Basics of OPTICS OF MULTILAYER SYSTEMS }wV rmDh \
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Contents L6^h3*JyD
Preface……………………………………………………………………….………..……….4 :"4~VDu
Chapter 1 Zu,f&smb
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: [ C$ 0HW
THEORY……………………………………………………………………………………….5 ,P}c92;
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 s >5 Z
1.1.1 Layered medium electromagnetic field equations………………………………...5 *q
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1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 F r~xN!
1.1.3 The Fresnel formulas ……………………………………………………………18 o#i {/# oF
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 5j]%@]M$Z
layered medium…………………………………………………………………..19 8/:\iPk0
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 7u zN/LAF
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 U:Y?2$#
1.2.1 Matrix calculating method ………………………………………………………22 zF P Sk ]
1.2.2 Description of optical coating and presentation of calculation results…………..28 /?sV\shy
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 cQ`,:t#[
1.2.4 Approximate formulas…………………………………………………………...33 :O7J9K|
1.2.5 Other recurrent methods…………………………………………………………34 am}zOr\
1.2.6 The admittance phase plane……………………………………………………...38 v,jU9D \
1.3 Some common properties of multilayer coatings…………………………………….46 .NKN2
1.3.1 The relation between the characteristic matrix and spectral coefficients of a DsoF4&>g[B
multilayer coating ……………………………………………………………….47 .eE5pyw+C
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 + '`RJ,K+[
1.3.3 Transmittance and reflectance of the combination of two multilayer @:63OLlrG
subsystems ……………………………………………………………………....54 (< h,R@:
1.4 The multilayer coatings optical properties: impact of variations in the layer 4Xz |HU?
parameters……………………………………………………………………………...58 7% h Mf$KQ
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… c& Dy{B!
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral O%Mh
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coefficients: probability assessment method ……………………….…………...63 bu]bfnYi9
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter _/Hu'9432
variations ………………………………………………………………………...66 O'k"6sBb
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 KnuqU2<
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1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 mU!c;O
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 B-RaAi E@
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 =6Z 1yw7s
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the ;.iy{&$
central wavelength ………………………………………………………………80 W+QI
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1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 }{$@|6)R
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 e. N#+
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ^#nAS2w7U
wavelength ………………………………………………………………………88 0:XmReO+k
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 ||hd (_W8
Chapter 2 #r\uh\Cy
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 8W{ R&Z7aL
2.1 Synthesis methods based on merit function optimization …………………………...98 E:2Or~
2.1.1 Merit function selection …………………………………………………………98 rB4]TQ`c
2.1.2 Merit function optimization ……………………………………………………101 J&Ah52
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 s^cHR1^
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 RW'QU`N[Y
2.2.1 Needle-like variations of the refractive index ………………………………….115 +:b| I'S
2.2.2 The principal idea of the method ………………………………………………119 ?n}L+|
2.2.3 Description of the method ……………………………………………………...124 =vR>KE
Bibliography …...………………………………………….……………….………..……130
