Basics of OPTICS OF MULTILAYER SYSTEMS GCYXDovh
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Contents r
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Preface……………………………………………………………………….………..……….4 g0B-<> E
Chapter 1 -`5]%.E&8
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: '~
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THEORY……………………………………………………………………………………….5 W[I[Xg&
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 vW.f`J,\D'
1.1.1 Layered medium electromagnetic field equations………………………………...5 U:~]> B $
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 9 D.wW
1.1.3 The Fresnel formulas ……………………………………………………………18 w|G7h=
1.1.4 Other ways of determining amplitude transmittance and reflectance of the /D9#v1b
layered medium…………………………………………………………………..19 nL^7t7mp
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 3 8&K"
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 u y2~<)
1.2.1 Matrix calculating method ………………………………………………………22 1:<n(?5JI
1.2.2 Description of optical coating and presentation of calculation results…………..28 uG'S&8i_
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 J;XO1}9
1.2.4 Approximate formulas…………………………………………………………...33 ,k.")
1.2.5 Other recurrent methods…………………………………………………………34 +(x(Ybl#
1.2.6 The admittance phase plane……………………………………………………...38 yq x!{8=V
1.3 Some common properties of multilayer coatings…………………………………….46 K+ /wJ9^B
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 7p'pz8n`X
multilayer coating ……………………………………………………………….47 t|V5[n!
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 MjQ>& fUK
1.3.3 Transmittance and reflectance of the combination of two multilayer J0k!&d 8
subsystems ……………………………………………………………………....54 & +`g~6U
1.4 The multilayer coatings optical properties: impact of variations in the layer Rm n|!C%%K
parameters……………………………………………………………………………...58 h y#nK: B
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… IIMf\JdM
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral Z~(X[Zl
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coefficients: probability assessment method ……………………….…………...63 f8K 0/z
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter *lZ V3F
variations ………………………………………………………………………...66 U7U&^s6`
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 v"
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1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 zE8_3UC
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 IX
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1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ?2o+x D2
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the ^3vI
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central wavelength ………………………………………………………………80 Jon3ywd1Y
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 dL'oIBp
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 @ukL! AV?Y
1.6.1 Common expressions for spectral coefficients of filter-type systems near central .(p_YjIA
wavelength ………………………………………………………………………88 i0\]^ F
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 )Dv;,t
Chapter 2 OPUrz ?p2C
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 {pXX%>
2.1 Synthesis methods based on merit function optimization …………………………...98 j-aTpN
2.1.1 Merit function selection …………………………………………………………98 qldm"Ul
2.1.2 Merit function optimization ……………………………………………………101 pd N8 hJ
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 !+Cc^{
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 +5O^{Ce 6
2.2.1 Needle-like variations of the refractive index ………………………………….115 oEZhKVyc.y
2.2.2 The principal idea of the method ………………………………………………119 }|/<!l+;$
2.2.3 Description of the method ……………………………………………………...124 D?xR>Oo)
Bibliography …...………………………………………….……………….………..……130
