Basics of OPTICS OF MULTILAYER SYSTEMS Hbd>sS
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Contents ;FRUB@ :
Preface……………………………………………………………………….………..……….4 isQOt *
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Chapter 1 8T6NG!/
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 5g/, VM e
THEORY……………………………………………………………………………………….5 pt,L
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ^2+ Vt=*
1.1.1 Layered medium electromagnetic field equations………………………………...5 6$'*MpYF4
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 k0K$OX*:e
1.1.3 The Fresnel formulas ……………………………………………………………18 '?L^Fa_H
1.1.4 Other ways of determining amplitude transmittance and reflectance of the MGt>:&s(]
layered medium…………………………………………………………………..19 UeLO `Ug0;
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 EwA*
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 [|=M<>?[
1.2.1 Matrix calculating method ………………………………………………………22 kP ,8[r
1.2.2 Description of optical coating and presentation of calculation results…………..28 ^-[
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1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 m m`#v
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1.2.4 Approximate formulas…………………………………………………………...33 Zis,% XY
1.2.5 Other recurrent methods…………………………………………………………34 emK*g<]
1.2.6 The admittance phase plane……………………………………………………...38 )H{1 Xjh -
1.3 Some common properties of multilayer coatings…………………………………….46 t^FE]$,
1.3.1 The relation between the characteristic matrix and spectral coefficients of a NR1M W^R
multilayer coating ……………………………………………………………….47 Ez5t)l-
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ;p`to"6IFD
1.3.3 Transmittance and reflectance of the combination of two multilayer 'ET];iZ2
subsystems ……………………………………………………………………....54 kwc
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1.4 The multilayer coatings optical properties: impact of variations in the layer X )tH23
parameters……………………………………………………………………………...58 M K)}zjw
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… C8>
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1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral $5)#L$!,]
coefficients: probability assessment method ……………………….…………...63 ng!cK<p
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter dX@ic,?
variations ………………………………………………………………………...66 )Ak #1w&q
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 n+ebi>}P
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 C|TQf8
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 e8^/S^ =&d
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 rSJ!vQo
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1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the T :d+Q z\
central wavelength ………………………………………………………………80 O& Sk}^
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 &zX W
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 EHm* ~Sd
1.6.1 Common expressions for spectral coefficients of filter-type systems near central hQm=9gS
wavelength ………………………………………………………………………88 `v``}8tm
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 $Z#~wsw
Chapter 2 M?" 4 {
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 @ tm2Y%Y!
2.1 Synthesis methods based on merit function optimization …………………………...98 j;]I
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2.1.1 Merit function selection …………………………………………………………98 "I/05k K
2.1.2 Merit function optimization ……………………………………………………101 %"A8Af**I
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 G&{yM2:E
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 l! 88|~
2.2.1 Needle-like variations of the refractive index ………………………………….115 jc9 C|r
2.2.2 The principal idea of the method ………………………………………………119 .eD&UQ
2.2.3 Description of the method ……………………………………………………...124 oOpEpQ}}q
Bibliography …...………………………………………….……………….………..……130
