Basics of OPTICS OF MULTILAYER SYSTEMS Hh.l,Z7i7D
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Contents xn 4-^2
Preface……………………………………………………………………….………..……….4 T=->~@5
Chapter 1 SgPvQ'\
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 626 !6E;T
THEORY……………………………………………………………………………………….5 !`#x FRHe
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 HWT^u$a"
1.1.1 Layered medium electromagnetic field equations………………………………...5 ~m.@{Do0p
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 DU-&bm
1.1.3 The Fresnel formulas ……………………………………………………………18 ]Syr{ |
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 2:l8RH!Y
layered medium…………………………………………………………………..19 gEU|Bx/!=
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 \LpR7D
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 uVw |fT
1.2.1 Matrix calculating method ………………………………………………………22 !5K9L(gqb
1.2.2 Description of optical coating and presentation of calculation results…………..28 @ s;qmBX4
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 IXef}%1N?
1.2.4 Approximate formulas…………………………………………………………...33 <; Bv6.Z
1.2.5 Other recurrent methods…………………………………………………………34 *R6Ed
1.2.6 The admittance phase plane……………………………………………………...38 DZ Q=Sinry
1.3 Some common properties of multilayer coatings…………………………………….46 mVuZ} `
1.3.1 The relation between the characteristic matrix and spectral coefficients of a vmZyvJSE
multilayer coating ……………………………………………………………….47 &*N;yW""f
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ix]t >2r
1.3.3 Transmittance and reflectance of the combination of two multilayer UMbM3m=\
subsystems ……………………………………………………………………....54 _]whHS+
1.4 The multilayer coatings optical properties: impact of variations in the layer WD7IF+v
parameters……………………………………………………………………………...58 I
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… gK8{ =A0c
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral Q-}yZ
coefficients: probability assessment method ……………………….…………...63 Akbt%&
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 69$[yt>KYz
variations ………………………………………………………………………...66 OWRT6R4v
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 CQx#Xp>=s
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 @H^Yf
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 a.yCd/
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 vC9Qe
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1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the $Dm2>:Dmt
central wavelength ………………………………………………………………80 'dstAlt?
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 !w8 t`Z['
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 ]%L?b-e
1.6.1 Common expressions for spectral coefficients of filter-type systems near central
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wavelength ………………………………………………………………………88 ?(4E le
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 9=J+5V^qD<
Chapter 2 #DI%l`B
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 eZMDt B
2.1 Synthesis methods based on merit function optimization …………………………...98 ;5bzXW#U
2.1.1 Merit function selection …………………………………………………………98 eI7FbOze
2.1.2 Merit function optimization ……………………………………………………101 `"/s," c:D
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 , 33[/j
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 8AK=FX&@&
2.2.1 Needle-like variations of the refractive index ………………………………….115 8i=c|k,GL.
2.2.2 The principal idea of the method ………………………………………………119 Yn zhvE
2.2.3 Description of the method ……………………………………………………...124 %&RF;qa2xu
Bibliography …...………………………………………….……………….………..……130
