Basics of OPTICS OF MULTILAYER SYSTEMS WoC\a^V
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Contents <T4 7kL I
Preface……………………………………………………………………….………..……….4 /S-/SF:>g
Chapter 1 T +| J19
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: !8H!F j`|j
THEORY……………………………………………………………………………………….5 .2 N_?
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 E1mI Xd;.
1.1.1 Layered medium electromagnetic field equations………………………………...5 xF\}.OfWG
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 BV wRPt
1.1.3 The Fresnel formulas ……………………………………………………………18 z/Mhu{ttL
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ;@ h'Mb
layered medium…………………………………………………………………..19 I eqWR4Y
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 _"Fbj Q"
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 n]kQ tjJ
1.2.1 Matrix calculating method ………………………………………………………22 qkZ5+2m
1.2.2 Description of optical coating and presentation of calculation results…………..28 |TNi Ky
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 U>3%!83kF
1.2.4 Approximate formulas…………………………………………………………...33 59"Nn\}3gE
1.2.5 Other recurrent methods…………………………………………………………34 .j+2x[`l
1.2.6 The admittance phase plane……………………………………………………...38 o{ YW
1.3 Some common properties of multilayer coatings…………………………………….46 ,& \&::R
1.3.1 The relation between the characteristic matrix and spectral coefficients of a q_%w
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multilayer coating ……………………………………………………………….47 W ? 6
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 :c+a-Py
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1.3.3 Transmittance and reflectance of the combination of two multilayer oK(W)[u
subsystems ……………………………………………………………………....54 .w t>.mUH
1.4 The multilayer coatings optical properties: impact of variations in the layer w2M
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parameters……………………………………………………………………………...58 CU7iv a
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… *cb
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1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 3>:zo:;
coefficients: probability assessment method ……………………….…………...63 _z_3%N
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter *n$m;yI
variations ………………………………………………………………………...66 S|=rF<]my
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 O
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1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 JXZ:Wg
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 #7cf 8y
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 4,R\3`b
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the :Z7"c`6L!~
central wavelength ………………………………………………………………80 A<*tn?M]
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 J VIcNK)
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 zN 729wK
1.6.1 Common expressions for spectral coefficients of filter-type systems near central z? b(|f\!
wavelength ………………………………………………………………………88 %l]rQjV-
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 <|>:UGAR
Chapter 2 f@x( ,p
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 M%Kx{*aw&
2.1 Synthesis methods based on merit function optimization …………………………...98 G3^n_]Jb
2.1.1 Merit function selection …………………………………………………………98 .ON$vn7
2.1.2 Merit function optimization ……………………………………………………101 6r-<XNv)0
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 MlcoOi!
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 {KQ-Ce-6
2.2.1 Needle-like variations of the refractive index ………………………………….115 &&QDEDszp
2.2.2 The principal idea of the method ………………………………………………119 Af!
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2.2.3 Description of the method ……………………………………………………...124 RE*S7[ge
Bibliography …...………………………………………….……………….………..……130
