Basics of OPTICS OF MULTILAYER SYSTEMS u9R@rQ9r
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Contents --F6n/>
Preface……………………………………………………………………….………..……….4 `'b2 z=j
Chapter 1 lT;uL~j
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: =dY!-#yg!
THEORY……………………………………………………………………………………….5 Gg5+Ap D
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 2:;;
1.1.1 Layered medium electromagnetic field equations………………………………...5 v=E(U4v9e
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 7~nuFJaTI
1.1.3 The Fresnel formulas ……………………………………………………………18 otdm r w|
1.1.4 Other ways of determining amplitude transmittance and reflectance of the C]ef
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layered medium…………………………………………………………………..19 ulNM qz\.
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 4&G
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 r!/<%\S
1.2.1 Matrix calculating method ………………………………………………………22 Ko %e#q-
1.2.2 Description of optical coating and presentation of calculation results…………..28 ?l^NKbw
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 K8fC>iNbH
1.2.4 Approximate formulas…………………………………………………………...33 noO#o+
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1.2.5 Other recurrent methods…………………………………………………………34 '_ FxxLAO
1.2.6 The admittance phase plane……………………………………………………...38 J(Zz^$8]<?
1.3 Some common properties of multilayer coatings…………………………………….46 $ [+)N ~
1.3.1 The relation between the characteristic matrix and spectral coefficients of a p4z
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multilayer coating ……………………………………………………………….47 iB5'mb*
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 2X 0<-Y#'
1.3.3 Transmittance and reflectance of the combination of two multilayer yG,uD!N]|
subsystems ……………………………………………………………………....54 { EyWSf"
1.4 The multilayer coatings optical properties: impact of variations in the layer #E4|@}30`
parameters……………………………………………………………………………...58 8T3Nz8Q7
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… }hS$F
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral *)s^+F 0
coefficients: probability assessment method ……………………….…………...63 4z,/ 0
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter F+ <Z%KuCu
variations ………………………………………………………………………...66 }[SYWJIc
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 %(:{TR
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 fY!9i5@'
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 * 5(%'3
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Y
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1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the n {..Q,z
central wavelength ………………………………………………………………80 [rReBgV
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 96< 0=
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 =!IoL7x
1.6.1 Common expressions for spectral coefficients of filter-type systems near central (9v%66y
wavelength ………………………………………………………………………88 Xx ou1l!
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 ` pfRY!
Chapter 2 ^n*:zmD
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 Dfy=$:Q
2.1 Synthesis methods based on merit function optimization …………………………...98 W;|%)D)y
2.1.1 Merit function selection …………………………………………………………98 UD ;UdehC
2.1.2 Merit function optimization ……………………………………………………101 nRs:^Q~o
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 E_Fm5zb?X
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 06[HE 7
2.2.1 Needle-like variations of the refractive index ………………………………….115 q$'[&& _
2.2.2 The principal idea of the method ………………………………………………119 - # -Bo
2.2.3 Description of the method ……………………………………………………...124 q I*7ToBJ
Bibliography …...………………………………………….……………….………..……130
