Basics of OPTICS OF MULTILAYER SYSTEMS lEi,duS)
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Contents s# w+^Mw$
Preface……………………………………………………………………….………..……….4 Bp\io$(%
Chapter 1 zF /}s_><*
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: ))c;DJc
THEORY……………………………………………………………………………………….5 k/l@P
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 K-wjQ|*1
1.1.1 Layered medium electromagnetic field equations………………………………...5 T(+F6 d=1
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 #%VprcEK
1.1.3 The Fresnel formulas ……………………………………………………………18 aM 0kV.O
1.1.4 Other ways of determining amplitude transmittance and reflectance of the kN 9S;o@ )
layered medium…………………………………………………………………..19 3M{!yPlj
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 N&NOh|YS
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 oSNB\G<
1.2.1 Matrix calculating method ………………………………………………………22 - >wY|7
1.2.2 Description of optical coating and presentation of calculation results…………..28 iMx+y5O
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 3sGrX"0D
1.2.4 Approximate formulas…………………………………………………………...33 MIa].S#
1.2.5 Other recurrent methods…………………………………………………………34 4 E3@O
1.2.6 The admittance phase plane……………………………………………………...38 J'9&dt
1.3 Some common properties of multilayer coatings…………………………………….46 4W9 !_:j(j
1.3.1 The relation between the characteristic matrix and spectral coefficients of a h x4!P( o1
multilayer coating ……………………………………………………………….47 ;TSnIC)c
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 |}Mkn4
1.3.3 Transmittance and reflectance of the combination of two multilayer $Br^c< y
subsystems ……………………………………………………………………....54 s
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1.4 The multilayer coatings optical properties: impact of variations in the layer &o"Hb=k<
parameters……………………………………………………………………………...58 .u7d
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ?3SlvKI}H`
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral +a zPpGZ=
coefficients: probability assessment method ……………………….…………...63 +^YV>;
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter UQ|0Aqwq
variations ………………………………………………………………………...66 _zh}%#6L
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 =@pm-rI|-
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 e::5|6x
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 Y@eHp-[
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 1@)]+* F*z
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the SJU93n"G/
central wavelength ………………………………………………………………80 {J})f>x<xM
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 i`& yPw
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 1 \YX |
1.6.1 Common expressions for spectral coefficients of filter-type systems near central n_ Um)GI>
wavelength ………………………………………………………………………88 C,2IET
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92
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Chapter 2 K'?ab 0
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ccD+o$7LT
2.1 Synthesis methods based on merit function optimization …………………………...98 `m2F.^qrr
2.1.1 Merit function selection …………………………………………………………98 /bCrpc H
2.1.2 Merit function optimization ……………………………………………………101 3kR- WgVF,
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 x?CjRvT $
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 jv2l_
2.2.1 Needle-like variations of the refractive index ………………………………….115 W[^XG\
2.2.2 The principal idea of the method ………………………………………………119 83R"!w18
2.2.3 Description of the method ……………………………………………………...124 ls*^ 3^O
Bibliography …...………………………………………….……………….………..……130
