Basics of OPTICS OF MULTILAYER SYSTEMS yGD0}\!n
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Contents PkVXn
Preface……………………………………………………………………….………..……….4 BFEo:!'F
Chapter 1 SjJUhTb
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: d@w
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THEORY……………………………………………………………………………………….5 Jz|(B_U
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 Lte\;Se.tu
1.1.1 Layered medium electromagnetic field equations………………………………...5 WYh7Y
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 8bK}& *z<
1.1.3 The Fresnel formulas ……………………………………………………………18 zh4o<f:-
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 3; M!]9ms
layered medium…………………………………………………………………..19 8WyG49eic
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 4 B> l|%
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ~}M{[6!
1.2.1 Matrix calculating method ………………………………………………………22 @e Myq1ZU
1.2.2 Description of optical coating and presentation of calculation results…………..28 h5Z\9`f[
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 J`V6zGgW
1.2.4 Approximate formulas…………………………………………………………...33 V2y[IeS Q
1.2.5 Other recurrent methods…………………………………………………………34 DMf9wB
1.2.6 The admittance phase plane……………………………………………………...38 Bo0y"W[+
1.3 Some common properties of multilayer coatings…………………………………….46 K {iay g!k
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ze ua`jQ
multilayer coating ……………………………………………………………….47 -Kc-eU- &q
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 *o>E{
1.3.3 Transmittance and reflectance of the combination of two multilayer h] =chz
subsystems ……………………………………………………………………....54 z^b\hR
1.4 The multilayer coatings optical properties: impact of variations in the layer FE5R
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parameters……………………………………………………………………………...58 b,@:eV Q7
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… asJYGqdF
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral <T}#>xHs3
coefficients: probability assessment method ……………………….…………...63 "u laF+
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter Hc+<(g
variations ………………………………………………………………………...66 m:^@AR1%d
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 IR>K ka(B
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 TcIUo!:z
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 _ <~05Eh
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Ltj}>. +
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 8jZYy!
central wavelength ………………………………………………………………80 J )-owu;
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 Z/I!\
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 U-k;kmaj
1.6.1 Common expressions for spectral coefficients of filter-type systems near central B8nXW i
wavelength ………………………………………………………………………88 4R0_%x6vG
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 p!691LI
Chapter 2 pQ/:*cd+M
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ENmo^O#,u
2.1 Synthesis methods based on merit function optimization …………………………...98 *[U:'o `67
2.1.1 Merit function selection …………………………………………………………98 nJ? C 4\#3
2.1.2 Merit function optimization ……………………………………………………101 G]S E
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2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 PU >;4l
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 m=K XMX
2.2.1 Needle-like variations of the refractive index ………………………………….115 >}I}9y+
2.2.2 The principal idea of the method ………………………………………………119 3}+/\:q*
2.2.3 Description of the method ……………………………………………………...124 H z6H,h
Bibliography …...………………………………………….……………….………..……130
