Basics of OPTICS OF MULTILAYER SYSTEMS s<#N]mp'
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Contents %xh?!s|G(
Preface……………………………………………………………………….………..……….4 c l2ze
Chapter 1 QB9A-U <J
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: .J:;_4x
THEORY……………………………………………………………………………………….5 0w+5'lOg
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 &$Ci}{{n#
1.1.1 Layered medium electromagnetic field equations………………………………...5 .hgH 9$\
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 omT(3)TP
1.1.3 The Fresnel formulas ……………………………………………………………18 mOSCkp{<e
1.1.4 Other ways of determining amplitude transmittance and reflectance of the PuU*vs3
layered medium…………………………………………………………………..19 iGQ n/Xdo
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ]
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 U~hCn+0
1.2.1 Matrix calculating method ………………………………………………………22 ,aYU$~ o#
1.2.2 Description of optical coating and presentation of calculation results…………..28 Fi/jR0]e2
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ? AT (S
1.2.4 Approximate formulas…………………………………………………………...33 Ba<#1p7_
1.2.5 Other recurrent methods…………………………………………………………34 ^K/G 5
1.2.6 The admittance phase plane……………………………………………………...38 m/KjJ"s,
1.3 Some common properties of multilayer coatings…………………………………….46 _Z0\`kba+
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ' me:Zd
multilayer coating ……………………………………………………………….47 0hb/`[Q
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 +yiU@K).0
1.3.3 Transmittance and reflectance of the combination of two multilayer 2 $
subsystems ……………………………………………………………………....54 *n;>p_#
1.4 The multilayer coatings optical properties: impact of variations in the layer k5g@myb-
parameters……………………………………………………………………………...58 !&\meS{
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… %L 28$c3p
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral dUZ $wbV%h
coefficients: probability assessment method ……………………….…………...63 K^8@'#S
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter h2AGEg'g2[
variations ………………………………………………………………………...66 :K: f^o]s
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 -#daBx
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1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 t+jIHo
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 u9 %;{:]h
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 #Af)n(
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the $>|?k$(x
central wavelength ………………………………………………………………80 *J.c $1#h
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 NuI T{3S
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 ]|t9B/()i
1.6.1 Common expressions for spectral coefficients of filter-type systems near central l,^xX = ,
wavelength ………………………………………………………………………88 J/L)3y
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 \ ?r$&K]4
Chapter 2 3V"dG1?
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 f8R+7Ykx
2.1 Synthesis methods based on merit function optimization …………………………...98 eS*
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2.1.1 Merit function selection …………………………………………………………98 +J% 6bn)U
2.1.2 Merit function optimization ……………………………………………………101 3g^IXm:K$
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 d8D yv#gT
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 @h!U
2.2.1 Needle-like variations of the refractive index ………………………………….115 |e~u!V\m
2.2.2 The principal idea of the method ………………………………………………119 2V
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2.2.3 Description of the method ……………………………………………………...124 >'ie!VW@
Bibliography …...………………………………………….……………….………..……130
