Basics of OPTICS OF MULTILAYER SYSTEMS >b/k|?xP
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Contents
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Preface……………………………………………………………………….………..……….4 0%q{UW2
Chapter 1 )- Wn'C' Z
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: x Iq"[?m
THEORY……………………………………………………………………………………….5 n9mM5H47
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 BIHHRCe:@n
1.1.1 Layered medium electromagnetic field equations………………………………...5 %nG ~u,_2f
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 tDuUAI54
1.1.3 The Fresnel formulas ……………………………………………………………18 c)n0 D=
1.1.4 Other ways of determining amplitude transmittance and reflectance of the p:
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layered medium…………………………………………………………………..19 8as$h*W h
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 wXIe5
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ;N> {1
1.2.1 Matrix calculating method ………………………………………………………22 2:6Y83
1.2.2 Description of optical coating and presentation of calculation results…………..28 +lk\oj$S+
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 z_[ 3IAZ
1.2.4 Approximate formulas…………………………………………………………...33 h~^qG2TYWq
1.2.5 Other recurrent methods…………………………………………………………34 Pv/%s) &y&
1.2.6 The admittance phase plane……………………………………………………...38 5Qm .ECXV
1.3 Some common properties of multilayer coatings…………………………………….46 w;h\Y+Myyk
1.3.1 The relation between the characteristic matrix and spectral coefficients of a jmA{rD W
multilayer coating ……………………………………………………………….47 I1}{~@
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 L`VQ{|&3V
1.3.3 Transmittance and reflectance of the combination of two multilayer 0W<nE[U
subsystems ……………………………………………………………………....54 ?
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1.4 The multilayer coatings optical properties: impact of variations in the layer )sz 2 9
parameters……………………………………………………………………………...58 \CEnOq
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… v2W"+QS}u
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ys"mP* wD
coefficients: probability assessment method ……………………….…………...63 sQ3ayB`
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter ,~=z_G`R
variations ………………………………………………………………………...66 n<Xm%KH.
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 19YJ`(L`x
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 :b3l J-dB
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 }IalgQ(i
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 <EM LiiNY
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the =+sIX3
central wavelength ………………………………………………………………80 :Jsz"vCg&s
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 KWuj_.;
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 TckR_0LNV
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ?T% K +
wavelength ………………………………………………………………………88 ;^H+
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1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 | Bf:pG!
Chapter 2 3<.j`JB@ &
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 { P\8g8
2.1 Synthesis methods based on merit function optimization …………………………...98 M0" g/W
2.1.1 Merit function selection …………………………………………………………98 ~sU!
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2.1.2 Merit function optimization ……………………………………………………101 5yN8%_)T
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 6@_@nlA<1
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 6w`}+3
2.2.1 Needle-like variations of the refractive index ………………………………….115 $d"f/bRWy
2.2.2 The principal idea of the method ………………………………………………119 4`'BaUU(
2.2.3 Description of the method ……………………………………………………...124 pl^"1 Z=*
Bibliography …...………………………………………….……………….………..……130
