Basics of OPTICS OF MULTILAYER SYSTEMS i<>zN^zn
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Contents 3<vw#]yL
Preface……………………………………………………………………….………..……….4 B!iz=+RNC1
Chapter 1 530Z>q
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: {S 2?
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THEORY……………………………………………………………………………………….5 QT[yw6Z
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ?Gr2@,jlD
1.1.1 Layered medium electromagnetic field equations………………………………...5 JS{trqc1d
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 S{. G=O
1.1.3 The Fresnel formulas ……………………………………………………………18 NJ ];Ck
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 1 Ka,u20
layered medium…………………………………………………………………..19 W]l&mr
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 p ipO ,n
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 r)Dln5F
1.2.1 Matrix calculating method ………………………………………………………22 <~ 9a3c?
1.2.2 Description of optical coating and presentation of calculation results…………..28 *~H\#N|x
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 WY3D.z-</
1.2.4 Approximate formulas…………………………………………………………...33 B^yA+&3HI
1.2.5 Other recurrent methods…………………………………………………………34 Wd78 bu|
1.2.6 The admittance phase plane……………………………………………………...38 [l %6wIP&{
1.3 Some common properties of multilayer coatings…………………………………….46 Ed$; #4
1.3.1 The relation between the characteristic matrix and spectral coefficients of a $CgR~D2G
multilayer coating ……………………………………………………………….47 Bk)*Z/1<x
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ,'0Zd (s
1.3.3 Transmittance and reflectance of the combination of two multilayer ,ag:w<km
subsystems ……………………………………………………………………....54 AFN"#M
1.4 The multilayer coatings optical properties: impact of variations in the layer ;kv/(veQ1<
parameters……………………………………………………………………………...58 20Rj
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… Jg:%|g
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ^w1&A 3=6
coefficients: probability assessment method ……………………….…………...63 5:W 5@e{
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter ?9I=XTR
variations ………………………………………………………………………...66 {~u#.(
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 xLp<G(;
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 )!tqock*v
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 $wq[W,'#L
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 %D9,Femt
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the Xe:gH.}
central wavelength ………………………………………………………………80 Q gZ`~
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 ~0 5p+F)
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 IA$)E
1.6.1 Common expressions for spectral coefficients of filter-type systems near central :1/K$A)^{
wavelength ………………………………………………………………………88 GiH< 6<=
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 S]#xG+$<
Chapter 2 byrK``f
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ~8#Ku,vEy
2.1 Synthesis methods based on merit function optimization …………………………...98 F !yr};@^p
2.1.1 Merit function selection …………………………………………………………98 9+!1jTGSkf
2.1.2 Merit function optimization ……………………………………………………101 _5%NG 3c
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 _pZaVx
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 d \[cFe1d
2.2.1 Needle-like variations of the refractive index ………………………………….115 HC[)):S*
2.2.2 The principal idea of the method ………………………………………………119 M!Hn`_E
2.2.3 Description of the method ……………………………………………………...124 RD1N@sHDKc
Bibliography …...………………………………………….……………….………..……130
