Basics of OPTICS OF MULTILAYER SYSTEMS Q1RUmIe_&
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Preface……………………………………………………………………….………..……….4 :?:R5_Nd=
Chapter 1 3XhLn/@
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: &/$3>MD2`
THEORY……………………………………………………………………………………….5 &{S@v9~IT
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 @6V kNe9
1.1.1 Layered medium electromagnetic field equations………………………………...5 H(DI /"N
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 USV;j%U4*
1.1.3 The Fresnel formulas ……………………………………………………………18 y6&o+; I$[
1.1.4 Other ways of determining amplitude transmittance and reflectance of the TE-(Zil\
layered medium…………………………………………………………………..19 W.> }5uVl6
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 @Uq cym.
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 @wh-.M D
1.2.1 Matrix calculating method ………………………………………………………22 K
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1.2.2 Description of optical coating and presentation of calculation results…………..28 6OZ n7:)Y
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 4R& pb1eF
1.2.4 Approximate formulas…………………………………………………………...33 mV|Z5 = f
1.2.5 Other recurrent methods…………………………………………………………34 M<b a+Qn$
1.2.6 The admittance phase plane……………………………………………………...38 sPRs;to-
1.3 Some common properties of multilayer coatings…………………………………….46 +K48c,gt?
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 3-_`x9u*
multilayer coating ……………………………………………………………….47 t]+h.
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 v(l:N@L
1.3.3 Transmittance and reflectance of the combination of two multilayer oT9qd@uQ0:
subsystems ……………………………………………………………………....54 cD 9.L
1.4 The multilayer coatings optical properties: impact of variations in the layer e\ ! i c
parameters……………………………………………………………………………...58 ese?; 1 r
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ?-=< 7
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1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 4K$_d,4`U
coefficients: probability assessment method ……………………….…………...63 k# x"'yZ
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter
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variations ………………………………………………………………………...66 ^\w!D{Y7Q
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 r^`~GG!,Q
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 y)T|1)
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 7w?N-Q$y
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 4d%QJ 7y
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the F+/#ug I
central wavelength ………………………………………………………………80 P"r 7m
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 +krDmU9(
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 _.5AB E
1.6.1 Common expressions for spectral coefficients of filter-type systems near central gZ6tb p,X
wavelength ………………………………………………………………………88 |\N))K-2D
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 nQd~i0`vB
Chapter 2 AX6l=jFZx
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 K*N 8Vpz(
2.1 Synthesis methods based on merit function optimization …………………………...98 Bo ofJ m
2.1.1 Merit function selection …………………………………………………………98 A:V/i:IZfR
2.1.2 Merit function optimization ……………………………………………………101 &J ,&>CFc
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 uwu`ms7z 2
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 p;) @R$*
2.2.1 Needle-like variations of the refractive index ………………………………….115 K&up1nZ@(
2.2.2 The principal idea of the method ………………………………………………119 &W
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2.2.3 Description of the method ……………………………………………………...124 YT<(2u#Ng
Bibliography …...………………………………………….……………….………..……130
