Basics of OPTICS OF MULTILAYER SYSTEMS @@H_3!B%4v
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Contents (Of6Ij?
Preface……………………………………………………………………….………..……….4 MSQ^ovph
Chapter 1 P-Y_$Nv0g
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: ]6^<VC`5D
THEORY……………………………………………………………………………………….5 ?I6rW JcQ6
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 BA: x*(%~
1.1.1 Layered medium electromagnetic field equations………………………………...5 1 ;$XX#7o
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 S4_/%~?
1.1.3 The Fresnel formulas ……………………………………………………………18 Gy/w #4xj
1.1.4 Other ways of determining amplitude transmittance and reflectance of the L T$U
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layered medium…………………………………………………………………..19 ; zJb("n
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 uVn"L:_
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 EcB
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1.2.1 Matrix calculating method ………………………………………………………22 d-_V*rYU
1.2.2 Description of optical coating and presentation of calculation results…………..28 nUP, Yd
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 CVa>5 vt
1.2.4 Approximate formulas…………………………………………………………...33 ~r.R|f]IQ
1.2.5 Other recurrent methods…………………………………………………………34 &|Duc} t
1.2.6 The admittance phase plane……………………………………………………...38 6i[Ts0H%<!
1.3 Some common properties of multilayer coatings…………………………………….46 !.,wg'\P
1.3.1 The relation between the characteristic matrix and spectral coefficients of a Dm) B? H"
multilayer coating ……………………………………………………………….47 P 0.cF]<m
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 oN,1ig
1.3.3 Transmittance and reflectance of the combination of two multilayer tRdf:F\X
subsystems ……………………………………………………………………....54 '%rT]u3 U
1.4 The multilayer coatings optical properties: impact of variations in the layer =Nt HV4=b
parameters……………………………………………………………………………...58 gPKf8{#%e
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 8<C*D".T$
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral c9 -$^yno
coefficients: probability assessment method ……………………….…………...63 [j0[c9.p [
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter
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variations ………………………………………………………………………...66 T%eB gseS
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 RJWO h
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 cuQ!"iH
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 U9:)qvMXe
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 X
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1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the g{yw&q[B=
central wavelength ………………………………………………………………80 d^}p#7mB\
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 #h[>RtP:
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 VC 88re`
1.6.1 Common expressions for spectral coefficients of filter-type systems near central o0R?vnA=
wavelength ………………………………………………………………………88 P?h1nxm`'
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 [;z\bV<S
Chapter 2 /^.S
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SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 "@nH;Xlq
2.1 Synthesis methods based on merit function optimization …………………………...98 g3$'G hf
2.1.1 Merit function selection …………………………………………………………98 Czjb.c:a.Y
2.1.2 Merit function optimization ……………………………………………………101 %VO+\L8Fs
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 "#O9i j
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 %b ^ 4XTz
2.2.1 Needle-like variations of the refractive index ………………………………….115 7~XC_ Yc1
2.2.2 The principal idea of the method ………………………………………………119 'v]0;~\mp>
2.2.3 Description of the method ……………………………………………………...124 {6ZSf[Y6B
Bibliography …...………………………………………….……………….………..……130
