Basics of OPTICS OF MULTILAYER SYSTEMS ? {Lp
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Contents qJj;3{X2
Preface……………………………………………………………………….………..……….4 8 VJUaL@
Chapter 1 v ?)-KtX|
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: DYU+?[J
THEORY……………………………………………………………………………………….5 ;%Jw9G\h
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 4 }{HRs?
1.1.1 Layered medium electromagnetic field equations………………………………...5 c,1Yxg]|
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 &UUIiQm~
1.1.3 The Fresnel formulas ……………………………………………………………18 [ds:LQq)/
1.1.4 Other ways of determining amplitude transmittance and reflectance of the (z0S5#g
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layered medium…………………………………………………………………..19 :0.Z/s -
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 bIP{ Dx KS
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 #]i*u1
1.2.1 Matrix calculating method ………………………………………………………22 q&Sd+y&
1.2.2 Description of optical coating and presentation of calculation results…………..28 0(;d<u)fS
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 UfEF>@0
1.2.4 Approximate formulas…………………………………………………………...33 tm~V+t!mj
1.2.5 Other recurrent methods…………………………………………………………34 -DrR6kGjR
1.2.6 The admittance phase plane……………………………………………………...38 " z\T$ /
1.3 Some common properties of multilayer coatings…………………………………….46 N %-Cp)
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 2*-s3 >VK
multilayer coating ……………………………………………………………….47 /i$
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1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ] 5lp.#EB
1.3.3 Transmittance and reflectance of the combination of two multilayer Y&aFAjj
subsystems ……………………………………………………………………....54 lvIKL!;H
1.4 The multilayer coatings optical properties: impact of variations in the layer V?v,q'? $
parameters……………………………………………………………………………...58 R74kt36M
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… .Y !* 6I
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral LQ"5 6PP<
coefficients: probability assessment method ……………………….…………...63 uh3%}2'P
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter W6D|Rr.q
variations ………………………………………………………………………...66 _*1/4^
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 Uu{I4ls6B
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 , gk49z9
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 *z`_U]tP
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 "jzU`
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 8*3<Erv
central wavelength ………………………………………………………………80 3qPj +@
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 DPJ#Y -0
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 ~AxA ,
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 3(':4Tas
wavelength ………………………………………………………………………88 &IM;Yl
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 nnX,_5s
Chapter 2 v2:A 4Pd:+
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 yHl1:cf(y
2.1 Synthesis methods based on merit function optimization …………………………...98 }<o.VY&;.
2.1.1 Merit function selection …………………………………………………………98 W XD l\*n
2.1.2 Merit function optimization ……………………………………………………101 bR6 .Xdt.n
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 Yjv}@i"
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 tT87TmNsA
2.2.1 Needle-like variations of the refractive index ………………………………….115 8[U1{s:J
2.2.2 The principal idea of the method ………………………………………………119 5BCXI8Ox9x
2.2.3 Description of the method ……………………………………………………...124 f n
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Bibliography …...………………………………………….……………….………..……130
