Basics of OPTICS OF MULTILAYER SYSTEMS ),j6tq[
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Contents -O-?hsV)y
Preface……………………………………………………………………….………..……….4 &_hEM~{
Chapter 1 E_Y!in
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SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Iu >4+6
THEORY……………………………………………………………………………………….5 #
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1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 r{S DJa
1.1.1 Layered medium electromagnetic field equations………………………………...5 =]pEvj9o
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 &o1k_! 25
1.1.3 The Fresnel formulas ……………………………………………………………18 d'3"A"9R7-
1.1.4 Other ways of determining amplitude transmittance and reflectance of the y+{)4ptg$<
layered medium…………………………………………………………………..19 Xrpvq(]
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 fZ;}_wR-H
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 "^wIoJ 6H'
1.2.1 Matrix calculating method ………………………………………………………22 3/]FT#l]i
1.2.2 Description of optical coating and presentation of calculation results…………..28 C|3cQ{
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 V3d$C&<(
1.2.4 Approximate formulas…………………………………………………………...33 ?<8c
1.2.5 Other recurrent methods…………………………………………………………34 T,vh=UF%]
1.2.6 The admittance phase plane……………………………………………………...38 |R!ozlL{}
1.3 Some common properties of multilayer coatings…………………………………….46 87eH~&<1
1.3.1 The relation between the characteristic matrix and spectral coefficients of a [cl+AV "
multilayer coating ……………………………………………………………….47 , `EOJ"|
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 K~S*<?
1.3.3 Transmittance and reflectance of the combination of two multilayer 5IFzbL#q#f
subsystems ……………………………………………………………………....54 } _^ vvu
1.4 The multilayer coatings optical properties: impact of variations in the layer Q&^\YgkCf
parameters……………………………………………………………………………...58 Q1|zX@,
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...…………
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1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral e+4Eiv
coefficients: probability assessment method ……………………….…………...63 imAOYEH7}
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter }:;U nE}
variations ………………………………………………………………………...66 C+5X8
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 WXDo`_{R
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 ;f N^MW@&[
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 {d0-.
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 d~h;|Bl[
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the iDhC_F|
central wavelength ………………………………………………………………80 n4}e!
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 ZU +_nWnl
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 g#7Q-n3^
1.6.1 Common expressions for spectral coefficients of filter-type systems near central aIrM-c8.O
wavelength ………………………………………………………………………88 FH$q,BI!R
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 u4m8^fj+ T
Chapter 2 >kmgYWG
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 B
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2.1 Synthesis methods based on merit function optimization …………………………...98 *,*O.#<6
2.1.1 Merit function selection …………………………………………………………98 )& Oxp&x
2.1.2 Merit function optimization ……………………………………………………101 .]JIo&>5
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 lQvgq
2.2 Synthesis method based on the needle-like variations of the refractive index ……114
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2.2.1 Needle-like variations of the refractive index ………………………………….115 J]{<Z?%
2.2.2 The principal idea of the method ………………………………………………119 nKnrh]hX
2.2.3 Description of the method ……………………………………………………...124 o76! 7
Bibliography …...………………………………………….……………….………..……130
