Basics of OPTICS OF MULTILAYER SYSTEMS g%ys|
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Contents XN \rq=
Preface……………………………………………………………………….………..……….4 rkdA4'66w
Chapter 1 ]TtID4qL
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: /c!^(5K
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THEORY……………………………………………………………………………………….5 I
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1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 \?Xoa"^
1.1.1 Layered medium electromagnetic field equations………………………………...5 qv:DpK
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 uB6Mj dp6
1.1.3 The Fresnel formulas ……………………………………………………………18 ;jPiD`Kyv
1.1.4 Other ways of determining amplitude transmittance and reflectance of the psiuoYf
layered medium…………………………………………………………………..19 ]70ZerQ~L
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 oxnI/Z
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 |,H 2ge
1.2.1 Matrix calculating method ………………………………………………………22 .Tw:Y,G
1.2.2 Description of optical coating and presentation of calculation results…………..28 p7izy$Wc
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 /#t::b+>x
1.2.4 Approximate formulas…………………………………………………………...33 #tw_`yh
1.2.5 Other recurrent methods…………………………………………………………34 ,@M<O!%Cs
1.2.6 The admittance phase plane……………………………………………………...38 qMA";Frt3N
1.3 Some common properties of multilayer coatings…………………………………….46 R S>qP;V*-
1.3.1 The relation between the characteristic matrix and spectral coefficients of a T>hm\ !
multilayer coating ……………………………………………………………….47 Q_0_6,Opb
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 = jxy4`oF
1.3.3 Transmittance and reflectance of the combination of two multilayer +RiI5.$=Z
subsystems ……………………………………………………………………....54 f4f)9n
1.4 The multilayer coatings optical properties: impact of variations in the layer NP4u/C<
parameters……………………………………………………………………………...58 c|k(_#\B
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… Qk|+Gj
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 8`1]#Vw
coefficients: probability assessment method ……………………….…………...63 &U([Wd?E2
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter =E(ed, gH8
variations ………………………………………………………………………...66 /m^G 99N
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 >b:5&s\9
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 c7[Ba\Cr4h
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 3'0Jn6(
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Fs =)*6}&
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the \W= Z`w3
central wavelength ………………………………………………………………80 x] R0zol
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 %z.d;[Hs
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 P)Oe?z;G?
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ug"4P.wI
wavelength ………………………………………………………………………88 NMC0y|G
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 3Tw9Uc\vT
Chapter 2 X Vo+ <&
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 Rz& }e@stl
2.1 Synthesis methods based on merit function optimization …………………………...98 ~Dw%
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2.1.1 Merit function selection …………………………………………………………98 bJ6 H6D>
2.1.2 Merit function optimization ……………………………………………………101 c7WOcy@M
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 _^ n>kLd$
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 tWaGCxaE
2.2.1 Needle-like variations of the refractive index ………………………………….115 F,K))325
2.2.2 The principal idea of the method ………………………………………………119 6g#E/{kQw
2.2.3 Description of the method ……………………………………………………...124 ;K4uu<e \
Bibliography …...………………………………………….……………….………..……130
