Basics of OPTICS OF MULTILAYER SYSTEMS >NqYyW,%
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Contents _.>QEh5"5
Preface……………………………………………………………………….………..……….4 3t`P@nL0;
Chapter 1 3 ,>0a
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 9iXeBC
THEORY……………………………………………………………………………………….5 Scp7X7{N
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 =7-9[ {
1.1.1 Layered medium electromagnetic field equations………………………………...5 ~hZ"2$(0
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 w<C #Bka
1.1.3 The Fresnel formulas ……………………………………………………………18 ?f# y1m
1.1.4 Other ways of determining amplitude transmittance and reflectance of the s4G |_==
layered medium…………………………………………………………………..19 uG?_< mun
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 L=c!:p|7)
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 bsuus
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1.2.1 Matrix calculating method ………………………………………………………22 6$fHtJD:
1.2.2 Description of optical coating and presentation of calculation results…………..28 6S\C}U/
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 D5$wT I
1.2.4 Approximate formulas…………………………………………………………...33 UUSq$~Ct
1.2.5 Other recurrent methods…………………………………………………………34 %dJX-sm@
1.2.6 The admittance phase plane……………………………………………………...38 U3 */v4 /
1.3 Some common properties of multilayer coatings…………………………………….46 BsBK@+Zy I
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ML:Q5 ^`
multilayer coating ……………………………………………………………….47 4S,`bnmB
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 7bqBk,`9
1.3.3 Transmittance and reflectance of the combination of two multilayer ]NjX?XdX<
subsystems ……………………………………………………………………....54 WEFlV4/
1.4 The multilayer coatings optical properties: impact of variations in the layer r9X?PA0f
parameters……………………………………………………………………………...58 Kpb#K[(]&
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… W^fuScG)c
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral kz{/(t
coefficients: probability assessment method ……………………….…………...63 g$(
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter aJY gzr,
variations ………………………………………………………………………...66 &@%W29:
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 k:* S&$S!E
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 xG}(5Tt
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 `n$I]_}/%
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 NxjB/N
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the ;} und*q
central wavelength ………………………………………………………………80 D-8O+.@
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 ="x\`+U
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 5:O-tgig.
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ;w: M`#2
wavelength ………………………………………………………………………88 MG[o%I96
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 ;epV<{e$q4
Chapter 2 1=#q5dZ ]
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 cU0s
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2.1 Synthesis methods based on merit function optimization …………………………...98 Is]aj-#r
2.1.1 Merit function selection …………………………………………………………98 !xP8# |1
2.1.2 Merit function optimization ……………………………………………………101 EG0WoUX|
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 ~ (x;5{
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 HU%o6c w
2.2.1 Needle-like variations of the refractive index ………………………………….115 + # GQ,
2.2.2 The principal idea of the method ………………………………………………119 Z^V6K3GSz-
2.2.3 Description of the method ……………………………………………………...124 ? z}=B
Bibliography …...………………………………………….……………….………..……130
