Basics of OPTICS OF MULTILAYER SYSTEMS smWA~Aq
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Contents L:' Y#VI{
Preface……………………………………………………………………….………..……….4 Bw{W -&$o
Chapter 1 ^%\p; yhL
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 8y+Gvk:
THEORY……………………………………………………………………………………….5 ~L?p/3m
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 L*FnFRhU
1.1.1 Layered medium electromagnetic field equations………………………………...5 (L~3nN;r r
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 \Ud2]^D=
1.1.3 The Fresnel formulas ……………………………………………………………18 y_J{+
1.1.4 Other ways of determining amplitude transmittance and reflectance of the Jq.26I=
layered medium…………………………………………………………………..19 S:DB%V3
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 dAga(<K
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 N["(ZSS
1.2.1 Matrix calculating method ………………………………………………………22 h7o{l7`)
1.2.2 Description of optical coating and presentation of calculation results…………..28 lMP|$C
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 + J_W }G
1.2.4 Approximate formulas…………………………………………………………...33 CMTy(Z8_)
1.2.5 Other recurrent methods…………………………………………………………34 EQ7cK63
1.2.6 The admittance phase plane……………………………………………………...38 Ef7 Kx49I
1.3 Some common properties of multilayer coatings…………………………………….46 QO|ODW+D
1.3.1 The relation between the characteristic matrix and spectral coefficients of a O" T 1=4
multilayer coating ……………………………………………………………….47 I</Nmgf
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 !3Pl]S~6!
1.3.3 Transmittance and reflectance of the combination of two multilayer K5k,47"
subsystems ……………………………………………………………………....54 B{zIW'L d
1.4 The multilayer coatings optical properties: impact of variations in the layer Q>||HtF$ A
parameters……………………………………………………………………………...58 c-gaK\u}j}
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… Wlt shZo
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 9#_49euy|P
coefficients: probability assessment method ……………………….…………...63 \)r#?qn4z;
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter p|W:;(
variations ………………………………………………………………………...66 Xs t&QKU
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 H#6J7\xcS
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 #He:p$43
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 yQ&;#`!'
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 23Eg|Xk
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the W+Iln`L
central wavelength ………………………………………………………………80 &(wik#S
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 xXLKL6F(\
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 78 3a Z8
1.6.1 Common expressions for spectral coefficients of filter-type systems near central }_u )3X.O
wavelength ………………………………………………………………………88 SR8[
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1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 w/ZV9"BhE
Chapter 2 GT' %HmQI
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 =L&_6 lb
2.1 Synthesis methods based on merit function optimization …………………………...98 rJZ-/]Xf!6
2.1.1 Merit function selection …………………………………………………………98 Hjlx,:'M
2.1.2 Merit function optimization ……………………………………………………101 ]%NCK OM
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 Rk`c'WP0*
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 JlG yGr^MD
2.2.1 Needle-like variations of the refractive index ………………………………….115 ; 9 b?[G
2.2.2 The principal idea of the method ………………………………………………119 x~KS;hA
2.2.3 Description of the method ……………………………………………………...124 hu6)GOZbv
Bibliography …...………………………………………….……………….………..……130
