| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS 30Nya$$ A=
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Contents x. r~e)x=
Preface……………………………………………………………………….………..……….4 ,jyNV<dI
Chapter 1 >JFAE5tj&2
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: fbS l$jn.
THEORY……………………………………………………………………………………….5 ;m}lmq,
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 \oPW
1.1.1 Layered medium electromagnetic field equations………………………………...5 i=%wZHc;
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ,MwwA@,9-
1.1.3 The Fresnel formulas ……………………………………………………………18 *1V}vJvi
1.1.4 Other ways of determining amplitude transmittance and reflectance of the \%9,< -~[
layered medium…………………………………………………………………..19 7-+X -Y?
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ^;B
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 od |w)?16
1.2.1 Matrix calculating method ………………………………………………………22 w
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1.2.2 Description of optical coating and presentation of calculation results…………..28 ]* pALT6
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30
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1.2.4 Approximate formulas…………………………………………………………...33 GLA,,i'i9
1.2.5 Other recurrent methods…………………………………………………………34 Tn[DF9;?
1.2.6 The admittance phase plane……………………………………………………...38 E7+ y
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1.3 Some common properties of multilayer coatings…………………………………….46 xaWd \]UF
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 7t\W{y
multilayer coating ……………………………………………………………….47 p"/1Kwqx
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 e9h T
1.3.3 Transmittance and reflectance of the combination of two multilayer >`8r 52
subsystems ……………………………………………………………………....54 *J@2A)ZDv0
1.4 The multilayer coatings optical properties: impact of variations in the layer \cvu i^^n
parameters……………………………………………………………………………...58 Zi/l.=9n
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 5aw#!K=J'
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral \1f $]oS
coefficients: probability assessment method ……………………….…………...63 bT>%
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter IuTZ 2~
variations ………………………………………………………………………...66 Mw7 ~:O`
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 kRn h20I
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 n.,\Z(l|0
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 = LuH:VM&
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ,T_HE3 K
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the {<&I4V@+
central wavelength ………………………………………………………………80 F<X)eO]tk
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 y[S 5
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 YY]JjMkU
1.6.1 Common expressions for spectral coefficients of filter-type systems near central r ,|T@|{
wavelength ………………………………………………………………………88 It!%/Y5
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 D0 =D8P}H:
Chapter 2 A\lnH5A
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 |~k=:sSz{
2.1 Synthesis methods based on merit function optimization …………………………...98 g^"",!J/
2.1.1 Merit function selection …………………………………………………………98 bAt%^pc=y
2.1.2 Merit function optimization ……………………………………………………101 M[D`)7=b
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 rE[*i q,#
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 BqK| 4-Pf
2.2.1 Needle-like variations of the refractive index ………………………………….115 S0 M -$
2.2.2 The principal idea of the method ………………………………………………119 &fq-U5zH
2.2.3 Description of the method ……………………………………………………...124 _Qs )~
Bibliography …...………………………………………….……………….………..……130
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