Basics of OPTICS OF MULTILAYER SYSTEMS ~@x@uY$5
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Contents )2|'`
Preface……………………………………………………………………….………..……….4 lH6zZ8rh
Chapter 1 5h9`lS2
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: GB1[`U%
THEORY……………………………………………………………………………………….5 5 JE8/CbH
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 "( 6]K}k@
1.1.1 Layered medium electromagnetic field equations………………………………...5 >bia
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1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 :h 1-i
1.1.3 The Fresnel formulas ……………………………………………………………18 T>l=0a #
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ;~Ke5os=s
layered medium…………………………………………………………………..19 EROf%oaz=
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 D 6trqB
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 /;t42
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1.2.1 Matrix calculating method ………………………………………………………22 T#.5F7$u
1.2.2 Description of optical coating and presentation of calculation results…………..28 $ d4^e& s
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 Ds4n>V,o
1.2.4 Approximate formulas…………………………………………………………...33 k# 8,:B2
1.2.5 Other recurrent methods…………………………………………………………34 rzH*| B0g
1.2.6 The admittance phase plane……………………………………………………...38 4#$~ gTc@
1.3 Some common properties of multilayer coatings…………………………………….46 n{ dl- P
1.3.1 The relation between the characteristic matrix and spectral coefficients of a !@9Vq6
multilayer coating ……………………………………………………………….47 B{ wx"mK
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 bDa(@QJ-
1.3.3 Transmittance and reflectance of the combination of two multilayer f?wn;;z`
subsystems ……………………………………………………………………....54 n& Q{
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1.4 The multilayer coatings optical properties: impact of variations in the layer >5{Z'UWxh
parameters……………………………………………………………………………...58 Y%v?ROql
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… =@U~ sl [
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral Np4'; H
coefficients: probability assessment method ……………………….…………...63 =,q,W$-
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter -hav/7g
variations ………………………………………………………………………...66 @B;2z_Y!l
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 4^T@n$2N
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 #?)g? u%g=
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 -iu7/4!j
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 acgtXfHR
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the \IL/?J
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central wavelength ………………………………………………………………80 xEN" "*Q
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 gVM9*3LH6
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 QMoh<[3qu
1.6.1 Common expressions for spectral coefficients of filter-type systems near central HS"E3s8
wavelength ………………………………………………………………………88 X\tE# c&K
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 H]V@Q~?e
Chapter 2 ? mxBMtc
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 hnM?wn
2.1 Synthesis methods based on merit function optimization …………………………...98 gF( aYuk
2.1.1 Merit function selection …………………………………………………………98 V @A+d[
2.1.2 Merit function optimization ……………………………………………………101 T/DKT 1P-
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 rPoPs@CBD
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 6-U+<[,x
2.2.1 Needle-like variations of the refractive index ………………………………….115 g9>
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2.2.2 The principal idea of the method ………………………………………………119 9ALE6
2.2.3 Description of the method ……………………………………………………...124 -1Acprr
Bibliography …...………………………………………….……………….………..……130
