Basics of OPTICS OF MULTILAYER SYSTEMS M@pF[J/
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Contents xaq/L:I<
Preface……………………………………………………………………….………..……….4 UnZc9 6
Chapter 1 dL1{ i ,M
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: $/E{3aT@F2
THEORY……………………………………………………………………………………….5 zP$ "6~.
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 Q[T)jo,j%
1.1.1 Layered medium electromagnetic field equations………………………………...5 iqWkhJphv
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 uy|]@|J
1.1.3 The Fresnel formulas ……………………………………………………………18 BG1hk!
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 0OtUb:8LX
layered medium…………………………………………………………………..19 Izfq`zS+\s
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 #zb6 7mg~
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 1 a%1C`d
1.2.1 Matrix calculating method ………………………………………………………22 ftV~!r
1.2.2 Description of optical coating and presentation of calculation results…………..28 oRmA\R*
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 [a#*%H{OC
1.2.4 Approximate formulas…………………………………………………………...33 K j-zEl
1.2.5 Other recurrent methods…………………………………………………………34 1CUI6@Cz)
1.2.6 The admittance phase plane……………………………………………………...38 &~=d;llkT
1.3 Some common properties of multilayer coatings…………………………………….46 =< P$mFP2*
1.3.1 The relation between the characteristic matrix and spectral coefficients of a *4Z! 5iOs
multilayer coating ……………………………………………………………….47 :p $Q3
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 _|CO nm
1.3.3 Transmittance and reflectance of the combination of two multilayer w )> /fG|;
subsystems ……………………………………………………………………....54
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1.4 The multilayer coatings optical properties: impact of variations in the layer 8'Q&F W3"
parameters……………………………………………………………………………...58 GCxmqoQ
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… q9L q+4\
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral _6aI>b#yL
coefficients: probability assessment method ……………………….…………...63 ) qD V3
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter OHH\sA
variations ………………………………………………………………………...66 WvcPOt8Bp>
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 4y,pzQ8a
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 {@ tO9pc`8
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 ]C-a[
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 LP? *RrM
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the b,#? LdQ%
central wavelength ………………………………………………………………80 :M@#.
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 Ye/Y<Ij
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 ;F /w&u.n
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 0.^67'
wavelength ………………………………………………………………………88 7K24sHw;%
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 UrdSo"%
Chapter 2 _u#r;h[
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 )jw!, "_4
2.1 Synthesis methods based on merit function optimization …………………………...98 bZgFea_>i
2.1.1 Merit function selection …………………………………………………………98 r
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2.1.2 Merit function optimization ……………………………………………………101 V~ QOl=`K:
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 o"qG'\ x
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 07vzVsQ}p
2.2.1 Needle-like variations of the refractive index ………………………………….115 #*+$o<Q]9
2.2.2 The principal idea of the method ………………………………………………119 kM7 6?M
2.2.3 Description of the method ……………………………………………………...124 Ge*N%=MX 8
Bibliography …...………………………………………….……………….………..……130
