| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS RrSo`q-h+
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Contents eX$ P k:
Preface……………………………………………………………………….………..……….4 @~Z:W<X
Chapter 1 H" f%\'
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: rJK3;d? E
THEORY……………………………………………………………………………………….5 ?}y?e}y*xZ
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 dL5 u- <y&
1.1.1 Layered medium electromagnetic field equations………………………………...5 i[)H!%RV*
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 h 0`@yo
1.1.3 The Fresnel formulas ……………………………………………………………18 j E_a ++
1.1.4 Other ways of determining amplitude transmittance and reflectance of the qCOe,$\1/
layered medium…………………………………………………………………..19 p%5RE%u
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 :~B Y[")
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 D 4^2F(YRX
1.2.1 Matrix calculating method ………………………………………………………22 gT Z1LJ
1.2.2 Description of optical coating and presentation of calculation results…………..28 3=V79 &
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 2'W3:
1.2.4 Approximate formulas…………………………………………………………...33 g83]/s+
1.2.5 Other recurrent methods…………………………………………………………34 tn201TDZ]=
1.2.6 The admittance phase plane……………………………………………………...38 I$v* SeVHE
1.3 Some common properties of multilayer coatings…………………………………….46 RVtb0FL
1.3.1 The relation between the characteristic matrix and spectral coefficients of a =r cqYPul0
multilayer coating ……………………………………………………………….47 G (Fi
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 >lxhXYp
1.3.3 Transmittance and reflectance of the combination of two multilayer 62 Yi1<kV@
subsystems ……………………………………………………………………....54 %g DMz7$~
1.4 The multilayer coatings optical properties: impact of variations in the layer ~=i9]%g ?
parameters……………………………………………………………………………...58 5
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… *?%DdVrO@
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral #:v}d+
coefficients: probability assessment method ……………………….…………...63 D_@WB.e L
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter H\AJLk 2E
variations ………………………………………………………………………...66 g|8G!7O
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 6}A1^RB+w
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 !\.x7N<)0
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 lpLjfHr
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 9/TF #
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the PX}YDC zP$
central wavelength ………………………………………………………………80 Jj}+ tQ f
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 Z?Y14L~%
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 C]K| ;VQ
1.6.1 Common expressions for spectral coefficients of filter-type systems near central }$r/#F/Fn
wavelength ………………………………………………………………………88 jHq.W95+P
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 B uV@w-|
Chapter 2 a,IE;5kG
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 PJLSDIeN
2.1 Synthesis methods based on merit function optimization …………………………...98 Zoh[tO
2.1.1 Merit function selection …………………………………………………………98 ^ 6`"f
2.1.2 Merit function optimization ……………………………………………………101 EOWLGle D1
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 0\84~t'[
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 3
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2.2.1 Needle-like variations of the refractive index ………………………………….115 l -us j%\
2.2.2 The principal idea of the method ………………………………………………119 nE# p
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2.2.3 Description of the method ……………………………………………………...124
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Bibliography …...………………………………………….……………….………..……130
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