| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS q>H!?zi\Hy
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Contents ef| Y2<P
Preface……………………………………………………………………….………..……….4 6, oi(RAf
Chapter 1 iRPd=)
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: [*50Ng>P`
THEORY……………………………………………………………………………………….5 SHh g&~B
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 )V9$ P)
1.1.1 Layered medium electromagnetic field equations………………………………...5 a{]1H4+bQ
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 @$t Qz
1.1.3 The Fresnel formulas ……………………………………………………………18 'kYV}rq;l
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ?VReKv1\
layered medium…………………………………………………………………..19 |!&,etu
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 2t[inzn=E
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 A0&~U0*( ~
1.2.1 Matrix calculating method ………………………………………………………22 8xL-j2 w
1.2.2 Description of optical coating and presentation of calculation results…………..28 GJ?rqmbL
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 '+-R 7#
1.2.4 Approximate formulas…………………………………………………………...33 N}s[0s
1.2.5 Other recurrent methods…………………………………………………………34 r:YAn^Lg
1.2.6 The admittance phase plane……………………………………………………...38 S0"O U0`N
1.3 Some common properties of multilayer coatings…………………………………….46 EmY8AN(*
1.3.1 The relation between the characteristic matrix and spectral coefficients of a KWXJ[#E<W
multilayer coating ……………………………………………………………….47 {V:?r
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 lt(,/
1.3.3 Transmittance and reflectance of the combination of two multilayer A$|> Jt
subsystems ……………………………………………………………………....54 1!=$3]l0Lj
1.4 The multilayer coatings optical properties: impact of variations in the layer AKL~ F|t
parameters……………………………………………………………………………...58 8/=[mYn`-
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ^3*gf}
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral b6 g,mzqu
coefficients: probability assessment method ……………………….…………...63 U6_1L,W
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter !%5{jO1
variations ………………………………………………………………………...66 }V 9146
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 d9 sgk3K
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 2X6y^f';\
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 ]4hXK!^Uu
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 iiRK3m
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 9lny[ {9
central wavelength ………………………………………………………………80 g]jtVQH']
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 R2M,VK?Wx
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 \
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1.6.1 Common expressions for spectral coefficients of filter-type systems near central b8QW^Z
wavelength ………………………………………………………………………88 Jbs:}]2
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 9>zN 27
Chapter 2 =U@*adgw
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 +R*4`F:QJQ
2.1 Synthesis methods based on merit function optimization …………………………...98 HqN|CwGgJ:
2.1.1 Merit function selection …………………………………………………………98 ]`u{ ^f
2.1.2 Merit function optimization ……………………………………………………101 Up/1c:<J
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 k&^Megcb
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 6bqJM# y@
2.2.1 Needle-like variations of the refractive index ………………………………….115 q^12Rj;H
2.2.2 The principal idea of the method ………………………………………………119 FRfMtxvU
2.2.3 Description of the method ……………………………………………………...124 R]ppA=1*_l
Bibliography …...………………………………………….……………….………..……130
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