Basics of OPTICS OF MULTILAYER SYSTEMS }"x*xN
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Contents I`kp5lGD2
Preface……………………………………………………………………….………..……….4 r97[!y1gt
Chapter 1 D5b _m|7%
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: v `w?QIB]
THEORY……………………………………………………………………………………….5 g DG m32
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 L #
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1.1.1 Layered medium electromagnetic field equations………………………………...5 @/(7kh +
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 jq)| 7_N
1.1.3 The Fresnel formulas ……………………………………………………………18 z n!
1.1.4 Other ways of determining amplitude transmittance and reflectance of the & FV lTo1
layered medium…………………………………………………………………..19 [\
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1.1.5 Transmittance, reflectance and absorptance …………………………………….20 K-C,+ eI
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ,O)\,t g
1.2.1 Matrix calculating method ………………………………………………………22 xm0#4GFUS
1.2.2 Description of optical coating and presentation of calculation results…………..28 7YjucPH#
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 kw:D~E (
1.2.4 Approximate formulas…………………………………………………………...33 .6F3;bg R7
1.2.5 Other recurrent methods…………………………………………………………34 Ux
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1.2.6 The admittance phase plane……………………………………………………...38 4Z9 3 g {
1.3 Some common properties of multilayer coatings…………………………………….46 ZC*d^n]x.
1.3.1 The relation between the characteristic matrix and spectral coefficients of a I=y j
multilayer coating ……………………………………………………………….47 'sBXH EZA]
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 2rtP.*dd
1.3.3 Transmittance and reflectance of the combination of two multilayer :fVMM7
subsystems ……………………………………………………………………....54 Z;'.pU~
1.4 The multilayer coatings optical properties: impact of variations in the layer }t3FAy(%
parameters……………………………………………………………………………...58 <^_Vl8%
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… k1U8wdoT
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral J8BT%
coefficients: probability assessment method ……………………….…………...63 o=#
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter
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variations ………………………………………………………………………...66 dKQV4dc>
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 $jh>zf
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 ^ [[ b$ h$
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 r{R7"
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 U" Hquo
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the M6*{#Y?
central wavelength ………………………………………………………………80 $,,>R[; w
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 K!c@aD:#
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 ('6g)@=\U
1.6.1 Common expressions for spectral coefficients of filter-type systems near central %e7(HfW-U
wavelength ………………………………………………………………………88 [ky6E*dV`
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 5v F}F^
Chapter 2 "5JN Xo,H
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 &:I
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2.1 Synthesis methods based on merit function optimization …………………………...98 ~P#zhHw
2.1.1 Merit function selection …………………………………………………………98 za]p,bMX
2.1.2 Merit function optimization ……………………………………………………101 H. .Zv Gu
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 %s@S|<
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2.2 Synthesis method based on the needle-like variations of the refractive index ……114 EN )A"
2.2.1 Needle-like variations of the refractive index ………………………………….115 TWR $D
2.2.2 The principal idea of the method ………………………………………………119 B4:l* P'
2.2.3 Description of the method ……………………………………………………...124 1 j^c
Bibliography …...………………………………………….……………….………..……130
