Basics of OPTICS OF MULTILAYER SYSTEMS }%x }fu#
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Contents oIR.|=Hk{
Preface……………………………………………………………………….………..……….4 5>P7]?U.]
Chapter 1 @zrNN>
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: waCboK'
THEORY……………………………………………………………………………………….5 d&u 7]<yDA
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 G'9{a'
1.1.1 Layered medium electromagnetic field equations………………………………...5 's .~ $
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 MRs,l'
1.1.3 The Fresnel formulas ……………………………………………………………18 74_xR
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ~:EW>Fq%i
layered medium…………………………………………………………………..19 O3Uh+gKQ
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 , 1
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ~ezCu_
1.2.1 Matrix calculating method ………………………………………………………22 (Y2m md
1.2.2 Description of optical coating and presentation of calculation results…………..28 sAYV)w3u"
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 7)J6/('
1.2.4 Approximate formulas…………………………………………………………...33 vbp-`M(
1.2.5 Other recurrent methods…………………………………………………………34 %2D 17*eK
1.2.6 The admittance phase plane……………………………………………………...38 `hzrfum4
1.3 Some common properties of multilayer coatings…………………………………….46 5V @&o`!=h
1.3.1 The relation between the characteristic matrix and spectral coefficients of a %iJ|H( P
multilayer coating ……………………………………………………………….47 vCb]%sd-U
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 W2 eAhz&
1.3.3 Transmittance and reflectance of the combination of two multilayer ] H&c'
subsystems ……………………………………………………………………....54 [(|v`qMv/g
1.4 The multilayer coatings optical properties: impact of variations in the layer /.P9MSz0G
parameters……………………………………………………………………………...58 -CD\+d "
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ` ?9T~,
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral bxwkTKr '
coefficients: probability assessment method ……………………….…………...63 HH8;J66I&
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter T4 r5s
variations ………………………………………………………………………...66 <GF @L
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 a4&:@ ` =
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 gvyT-XI
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 0^#DNq*NQ
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 8Z# 21X>
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the P+Z\3re
central wavelength ………………………………………………………………80 ,[`$JNc
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 xo Gb
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 //.>>-~1m
1.6.1 Common expressions for spectral coefficients of filter-type systems near central TvQ ^DZbe
wavelength ………………………………………………………………………88 ZJ(rG((!
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 a2yE:16o6
Chapter 2 i8~$o:&HT
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 } 0M{A+
2.1 Synthesis methods based on merit function optimization …………………………...98 vv.PF~:
2.1.1 Merit function selection …………………………………………………………98 f^9&WT
2.1.2 Merit function optimization ……………………………………………………101 kH?#B%N5
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 vZkXt!%)
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 8!zb F<W9
2.2.1 Needle-like variations of the refractive index ………………………………….115 Np2ci~"<.
2.2.2 The principal idea of the method ………………………………………………119 EGS%C%>l/o
2.2.3 Description of the method ……………………………………………………...124 S|K}k:v8
Bibliography …...………………………………………….……………….………..……130
