Basics of OPTICS OF MULTILAYER SYSTEMS Bs[nV}c>>
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Contents F!J J6d53y
Preface……………………………………………………………………….………..……….4 jk$86ma!
Chapter 1 zrs<#8!Y_!
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: D3`}4 A
THEORY……………………………………………………………………………………….5 n-$VUo
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ba ee?6
1.1.1 Layered medium electromagnetic field equations………………………………...5 vv6?V# {
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 EeB ]X24
1.1.3 The Fresnel formulas ……………………………………………………………18 Ur^j$B}
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 2#3^skj
layered medium…………………………………………………………………..19 2jl)mL
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 9IA$z\<<w
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 A3HF,EG
1.2.1 Matrix calculating method ………………………………………………………22 )t:7_M3
1.2.2 Description of optical coating and presentation of calculation results…………..28 n 6{2]&sd
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 rz%<AF Z
1.2.4 Approximate formulas…………………………………………………………...33 ZQ3_y $
1.2.5 Other recurrent methods…………………………………………………………34 'Hw4j:pS
1.2.6 The admittance phase plane……………………………………………………...38 Q.+|xwz
1.3 Some common properties of multilayer coatings…………………………………….46 m#f{]+6U
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ` 2 `fiKm
multilayer coating ……………………………………………………………….47 T$KF<
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1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 Q/ZkW
1.3.3 Transmittance and reflectance of the combination of two multilayer Q6IQV0{ p
subsystems ……………………………………………………………………....54 ;gMgj$mI
1.4 The multilayer coatings optical properties: impact of variations in the layer ?7jg(`Yh
parameters……………………………………………………………………………...58 H2;X
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… M\oTZ@
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 09 S6#; N&
coefficients: probability assessment method ……………………….…………...63 e}0:"R%E
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter aE|OTm+@9;
variations ………………………………………………………………………...66 v Mla'5|l
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 Ue*C>F
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 )zq.4
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 K=?VDN
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Z{ R[Wx
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the ]3B %8
central wavelength ………………………………………………………………80 |.P/:e9
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 w~Ff%p@9
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 |E@djosyC
1.6.1 Common expressions for spectral coefficients of filter-type systems near central Xf
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wavelength ………………………………………………………………………88 DNkWOY#{
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 ?":'O#E
Chapter 2 !:CJPM6j3
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ]XA4;7
2.1 Synthesis methods based on merit function optimization …………………………...98 % UZVb V
2.1.1 Merit function selection …………………………………………………………98 ir16
2.1.2 Merit function optimization ……………………………………………………101 xd-X WXc
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 ZH ,4 oF
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 &v! WVa?
2.2.1 Needle-like variations of the refractive index ………………………………….115 &|Pu-A"5~
2.2.2 The principal idea of the method ………………………………………………119 !k&Q 5s:
2.2.3 Description of the method ……………………………………………………...124 nkDy!"K
Bibliography …...………………………………………….……………….………..……130
