| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS wrG*1+r
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Contents #py7emu
Preface……………………………………………………………………….………..……….4 d$r JW m5H
Chapter 1 z@y*
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SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: cXJgdBwo
THEORY……………………………………………………………………………………….5 |
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1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 af{;4Cr
1.1.1 Layered medium electromagnetic field equations………………………………...5 xSb/9 8;
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 5d}P rYa
1.1.3 The Fresnel formulas ……………………………………………………………18 ?vRz}hiy
1.1.4 Other ways of determining amplitude transmittance and reflectance of the %8o(x 0
layered medium…………………………………………………………………..19 3 :Co K#
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 w]yLdfi!
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ,h/0:?R
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1.2.1 Matrix calculating method ………………………………………………………22 b&~uK"O'7d
1.2.2 Description of optical coating and presentation of calculation results…………..28 54 F([w
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 W&06~dI1!
1.2.4 Approximate formulas…………………………………………………………...33 mKpUEJ<a
1.2.5 Other recurrent methods…………………………………………………………34 >mF`XbS
1.2.6 The admittance phase plane……………………………………………………...38 8gC(N3/E"
1.3 Some common properties of multilayer coatings…………………………………….46 XQ(`8Jl&^
1.3.1 The relation between the characteristic matrix and spectral coefficients of a N83RsL "}_
multilayer coating ……………………………………………………………….47 ]VJcV.7`
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 '%RMpyK~
1.3.3 Transmittance and reflectance of the combination of two multilayer (f#W:]o/
subsystems ……………………………………………………………………....54 A#1y>k
1.4 The multilayer coatings optical properties: impact of variations in the layer /LSi Dys
parameters……………………………………………………………………………...58 !hH6!G
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… @oRYQ |.R
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral p' w[5'
coefficients: probability assessment method ……………………….…………...63 r ~s03g0
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter
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variations ………………………………………………………………………...66 F$ h/k^
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68
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1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 X_!mZ\H7
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 VDnAQ[T@d
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 g"Ii'JZ?
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 3al5Vu2:
central wavelength ………………………………………………………………80 3b &W=1J
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 %Vt@7SwRJ
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 tb=L+WAIw
1.6.1 Common expressions for spectral coefficients of filter-type systems near central &H4UVI
wavelength ………………………………………………………………………88 >a4Bfnf"eI
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 wG{o bsL.!
Chapter 2 9q8
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SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ^d=Z/d[
2.1 Synthesis methods based on merit function optimization …………………………...98 ,}2j
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2.1.1 Merit function selection …………………………………………………………98 2PeI+!7s
2.1.2 Merit function optimization ……………………………………………………101 +$
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2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 b&_p"8)_
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 I(7gmCV
2.2.1 Needle-like variations of the refractive index ………………………………….115 mmjB 1 L
2.2.2 The principal idea of the method ………………………………………………119 pP/o2
2.2.3 Description of the method ……………………………………………………...124 dJ&s/Z/>E
Bibliography …...………………………………………….……………….………..……130
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