Basics of OPTICS OF MULTILAYER SYSTEMS #YABb wH
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Contents G<dWh.|`=
Preface……………………………………………………………………….………..……….4 TGSUbBgU
Chapter 1 u]<7}R@s
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: <1^ \,cI2
THEORY……………………………………………………………………………………….5 CLQE@kF;
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 aPELA U-
1.1.1 Layered medium electromagnetic field equations………………………………...5 $|0?$U7 !
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ,McwPHEMB
1.1.3 The Fresnel formulas ……………………………………………………………18 [{K
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ZUkrJ'
layered medium…………………………………………………………………..19 :)~idV lV
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 @bk Z< Gq
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ;usv/8
1.2.1 Matrix calculating method ………………………………………………………22 ?PpGBm2f*
1.2.2 Description of optical coating and presentation of calculation results…………..28
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1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 E#5$O2b#
1.2.4 Approximate formulas…………………………………………………………...33 F:3* i^ L
1.2.5 Other recurrent methods…………………………………………………………34 " .@}]z8
1.2.6 The admittance phase plane……………………………………………………...38 "s?!1v(v
1.3 Some common properties of multilayer coatings…………………………………….46 _0razNk
1.3.1 The relation between the characteristic matrix and spectral coefficients of a dg(fD>+
multilayer coating ……………………………………………………………….47 "OdR"M(G\
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 2r 0u[
1.3.3 Transmittance and reflectance of the combination of two multilayer Y{Yp N
subsystems ……………………………………………………………………....54 ~ qjnV
1.4 The multilayer coatings optical properties: impact of variations in the layer ^GS,4[) H
parameters……………………………………………………………………………...58 z~ Ec *
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… =Wgz \uGJ
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral *[ @k=!73
coefficients: probability assessment method ……………………….…………...63 J&vmW}&
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter $<]G#&F
variations ………………………………………………………………………...66 | Z"5zL10
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ~_;x o?@ba
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 yj q~O~
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 N:_U2[V^d
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 bOY<C%;C
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the ;Wo\MN
central wavelength ………………………………………………………………80 Os9;;^k
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 >3{l "SPU
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 b `TA2h
1.6.1 Common expressions for spectral coefficients of filter-type systems near central QcXqMx
wavelength ………………………………………………………………………88 yv2&K=rZp
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 =}8:zO
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Chapter 2 cb9ndZ)v.
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 _NkVi_UX
2.1 Synthesis methods based on merit function optimization …………………………...98
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2.1.1 Merit function selection …………………………………………………………98 &+K:pU?[$
2.1.2 Merit function optimization ……………………………………………………101 3lZ5N@z69
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 Z*M]AvO+#
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 P
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2.2.1 Needle-like variations of the refractive index ………………………………….115 H*h 7Y*([
2.2.2 The principal idea of the method ………………………………………………119 A.D@21 py
2.2.3 Description of the method ……………………………………………………...124 J7 p '_\
Bibliography …...………………………………………….……………….………..……130
