Basics of OPTICS OF MULTILAYER SYSTEMS g :B4zlKG
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Contents 3H< %\SYp
Preface……………………………………………………………………….………..……….4 u ,:hT]
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Chapter 1 y5c\ \ e
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 4dN <B U
THEORY……………………………………………………………………………………….5 ->OVNmCB`+
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 T9J&^I
1.1.1 Layered medium electromagnetic field equations………………………………...5 A[@koLCL
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 `e;r$Vpd_
1.1.3 The Fresnel formulas ……………………………………………………………18 t%e<]2 -8
1.1.4 Other ways of determining amplitude transmittance and reflectance of the %H{;wVjK
layered medium…………………………………………………………………..19 du'`&{ _/
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 . * `]x
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 'Qg!ww 7O
1.2.1 Matrix calculating method ………………………………………………………22 5~UW=
1.2.2 Description of optical coating and presentation of calculation results…………..28 IDf\! QG x
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ) RT Wt`
1.2.4 Approximate formulas…………………………………………………………...33 |RD )pvVM
1.2.5 Other recurrent methods…………………………………………………………34 bb jEQby
1.2.6 The admittance phase plane……………………………………………………...38 8G$ BQ
1.3 Some common properties of multilayer coatings…………………………………….46 8JQ\eF$ma
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 7l/ZRz }1
multilayer coating ……………………………………………………………….47 ZX o;E
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 "doiD=b
1.3.3 Transmittance and reflectance of the combination of two multilayer 0=U|7%dOL
subsystems ……………………………………………………………………....54 &R bP N^
1.4 The multilayer coatings optical properties: impact of variations in the layer KkTE -$ -
parameters……………………………………………………………………………...58 u^MRKLn
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… qe(gKKA%q
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral /9gn)q2f(
coefficients: probability assessment method ……………………….…………...63 }pf|GdL
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter vm;%713#1
variations ………………………………………………………………………...66 }=\?]9`
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ?+yM3As9_V
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 rZ n@i
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 )HI\T];
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 nql9SQ'\\
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the .Mb0++% W
central wavelength ………………………………………………………………80 {9{ X\|
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 /TPtPq<7:#
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 (_@]-
1.6.1 Common expressions for spectral coefficients of filter-type systems near central :JX2GRL4
wavelength ………………………………………………………………………88 p /nATvh$
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 o j{CNa
Chapter 2 479X5Cl
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 R{Zd ]HT
2.1 Synthesis methods based on merit function optimization …………………………...98 \\13n 4fAv
2.1.1 Merit function selection …………………………………………………………98 9,JM$ Y
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2.1.2 Merit function optimization ……………………………………………………101 mj9sX^$ dE
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 Ua:@,};
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 ^$%
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2.2.1 Needle-like variations of the refractive index ………………………………….115 t_ !p({
2.2.2 The principal idea of the method ………………………………………………119 /
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2.2.3 Description of the method ……………………………………………………...124 >W >Ei(f
Bibliography …...………………………………………….……………….………..……130
