| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS |]ZYa.+:
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Contents *UmI]E{g3(
Preface……………………………………………………………………….………..……….4 [ zEUH:9D
Chapter 1 0Pe>Es|^A#
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: ~;&m*2
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THEORY……………………………………………………………………………………….5 0 SNIYkGE
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 AbYqf%~7`l
1.1.1 Layered medium electromagnetic field equations………………………………...5 jr!?v<NoX
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 \,7}mdQSv
1.1.3 The Fresnel formulas ……………………………………………………………18 iIq)~e/ Z
1.1.4 Other ways of determining amplitude transmittance and reflectance of the +[tE ^`-F
layered medium…………………………………………………………………..19 6N;wqn
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ,J{ei7TN
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 K/3)g9Z&io
1.2.1 Matrix calculating method ………………………………………………………22 E7Y`|nT
1.2.2 Description of optical coating and presentation of calculation results…………..28 ZO)S`W
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 eZdu2.;<
1.2.4 Approximate formulas…………………………………………………………...33 D*F4it.
1.2.5 Other recurrent methods…………………………………………………………34 ]5$eAYq
1.2.6 The admittance phase plane……………………………………………………...38 g47-db"5
1.3 Some common properties of multilayer coatings…………………………………….46 -!N&OZ+R
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 2 4 )(5!:"
multilayer coating ……………………………………………………………….47 3rcKzS7
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 .G)(0z("s
1.3.3 Transmittance and reflectance of the combination of two multilayer <B6&I$Wc+
subsystems ……………………………………………………………………....54 JA'h4AXk
1.4 The multilayer coatings optical properties: impact of variations in the layer 0;:.B
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parameters……………………………………………………………………………...58 75T7+:p
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… @g$Gti
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral :SGF45>B@
coefficients: probability assessment method ……………………….…………...63 %y |)=cm[
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter k=B] &F
variations ………………………………………………………………………...66 RQ'H$r.7g
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 jlBanGs?
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 oNU0 qZ5
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 Mc%Nf$XQ
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 xg NJ eQ
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the L?Qg#YSd ~
central wavelength ………………………………………………………………80 /~Z?27F6@
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 '&gF>
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 4x;/HEb7?
1.6.1 Common expressions for spectral coefficients of filter-type systems near central vpld*TL*
wavelength ………………………………………………………………………88 p Wt)
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1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 k-HCeZ
Chapter 2 vt;{9\Y
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ALNc'MW!
2.1 Synthesis methods based on merit function optimization …………………………...98 '`XX
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2.1.1 Merit function selection …………………………………………………………98 o_D?t-XH
2.1.2 Merit function optimization ……………………………………………………101 5K<5kHpvJ{
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 q|v(Edt|_[
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 3'c0#h@VD
2.2.1 Needle-like variations of the refractive index ………………………………….115 .Y3pS/VI
2.2.2 The principal idea of the method ………………………………………………119 YR>B_,Gl
2.2.3 Description of the method ……………………………………………………...124 Sz^ 5b!
Bibliography …...………………………………………….……………….………..……130
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