Basics of OPTICS OF MULTILAYER SYSTEMS b|ksMB>)
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Contents m wEVEx24
Preface……………………………………………………………………….………..……….4 XJlDiBs9=Q
Chapter 1 [+MH[1Vr={
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Z>Kcz^a#
THEORY……………………………………………………………………………………….5 {`F x~w;i
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 r< ?o}Qq
1.1.1 Layered medium electromagnetic field equations………………………………...5 a[P>SqT 4`
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 u5XU`!
1.1.3 The Fresnel formulas ……………………………………………………………18 W`/jz/
1.1.4 Other ways of determining amplitude transmittance and reflectance of the +ersP@G
layered medium…………………………………………………………………..19 )_X xk_
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 )-9w3W1r
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 =O3I[
1.2.1 Matrix calculating method ………………………………………………………22 9u7n/o&8v6
1.2.2 Description of optical coating and presentation of calculation results…………..28 RZ)vU'@kx
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 -4y)qGb*?
1.2.4 Approximate formulas…………………………………………………………...33 Sp`fh7d.(
1.2.5 Other recurrent methods…………………………………………………………34 <7FP" YU
1.2.6 The admittance phase plane……………………………………………………...38 0 bPJEEd
1.3 Some common properties of multilayer coatings…………………………………….46 ^{fi^lL=
1.3.1 The relation between the characteristic matrix and spectral coefficients of a $E`i qRB
multilayer coating ……………………………………………………………….47 01-\:[{
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 cGpN4|*rQ
1.3.3 Transmittance and reflectance of the combination of two multilayer #}t 1
subsystems ……………………………………………………………………....54 M89-*1
1.4 The multilayer coatings optical properties: impact of variations in the layer R( /[NvUb
parameters……………………………………………………………………………...58 r>Qyc
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… w*6!?=jP
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ,Og[[0g
coefficients: probability assessment method ……………………….…………...63 vA2,&%jw
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter >Oi2gPA
variations ………………………………………………………………………...66 1fO2)$Y
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 liCCc;&B;
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 Q Sn;a 4f
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 anz9lGG#
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ]U#[\ Z
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the ?HEtr X,q
central wavelength ………………………………………………………………80 i^yH?bH @~
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 gf3u0' $
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 +9 16ZPk
1.6.1 Common expressions for spectral coefficients of filter-type systems near central liugaRO8J
wavelength ………………………………………………………………………88 "9U+h2#]
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 eHR &N.2
Chapter 2 BYr_Lz|T
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 L.IoGU xD
2.1 Synthesis methods based on merit function optimization …………………………...98 $/<"Si& (
2.1.1 Merit function selection …………………………………………………………98 ;9p#xW 6
2.1.2 Merit function optimization ……………………………………………………101 f 74%YY
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 _#J_$CE#
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 As6)_8w
2.2.1 Needle-like variations of the refractive index ………………………………….115 !!-}ttFA
2.2.2 The principal idea of the method ………………………………………………119 QLF,/"
2.2.3 Description of the method ……………………………………………………...124 Wk\mgGn+
Bibliography …...………………………………………….……………….………..……130
