Basics of OPTICS OF MULTILAYER SYSTEMS ]114\JE
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Contents %$ [#/H7=W
Preface……………………………………………………………………….………..……….4 vf;&0j&`
Chapter 1 &>A<{J@VL
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: !hjA
THEORY……………………………………………………………………………………….5 h>"j!|#!s
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 9Q>85IiT
1.1.1 Layered medium electromagnetic field equations………………………………...5 2y 5d
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 s8.SEk|pB
1.1.3 The Fresnel formulas ……………………………………………………………18 pD17 r}%
1.1.4 Other ways of determining amplitude transmittance and reflectance of the l05'/duuJ
layered medium…………………………………………………………………..19 X' J!.Jj
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 { RC&Ub>
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 '' Hx&
1.2.1 Matrix calculating method ………………………………………………………22 * zt?y
1.2.2 Description of optical coating and presentation of calculation results…………..28 e!=~f%c<N
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 7 g|EqJ7
1.2.4 Approximate formulas…………………………………………………………...33 W <u,S
1.2.5 Other recurrent methods…………………………………………………………34 xG WA5[YV
1.2.6 The admittance phase plane……………………………………………………...38 A)_HSI Vi
1.3 Some common properties of multilayer coatings…………………………………….46 8Z!Mad
1.3.1 The relation between the characteristic matrix and spectral coefficients of a &4{!5r
multilayer coating ……………………………………………………………….47 *f o>
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 B}+li1k
1.3.3 Transmittance and reflectance of the combination of two multilayer "A]#KTP
subsystems ……………………………………………………………………....54 } 89-U
1.4 The multilayer coatings optical properties: impact of variations in the layer 8/k"A-m
parameters……………………………………………………………………………...58 a4&Aw7"X
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… k`w /
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral C`=YGyj=TL
coefficients: probability assessment method ……………………….…………...63 iAo /Dnp2J
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter HCw,bRxm
variations ………………………………………………………………………...66 2 b
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1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 PiN^ /#D
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 SW}?y%~
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 H/y,}z
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 FfNUFx2N
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the ly#jl5wmT
central wavelength ………………………………………………………………80 8a3 EVc
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 &grqRt
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 _FxeZ4\
1.6.1 Common expressions for spectral coefficients of filter-type systems near central &y&HxV
wavelength ………………………………………………………………………88 Bo$dIn2_
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 !Ahxi);a
Chapter 2 ~REfr}0
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 C55Av%-=
2.1 Synthesis methods based on merit function optimization …………………………...98 K /$-H#;N
2.1.1 Merit function selection …………………………………………………………98 24u_}ZQzY
2.1.2 Merit function optimization ……………………………………………………101 ;I?x; lH
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 !Df>Q5~g
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 IN75zn*%
2.2.1 Needle-like variations of the refractive index ………………………………….115 ]$=# :uf
2.2.2 The principal idea of the method ………………………………………………119 k [LV^oEg
2.2.3 Description of the method ……………………………………………………...124
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Bibliography …...………………………………………….……………….………..……130
