Basics of OPTICS OF MULTILAYER SYSTEMS S#\Cyn2(t
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Preface……………………………………………………………………….………..……….4 M+L0 X$}NZ
Chapter 1 @DyMq3Gt?&
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: u"kB`|| (
THEORY……………………………………………………………………………………….5 w.Go]dpK
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ( z%OK[
1.1.1 Layered medium electromagnetic field equations………………………………...5 =%+xNOdN7?
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 qn `
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1.1.3 The Fresnel formulas ……………………………………………………………18 qvRs1yr?q
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 4n2*2
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layered medium…………………………………………………………………..19 8b+%:eJ
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 l D]?9K29
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ;oRgg'k<
1.2.1 Matrix calculating method ………………………………………………………22 >+*lG>!z
1.2.2 Description of optical coating and presentation of calculation results…………..28 - 4S4I
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 IVG77+O# }
1.2.4 Approximate formulas…………………………………………………………...33 M =GF@C;b
1.2.5 Other recurrent methods…………………………………………………………34 e`% <D[-
1.2.6 The admittance phase plane……………………………………………………...38 @G=_nZxv
1.3 Some common properties of multilayer coatings…………………………………….46 iM{cr&0
1.3.1 The relation between the characteristic matrix and spectral coefficients of a -M`+hVs?
multilayer coating ……………………………………………………………….47 5K$d4 KT
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51
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1.3.3 Transmittance and reflectance of the combination of two multilayer . Kk'N
subsystems ……………………………………………………………………....54 7T=:dv
1.4 The multilayer coatings optical properties: impact of variations in the layer *G M.2``e
parameters……………………………………………………………………………...58
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… wUmcA~3D
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral .IORvP-M&
coefficients: probability assessment method ……………………….…………...63 %eE 6\f%g
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter YHo*IX')C?
variations ………………………………………………………………………...66 C0'_bTfB
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 O4,? C)
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 *g 2N&U
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 Mog!pm c{
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Qx77%L4
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the <7J\8JR&=
central wavelength ………………………………………………………………80 / U"3LX
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 2sT\+C&H
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 BE," lX
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ^1[u'DW4
wavelength ………………………………………………………………………88 6?3\P>`3Y
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 c]/&xRd
Chapter 2 UjS ,<>fm
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 7 gT^ZL
2.1 Synthesis methods based on merit function optimization …………………………...98 O@,9a~Ghd
2.1.1 Merit function selection …………………………………………………………98 6>/g`%`N
2.1.2 Merit function optimization ……………………………………………………101 h, P#)^"
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 K=;oZYNd
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 =' #yG(h
2.2.1 Needle-like variations of the refractive index ………………………………….115 }<G#bh6;Q
2.2.2 The principal idea of the method ………………………………………………119 U j> bWa`
2.2.3 Description of the method ……………………………………………………...124 ykG^(.E
Bibliography …...………………………………………….……………….………..……130
