. 0 ±. 5 (mm) 8-
2 (fourth verso; 00 ) (mm) ±. 0 ± 0. ± 0. 4 ± 0. 8 ± 30 ± 30 ± 30 ± (mm) (m/cm) ; ; 3 5() 3 0() 3 0() 3 0() 30 mm 60 mm ISO statstcs backgroud 78.5mm 3.5mm 78.5mm W. Goodma statstcal optcs 8-
3 (fourth verso; 00 ) X X F(x) X x Pr ob {} x F ( x) ob{ X x} = Pr 8. z X F(x) x F(- )=0 F( )= x 0 x 5 p(x) d p ( x) = F( x) 8. dx p(x)dx X x X xtdx d F( x) dx Pr ob = F { x X } ( x) F( x + x) Pr ob{ X x} Pr ob{ X x + dx} x = x < x + x p x ( x) dx = Pr ob{ x X < x + dx} ( x) 0 p 8.3 ( x) dx = p 8.4 b { a < X b} = p( Pr ob x) dx 8.5 a statstcal averages expected values g(x) x g(x) <g(x)> g ( x) g( x) p( x) = dx 8.6 momets g(x)=x x ( x) = xp dx 8.7 secod momet mea square value x ( x) = x p dx 8.8 g(x)=(x-<x>) varace 8-3
4 (fourth verso; 00 ) σ = ( x x ) p( x)dx 8.9 σ = x x 8.0 stadard devato X X 8.4 Cooke trplet 6 6 rregulartes x x x S S MTF S S 0 δs = S S 0 S 0 S f ( x, x, ) δ S = f, 8. L x x =0 S=0 x S S S = x x = δ S = δs = α x 8. = = = δ S = α x = α x
5 (fourth verso; 00 ) δs = = α x = = α x = α x = = α x +, = α α x x S 8.4 σ δ = + S α x α α x x α x + α α x x 8.5 = = x x x x x x = x x 8.5 = x ( x x ) = σ δ = α α σ 8.6 S x = x σ = x x S d 8.6 x k σ = k x 8.8 x ( k x ) = k α x = k ( α σ δ = S ) 8.9 S = = = S = x k k δs ( S ) = σ = k x S k k S 8.0 x 8. ed-pot dstrbuto uform dstrbuto Gaussa ormal 8-5
6 (fourth verso; 00 ) <x >=0 8.3 < S>=0 x x x x x x 8. k κ k tolerace budgetg square Root of the Sum of the squrace, RSS 8.0 k= 3 k RSS k 8.0 S cetral lmt theorem x,x,x 3,x z = x = 8-6
7 (fourth verso; 00 ) ( z µ ) p ( z) = exp 8. πσ σ < S>=0 8. S p () s exp ( δs ) = πσ σ δs δ S ±δs max Pr ob δs δs max { } ( ) ( ) max δs δs = p S d S = erf max δ δ δs σ max δs 8.3 erf(x) error fucto erf ( x) = e π x 0 t dt 8.4 σ δs δs max ±σ δs 95 tolerace budget δs max /σ δs δ s max σ δs δs max /σ δs sestvty aalyss verse sestvty aalyss ISO00 chage table sestvty table S 8-7
8 (fourth verso; 00 ) tolerace budget 8.0 σ δs S S = S tar δs = ( S ) = k Star = k Star σ = k 8.5 tar σ δ S Star = 8.6 k user-defed toleracg CCL SCP 8-8
9 (fourth verso; 00 ) Compesators Optcs Toolbox : publc\le\lb\walker\toolbox\yama00.le - vgettg *apset SCP vgettg vgettg
10 (fourth verso; 00 ) 8. RMS OSLO back focus compesator mm 0 frges 0 9 sphercal form error
11 (fourth verso; 00 ) sphercal frge clear aperture meu User-defed Toleracg>>Sestvty pop-up lst Sphere frges refocusg back focus adustmet 30 m.5 m 3mm 0 m 7.5 m.5 m δs max /σ δs =.5.0 m σ δs =0.00 k=0.58 =8 8.6 S tar =
12 (fourth verso; 00 ) 8.9 3,4,6,7, m m 3, m mm 8. 8-
13 (fourth verso; 00 ) 8.6 chage table toleracg chage table tolerace 3 trasverse, T logtudal, L wavefrot, W λ/4 strehl 0.8 λ/4 0.5 Smth Proc. SPIE, 53, 96(985) Smth laser recordg les 0.8 m
14 (fourth verso; 00 ) Strehl 0.75 prescrpto Smth tolerace budget peak-to-valley OPD m Smth statstcal sum, RSS mrad mllrada
15 (fourth verso; 00 ) 8.3 Smth peak-to-valley OPD 0.5 sphercal error elemet thckess ar space dex of refracto surface tlt sphercal aberrato coma astgmatsm OSLO
16 (fourth verso; 00 ) 8.4 OSLO Smth YFS XFS YFS XFS RSS RSS ( λ ) RSS 5 RSS 8.6 RSS ( λ ) RSS RSS 8.7 RSS ( λ ) / RSS 8-6
17 (fourth verso; 00 ) RSS Smth budget 0.73λ OPD 0.84λ tolerace budgetg OPD Smth 6 Tolerace Budget 0.84 OPD 0.88 Strehl /0.88=.9x RRS optcal shop tolerace profle 5 ±0.mm oe mute customary profle profle
18 (fourth verso; 00 ) RSS 8.7 RSS Smth budget RSS Strehl budget 8.7 MTF/RMS Cooke 3 Hopks Tza H. H. Hopks ad H. J. Taa, A theoretcal ad expermetal study of les cetrg errors ad ther fluece o optcal magg qualty, Brt. J. Appl. Phys. 7, (966). 8-8
19 (fourth verso; 00 ) omal system MTF MTF/RMS 8.4 QG G omal ray Q Hopks Tza Q G W δ w = PQ ' PG 8.7 ' 8.7 ( δrˆ ˆ)( ˆ gˆ ' ˆ' gˆ ) δ w = δ 8.8 δr v ĝ î 'ˆ PQ ĝ î 'ˆ δrˆ 8.4 Hopks Tza Hopks Tza Brt. J. Appl. phys. 7,33-54 (996) Rmmer Proc. SPIE 47, 8-9
20 (fourth verso; 00 ) (978) MTF = = δ S = A x + B x + c x x 8.9 S S x x 0 S = A = δ S = σ ( x σ x ) + B σ x + = x σ δ = A c σ σ 8.3 S x x A B A B S S x S S 0 A B B A Koch Proc. SPIE 47, 7-8(978) 8.9 A B MTF MTF MTF RMS compesators Smth scaled verso \le\ls\wsmth\ch\hofmmc.le Smth Moder Les Resg.4 Smth 8-0
21 (fourth verso; 00 ) 00mm 5mm Edt meu scale les pop-up lst scale les to ew focal legth 5 Helum-Cadmum m o-axs performace paraxal setup spreadsheet.0x x0-5 mrad o-axs Spot dagram RMS -4 m 3-4 m
22 (fourth verso; 00 ) 8.5 RMS OPD RMS OPD RMS OPD 5 decetrato 0 m m OSLO =0 m
23 (fourth verso; 00 ) Tolerace MTF/Wvf RMS m B 0 A RMS OPD A RMS strehl 0.8 RMS 0.07 RMS RMS budget
24 (fourth verso; 00 ) RMS
25 (fourth verso; 00 ) [] OSLO Optcal Referece verso 5 (Sclar Optcs, 996) [] OSLO Optcal Referece verso 6. (Lambda Research Corp., 00) 8-5
26 (fourth verso; 00 ). Smth 8-6
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第九章 高斯光束（Gaussian beams）
Gaussian beams 9.1 9. Gaussian beam propagation 9.3 Gaussian beam imaging 9.4 tilted spherical mirror 9.5 f-θ scan lens 9.6 Gaussian beam with general astigmatism 9.7 Laser Cavity Design 9.1 OSLO Kogelink
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第十二章 偏振\(polarization\)
(fourth erson; 00 ) 1.1 1. (polarzaton) 1..1 Mawell s equatons 1.. (Polarzaton ellpse) 1..3 Fresnel 1..4 Jones Calculus 1.3 Malus's (Malus s law) 1.4 Fresnel (Fresnel rhomb) 1.5 Vector Dffracton 1.1 (polarzaton)
第１０章 繞射光學（Diffractive Optics）
Diffractive Optics 1.1 1. 1..1 (Scalar Diffraction Analysis) 1.. extended scalar theory 1.3 Types of Diffractive Surface 1.3.1 linear grating 1.3. Optical hologram 1.3.3 Phase Model 1.4 1.4.1 Paraxial
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第六章 像質品估（Image Evaluation）
6.1 Image Evaluation 6. 6.3 6.3.1 6.3. Spot size Analysis 6.3.3 wavefront Analysis 6.4 Point spread functions 6.4.1 6.4. 6.4.3 6.5 fiber coupling 6.6 Energy Distribution 6.7 Transfer functions 6.7.1 6.7.
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第三章 單色差（monochromatic aberration）
monochromatic aberration.1...1 (The specification of ras).. (ra-intercept curves).. (comatic and astigmatic aberrations).. (defocusing)..5 (curvature of field and astigmatism)..6 (distortion). (aberration
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Chapter Lecture #4: Several notes 1. Recommend this book, see Chap and 3 for the basics about Matlab. [1] S. C. Chapra, Applied Numerical Methods with MATLAB for Engineers and Scientists. New York: McGraw-Hill,
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m0 m = v2 1 c 2 F G m m 1 2 = 2 r m L T = 2 π ( m g 4 ) m m = 1 F AC F BC r F r F l r = sin sinl l F = h d G + S 2 = t v h = t 2 l = v 2 t t h = v = at v = gt t 1 l 1 a t g = t sin α 1 1 a = gsinα
S = 1 2 ( a + b) h a b = a 1 a b = a 1 b b 2 2 πr 2r π π 2 = ( - 2)r 2 2 = - 2 = 57 2r 2r 2 6 5 7 4 3 6 5 4 3 3 4 5 6 7 7 5 7 6 1 1 1 1 1 2 3 5 7 7. 2 3 4 6 12 3 4 12 12 1
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dn = kn ( 5 1) dt t = 2 303 1 k tg N 0. ( 5 2) N S m + M v = V (5 3) K S dx = µ X dt 5 4 S µ = µ m K + S ( 5 5) S ds 1 dx 1 = = µ X ( 5 6) dt Y dt Y x/ s x/ s ds 1 = + + ( ) dt Y X mx 1 dp
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! # % & ( ) % + ( ), & ). % & /. % 0 1!! 2 3 4 5# 6 7 8 3 5 5 9 # 8 3 3 2 4 # 3 # # 3 # 3 # 3 # 3 # # # ( 3 # # 3 5 # # 8 3 6 # # # # # 8 5# :;< 6#! 6 =! 6 > > 3 2?0 1 4 3 4! 6 Α 3 Α 2Η4 3 3 2 4 # # >
2 Abstract 厦门大学博硕士论文摘要库 1
bstrat.4 6....3 9 8 3 . B, α,,α ( ρ) ρee, β,, β ρ, C = ρee ( ρ) B, ρ,( ρ) α,,( ρ) α,( ρ) β,,( ρ) β., α,, α },, β,, β },, α,, α, β,, β} 3. σ =, λ,, λ } B λ,,λ S R BS S σ,,,, λ, µ ( λ < µ ) x, y x, y ( λ,
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# % & ( ) # +,. / 0 1 2 /0 1 0 3 4 # 5 7 8 / 9 # & : 9 ; & < 9 = = ;.5 : < 9 98 & : 9 %& : < 9 2. = & : > 7; 9 & # 3 2
x y z.... X Y (cdf) F (x, y) = P (X x, Y y) (X, Y ) 3.1. (X, Y ) 3.2 P (x 1 < X x 2, y 1 < Y y 2 ) = F (x 2, y 2 ) F (x 2, y 1 ) F (x 1, y 2
3 3.... xy z.... X Y (cdf) F (x, y) = P (X x, Y y) (X, Y ) 3.. (X, Y ) 3.2 P (x < X x 2, y < Y y 2 ) = F (x 2, y 2 ) F (x 2, y ) F (x, y 2 ) + F (x, y ) 3. F (a, b) 3.2 (x 2, y 2) (x, y 2) (x 2, y ) (x,
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