Basics of OPTICS OF MULTILAYER SYSTEMS 181P;R=}<
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Contents T DoYp
Preface……………………………………………………………………….………..……….4 ^.(]i \V_
Chapter 1 7,1idY%cy
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: /a
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THEORY……………………………………………………………………………………….5 x\jHk}Buj
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 zE [c$KPP
1.1.1 Layered medium electromagnetic field equations………………………………...5 B;m18LDu
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 9hv\%_>o
1.1.3 The Fresnel formulas ……………………………………………………………18 2C-u2;X2
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ? sO_c3^7z
layered medium…………………………………………………………………..19 AKpux,@xB
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 U2aE:$oeYi
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 & zG=
1.2.1 Matrix calculating method ………………………………………………………22 E|>I/!{u7`
1.2.2 Description of optical coating and presentation of calculation results…………..28 m[}$&i$(
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 nX N0~,+
1.2.4 Approximate formulas…………………………………………………………...33 Cdv TC`~,
1.2.5 Other recurrent methods…………………………………………………………34 -b{*8(d<I
1.2.6 The admittance phase plane……………………………………………………...38 #_E8>;)k
1.3 Some common properties of multilayer coatings…………………………………….46 zm e:U![
1.3.1 The relation between the characteristic matrix and spectral coefficients of a z+ 4R[+[
multilayer coating ……………………………………………………………….47 b &JPLUr
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ;#;X @BhS
1.3.3 Transmittance and reflectance of the combination of two multilayer |9y &;3
subsystems ……………………………………………………………………....54 ;
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1.4 The multilayer coatings optical properties: impact of variations in the layer `<K#bDU;a
parameters……………………………………………………………………………...58 5}m2D='
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 9J?j2!D
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral #zXDh3%]a
coefficients: probability assessment method ……………………….…………...63 \z_@.Jw{
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter ;7hf'k
variations ………………………………………………………………………...66 +z4N xR
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 {5to;\.
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 tly:$;K
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 $exu}%
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 A $5T3j'
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the [p <L*3<
central wavelength ………………………………………………………………80 $] Q_x?
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 8\yH 7H
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 } {lOsZA
1.6.1 Common expressions for spectral coefficients of filter-type systems near central nyIb8=f
wavelength ………………………………………………………………………88 aA:Ky&5e
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 D^A_ 0@
Chapter 2 ht1
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SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 9@h>_1RJz
2.1 Synthesis methods based on merit function optimization …………………………...98 6G( k{S
2.1.1 Merit function selection …………………………………………………………98 v9<p@GY"\
2.1.2 Merit function optimization ……………………………………………………101 )Q X9T
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 Ad"::&&Wk
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 _|*j8v3
2.2.1 Needle-like variations of the refractive index ………………………………….115 ^ =t yf&"
2.2.2 The principal idea of the method ………………………………………………119 GxvVh71zP
2.2.3 Description of the method ……………………………………………………...124 , vky
Bibliography …...………………………………………….……………….………..……130
