Basics of OPTICS OF MULTILAYER SYSTEMS q
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Contents
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Preface……………………………………………………………………….………..……….4 L]}RSE2
Chapter 1 xm10
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: tj^:SW.0
THEORY……………………………………………………………………………………….5 gy,TT<1 )
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ?'/5%f`
1.1.1 Layered medium electromagnetic field equations………………………………...5 G>ptwB81KM
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 h^_taAdS`
1.1.3 The Fresnel formulas ……………………………………………………………18 ?.Yw%{?TG
1.1.4 Other ways of determining amplitude transmittance and reflectance of the > v !c\
layered medium…………………………………………………………………..19 j.'"CU
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 &<P^Tvqq&
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 }
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1.2.1 Matrix calculating method ………………………………………………………22 =E~5&W7
1.2.2 Description of optical coating and presentation of calculation results…………..28 ?5YmE(v7
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 -^jLU
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1.2.4 Approximate formulas…………………………………………………………...33 FqUt uN
1.2.5 Other recurrent methods…………………………………………………………34 ;7n*PBUJJ
1.2.6 The admittance phase plane……………………………………………………...38 dbUZGn~
1.3 Some common properties of multilayer coatings…………………………………….46 Fee WZe0i
1.3.1 The relation between the characteristic matrix and spectral coefficients of a v{{2<,l
multilayer coating ……………………………………………………………….47 @ Rb1)$~#
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 s^?sJUj
1.3.3 Transmittance and reflectance of the combination of two multilayer >eTgP._
subsystems ……………………………………………………………………....54 q>:&xR"ra
1.4 The multilayer coatings optical properties: impact of variations in the layer ;1g-z]
parameters……………………………………………………………………………...58 HJ1\FO9\
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… hCvLwZ?LF
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 3 &nc'
coefficients: probability assessment method ……………………….…………...63 qddT9U|8~
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter k q.h\[
variations ………………………………………………………………………...66 ^\kHEM|5v
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ,Ho.O7H
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 07"Oj9NlA
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 s>``-
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1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 U8$dG)PhA
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the zcWxyLifl0
central wavelength ………………………………………………………………80 - QI`npsnV
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 F4<2.V)#-
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 |wb(rua
1.6.1 Common expressions for spectral coefficients of filter-type systems near central @g jdyz
wavelength ………………………………………………………………………88 8Gg/M%wq9U
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 JR<-'
Chapter 2 Bpo68%dx89
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 TIh zMW\/K
2.1 Synthesis methods based on merit function optimization …………………………...98 9w<Bm"G
2.1.1 Merit function selection …………………………………………………………98 h5J wB<8
2.1.2 Merit function optimization ……………………………………………………101 wVJFA1
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 e L?si!ZL^
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 q q_, "~
2.2.1 Needle-like variations of the refractive index ………………………………….115 \Y[)bo6s
2.2.2 The principal idea of the method ………………………………………………119 Hpg;?xAT
2.2.3 Description of the method ……………………………………………………...124 Y <k,E
Bibliography …...………………………………………….……………….………..……130
