Basics of OPTICS OF MULTILAYER SYSTEMS (*6kYkUK
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Contents ,Q%q!#@
Preface……………………………………………………………………….………..……….4 )-jA4!&
Chapter 1 _mBFmXHHS$
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS:
19#s:nt9
THEORY……………………………………………………………………………………….5 '.{tE*
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 w;
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1.1.1 Layered medium electromagnetic field equations………………………………...5 3haR/Y N
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 V=
wWY*C
1.1.3 The Fresnel formulas ……………………………………………………………18 {e35O(Y
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ?**9hu\B G
layered medium…………………………………………………………………..19 ./7*<W:
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 H^TU?vz}
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1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ?b,4mDptE
1.2.1 Matrix calculating method ………………………………………………………22 !4Oj^yy%
1.2.2 Description of optical coating and presentation of calculation results…………..28
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1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 b7uxCH]Z
1.2.4 Approximate formulas…………………………………………………………...33 *(+*tj cWa
1.2.5 Other recurrent methods…………………………………………………………34 )G+D6s23
1.2.6 The admittance phase plane……………………………………………………...38 P*
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1.3 Some common properties of multilayer coatings…………………………………….46 ;:W M^S
1.3.1 The relation between the characteristic matrix and spectral coefficients of a t>KvR!+`g
multilayer coating ……………………………………………………………….47 $*\G Z$y>
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 6 d;_}
1.3.3 Transmittance and reflectance of the combination of two multilayer uUIjntSF(
subsystems ……………………………………………………………………....54 |XrGf2P9u
1.4 The multilayer coatings optical properties: impact of variations in the layer w/49O;r V
parameters……………………………………………………………………………...58 >?L)+*^
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 7QX p\<7
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral U,g)N[|
coefficients: probability assessment method ……………………….…………...63 6, raRg6
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter cVY PPal
variations ………………………………………………………………………...66 y$,j'B:;4m
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 }VU7wMk
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 oF(=@UL
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 F'^y? UP[
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Ny" "lcy
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the dq4t@:\o0
central wavelength ………………………………………………………………80 7`P1=`..
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 oC
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1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 -)pVgf
1.6.1 Common expressions for spectral coefficients of filter-type systems near central KvvG
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wavelength ………………………………………………………………………88 }C'h<%[P
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 D:56>%y@
Chapter 2 ETQL,t9m
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 .L =C7 w1
2.1 Synthesis methods based on merit function optimization …………………………...98 {P7 I<^,
2.1.1 Merit function selection …………………………………………………………98 @xkI?vK6
2.1.2 Merit function optimization ……………………………………………………101 P3_ &(
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 3E$h
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2.2 Synthesis method based on the needle-like variations of the refractive index ……114 Fo;.
2.2.1 Needle-like variations of the refractive index ………………………………….115 4 yDWVd;
2.2.2 The principal idea of the method ………………………………………………119 E]g y5y
2.2.3 Description of the method ……………………………………………………...124 cs-d vpMZ
Bibliography …...………………………………………….……………….………..……130
