Basics of OPTICS OF MULTILAYER SYSTEMS $cSrT)u :
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Contents ,L6d~>=41
Preface……………………………………………………………………….………..……….4 b{b2L .
Chapter 1 !WR(H&uBr\
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: iLws;3UX;x
THEORY……………………………………………………………………………………….5 506B =
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 F(Pe@ #)A
1.1.1 Layered medium electromagnetic field equations………………………………...5 |K,9EM3
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 Z q}w}v
1.1.3 The Fresnel formulas ……………………………………………………………18 :0Rd )*k,v
1.1.4 Other ways of determining amplitude transmittance and reflectance of the /![S 3Ol
layered medium…………………………………………………………………..19 k>FMy#N|@
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 k BS;SDl)
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 x$[<<@F%
1.2.1 Matrix calculating method ………………………………………………………22 #Ne<=ayS
1.2.2 Description of optical coating and presentation of calculation results…………..28 gah3d*d7
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 qb]n{b2
1.2.4 Approximate formulas…………………………………………………………...33 `kpX}cKK}
1.2.5 Other recurrent methods…………………………………………………………34 ( /a2#iW
1.2.6 The admittance phase plane……………………………………………………...38 68[3
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1.3 Some common properties of multilayer coatings…………………………………….46 Q&opn vN
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 1y2D]h /'
multilayer coating ……………………………………………………………….47 _[<R<&jG
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 j #f+0
1.3.3 Transmittance and reflectance of the combination of two multilayer w-C ~
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subsystems ……………………………………………………………………....54 G Lp2
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1.4 The multilayer coatings optical properties: impact of variations in the layer ryB^$Kh,,
parameters……………………………………………………………………………...58 o8-B Tq8
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… r/$+'~apTk
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 9TIyY`2!
coefficients: probability assessment method ……………………….…………...63 -icOg6%
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter .{1G"(z
variations ………………………………………………………………………...66 :2pd2 S
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 &=Gz[1
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1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 WS/^WxRY
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 2?u>A3^R
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 AON";&dLq-
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the J*o :RnB
central wavelength ………………………………………………………………80 cv=nGFx6
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 %0fF _OU
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 1P.
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1.6.1 Common expressions for spectral coefficients of filter-type systems near central MUhC6s\F
wavelength ………………………………………………………………………88 \_Nr7sc\
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 {>H#/I8si
Chapter 2 9f+|m9~2
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 x #-uf
2.1 Synthesis methods based on merit function optimization …………………………...98 A[oLV"J6x5
2.1.1 Merit function selection …………………………………………………………98 (o~f6pNB,
2.1.2 Merit function optimization ……………………………………………………101 7F5 t&
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 !C
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2.2 Synthesis method based on the needle-like variations of the refractive index ……114 1t_$pDF}
2.2.1 Needle-like variations of the refractive index ………………………………….115 l TY%,s
2.2.2 The principal idea of the method ………………………………………………119 dIQ7u
2.2.3 Description of the method ……………………………………………………...124 " nP mQ
Bibliography …...………………………………………….……………….………..……130
