Basics of OPTICS OF MULTILAYER SYSTEMS PXQ9P<m
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Contents NbK?Dg8WJG
Preface……………………………………………………………………….………..……….4 laRKt"A
Chapter 1 DEeL 48{R
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: '9F{.]
THEORY……………………………………………………………………………………….5 =)UiI3xHk
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 !A<XqzV]
1.1.1 Layered medium electromagnetic field equations………………………………...5 Q24:G
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 $ Q7E#
1.1.3 The Fresnel formulas ……………………………………………………………18 y&I|m
1.1.4 Other ways of determining amplitude transmittance and reflectance of the g!|E! \p
layered medium…………………………………………………………………..19 an5kR_=
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 &CP@]
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 .j'IYlv/P
1.2.1 Matrix calculating method ………………………………………………………22 rL+n$p
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1.2.2 Description of optical coating and presentation of calculation results…………..28 JFk|Uqs(
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 KUqS(u
1.2.4 Approximate formulas…………………………………………………………...33 RxeRO2
1.2.5 Other recurrent methods…………………………………………………………34 z#
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1.2.6 The admittance phase plane……………………………………………………...38 _!g
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1.3 Some common properties of multilayer coatings…………………………………….46 D]`B;aE>A*
1.3.1 The relation between the characteristic matrix and spectral coefficients of a HG 6{`i
multilayer coating ……………………………………………………………….47 =}o>_+"
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 hADb]O
1.3.3 Transmittance and reflectance of the combination of two multilayer pnw4QQ9
subsystems ……………………………………………………………………....54 <T% hfW
1.4 The multilayer coatings optical properties: impact of variations in the layer \ 6
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parameters……………………………………………………………………………...58 = FJ9wiL
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 8ch~UBq/
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral *b l {F\
coefficients: probability assessment method ……………………….…………...63 M&T/vByTn_
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter ZV^J5wYE
variations ………………………………………………………………………...66 3a[(GW _
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 Wn#JY p
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 >2{HH\
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 RV*Zi\ -X
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 K?m:. ZM
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the T S8E9#1a
central wavelength ………………………………………………………………80 `.-k%2 ?/
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 =F-^RnO%\
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 4< >:]
1.6.1 Common expressions for spectral coefficients of filter-type systems near central K}(n;6\
wavelength ………………………………………………………………………88 } $c( $
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 e Em0c]]9
Chapter 2 G [-jZ
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 "J :NW_U
2.1 Synthesis methods based on merit function optimization …………………………...98 % +"AF+c3r
2.1.1 Merit function selection …………………………………………………………98 )g<qEyJR
2.1.2 Merit function optimization ……………………………………………………101 !VTS
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2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 s H[34gCh;
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 =w?cp}HW
2.2.1 Needle-like variations of the refractive index ………………………………….115 Elk$9 < <
2.2.2 The principal idea of the method ………………………………………………119 )_.H #|r
2.2.3 Description of the method ……………………………………………………...124 zO]dQ$r\Z
Bibliography …...………………………………………….……………….………..……130
