Basics of OPTICS OF MULTILAYER SYSTEMS Is<"OQ
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Contents oj,lz?
Preface……………………………………………………………………….………..……….4 >M!xiQX
Chapter 1 8$N8} q%
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: z( uZ F3
THEORY……………………………………………………………………………………….5 Q\
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1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 A?Q a 4i
1.1.1 Layered medium electromagnetic field equations………………………………...5 Ey{%XR +*;
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 v
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1.1.3 The Fresnel formulas ……………………………………………………………18 k`HP "H
1.1.4 Other ways of determining amplitude transmittance and reflectance of the aMARZ)V
layered medium…………………………………………………………………..19 stl 1Q O(h
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 " }gVAAvc7
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 .V9e=yW!*
1.2.1 Matrix calculating method ………………………………………………………22 }H4=HDO
1.2.2 Description of optical coating and presentation of calculation results…………..28 m %+IPZ2m
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 uNbH\qd=
1.2.4 Approximate formulas…………………………………………………………...33 x Ha=3n
1.2.5 Other recurrent methods…………………………………………………………34 U7mozHS,:9
1.2.6 The admittance phase plane……………………………………………………...38 `7aDEzmJ
1.3 Some common properties of multilayer coatings…………………………………….46 I7 QCYB|
1.3.1 The relation between the characteristic matrix and spectral coefficients of a .UCt|> $
multilayer coating ……………………………………………………………….47 `;,Pb&W~
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 <<9Va.
1.3.3 Transmittance and reflectance of the combination of two multilayer RI M `omM
subsystems ……………………………………………………………………....54 0rk]/--FGJ
1.4 The multilayer coatings optical properties: impact of variations in the layer SDG-~(Y
parameters……………………………………………………………………………...58 ?8dVH2W.
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… kpw t]]e*
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 4W4kwU6D
coefficients: probability assessment method ……………………….…………...63 fHrt+_Zn|
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter D;GD<zC]
variations ………………………………………………………………………...66 a^qNJ?R !
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 1
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1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 `?*%$>W#"
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 A \rt6/
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the &Wp8u #4L
central wavelength ………………………………………………………………80 E9j+o y
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 J`M&{U P
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 fjo{av~]y
1.6.1 Common expressions for spectral coefficients of filter-type systems near central Yw3oJ f&
wavelength ………………………………………………………………………88 vP%tk s+.
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 ymY1o$qWB}
Chapter 2 ?B@;QjhjiJ
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 q: >^ "P{
2.1 Synthesis methods based on merit function optimization …………………………...98 5 /",<1
2.1.1 Merit function selection …………………………………………………………98 9DQ)cy
2.1.2 Merit function optimization ……………………………………………………101 -!RtH |P
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 J; t 7&Zpe
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 ivO/;)=t
2.2.1 Needle-like variations of the refractive index ………………………………….115 djQv[Vc {
2.2.2 The principal idea of the method ………………………………………………119 =*BIB 5
2.2.3 Description of the method ……………………………………………………...124 rsn.4P=
Bibliography …...………………………………………….……………….………..……130
