Basics of OPTICS OF MULTILAYER SYSTEMS nM]Sb|1:
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Contents KA^r,I w
Preface……………………………………………………………………….………..……….4 Lc L|'S)
Chapter 1 e\o>(is
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: @q8h'@sX
THEORY……………………………………………………………………………………….5 bp"@vlv
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 Z |l/6L8
1.1.1 Layered medium electromagnetic field equations………………………………...5 !Miw.UmPm
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 _4~ 'K?
1.1.3 The Fresnel formulas ……………………………………………………………18 9 *` (*>S
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ?4QX;s7
layered medium…………………………………………………………………..19 ~\ uI&S5
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 h zv4+1Wd[
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 d#l z^Ls2
1.2.1 Matrix calculating method ………………………………………………………22 <<#j?%
1.2.2 Description of optical coating and presentation of calculation results…………..28 {|:ro!&
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 Y7 q=]
1.2.4 Approximate formulas…………………………………………………………...33 X1LwIa>
1.2.5 Other recurrent methods…………………………………………………………34 cviPCjM
1.2.6 The admittance phase plane……………………………………………………...38 e$
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1.3 Some common properties of multilayer coatings…………………………………….46 Ep
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1.3.1 The relation between the characteristic matrix and spectral coefficients of a J*I G]2'H
multilayer coating ……………………………………………………………….47 n *yVfI
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 #H8% BZy V
1.3.3 Transmittance and reflectance of the combination of two multilayer ]|6)'L&]*s
subsystems ……………………………………………………………………....54 <d`ksZ+
1.4 The multilayer coatings optical properties: impact of variations in the layer fm u;Pb]r
parameters……………………………………………………………………………...58 8 16OV
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… TA d~#jB9
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral %t. L;G
coefficients: probability assessment method ……………………….…………...63 c}$C=s5 h}
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter Ej;BI#gx=
variations ………………………………………………………………………...66 '=eG[#gy
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 J/T$.*X
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 C~o\Q# *j
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 6 $ .I>8n
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ; fOkR+
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the q`u ^ sc
central wavelength ………………………………………………………………80 A3su!I2S
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 Pjvzefp
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 %qI.Qw$
1.6.1 Common expressions for spectral coefficients of filter-type systems near central =PQMd
wavelength ………………………………………………………………………88 Gt|m;o
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 3 *g>kRMJ
Chapter 2 /O *4/
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 &xg KHbg
2.1 Synthesis methods based on merit function optimization …………………………...98 45
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2.1.1 Merit function selection …………………………………………………………98 ZYMacTeJjg
2.1.2 Merit function optimization ……………………………………………………101 v-utDQT3
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 RkMs!M
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 He1hgJ)N
2.2.1 Needle-like variations of the refractive index ………………………………….115 O5v)}4
2.2.2 The principal idea of the method ………………………………………………119 j92X" yB
2.2.3 Description of the method ……………………………………………………...124 X"sc'#G T
Bibliography …...………………………………………….……………….………..……130
