Basics of OPTICS OF MULTILAYER SYSTEMS uVU)d1N
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Contents Qci]i)s$js
Preface……………………………………………………………………….………..……….4 'W#D(l9nI
Chapter 1 3mni>*q7d
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: ::F|8
THEORY……………………………………………………………………………………….5 O1kl70,`R
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 { "E\Jcjl\
1.1.1 Layered medium electromagnetic field equations………………………………...5 )_NO4`ejs/
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 DeYV $W
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1.1.3 The Fresnel formulas ……………………………………………………………18 WjjB<YKzF
1.1.4 Other ways of determining amplitude transmittance and reflectance of the p<;0g9,1
layered medium…………………………………………………………………..19 0?M:6zf_iv
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 QdC<Sk!G
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 %07SFu#
1.2.1 Matrix calculating method ………………………………………………………22 M@ZI\
1.2.2 Description of optical coating and presentation of calculation results…………..28 KGpA2Nx
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 Lh<).<S
1.2.4 Approximate formulas…………………………………………………………...33 9k=3u;$v
1.2.5 Other recurrent methods…………………………………………………………34 IIqUZJ
1.2.6 The admittance phase plane……………………………………………………...38 abEmRJTmW
1.3 Some common properties of multilayer coatings…………………………………….46 1i ] ^{;]
1.3.1 The relation between the characteristic matrix and spectral coefficients of a M#[{>6>iE
multilayer coating ……………………………………………………………….47 l lsfTrp
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 wvPk:1 wD5
1.3.3 Transmittance and reflectance of the combination of two multilayer 7[wieYj{
subsystems ……………………………………………………………………....54 .>nRzgo
1.4 The multilayer coatings optical properties: impact of variations in the layer !g. ?
parameters……………………………………………………………………………...58 _-F s# f8
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… VD\=`r)nT
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral b_):MQ1{
coefficients: probability assessment method ……………………….…………...63 wa3}S B
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter zv"Z DRW
variations ………………………………………………………………………...66 n-OL0$Xu
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 Xs ?o{]Fe
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69
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1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 !Rt>xD
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 :/Qq@]O>
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the I!?}jo3
central wavelength ………………………………………………………………80 ]g&TKm
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 ! v0LBe4
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 Wxe0IXq3Nn
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ;w[0t}dPl
wavelength ………………………………………………………………………88 vZoaT|3
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1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 (!N| Kl
Chapter 2 O8.5}>gDn.
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 L,@lp
2.1 Synthesis methods based on merit function optimization …………………………...98 bY0|N[ g
2.1.1 Merit function selection …………………………………………………………98 ZQ0F$J)2~
2.1.2 Merit function optimization ……………………………………………………101 DDH:)=;z
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 '08=yqy4N
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 # Vha7
2.2.1 Needle-like variations of the refractive index ………………………………….115 '6Q =#:mc\
2.2.2 The principal idea of the method ………………………………………………119 6i~WcAs
2.2.3 Description of the method ……………………………………………………...124 4 _c qT/
Bibliography …...………………………………………….……………….………..……130
