Basics of OPTICS OF MULTILAYER SYSTEMS A[juzOn\
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Contents yVPkJ
Preface……………………………………………………………………….………..……….4 7#Qa/[? D
Chapter 1 1m-"v:fT5D
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: _`!@
THEORY……………………………………………………………………………………….5 S fE^'G\
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 UV>^[ /^O
1.1.1 Layered medium electromagnetic field equations………………………………...5 C~M~2@Iori
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 A%u@xL,_
1.1.3 The Fresnel formulas ……………………………………………………………18 ]y 6`9p
1.1.4 Other ways of determining amplitude transmittance and reflectance of the M%7H-^{
layered medium…………………………………………………………………..19 \~xOdqF/
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ?v2OoNQ
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 |Iy55~hK`
1.2.1 Matrix calculating method ………………………………………………………22 ]rM{\En
1.2.2 Description of optical coating and presentation of calculation results…………..28 w $7J)ngA9
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 an3H Kfv
1.2.4 Approximate formulas…………………………………………………………...33 ?MhRdY
1.2.5 Other recurrent methods…………………………………………………………34 Hk-)fl#dr
1.2.6 The admittance phase plane……………………………………………………...38 3 mn0
1.3 Some common properties of multilayer coatings…………………………………….46 "r0z( j
1.3.1 The relation between the characteristic matrix and spectral coefficients of a )@Yp;=l
multilayer coating ……………………………………………………………….47 :V2j'R ,
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ,eRl
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1.3.3 Transmittance and reflectance of the combination of two multilayer 5| 2B@6-
subsystems ……………………………………………………………………....54 w
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1.4 The multilayer coatings optical properties: impact of variations in the layer 96F:%|yG
parameters……………………………………………………………………………...58 o}5:vi]
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 4 'rWy~`
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1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral fmie,[
coefficients: probability assessment method ……………………….…………...63
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter c1/G yq
variations ………………………………………………………………………...66 uAyj##H
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 mM~!68lR
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 1$i dF
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 O#A 1)~
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 bWv6gOPR3
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the -mZo`
central wavelength ………………………………………………………………80 q 9qmz [
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 CTtF=\
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 u*Oz1~
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 'O`jV0aa'
wavelength ………………………………………………………………………88 ]^gD@].
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 mU_?}}aK,
Chapter 2 h_ ]3L/
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 'xb|5_D
2.1 Synthesis methods based on merit function optimization …………………………...98 lf|e8k U\f
2.1.1 Merit function selection …………………………………………………………98 ,?B.+4CW\E
2.1.2 Merit function optimization ……………………………………………………101 lGPC)Hu{`
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 ]T^m>v)X
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 /+RNPQO O
2.2.1 Needle-like variations of the refractive index ………………………………….115 3HbHl?-UNU
2.2.2 The principal idea of the method ………………………………………………119 ~1Tz[\H# R
2.2.3 Description of the method ……………………………………………………...124 ao{>.b
Bibliography …...………………………………………….……………….………..……130
