Basics of OPTICS OF MULTILAYER SYSTEMS .zdaY,
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Contents #]1 jvB
Preface……………………………………………………………………….………..……….4 %-fXa2
Chapter 1 h C"'cUrcN
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: y-H9fWi8Y&
THEORY……………………………………………………………………………………….5 om`B:=+
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 8*b{8%<K
1.1.1 Layered medium electromagnetic field equations………………………………...5 j<!dpt
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 HP*{1Q@5
1.1.3 The Fresnel formulas ……………………………………………………………18 :F6d XW
1.1.4 Other ways of determining amplitude transmittance and reflectance of the M {' (+a[
layered medium…………………………………………………………………..19 5!'1; GLs
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 a8)2I ~j
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 'C7R*
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1.2.1 Matrix calculating method ………………………………………………………22 -32P}5 8R
1.2.2 Description of optical coating and presentation of calculation results…………..28 w6> P[oW
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ]Kjt@F";
1.2.4 Approximate formulas…………………………………………………………...33 p8j4Tc5tQ>
1.2.5 Other recurrent methods…………………………………………………………34 E7R%G OH
1.2.6 The admittance phase plane……………………………………………………...38 LFi{Q{ E)
1.3 Some common properties of multilayer coatings…………………………………….46 4 0
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1.3.1 The relation between the characteristic matrix and spectral coefficients of a 0s//&'*Q
multilayer coating ……………………………………………………………….47 ,< P"\W
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 2Jiy`(P
1.3.3 Transmittance and reflectance of the combination of two multilayer >3b<
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subsystems ……………………………………………………………………....54 l v:GiA"X
1.4 The multilayer coatings optical properties: impact of variations in the layer @ ^ta)Ev
parameters……………………………………………………………………………...58 qF(i1#
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… !!ZGNZ_
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral rkWy3X{%2<
coefficients: probability assessment method ……………………….…………...63 p3-~cr.LD
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter &X~8S/nPAw
variations ………………………………………………………………………...66 `x?_yogPM
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 URj )]wp /
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 :/SGB3gb1t
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 *B@#A4f"
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 d, i4WKp
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the _&gO>G,uy
central wavelength ………………………………………………………………80 @kDY c8 t9
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 .EWj eVq
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 #+Bz$C O
1.6.1 Common expressions for spectral coefficients of filter-type systems near central D U ,B
wavelength ………………………………………………………………………88 R= Ig !s9
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 7Cz=;
Chapter 2 xa_ IdkV
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 XD6Kp[s
2.1 Synthesis methods based on merit function optimization …………………………...98 Z3wdk6%:}
2.1.1 Merit function selection …………………………………………………………98 :0%[u(
2.1.2 Merit function optimization ……………………………………………………101 2 7dS.6
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 Z;+;_Cw
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 5IzCQqOPgX
2.2.1 Needle-like variations of the refractive index ………………………………….115 ^j.3'}p
2.2.2 The principal idea of the method ………………………………………………119 p;o "i_!
2.2.3 Description of the method ……………………………………………………...124 =C(BZ+-^
Bibliography …...………………………………………….……………….………..……130
