Basics of OPTICS OF MULTILAYER SYSTEMS k5X-*^U=V}
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Contents h.xtkD)Y~
Preface……………………………………………………………………….………..……….4 u&j_;Y !6
Chapter 1 L7y EgYB
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: ~ T=a]V
THEORY……………………………………………………………………………………….5 S;u 2B_/
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5
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1.1.1 Layered medium electromagnetic field equations………………………………...5 BtF7P}:MGf
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 [ mo9?
1.1.3 The Fresnel formulas ……………………………………………………………18 , }^FV~
1.1.4 Other ways of determining amplitude transmittance and reflectance of the j 9f Q V
layered medium…………………………………………………………………..19 m-9ChF: U
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 )|&F Bz;
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ?{1& J9H
1.2.1 Matrix calculating method ………………………………………………………22 LO,:k+&A+
1.2.2 Description of optical coating and presentation of calculation results…………..28 AD7&-=p&w
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 q3u:Tpn4%
1.2.4 Approximate formulas…………………………………………………………...33 Go7 oj'"
1.2.5 Other recurrent methods…………………………………………………………34 cZ ,}1?!
1.2.6 The admittance phase plane……………………………………………………...38 VP }To
1.3 Some common properties of multilayer coatings…………………………………….46 wYd{X 8$
1.3.1 The relation between the characteristic matrix and spectral coefficients of a (I#3![q
multilayer coating ……………………………………………………………….47 O~5*X f
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 \
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1.3.3 Transmittance and reflectance of the combination of two multilayer wd2z=^S~
subsystems ……………………………………………………………………....54 Md*.q^:
1.4 The multilayer coatings optical properties: impact of variations in the layer dSE"G>l8
parameters……………………………………………………………………………...58 NqN}] nu6
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… `>HrO}x^
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 2zk O s:
coefficients: probability assessment method ……………………….…………...63 eY`o=xN
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter p|w0
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variations ………………………………………………………………………...66 V?n=yg
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 @lCyH(c%
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 -T>i5'2)
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 d M;v39
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ;y-sd?pAk
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 8M7Bw[Q1
central wavelength ………………………………………………………………80 dlioa Yc
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 O-n JuZJgX
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 = F46v{la
1.6.1 Common expressions for spectral coefficients of filter-type systems near central HDj260a
wavelength ………………………………………………………………………88 Am"&ApK
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 ,Y7QmbX^
Chapter 2 WIw*//nw
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97
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2.1 Synthesis methods based on merit function optimization …………………………...98 Fm[3Btn
2.1.1 Merit function selection …………………………………………………………98 jaQH1^~l/-
2.1.2 Merit function optimization ……………………………………………………101 r"`7ezun:
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 n]jw!;
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 e. R9:
2.2.1 Needle-like variations of the refractive index ………………………………….115 sE[
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2.2.2 The principal idea of the method ………………………………………………119 Q6xA@"GJ
2.2.3 Description of the method ……………………………………………………...124 >LW}N!IBy
Bibliography …...………………………………………….……………….………..……130
