Basics of OPTICS OF MULTILAYER SYSTEMS 9_8\xLk
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Contents Y!+H9R
Preface……………………………………………………………………….………..……….4 1/i1o nu}
Chapter 1 'Ydr_Ses
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: KK{_s=t%<
THEORY……………………………………………………………………………………….5 CH q5KB98+
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 f>e0 l'\
1.1.1 Layered medium electromagnetic field equations………………………………...5 `\'V]9wS
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 PF#<CF$ =
1.1.3 The Fresnel formulas ……………………………………………………………18 w`fbUh6/
1.1.4 Other ways of determining amplitude transmittance and reflectance of the Xk1uCVUe5
layered medium…………………………………………………………………..19 ya[f? 0b0
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 k7j[t B#
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 l]j;0 i
1.2.1 Matrix calculating method ………………………………………………………22 7SNdC8GZ~
1.2.2 Description of optical coating and presentation of calculation results…………..28 UZ "!lpg
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 |'I>Ojm
1.2.4 Approximate formulas…………………………………………………………...33 IZ iS3
1.2.5 Other recurrent methods…………………………………………………………34 /t ! 5||G
1.2.6 The admittance phase plane……………………………………………………...38 5<Uh2c
1.3 Some common properties of multilayer coatings…………………………………….46 n5;@}Rai
1.3.1 The relation between the characteristic matrix and spectral coefficients of a :{VXDT"
multilayer coating ……………………………………………………………….47 C%{2 sMJz
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 (nXnP{yb
1.3.3 Transmittance and reflectance of the combination of two multilayer m*YfbOhs #
subsystems ……………………………………………………………………....54 X|G[Ma?
1.4 The multilayer coatings optical properties: impact of variations in the layer 8aKS=(Z!j
parameters……………………………………………………………………………...58 ZJm$7T)V
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… B#+n$5#FK
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral agE- ,
coefficients: probability assessment method ……………………….…………...63 dQ _4aO
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter a)c;z@r
variations ………………………………………………………………………...66 !0P:G#o-$
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 m ) rVzL
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 qkz|r?R)
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 q2'}S
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1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 J*Ie# :J]
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the iOSt=-p
central wavelength ………………………………………………………………80 d R=0K
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 &328pOT4
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 Q1ayd$W@<
1.6.1 Common expressions for spectral coefficients of filter-type systems near central >`/s+V
wavelength ………………………………………………………………………88 gK@`0/ k{
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 t\ 'M B
Chapter 2 ^fH)E"qq5
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 t_* x. {x-
2.1 Synthesis methods based on merit function optimization …………………………...98 x*RSD,3
2.1.1 Merit function selection …………………………………………………………98 e6mm;@F>
2.1.2 Merit function optimization ……………………………………………………101 4]$OO'
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 wa{!%qu5.R
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 ngmC~l*,
2.2.1 Needle-like variations of the refractive index ………………………………….115 iSR"$H{
2.2.2 The principal idea of the method ………………………………………………119 -iY-rzW
2.2.3 Description of the method ……………………………………………………...124 #5kclu%L$
Bibliography …...………………………………………….……………….………..……130
