Basics of OPTICS OF MULTILAYER SYSTEMS d-<y'GYw
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Contents IX*S:7S[
Preface……………………………………………………………………….………..……….4 CU;nrd "
Chapter 1 r:5Ve&~
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: g
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THEORY……………………………………………………………………………………….5 w.Vynb
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 &v-V_.0(H
1.1.1 Layered medium electromagnetic field equations………………………………...5 F=om^6G%X5
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 >YBpB,WND
1.1.3 The Fresnel formulas ……………………………………………………………18 Z
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the |Hm'.-
layered medium…………………………………………………………………..19 >a7(A#3@d
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 [4hO3):F
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 /kA19E4
1.2.1 Matrix calculating method ………………………………………………………22 U>+~.|'V9
1.2.2 Description of optical coating and presentation of calculation results…………..28 ;a3nH
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 BXo|CITso
1.2.4 Approximate formulas…………………………………………………………...33 WDGGT.h G
1.2.5 Other recurrent methods…………………………………………………………34 e8 7-
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1.2.6 The admittance phase plane……………………………………………………...38 n2{{S(N
1.3 Some common properties of multilayer coatings…………………………………….46 N
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1.3.1 The relation between the characteristic matrix and spectral coefficients of a 1(i>Vt.+
multilayer coating ……………………………………………………………….47 Vrj1$NL%
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 euhZ4+
1.3.3 Transmittance and reflectance of the combination of two multilayer 8-"5|pNc
subsystems ……………………………………………………………………....54 NN 6KLbC(
1.4 The multilayer coatings optical properties: impact of variations in the layer E.`dk.
parameters……………………………………………………………………………...58 $uw+^(ut
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… LZ)m](+M
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral l>UUaf|O
coefficients: probability assessment method ……………………….…………...63 e^NEj1
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter eM+;x\jo?
variations ………………………………………………………………………...66 D w=Z_+J
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 H 1D;:n
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 ?GNF=#=M
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 z>33O5U
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 "-n%874IT
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the EO&ACG
central wavelength ………………………………………………………………80 H~|%vjH
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 eqZ+no
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 eAsX?iaH
1.6.1 Common expressions for spectral coefficients of filter-type systems near central -t6R!ZI
wavelength ………………………………………………………………………88 jN%p5nZ^EK
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 2rCY&8
Chapter 2 KKjxg7{K
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ^dnz=FB
2.1 Synthesis methods based on merit function optimization …………………………...98 8RAeJ~e
2.1.1 Merit function selection …………………………………………………………98 H@MFj>~
2.1.2 Merit function optimization ……………………………………………………101 cN WcNMm
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 N4H+_g|
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 Dw`m>'J0
2.2.1 Needle-like variations of the refractive index ………………………………….115 q Iy^N:C2'
2.2.2 The principal idea of the method ………………………………………………119 d%lHa??/h
2.2.3 Description of the method ……………………………………………………...124 sk
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Bibliography …...………………………………………….……………….………..……130