Basics of OPTICS OF MULTILAYER SYSTEMS B[
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Contents h0$ \JXk
Preface……………………………………………………………………….………..……….4 vQy<%[QO
Chapter 1 eb6y-TwY
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 0]$-}AYM
THEORY……………………………………………………………………………………….5 -/*VR$c
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 g:U
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1.1.1 Layered medium electromagnetic field equations………………………………...5 SJ:Teab
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 Ex@}x# 3
1.1.3 The Fresnel formulas ……………………………………………………………18 8DbP$Wwi
1.1.4 Other ways of determining amplitude transmittance and reflectance of the (v:8p!QN
layered medium…………………………………………………………………..19 Qw |y%Td8r
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 PL!dkaD^y>
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 Tu,nX'q]m
1.2.1 Matrix calculating method ………………………………………………………22 'YYT1H)
1.2.2 Description of optical coating and presentation of calculation results…………..28 4!-R&<TLve
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 BO6XY90(
1.2.4 Approximate formulas…………………………………………………………...33 Gl 6:2
1.2.5 Other recurrent methods…………………………………………………………34 9>vB,8
1.2.6 The admittance phase plane……………………………………………………...38 U!RIeC
1.3 Some common properties of multilayer coatings…………………………………….46 JE*?O*&|Q
1.3.1 The relation between the characteristic matrix and spectral coefficients of a m5HMtoU
multilayer coating ……………………………………………………………….47 gp
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1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 /q7$"wP
1.3.3 Transmittance and reflectance of the combination of two multilayer xo n^=Wo;
subsystems ……………………………………………………………………....54 EU'rdG*t/R
1.4 The multilayer coatings optical properties: impact of variations in the layer xgM\6e
parameters……………………………………………………………………………...58 [ :Sl~
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ]g F=I5jn]
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral -~H
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coefficients: probability assessment method ……………………….…………...63 / T_v8 {D
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 9y} J|z
variations ………………………………………………………………………...66 :b _hF
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 }*aj &
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 +bb-uoZf
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 i~M-V=Zg
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 -yu $Mm
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the hAP2DeT$
central wavelength ………………………………………………………………80 >%n6n! "
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 "+
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1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 m")p]B&i=
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ,W/Y@Sc C
wavelength ………………………………………………………………………88 7qWa>f X
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 d>r ]xXB6
Chapter 2 L}A2$@
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 <A`SC;k\u
2.1 Synthesis methods based on merit function optimization …………………………...98 }>3jHWxLc
2.1.1 Merit function selection …………………………………………………………98 iuM ,a F
2.1.2 Merit function optimization ……………………………………………………101 pE0@m-p
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 Imyw-8/;
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 (hRg0Z=
2.2.1 Needle-like variations of the refractive index ………………………………….115 2 uF'\y
2.2.2 The principal idea of the method ………………………………………………119 8)83j6VF
2.2.3 Description of the method ……………………………………………………...124 ec*Ni|`Z'
Bibliography …...………………………………………….……………….………..……130
