Basics of OPTICS OF MULTILAYER SYSTEMS 35 z]pn%L
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Contents k K&tB
Preface……………………………………………………………………….………..……….4 B e}e%Rk
Chapter 1 /:v+:-lU
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: B!GpD@U
THEORY……………………………………………………………………………………….5 z_R^n#A~r
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 6TJ5G8z_
1.1.1 Layered medium electromagnetic field equations………………………………...5 Y(GH/jw
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 E@TX>M-&
1.1.3 The Fresnel formulas ……………………………………………………………18 4O_z|K_ k|
1.1.4 Other ways of determining amplitude transmittance and reflectance of the _F>1b16:/P
layered medium…………………………………………………………………..19 vF"<r,pg
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 E0[!jZ:c
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 7IW:,=Zk8+
1.2.1 Matrix calculating method ………………………………………………………22 JPfNf3<@My
1.2.2 Description of optical coating and presentation of calculation results…………..28 \eF5* {9
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 B+S
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1.2.4 Approximate formulas…………………………………………………………...33 d=V4,:=S
1.2.5 Other recurrent methods…………………………………………………………34 DfwxPt#
1.2.6 The admittance phase plane……………………………………………………...38
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1.3 Some common properties of multilayer coatings…………………………………….46 `GOxFDB.
1.3.1 The relation between the characteristic matrix and spectral coefficients of a zy`4]w$Lj+
multilayer coating ……………………………………………………………….47 0i\ol9,bf
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 5r" BavA
1.3.3 Transmittance and reflectance of the combination of two multilayer 5MV4N [;
subsystems ……………………………………………………………………....54 p 7IJ3YY
1.4 The multilayer coatings optical properties: impact of variations in the layer B%gk[!d }8
parameters……………………………………………………………………………...58 $l-|abLELz
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… )bRe"jxn7
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral u{0+w\xH\
coefficients: probability assessment method ……………………….…………...63 9XWF&6w6yf
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter /*p4(D_A
variations ………………………………………………………………………...66 Ntr5Q
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1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 b9ysxuUdS
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 W!q 'wrIx(
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 ^4(CO[|c~
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 pcXY6[#N
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 3S1V^C-eBx
central wavelength ………………………………………………………………80 cw.Uy(ks|$
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 A[J9v{bD
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 '7o' u]
1.6.1 Common expressions for spectral coefficients of filter-type systems near central hu~02v5
wavelength ………………………………………………………………………88 FQNhn+A
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 Nge _ Ks
Chapter 2 'D%No!+Py
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 :|`' \%zW-
2.1 Synthesis methods based on merit function optimization …………………………...98 sN|-V+7&j
2.1.1 Merit function selection …………………………………………………………98 8yz A
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2.1.2 Merit function optimization ……………………………………………………101 :}x\&]uC#k
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 lMAmico
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 ka{9{/dz3
2.2.1 Needle-like variations of the refractive index ………………………………….115 C.L5\"%
2.2.2 The principal idea of the method ………………………………………………119 $de_>
2.2.3 Description of the method ……………………………………………………...124 'KpCPOhfR
Bibliography …...………………………………………….……………….………..……130
