Basics of OPTICS OF MULTILAYER SYSTEMS ? 0} M' L
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Contents JFJ_
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Preface……………………………………………………………………….………..……….4 "RkbT O
Chapter 1 4GiHp7Y&A
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: e m@bxyMm
THEORY……………………………………………………………………………………….5 BJ
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1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 FRSz3^A w
1.1.1 Layered medium electromagnetic field equations………………………………...5 Zgw;AY.R>
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 wU9H=w^
1.1.3 The Fresnel formulas ……………………………………………………………18 N`G*
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the { hXIP`
layered medium…………………………………………………………………..19 tiTJ.uz6
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 "<#-#j
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 &V.\Svm8]
1.2.1 Matrix calculating method ………………………………………………………22 $RFy9(>
1.2.2 Description of optical coating and presentation of calculation results…………..28 <;O - N=
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ^tw\F 7
1.2.4 Approximate formulas…………………………………………………………...33 o!\Q,
1.2.5 Other recurrent methods…………………………………………………………34 L7gZ4Hu=`
1.2.6 The admittance phase plane……………………………………………………...38 x D:t$~
1.3 Some common properties of multilayer coatings…………………………………….46 ? ^8CD.|
1.3.1 The relation between the characteristic matrix and spectral coefficients of a c7E|GZ2Hc
multilayer coating ……………………………………………………………….47 4;rt|X77
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 y 4V~fg;
1.3.3 Transmittance and reflectance of the combination of two multilayer \z~wm&
subsystems ……………………………………………………………………....54 J'Z!`R|
1.4 The multilayer coatings optical properties: impact of variations in the layer Q)n6.%V/e
parameters……………………………………………………………………………...58 g!#M0
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… Y<x;-8)*
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ^:M al[IR
coefficients: probability assessment method ……………………….…………...63 } !& Vc f
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter ) &nfV5@"
variations ………………………………………………………………………...66 PNSV?RT*pG
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ;fdROI
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 l/wdu(
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 d*Wg>8|
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76
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1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the o'Uaz*-po
central wavelength ………………………………………………………………80 >Q`\|m}x)Q
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 +1te 8P*
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 jMpV c
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1.6.1 Common expressions for spectral coefficients of filter-type systems near central Hv>16W$_
wavelength ………………………………………………………………………88 &| d6
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 RF#S=X 6
Chapter 2 K KCzq
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SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 dR^7d _!
2.1 Synthesis methods based on merit function optimization …………………………...98 3 7F&s
2.1.1 Merit function selection …………………………………………………………98 vC#
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2.1.2 Merit function optimization ……………………………………………………101 Fm| h3.`V
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 V J8 " Q
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 "1- gMob
2.2.1 Needle-like variations of the refractive index ………………………………….115 MnQ4,+ji-
2.2.2 The principal idea of the method ………………………………………………119 zL%ruWNG
2.2.3 Description of the method ……………………………………………………...124 LdPA`oI3j
Bibliography …...………………………………………….……………….………..……130
