Basics of OPTICS OF MULTILAYER SYSTEMS M?4)U"_VE
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Contents q@ >s#
Preface……………………………………………………………………….………..……….4 cbl2D5s+i]
Chapter 1 F7`3,SzHp
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: d*=P8QwL|
THEORY……………………………………………………………………………………….5 }"<|.[V)
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 / a\6&Eb
1.1.1 Layered medium electromagnetic field equations………………………………...5 ln7{c #lE
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 edqek jh
1.1.3 The Fresnel formulas ……………………………………………………………18 D L_{q6ZK
1.1.4 Other ways of determining amplitude transmittance and reflectance of the &inu mc
layered medium…………………………………………………………………..19 1O1/P,u+
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ,
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 2l#Ogn`k
1.2.1 Matrix calculating method ………………………………………………………22 BF 2,E<^A
1.2.2 Description of optical coating and presentation of calculation results…………..28 r LNo7i
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 %0}qMYS
1.2.4 Approximate formulas…………………………………………………………...33 <8[BB7
1.2.5 Other recurrent methods…………………………………………………………34 Z&%#,0>]
1.2.6 The admittance phase plane……………………………………………………...38 pvJ@$L `'
1.3 Some common properties of multilayer coatings…………………………………….46 D*Y4B ?,
1.3.1 The relation between the characteristic matrix and spectral coefficients of a # CoJ S[ t
multilayer coating ……………………………………………………………….47
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1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 FFl[[(`%D
1.3.3 Transmittance and reflectance of the combination of two multilayer b w!;ZRK
subsystems ……………………………………………………………………....54 sB
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1.4 The multilayer coatings optical properties: impact of variations in the layer Crmxsw.W^Y
parameters……………………………………………………………………………...58 {[PoLOCI
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… Z9s tB>?
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral !Ac <A.
coefficients: probability assessment method ……………………….…………...63 >&tPI rz
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter jQzq(oDQw
variations ………………………………………………………………………...66 S1{UVkr
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 _e$15qW+
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 q4<3 O"c1
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 L,| 60*
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 [!4p5;
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the /c~z(wv
central wavelength ………………………………………………………………80 SsfnBCVR
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 j`A%(( )d
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 z iR}
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 7jT]J
wavelength ………………………………………………………………………88 ./LD
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 |ul25/B
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Chapter 2 3>%rm%ffE
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 he x:e2x
2.1 Synthesis methods based on merit function optimization …………………………...98 .v%H%z~Rl#
2.1.1 Merit function selection …………………………………………………………98 0 '`>2 0Y
2.1.2 Merit function optimization ……………………………………………………101 W~ E%Eq3
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 G=!1P]M {
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 6+(g4MW
2.2.1 Needle-like variations of the refractive index ………………………………….115 ~isrE;N 1|
2.2.2 The principal idea of the method ………………………………………………119 tw U^ewO&
2.2.3 Description of the method ……………………………………………………...124 r k;k:<c
Bibliography …...………………………………………….……………….………..……130
