Basics of OPTICS OF MULTILAYER SYSTEMS 2$VS H&
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Contents W7@Vm a`
Preface……………………………………………………………………….………..……….4 Ts|;5ya5m
Chapter 1 <OJqeUo+*\
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: -j:yE Z4Oy
THEORY……………………………………………………………………………………….5 )K`tnb.Pf
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 AxF$7J(
1.1.1 Layered medium electromagnetic field equations………………………………...5 rusYNb1J
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 QFoCi&
1.1.3 The Fresnel formulas ……………………………………………………………18 L/%{,7l<^?
1.1.4 Other ways of determining amplitude transmittance and reflectance of the Fg}t{e]3a
layered medium…………………………………………………………………..19 T &bB8tQk
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 rOj(THoc{
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 )vg@Kc26
1.2.1 Matrix calculating method ………………………………………………………22 ) ]<^*b>
1.2.2 Description of optical coating and presentation of calculation results…………..28 ='C;^
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1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 D0MW~Y 6{
1.2.4 Approximate formulas…………………………………………………………...33 =<zlg~i
1.2.5 Other recurrent methods…………………………………………………………34 ,t9C P
1.2.6 The admittance phase plane……………………………………………………...38 $2blF)uYE
1.3 Some common properties of multilayer coatings…………………………………….46 yS[ HYq
1.3.1 The relation between the characteristic matrix and spectral coefficients of a vq-;wdq?2
multilayer coating ……………………………………………………………….47 qK ~]au:C
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 o]&P0 b
1.3.3 Transmittance and reflectance of the combination of two multilayer C7}iwklcsa
subsystems ……………………………………………………………………....54 RzFxO
1.4 The multilayer coatings optical properties: impact of variations in the layer ~ahu{A 4Bw
parameters……………………………………………………………………………...58 V`YmGo
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… A`>^A]%
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral !x||ObW\H
coefficients: probability assessment method ……………………….…………...63 $(08!U
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 7 s2*VKr
variations ………………………………………………………………………...66 _F^ NX %
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 5lM 3In@
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 ~x@V"rxGw
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 Qv;b$by3
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 9 }42s +
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the JS<w43/j
central wavelength ………………………………………………………………80 dldS7Q
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 A1z<2.R
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 QA)"3g
1.6.1 Common expressions for spectral coefficients of filter-type systems near central BJLe E}= H
wavelength ………………………………………………………………………88 vB M<M3
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 g?Rq .py]!
Chapter 2 LcNI$g;}Yf
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 s.KfMJ"u[
2.1 Synthesis methods based on merit function optimization …………………………...98 \8 v ZZ t
2.1.1 Merit function selection …………………………………………………………98 _G/uDP%
2.1.2 Merit function optimization ……………………………………………………101 4$ah~E>,t
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 M-F{I%Vx
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 +#A~O4%t
2.2.1 Needle-like variations of the refractive index ………………………………….115 i3Xo6! Q
2.2.2 The principal idea of the method ………………………………………………119 Gf9O\wrs
2.2.3 Description of the method ……………………………………………………...124 *TCV}=V G
Bibliography …...………………………………………….……………….………..……130
