Basics of OPTICS OF MULTILAYER SYSTEMS |tP1,[w">
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Contents .Ej `!
Preface……………………………………………………………………….………..……….4 g-U'{I5F
Chapter 1 Pk T&zSQA
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: oOy@X =cw
THEORY……………………………………………………………………………………….5 )p4o4 aM
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ^ ]SS\=7
1.1.1 Layered medium electromagnetic field equations………………………………...5 V=I au_
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 #! u P >/
1.1.3 The Fresnel formulas ……………………………………………………………18 [Maon.t!l
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ndT:,"s
layered medium…………………………………………………………………..19 FjRJSMwO,
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 (P~Jzp9u
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 z[b, :G
1.2.1 Matrix calculating method ………………………………………………………22 B++.tQ=X.
1.2.2 Description of optical coating and presentation of calculation results…………..28 z{bM W^F
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 S&}7jRH1
1.2.4 Approximate formulas…………………………………………………………...33 8N4W}YBs
1.2.5 Other recurrent methods…………………………………………………………34 C_dsYuQ5R
1.2.6 The admittance phase plane……………………………………………………...38 `sQ\j Nu
1.3 Some common properties of multilayer coatings…………………………………….46 .%+'Ts#ie
1.3.1 The relation between the characteristic matrix and spectral coefficients of a [bUM x
multilayer coating ……………………………………………………………….47 h']R P
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 E
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1.3.3 Transmittance and reflectance of the combination of two multilayer l <<0:~+q
subsystems ……………………………………………………………………....54 "B*a|
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1.4 The multilayer coatings optical properties: impact of variations in the layer n9 ]^v-]K
parameters……………………………………………………………………………...58
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 7f8%WD)
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral !I-+wc{ss
coefficients: probability assessment method ……………………….…………...63 \xkLI:*\
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter ~0w7E0DE[
variations ………………………………………………………………………...66 *#;8 mM
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 N(vzxx^
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 C6 ,GgDH`
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 'C+z
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 #HWz.Wb
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the W:O<9ZbQ_
central wavelength ………………………………………………………………80 T#6'] D
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 `I ,A7b
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 t1b$,jHmKl
1.6.1 Common expressions for spectral coefficients of filter-type systems near central Y;6<AIx>
wavelength ………………………………………………………………………88 JaKR#Y$+ ~
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 q -M&f@Il
Chapter 2 OOQf a#~k
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 nM x0 +N1
2.1 Synthesis methods based on merit function optimization …………………………...98 Ziu f<X{
2.1.1 Merit function selection …………………………………………………………98 \#1!qeF
2.1.2 Merit function optimization ……………………………………………………101 6[$kEKOY=
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 `IOp*8
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 z@> z.d4
2.2.1 Needle-like variations of the refractive index ………………………………….115 7J~6J .m
2.2.2 The principal idea of the method ………………………………………………119 ;_am gRP7$
2.2.3 Description of the method ……………………………………………………...124 y$r^UjJEO
Bibliography …...………………………………………….……………….………..……130
