Basics of OPTICS OF MULTILAYER SYSTEMS S:
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Contents ,UT :wpc^i
Preface……………………………………………………………………….………..……….4 >6zWOYd
Chapter 1 }f] ~{^
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: cbx(
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THEORY……………………………………………………………………………………….5 w^ 8^0i-
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 2 :^
1.1.1 Layered medium electromagnetic field equations………………………………...5 cn$0^7?
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 6bpO#&T
1.1.3 The Fresnel formulas ……………………………………………………………18 4Z{ r
1.1.4 Other ways of determining amplitude transmittance and reflectance of the v`"BXSmp{
layered medium…………………………………………………………………..19 rY=d NK]d
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 c=:A/z{
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 s(Fxi|v;
1.2.1 Matrix calculating method ………………………………………………………22 _~b]/]|z#N
1.2.2 Description of optical coating and presentation of calculation results…………..28 Ymcc|u6 $"
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 n#5 pd;!n
1.2.4 Approximate formulas…………………………………………………………...33 +oa>k
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1.2.5 Other recurrent methods…………………………………………………………34 &K,rNH'R
1.2.6 The admittance phase plane……………………………………………………...38 yuZh ak
1.3 Some common properties of multilayer coatings…………………………………….46 5[$Tpn#K7
1.3.1 The relation between the characteristic matrix and spectral coefficients of a +,0 :L :a
multilayer coating ……………………………………………………………….47 .t%` "C
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 M|'![] -
1.3.3 Transmittance and reflectance of the combination of two multilayer ;u?H# \J,
subsystems ……………………………………………………………………....54 4
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1.4 The multilayer coatings optical properties: impact of variations in the layer z]Mu8
parameters……………………………………………………………………………...58 Si[xyG6=
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… S6|L !pO
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral b@N*W]
coefficients: probability assessment method ……………………….…………...63 ulY<4MN
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 'miY"L:| O
variations ………………………………………………………………………...66 kD 4J{\
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 E1rx uV|9
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 l*4_
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 [- x]%
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 k3B] u.Lo
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the \kksZ4,
central wavelength ………………………………………………………………80 UYOR@x #
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 m wqe@7
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 Eh?,-!SUQn
1.6.1 Common expressions for spectral coefficients of filter-type systems near central \_zp4Xb2
wavelength ………………………………………………………………………88 1ml{oqNj
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 ,~xX[u B
Chapter 2 h*X
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SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ePwoza
2.1 Synthesis methods based on merit function optimization …………………………...98 JlN <w
2.1.1 Merit function selection …………………………………………………………98 -D30(g{O
2.1.2 Merit function optimization ……………………………………………………101 &H@OLyC
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 9^1.nE(R&
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 oSqkAAGz\
2.2.1 Needle-like variations of the refractive index ………………………………….115 Nm=\~LP90
2.2.2 The principal idea of the method ………………………………………………119 |R$/oq
2.2.3 Description of the method ……………………………………………………...124 o;Ma)/P
Bibliography …...………………………………………….……………….………..……130
