Basics of OPTICS OF MULTILAYER SYSTEMS )$Ib6tYY
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Contents s +S6'g--
Preface……………………………………………………………………….………..……….4 M3KK^YRN
Chapter 1 x^[0UA]S9
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: ^K[xVB(&
THEORY……………………………………………………………………………………….5 FDiDHOR
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 5R.jhYAj
1.1.1 Layered medium electromagnetic field equations………………………………...5 W1o6Sh8v(
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ,%/F,O+#
1.1.3 The Fresnel formulas ……………………………………………………………18 yAGQD[ih
1.1.4 Other ways of determining amplitude transmittance and reflectance of the E}w5.1
layered medium…………………………………………………………………..19 hb1h.F
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 VZamR}x
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 :k_)Bh?+
1.2.1 Matrix calculating method ………………………………………………………22 Z{ YuX
1.2.2 Description of optical coating and presentation of calculation results…………..28 9gK1Gx:
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 zBI2cB8;P
1.2.4 Approximate formulas…………………………………………………………...33 1A;,"8kBd
1.2.5 Other recurrent methods…………………………………………………………34 +c]D2@ctG
1.2.6 The admittance phase plane……………………………………………………...38 ;gaTSYVe
1.3 Some common properties of multilayer coatings…………………………………….46 ]EN&EA"<
1.3.1 The relation between the characteristic matrix and spectral coefficients of a RigS1A\2l
multilayer coating ……………………………………………………………….47 "7(@I^'t6
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 "{S4YA
1.3.3 Transmittance and reflectance of the combination of two multilayer kMzDmgoxNg
subsystems ……………………………………………………………………....54 9-A@2&J1
1.4 The multilayer coatings optical properties: impact of variations in the layer fk2Uxg=[
parameters……………………………………………………………………………...58 Bd>ATc+580
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… v7+|G'8M`
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral +N~{6*@uz,
coefficients: probability assessment method ……………………….…………...63 .;vd
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter i)'u!V
variations ………………………………………………………………………...66 b5|l8<\
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 &8%^o9sH
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 i7\>uni
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 +K=RM qM-8
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 3!?QQT,!)
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the Ym]rG
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central wavelength ………………………………………………………………80 &&}c R:U,
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 z&qOu8Jh
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 KJ-Q$
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1.6.1 Common expressions for spectral coefficients of filter-type systems near central oqK:
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wavelength ………………………………………………………………………88 M-!#-l
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 ]/R>nT
Chapter 2 >NpW$P{'
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 `Sj8IxO
2.1 Synthesis methods based on merit function optimization …………………………...98 @X/-p3729
2.1.1 Merit function selection …………………………………………………………98 v!mP9c
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2.1.2 Merit function optimization ……………………………………………………101 N7s9"i
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 "VsS-b^ P
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 ri9n.-xs
2.2.1 Needle-like variations of the refractive index ………………………………….115 uxq#q1
2.2.2 The principal idea of the method ………………………………………………119 K^I$05idi
2.2.3 Description of the method ……………………………………………………...124 Uzn
Bibliography …...………………………………………….……………….………..……130