Basics of OPTICS OF MULTILAYER SYSTEMS 9Y IM'q>`v
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Contents OE_XCZ!5P
Preface……………………………………………………………………….………..……….4 [')m|u~FS4
Chapter 1 `5cKA;j>b
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: !"HO]3-o
THEORY……………………………………………………………………………………….5 h58`X H
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 @Owb?(6?
1.1.1 Layered medium electromagnetic field equations………………………………...5 .zA^)qgL
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 sT 3^hY7
1.1.3 The Fresnel formulas ……………………………………………………………18 zT =Ho
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 4ni <E*
layered medium…………………………………………………………………..19 [;4 g
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 f2Klt6"9
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 aktU$Wbwl
1.2.1 Matrix calculating method ………………………………………………………22 NPhhD&W_
1.2.2 Description of optical coating and presentation of calculation results…………..28 rn/ / %
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 hm84Aq= f
1.2.4 Approximate formulas…………………………………………………………...33 XX7{-Y y
1.2.5 Other recurrent methods…………………………………………………………34 5gH1.7i b
1.2.6 The admittance phase plane……………………………………………………...38 #a/5SZP
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1.3 Some common properties of multilayer coatings…………………………………….46 a]JYDq`,3
1.3.1 The relation between the characteristic matrix and spectral coefficients of a aE`c%T):`
multilayer coating ……………………………………………………………….47 Tzt8h\Q ^z
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 `slL %j^"
1.3.3 Transmittance and reflectance of the combination of two multilayer `YFtL
subsystems ……………………………………………………………………....54 9_q#W '/X
1.4 The multilayer coatings optical properties: impact of variations in the layer rXmn7;B}g
parameters……………………………………………………………………………...58 PlU * X8
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… Pu7_
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1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral _Zp}?b5Q
coefficients: probability assessment method ……………………….…………...63 *rM^;4Zt
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter j@W. &- _
variations ………………………………………………………………………...66 A_XY 'z 1
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 r54&XE]O
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 @oNH@a
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1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 Od ) Uv1
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ^!<U_;+
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the JmF l|n/H
central wavelength ………………………………………………………………80 s [M?as
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 Vi>,kF.f V
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 8UXjm_B^ '
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 3C?f(J}
wavelength ………………………………………………………………………88 6.CbAi3Z
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 ;+e }aER&9
Chapter 2 sd ,J3
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 (_niMQtF}
2.1 Synthesis methods based on merit function optimization …………………………...98 8| ):`u
2.1.1 Merit function selection …………………………………………………………98 wg7V-+@i
2.1.2 Merit function optimization ……………………………………………………101 wF
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2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 -|J"s$yO4
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 D8inB+ /-
2.2.1 Needle-like variations of the refractive index ………………………………….115 ujDd1Bxf?
2.2.2 The principal idea of the method ………………………………………………119 9i'jj N
2.2.3 Description of the method ……………………………………………………...124 v/Py "hQ
Bibliography …...………………………………………….……………….………..……130
