Basics of OPTICS OF MULTILAYER SYSTEMS uM6!RR!~
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Contents ' /* rCB
Preface……………………………………………………………………….………..……….4 SX<mj
Chapter 1 QKkr~?sTO
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: [<I
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THEORY……………………………………………………………………………………….5 3tc sj0Rb
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 7%FZXsD
1.1.1 Layered medium electromagnetic field equations………………………………...5 p%y\`Nlgdx
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 "$V2 $
1.1.3 The Fresnel formulas ……………………………………………………………18 %>U*A
1.1.4 Other ways of determining amplitude transmittance and reflectance of the NKh {iSLm
layered medium…………………………………………………………………..19 wef^o"aP
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 /'_ RI
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 tLXw&hFk`g
1.2.1 Matrix calculating method ………………………………………………………22 32F GDM
1.2.2 Description of optical coating and presentation of calculation results…………..28 s;M*5|-
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 .v&h> @'m
1.2.4 Approximate formulas…………………………………………………………...33 T/6=A$4
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1.2.5 Other recurrent methods…………………………………………………………34 ">&:(<
1.2.6 The admittance phase plane……………………………………………………...38 1@dx (_
1.3 Some common properties of multilayer coatings…………………………………….46 ~ J{{n_G{
1.3.1 The relation between the characteristic matrix and spectral coefficients of a TRok4uc
multilayer coating ……………………………………………………………….47 :P 1c>:j[
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 [1MEA;
1.3.3 Transmittance and reflectance of the combination of two multilayer WYzaD}
subsystems ……………………………………………………………………....54 *g6o ;c
1.4 The multilayer coatings optical properties: impact of variations in the layer zQ+t@;g 1
parameters……………………………………………………………………………...58 JB_`lefW,'
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… E\N=p&g$
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral EZfa0jJD
coefficients: probability assessment method ……………………….…………...63 _ 7.y4zQJ
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter O; sQPG,v
variations ………………………………………………………………………...66 yE9.]j
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 xJGeIh5
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 nv{4
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1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 iRtDZoiD'
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 zL}hF m h
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the jdf@lb=5 l
central wavelength ………………………………………………………………80 ]*U')
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 %.U{):lNx
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 m3-J0D<
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ]<LU NxBR
wavelength ………………………………………………………………………88 B '/ >Ax&
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 T$;XJx
Chapter 2 (\>'yW{f
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 BF!zfX?n
2.1 Synthesis methods based on merit function optimization …………………………...98 N+75wtLy&
2.1.1 Merit function selection …………………………………………………………98 a $%[!vF
2.1.2 Merit function optimization ……………………………………………………101 lM"7 Z
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 e_ -/p`9
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 mK4|=Q
2.2.1 Needle-like variations of the refractive index ………………………………….115 ~]M"
2.2.2 The principal idea of the method ………………………………………………119 r/2:O92E
2.2.3 Description of the method ……………………………………………………...124 db~ :5#*
Bibliography …...………………………………………….……………….………..……130
