| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS 2z A xGX
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Contents <xrya _R?
Preface……………………………………………………………………….………..……….4 5{IbKj|
Chapter 1 ]US!3 R^
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: -6X+:r`>u
THEORY……………………………………………………………………………………….5 M"msLz
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 1=z\,~ b
1.1.1 Layered medium electromagnetic field equations………………………………...5 r ^ '
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ?(}~ [
1.1.3 The Fresnel formulas ……………………………………………………………18 i[z#5;x+<
1.1.4 Other ways of determining amplitude transmittance and reflectance of the Gv[(0
layered medium…………………………………………………………………..19 JW=q'ibR
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 "5Z5x%3I
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 4af^SZ )l
1.2.1 Matrix calculating method ………………………………………………………22 v`Ja Bn
1.2.2 Description of optical coating and presentation of calculation results…………..28 `=B v+
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 |TF6&$>d
1.2.4 Approximate formulas…………………………………………………………...33 r
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1.2.5 Other recurrent methods…………………………………………………………34 5yj6Maq J
1.2.6 The admittance phase plane……………………………………………………...38 3{Zd<JYg4-
1.3 Some common properties of multilayer coatings…………………………………….46 10GU2a$0"$
1.3.1 The relation between the characteristic matrix and spectral coefficients of a YM.
multilayer coating ……………………………………………………………….47 ~E vGNnTL
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 9C!b
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1.3.3 Transmittance and reflectance of the combination of two multilayer >66
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subsystems ……………………………………………………………………....54 7& w[h4Lw
1.4 The multilayer coatings optical properties: impact of variations in the layer ax K/YE7t
parameters……………………………………………………………………………...58 ~at:\h4:
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… nyOmNvZf
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral q]s_ hWWv
coefficients: probability assessment method ……………………….…………...63 THgEHR0,}[
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter : KGPQ@:O
variations ………………………………………………………………………...66 =8"xQ>D62
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 '!`]Zc
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 6['o^>\}f
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 YOA)paq+
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 fhC| =0XB
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 8_O?#JYi
central wavelength ………………………………………………………………80 hDBo
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1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 [8Z
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1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 am7~
1.6.1 Common expressions for spectral coefficients of filter-type systems near central :oiHf:
wavelength ………………………………………………………………………88 a 6;5mx
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 hrXk 7}9
Chapter 2 K `A8 N
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 {M\n
2.1 Synthesis methods based on merit function optimization …………………………...98 Lzcea+*uw
2.1.1 Merit function selection …………………………………………………………98 1 xO-tIp/
2.1.2 Merit function optimization ……………………………………………………101 .S* sGa uM
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 K<5 0>uG
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 ,pVe@ d'
2.2.1 Needle-like variations of the refractive index ………………………………….115 ft4hzmuzM
2.2.2 The principal idea of the method ………………………………………………119 NK:! U
2.2.3 Description of the method ……………………………………………………...124 9kbczL^Y
Bibliography …...………………………………………….……………….………..……130
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