Basics of OPTICS OF MULTILAYER SYSTEMS }WF6w +
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Contents NE3/>5
Preface……………………………………………………………………….………..……….4 ,mK UCG
Chapter 1 ey\(*Tu9
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: " Lh XR
THEORY……………………………………………………………………………………….5 ha9 d z
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 6;Mv)|FJF
1.1.1 Layered medium electromagnetic field equations………………………………...5 Tz7 R:S.
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 4 XGE w9`3
1.1.3 The Fresnel formulas ……………………………………………………………18 U.<a d
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 6 \ %#=GG
layered medium…………………………………………………………………..19 @[n% q.|VB
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 B*^QTJ
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 5 RY rAzQo
1.2.1 Matrix calculating method ………………………………………………………22 3ZvQUH/{W
1.2.2 Description of optical coating and presentation of calculation results…………..28 Lo" s12fr
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 L rV|Y~
1.2.4 Approximate formulas…………………………………………………………...33 =S\pI
1.2.5 Other recurrent methods…………………………………………………………34 L_!} R
1.2.6 The admittance phase plane……………………………………………………...38 Xj:\B] v]
1.3 Some common properties of multilayer coatings…………………………………….46 P_gai7Xg
1.3.1 The relation between the characteristic matrix and spectral coefficients of a <u
multilayer coating ……………………………………………………………….47 s##XC^; p[
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 |1T[P)Q
1.3.3 Transmittance and reflectance of the combination of two multilayer q-e3 ;$
subsystems ……………………………………………………………………....54 Tcq@Q$H
1.4 The multilayer coatings optical properties: impact of variations in the layer ^n\g,
parameters……………………………………………………………………………...58 #O7phjzgD
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… U {HBmSR
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral B5]nP .R
coefficients: probability assessment method ……………………….…………...63 Nxm '*
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter -?ebkHe
variations ………………………………………………………………………...66 jYW -}2L
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 mEV@ ~){
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 ?nf4K/IjZ!
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 +@\=v}:
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1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 s6I/%R3
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the y"ms;w'z
central wavelength ………………………………………………………………80 PxJvE*6^H
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 IZxr;\dq6
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 =AeOki e
1.6.1 Common expressions for spectral coefficients of filter-type systems near central *(n u0
wavelength ………………………………………………………………………88 [ _&z+
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 [Y6ZcO/-i
Chapter 2 qn `
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SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 tSaD =# v
2.1 Synthesis methods based on merit function optimization …………………………...98 n5?7iU&JIo
2.1.1 Merit function selection …………………………………………………………98 \}7xgQ>oV
2.1.2 Merit function optimization ……………………………………………………101 - 4S4I
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 /ASpAl[J
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 "D
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2.2.1 Needle-like variations of the refractive index ………………………………….115 Q7?[@2HN
2.2.2 The principal idea of the method ………………………………………………119 0JLQ.%_
2.2.3 Description of the method ……………………………………………………...124 Aj@t*3
Bibliography …...………………………………………….……………….………..……130
