| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS n?_!gqK
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Contents k-xh-&
Preface……………………………………………………………………….………..……….4 ]24aK_Uu
Chapter 1 i%+cPQ^o
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: V lR N
THEORY……………………………………………………………………………………….5 D oX!P|*
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 >'w l)j $
1.1.1 Layered medium electromagnetic field equations………………………………...5 xCF k1%qf
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 y[Zl ,v7
1.1.3 The Fresnel formulas ……………………………………………………………18 P66{l^
1.1.4 Other ways of determining amplitude transmittance and reflectance of the I]bqle0M
layered medium…………………………………………………………………..19 $cEl6(66iX
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 &$t BD@7
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 n o`c[XY
1.2.1 Matrix calculating method ………………………………………………………22 W!8g.r4u+,
1.2.2 Description of optical coating and presentation of calculation results…………..28 w'z ?1M(*
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 B
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1.2.4 Approximate formulas…………………………………………………………...33 Kj,C 9
1.2.5 Other recurrent methods…………………………………………………………34 \c3zK|^
1.2.6 The admittance phase plane……………………………………………………...38 e^Q$Tog<
1.3 Some common properties of multilayer coatings…………………………………….46 r,X5@ /
1.3.1 The relation between the characteristic matrix and spectral coefficients of a $7eO33Bm
multilayer coating ……………………………………………………………….47 8 7P{vf#
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 RB.& ,1
1.3.3 Transmittance and reflectance of the combination of two multilayer Ex9%i9H
subsystems ……………………………………………………………………....54 4zs1 BiMG
1.4 The multilayer coatings optical properties: impact of variations in the layer ^IGutZov
parameters……………………………………………………………………………...58 lMz5))Rr
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… w^Qb9vT a8
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral a)=WDRk
coefficients: probability assessment method ……………………….…………...63 :W(3<D7\
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter yPrp:% PS
variations ………………………………………………………………………...66 B2t .;uz(,
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 D,%R[F? 5O
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 ON#\W>MK?
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 y>wrm:b-O
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 $ s<,xY 9
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the S6C M/
central wavelength ………………………………………………………………80 iL(rZT&^
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 H|_^T.n?E
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 08AC 9
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ^]c/hb|X
wavelength ………………………………………………………………………88 @/h_v#W
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 1];rW`Bw
Chapter 2 &09z`* ,
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 nM:e<`r
2.1 Synthesis methods based on merit function optimization …………………………...98 = !7k/n';
2.1.1 Merit function selection …………………………………………………………98 "& ?F 6Pi
2.1.2 Merit function optimization ……………………………………………………101 la#f,C3_
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 3qOq:ZkQ
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 Q4e*Z9YJ
2.2.1 Needle-like variations of the refractive index ………………………………….115 owL>w
2.2.2 The principal idea of the method ………………………………………………119 ^$qr6+
2.2.3 Description of the method ……………………………………………………...124 WNSf$D{p
Bibliography …...………………………………………….……………….………..……130
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