| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS ADOA&r[
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Contents ~@Bw(!
Preface……………………………………………………………………….………..……….4 X-"
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Chapter 1 3rHn?
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: |Bi 7:w
THEORY……………………………………………………………………………………….5 N8kNi4$mp=
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 iyR"O1 ]
1.1.1 Layered medium electromagnetic field equations………………………………...5 Hq gg*4#
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 -~JYfj@
1.1.3 The Fresnel formulas ……………………………………………………………18 n,s 7!z/
1.1.4 Other ways of determining amplitude transmittance and reflectance of the [FF}HWf
layered medium…………………………………………………………………..19 B:UM2Jl
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ` s+kYWg'Z
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 #1*7eANfr
1.2.1 Matrix calculating method ………………………………………………………22 ,gG RC p
1.2.2 Description of optical coating and presentation of calculation results…………..28 P'}B5 I~
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 EBL-+%J8
1.2.4 Approximate formulas…………………………………………………………...33 _4 nm h0q4
1.2.5 Other recurrent methods…………………………………………………………34 X}x\n\Z
1.2.6 The admittance phase plane……………………………………………………...38 !"RRw&0M
1.3 Some common properties of multilayer coatings…………………………………….46 !'[? cEog
1.3.1 The relation between the characteristic matrix and spectral coefficients of a
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multilayer coating ……………………………………………………………….47 2v@B7r4}
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 `J03t\
1.3.3 Transmittance and reflectance of the combination of two multilayer &\c S{35
subsystems ……………………………………………………………………....54 T fIOS]
1.4 The multilayer coatings optical properties: impact of variations in the layer b3 =Z~iLv
parameters……………………………………………………………………………...58 ,g0t&jITo
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… D{y7[#$h$
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral > O
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coefficients: probability assessment method ……………………….…………...63 1/;E8{
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter i0+e3!QU
variations ………………………………………………………………………...66 `[}X_d 1A
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 j6k"%QHf
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 Wuk8&P3
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 {{M/=WqC
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 :Ru8Nm
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 6L\]Ee
central wavelength ………………………………………………………………80 G B pdj}2=
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 @b., pwZF
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 ),Yk53G6c
1.6.1 Common expressions for spectral coefficients of filter-type systems near central yVGf[ ~X
wavelength ………………………………………………………………………88 /hVwrt(
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 "zX rfn
Chapter 2 ;; Z'd@
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ns\I Y<Yo
2.1 Synthesis methods based on merit function optimization …………………………...98 r 7?nHF
2.1.1 Merit function selection …………………………………………………………98 mPQT%%MF
2.1.2 Merit function optimization ……………………………………………………101 1HAnOy0
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 yk5K8D[tV
2.2 Synthesis method based on the needle-like variations of the refractive index ……114
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2.2.1 Needle-like variations of the refractive index ………………………………….115 gd qBT]j
2.2.2 The principal idea of the method ………………………………………………119 #$2/<
2.2.3 Description of the method ……………………………………………………...124 <,/ 7:n
Bibliography …...………………………………………….……………….………..……130
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