Basics of OPTICS OF MULTILAYER SYSTEMS `a-Bji?
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Contents 64SW
Preface……………………………………………………………………….………..……….4 ^#2xQ5h
Chapter 1 '[%jjUU
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: d60c$?"]a(
THEORY……………………………………………………………………………………….5 2v4W6R
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 N5yJ'i ~,M
1.1.1 Layered medium electromagnetic field equations………………………………...5 87pnSj/X"
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 )5U !>,fT
1.1.3 The Fresnel formulas ……………………………………………………………18 \]t]#D>0
1.1.4 Other ways of determining amplitude transmittance and reflectance of the l/[pEUYU
layered medium…………………………………………………………………..19 b)d^ `J
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ~H7!MC~K
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 nMkOUW:T!
1.2.1 Matrix calculating method ………………………………………………………22 JT}.F!q6E
1.2.2 Description of optical coating and presentation of calculation results…………..28 uN8/Q2
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 :Pc(DfkS
1.2.4 Approximate formulas…………………………………………………………...33 36nyu_h:R
1.2.5 Other recurrent methods…………………………………………………………34 '|_/lz $h
1.2.6 The admittance phase plane……………………………………………………...38 UA dz-)$
1.3 Some common properties of multilayer coatings…………………………………….46 k; ;viT
1.3.1 The relation between the characteristic matrix and spectral coefficients of a B4I BuS
multilayer coating ……………………………………………………………….47 iM"asEU
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 GKCM|Y
1.3.3 Transmittance and reflectance of the combination of two multilayer V n ^)
subsystems ……………………………………………………………………....54 ^}hJL7O'
1.4 The multilayer coatings optical properties: impact of variations in the layer ndqckT@93
parameters……………………………………………………………………………...58 7H4L-J3
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… +^Fp&K+^
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 7N|
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coefficients: probability assessment method ……………………….…………...63 &Bm&i.r
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter -; vT<G3
variations ………………………………………………………………………...66 Y K Y2Cw
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 mf$Sa58
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 Oo1ecbY
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 MF^_ Z3GS'
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 RtwUb(wn6
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the PYu$1o9+N
central wavelength ………………………………………………………………80 eSn$k:\W
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 H Ad%k$Xu{
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 Od -Ax+Hp
1.6.1 Common expressions for spectral coefficients of filter-type systems near central TU%bOAKF\
wavelength ………………………………………………………………………88 (vnoP< 0
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 #~S>K3(
Chapter 2 -R :X<eb
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 \ADLMj`F|
2.1 Synthesis methods based on merit function optimization …………………………...98 |kseKZ3
2.1.1 Merit function selection …………………………………………………………98 Q(e{~
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2.1.2 Merit function optimization ……………………………………………………101 'AWp6L @
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 x}|+sS,g
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 YQYX, b
2.2.1 Needle-like variations of the refractive index ………………………………….115 JCD?qeTg
2.2.2 The principal idea of the method ………………………………………………119 IT18v[-G
2.2.3 Description of the method ……………………………………………………...124 SB/3jH
Bibliography …...………………………………………….……………….………..……130
