Basics of OPTICS OF MULTILAYER SYSTEMS Bxv8RB
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Contents Kpg: yrc['
Preface……………………………………………………………………….………..……….4 EUwQIA2c8N
Chapter 1 #?m {YT{P
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 0>Fqx{!heq
THEORY……………………………………………………………………………………….5 sx-F8:Qa
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 2z-$zB<vyw
1.1.1 Layered medium electromagnetic field equations………………………………...5 .Z5[_'T
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 },6*Y*?{
1.1.3 The Fresnel formulas ……………………………………………………………18 37K U~9-A
1.1.4 Other ways of determining amplitude transmittance and reflectance of the v*L
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layered medium…………………………………………………………………..19 pF='jj51
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 _$(GRNRYK
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 =>YvA>izE
1.2.1 Matrix calculating method ………………………………………………………22 #>q[oie1e
1.2.2 Description of optical coating and presentation of calculation results…………..28 X,Zd=
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 r{V.jZ%p'Z
1.2.4 Approximate formulas…………………………………………………………...33 Opry`} 5h
1.2.5 Other recurrent methods…………………………………………………………34 E$T(Qu<-
1.2.6 The admittance phase plane……………………………………………………...38 "%kG RHq
1.3 Some common properties of multilayer coatings…………………………………….46 s]bPV,"p
1.3.1 The relation between the characteristic matrix and spectral coefficients of a yfq>,
multilayer coating ……………………………………………………………….47 )KE_t^$
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 b_ JWnh
1.3.3 Transmittance and reflectance of the combination of two multilayer h,hL?imD
subsystems ……………………………………………………………………....54 ]Wy.R6
1.4 The multilayer coatings optical properties: impact of variations in the layer xOM_R2Md
parameters……………………………………………………………………………...58 9} XT'+`y
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… xPvR Q
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral % 1Jd ^[W
coefficients: probability assessment method ……………………….…………...63 xSOoIsL[
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter uTw| Q{ f
variations ………………………………………………………………………...66 =~$U^IsWA
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 Z^+a*^w~{
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 tnL."^%A2I
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 4ac1m,Jlt
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 )rbc;{.
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the i;avwP<0
central wavelength ………………………………………………………………80 y&3TQ]f\
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 :H3(w| T/
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 .h!9wGi`
1.6.1 Common expressions for spectral coefficients of filter-type systems near central X }?ESjZJ
wavelength ………………………………………………………………………88 @>CG3`?}
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 )BB%4=u@~.
Chapter 2 xBt<Yt"
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 +/}_%Cf8
2.1 Synthesis methods based on merit function optimization …………………………...98 Fu
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2.1.1 Merit function selection …………………………………………………………98 L77EbP`P
2.1.2 Merit function optimization ……………………………………………………101 `%%?zgY
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 2|
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2.2 Synthesis method based on the needle-like variations of the refractive index ……114 [[&)cbv
2.2.1 Needle-like variations of the refractive index ………………………………….115 _&K\D
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2.2.2 The principal idea of the method ………………………………………………119 "& Ff[ O*
2.2.3 Description of the method ……………………………………………………...124 Lv ^a+'
Bibliography …...………………………………………….……………….………..……130
