Basics of OPTICS OF MULTILAYER SYSTEMS $GD
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Contents 'kJyE9*xU.
Preface……………………………………………………………………….………..……….4 ~'Korxa
Chapter 1 1_mqPMm
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 3my_Gp
THEORY……………………………………………………………………………………….5 C)cuy7<
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 rj29$d?Y9
1.1.1 Layered medium electromagnetic field equations………………………………...5 2\"T&
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 T'5MO\
1.1.3 The Fresnel formulas ……………………………………………………………18 YCG$GD
1.1.4 Other ways of determining amplitude transmittance and reflectance of the G1SOvdq
layered medium…………………………………………………………………..19 ^_=bssaOd
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 !#4b#l(e6
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 &'m&'wDt:
1.2.1 Matrix calculating method ………………………………………………………22 >=Na, D
1.2.2 Description of optical coating and presentation of calculation results…………..28 WXa<(\S\V
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 SS&G<3Ke
1.2.4 Approximate formulas…………………………………………………………...33 ?{1& J9H
1.2.5 Other recurrent methods…………………………………………………………34 X|Nb81M
1.2.6 The admittance phase plane……………………………………………………...38 RV@mAw.T
1.3 Some common properties of multilayer coatings…………………………………….46 4@jX{{^6%
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 8&y#LeM1TT
multilayer coating ……………………………………………………………….47 F ^)(
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1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 gZL,xX
1.3.3 Transmittance and reflectance of the combination of two multilayer 5QG?*Z~?7
subsystems ……………………………………………………………………....54 `Js"*[z
1.4 The multilayer coatings optical properties: impact of variations in the layer [n$6T
parameters……………………………………………………………………………...58 SM.KM_%K
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… fHgvh&FU
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral *3(mNpi{_
coefficients: probability assessment method ……………………….…………...63 riSgb=7q9
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter wd2z=^S~
variations ………………………………………………………………………...66 rrs0|=
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 `dgZ `#
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 }Rq{9j,%
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 Yo}QW;,g
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 % 3<7HY]~
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the }u;`k'J@
central wavelength ………………………………………………………………80 q]Af I(
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 tf>"fU\P
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 @lCyH(c%
1.6.1 Common expressions for spectral coefficients of filter-type systems near central -T>i5'2)
wavelength ………………………………………………………………………88
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1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 n}8}:3"
Chapter 2 qy/t<2'
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 eI/5foA
2.1 Synthesis methods based on merit function optimization …………………………...98 T:*l+<?
2.1.1 Merit function selection …………………………………………………………98 =F46v{la
2.1.2 Merit function optimization ……………………………………………………101 OgCz[QXr_
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 (JT
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2.2 Synthesis method based on the needle-like variations of the refractive index ……114 AK&=/[U>
2.2.1 Needle-like variations of the refractive index ………………………………….115 UYhxgPGsj
2.2.2 The principal idea of the method ………………………………………………119 FlT5R*m
2.2.3 Description of the method ……………………………………………………...124 )<
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Bibliography …...………………………………………….……………….………..……130