Basics of OPTICS OF MULTILAYER SYSTEMS K7Tell\`
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Contents BBj"}~da
Preface……………………………………………………………………….………..……….4 A2S9h,t
Chapter 1 Uwa1)Lwn
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: POs~xaZ`H
THEORY……………………………………………………………………………………….5 TnAX;+u
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 W}3vY]
1.1.1 Layered medium electromagnetic field equations………………………………...5 9h pM *wt
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 f/m6q8!L{
1.1.3 The Fresnel formulas ……………………………………………………………18 `vBa. )u
1.1.4 Other ways of determining amplitude transmittance and reflectance of the X.| 0E 87
layered medium…………………………………………………………………..19 brot&S2P><
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 y$NG . .S
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 4+b sG6i
1.2.1 Matrix calculating method ………………………………………………………22 L <`g}iw
1.2.2 Description of optical coating and presentation of calculation results…………..28 Dw,f~D$+ic
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 )CQ}LbX Zy
1.2.4 Approximate formulas…………………………………………………………...33 OO>2oH
1.2.5 Other recurrent methods…………………………………………………………34
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1.2.6 The admittance phase plane……………………………………………………...38 Ry3 f'gx
1.3 Some common properties of multilayer coatings…………………………………….46 +06j+I
1.3.1 The relation between the characteristic matrix and spectral coefficients of a -C<aB750O)
multilayer coating ……………………………………………………………….47 P^-9?u Bno
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 A>yIH)b
1.3.3 Transmittance and reflectance of the combination of two multilayer Y.#+Yh[
subsystems ……………………………………………………………………....54 B[50{;X
1.4 The multilayer coatings optical properties: impact of variations in the layer {*Pp^ r
parameters……………………………………………………………………………...58 R0'EoX
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… cIjsUqKa
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ObzlZP
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coefficients: probability assessment method ……………………….…………...63 &.B6P|N'
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter F{ tSfKy2
variations ………………………………………………………………………...66 n
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1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 5Bo)j_Qo
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 v^'~ -^s
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 c-d}E!C:
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Xi.?9J`@
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the YvX I
central wavelength ………………………………………………………………80 |e >-v
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 SGm? "esEt
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 xkovoTzV
1.6.1 Common expressions for spectral coefficients of filter-type systems near central AF 6'JxG7
wavelength ………………………………………………………………………88 #J_i 5KmXJ
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 Y2 EN!{YU
Chapter 2 ibyA~YUN/
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ,vPF=wq
2.1 Synthesis methods based on merit function optimization …………………………...98 3FN? CN] O
2.1.1 Merit function selection …………………………………………………………98 I "4B1g
2.1.2 Merit function optimization ……………………………………………………101 d .A0(*k,
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 -f=h L7NW
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 Lw`\J|%p
2.2.1 Needle-like variations of the refractive index ………………………………….115 ~l~g0J
2.2.2 The principal idea of the method ………………………………………………119 mZyTo/\0
2.2.3 Description of the method ……………………………………………………...124 `Fj(g!`
Bibliography …...………………………………………….……………….………..……130
