Basics of OPTICS OF MULTILAYER SYSTEMS jMvWS71
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Contents {VPF2J FB[
Preface……………………………………………………………………….………..……….4 sILkTzs w
Chapter 1 BiQ7r=Dd.
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: R30{/KK
THEORY……………………………………………………………………………………….5 {[
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1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 $ 4\,a^
1.1.1 Layered medium electromagnetic field equations………………………………...5 OYEL` !Q
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 *OT6)]|k
1.1.3 The Fresnel formulas ……………………………………………………………18 > !thxG/_
1.1.4 Other ways of determining amplitude transmittance and reflectance of the zice0({iJ
layered medium…………………………………………………………………..19 ei>8{v&g
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 xG05OqKpE
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 gu[ 3L
1.2.1 Matrix calculating method ………………………………………………………22 & >I4-D[
1.2.2 Description of optical coating and presentation of calculation results…………..28 g_\U-pzr
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 `T x1?]
1.2.4 Approximate formulas…………………………………………………………...33 lZ5 lmsCU
1.2.5 Other recurrent methods…………………………………………………………34 x(nWyVB
1.2.6 The admittance phase plane……………………………………………………...38 wD-(3ZVd4
1.3 Some common properties of multilayer coatings…………………………………….46 s mLX NO
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ewYZ} "o
multilayer coating ……………………………………………………………….47 %,-oxeM1u
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 E"e < 9
1.3.3 Transmittance and reflectance of the combination of two multilayer IiG~l+V~
subsystems ……………………………………………………………………....54 }|
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1.4 The multilayer coatings optical properties: impact of variations in the layer "=0#pH1o
parameters……………………………………………………………………………...58 MXW CY i
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 9 |Cu 2
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral b$kCy Og
coefficients: probability assessment method ……………………….…………...63 Tti]H9g_
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter IG?044Y
variations ………………………………………………………………………...66 Re3vW re
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 '"{ IV
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 F2yc&mXyk
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 Y4]USU!PA
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 S&jZYq**
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the A ^YHtJ
central wavelength ………………………………………………………………80 <QGf9{ m
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 v%(2l|M
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 +~Ni7Dp]
1.6.1 Common expressions for spectral coefficients of filter-type systems near central F .)b`:g
wavelength ………………………………………………………………………88 P8jXruZr
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 #M;Cw}p W
Chapter 2 }R#YO $J7
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 =k#SQ/@
2.1 Synthesis methods based on merit function optimization …………………………...98 +;7Rz_.6f
2.1.1 Merit function selection …………………………………………………………98 [b d fp
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2.1.2 Merit function optimization ……………………………………………………101 w) o ^?9T
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 jX5lwP
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2.2 Synthesis method based on the needle-like variations of the refractive index ……114 @G 0k+
2.2.1 Needle-like variations of the refractive index ………………………………….115 UxZT&x3=)}
2.2.2 The principal idea of the method ………………………………………………119 Vk/CV2
2.2.3 Description of the method ……………………………………………………...124 ]2kgG*^n"
Bibliography …...………………………………………….……………….………..……130
