Basics of OPTICS OF MULTILAYER SYSTEMS a[=B?Bd
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Contents E_z,%aD[
Preface……………………………………………………………………….………..……….4 d.>O`.Mu)}
Chapter 1 za.^vwkBk2
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: &` "uKO]
THEORY……………………………………………………………………………………….5 \u /=?b
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 d|
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1.1.1 Layered medium electromagnetic field equations………………………………...5 JV;VR9-l
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 2{ h G",JL
1.1.3 The Fresnel formulas ……………………………………………………………18 lP(<4mdP
1.1.4 Other ways of determining amplitude transmittance and reflectance of the Ox aS<vQ3
layered medium…………………………………………………………………..19 EL
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1.1.5 Transmittance, reflectance and absorptance …………………………………….20 zs-,Y@Z L
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 NUi&x +
1.2.1 Matrix calculating method ………………………………………………………22 l i`
1.2.2 Description of optical coating and presentation of calculation results…………..28 Hw#yw g
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 esv<b>`R
1.2.4 Approximate formulas…………………………………………………………...33 qm=9!jqC;
1.2.5 Other recurrent methods…………………………………………………………34 Kna@K$6{w=
1.2.6 The admittance phase plane……………………………………………………...38 &4p~i Z
1.3 Some common properties of multilayer coatings…………………………………….46 ]#r mk!VT?
1.3.1 The relation between the characteristic matrix and spectral coefficients of a
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multilayer coating ……………………………………………………………….47 '
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1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 !uKuO
1.3.3 Transmittance and reflectance of the combination of two multilayer H M\}C. u
subsystems ……………………………………………………………………....54 5e'**tbKH
1.4 The multilayer coatings optical properties: impact of variations in the layer U<yKC8
parameters……………………………………………………………………………...58 ! 6+V
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… U XS+GAWU
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ]`@< I'?,X
coefficients: probability assessment method ……………………….…………...63 2$ \#BG
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter wD<W 'K
variations ………………………………………………………………………...66 ;p( Doy)i
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 i+Xb3+R
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 aXD|XE%
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 g+k
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1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 HxShNU
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the y( r(q
central wavelength ………………………………………………………………80 LC/%AbM
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 )]JQlm:H
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 .!1E 7\
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ^ s/f.#'
wavelength ………………………………………………………………………88 ,5|@vW2@u
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 4L2TsuLw
Chapter 2 ,xC@ @>f
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 o l+*Oe
2.1 Synthesis methods based on merit function optimization …………………………...98 i~*#z&4A+
2.1.1 Merit function selection …………………………………………………………98 DM !B@
2.1.2 Merit function optimization ……………………………………………………101 Nu%MXu+
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 ,NU` aG-
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 VSm{]Z!x
2.2.1 Needle-like variations of the refractive index ………………………………….115 14Jkr)N
2.2.2 The principal idea of the method ………………………………………………119 K~\Ocl
2.2.3 Description of the method ……………………………………………………...124 vQ
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Bibliography …...………………………………………….……………….………..……130
