Basics of OPTICS OF MULTILAYER SYSTEMS HWc=.Qq
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Contents rSa 3u*xB
Preface……………………………………………………………………….………..……….4 EJRwyF5 LK
Chapter 1 toP7b
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Z*oGVr
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THEORY……………………………………………………………………………………….5 3n,F5?! m
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 X0 9& S4
1.1.1 Layered medium electromagnetic field equations………………………………...5 gXF.e.uU
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 Ps TwJLY
1.1.3 The Fresnel formulas ……………………………………………………………18 M N#\P1
1.1.4 Other ways of determining amplitude transmittance and reflectance of the }3QEclZr
layered medium…………………………………………………………………..19 `?La
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 >` t
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 UGAP$_j
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1.2.1 Matrix calculating method ………………………………………………………22 :V >Z|?[*H
1.2.2 Description of optical coating and presentation of calculation results…………..28 uRp-yu[nt%
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 9]|cs
1.2.4 Approximate formulas…………………………………………………………...33 uu'~[SZlL
1.2.5 Other recurrent methods…………………………………………………………34 UD .$C
1.2.6 The admittance phase plane……………………………………………………...38 z Ea3a
1.3 Some common properties of multilayer coatings…………………………………….46 k /*r2 C
1.3.1 The relation between the characteristic matrix and spectral coefficients of a o8Tt|Lxb$8
multilayer coating ……………………………………………………………….47 RU@`+6 j+
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 oo<,h Ov
1.3.3 Transmittance and reflectance of the combination of two multilayer /9i2@#J}W1
subsystems ……………………………………………………………………....54 2r\ f!m'
1.4 The multilayer coatings optical properties: impact of variations in the layer `Up3p24
parameters……………………………………………………………………………...58 0*+i~g,Kl@
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… V+DN< F-
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral _O)~<Sk-*z
coefficients: probability assessment method ……………………….…………...63 dMYDB
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter mhVSZhx|
variations ………………………………………………………………………...66 S\mh{#Lpk
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 j]YS(Y@AY
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 6=iz@C7r
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 *Z<`TB)<X
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 "*<9)vQ6|
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the | tyVC=${
central wavelength ………………………………………………………………80 4s%vx]E
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 ^Qq_|{vynf
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 x a ??OT`(
1.6.1 Common expressions for spectral coefficients of filter-type systems near central M"1}"ex#
wavelength ………………………………………………………………………88 tpU[KR[-
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 K&\xb T
Chapter 2 ZI}7#K<9X
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 #T&''a
2.1 Synthesis methods based on merit function optimization …………………………...98 ]~G wZB'M
2.1.1 Merit function selection …………………………………………………………98 `gx_+m^
2.1.2 Merit function optimization ……………………………………………………101 ~CQsv `
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 7$Jb"s
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 >6Ku Z_
2.2.1 Needle-like variations of the refractive index ………………………………….115
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2.2.2 The principal idea of the method ………………………………………………119 IyOb0WiEj
2.2.3 Description of the method ……………………………………………………...124 }f/ 1
Bibliography …...………………………………………….……………….………..……130
