Basics of OPTICS OF MULTILAYER SYSTEMS &eb8k2S
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Contents sR^b_/ElxT
Preface……………………………………………………………………….………..……….4 KquuM ]5S
Chapter 1 =@c;%x
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: UW1i%u
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THEORY……………………………………………………………………………………….5 Y`3\Z6KlV
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 <"8F=3:uk
1.1.1 Layered medium electromagnetic field equations………………………………...5 RXw1HRR$V
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 jX0^1d@
1.1.3 The Fresnel formulas ……………………………………………………………18 {|'NpV
1.1.4 Other ways of determining amplitude transmittance and reflectance of the jO9! :L>b`
layered medium…………………………………………………………………..19 WcY $=\7
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 !ST7@D
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 (*kKfg4Wj
1.2.1 Matrix calculating method ………………………………………………………22 JXH f$k
1.2.2 Description of optical coating and presentation of calculation results…………..28 jrpki<D
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 KWM.e1(
1.2.4 Approximate formulas…………………………………………………………...33 UC j:]!P
1.2.5 Other recurrent methods…………………………………………………………34 "MK2QI o
1.2.6 The admittance phase plane……………………………………………………...38 mDk6@Gd@U
1.3 Some common properties of multilayer coatings…………………………………….46 MS:,I ?
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 9Vl}f^Gn
multilayer coating ……………………………………………………………….47 '<QFf
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 hAt4+O&P
1.3.3 Transmittance and reflectance of the combination of two multilayer ' 6)Yf}I
subsystems ……………………………………………………………………....54 fhyoSRLR:
1.4 The multilayer coatings optical properties: impact of variations in the layer i'.D=o
parameters……………………………………………………………………………...58 yo8mfH_,
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… A xeQv' e
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral |b hv7(_
coefficients: probability assessment method ……………………….…………...63
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter fg lN _
variations ………………………………………………………………………...66 maa$kg8U*!
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 olr-oi`4C
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 ;kWWzg
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 =k,?+h~
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 E ;9J7Q
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1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the X{(?p=]
central wavelength ………………………………………………………………80 j5og}P q:
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 n^b CrvD
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 !X||ds
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 'nq~ 1 >i
wavelength ………………………………………………………………………88 y^[t3XA6Q
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 vz|(KN[
Chapter 2 p1hF.
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 U#bmM H
2.1 Synthesis methods based on merit function optimization …………………………...98 CI\yP@DQ4
2.1.1 Merit function selection …………………………………………………………98 C#8A|
2.1.2 Merit function optimization ……………………………………………………101 \B:k|Pw6~
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 &,3s2,1U(
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 m U
2.2.1 Needle-like variations of the refractive index ………………………………….115 >ts}\.(]
2.2.2 The principal idea of the method ………………………………………………119 oRJ!TAbD
2.2.3 Description of the method ……………………………………………………...124 aOd | ;Z
Bibliography …...………………………………………….……………….………..……130
