Basics of OPTICS OF MULTILAYER SYSTEMS uG\~Hxqw7O
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Contents "0HUaU,e
Preface……………………………………………………………………….………..……….4 r,;ca6>5H
Chapter 1 m?(8T|i
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: )'kpO> _G
THEORY……………………………………………………………………………………….5 '?C6P5fm
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ]LB_ @#
1.1.1 Layered medium electromagnetic field equations………………………………...5 (~DW_+?]'
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 brA#p>4]Wf
1.1.3 The Fresnel formulas ……………………………………………………………18 [1rQ'FBB^1
1.1.4 Other ways of determining amplitude transmittance and reflectance of the =e6p v#
layered medium…………………………………………………………………..19 (p2`ofj
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 I HTim T?
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 @bg9
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1.2.1 Matrix calculating method ………………………………………………………22 F;Q,cg M
1.2.2 Description of optical coating and presentation of calculation results…………..28 _r-LX"
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 v_XN).f;
1.2.4 Approximate formulas…………………………………………………………...33 -+E.I*st
1.2.5 Other recurrent methods…………………………………………………………34 |mt W)
1.2.6 The admittance phase plane……………………………………………………...38 | In{5E k
1.3 Some common properties of multilayer coatings…………………………………….46 rDFrreQP
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 4A J] qu
multilayer coating ……………………………………………………………….47 `4*I 1WZW
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 SWr TM
1.3.3 Transmittance and reflectance of the combination of two multilayer rMwa6ZO'm;
subsystems ……………………………………………………………………....54 ]q"&V\b
1.4 The multilayer coatings optical properties: impact of variations in the layer =d8R ij-
parameters……………………………………………………………………………...58 == wX.y\.n
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 4vg3F(
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral r<0E[ ~
coefficients: probability assessment method ……………………….…………...63 ^
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter +iC:/CJL
variations ………………………………………………………………………...66 ndD>Oc}"3
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 `Moo WG
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 |:S6Gp[\O
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 5az%yS
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76
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1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the x;[ . ZzQ
central wavelength ………………………………………………………………80 ZuGSR GX'
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 P3Ql[ 2
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 G`l\R:Q
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 1"y !wsM%
wavelength ………………………………………………………………………88 -`' |z+V
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 "5N4
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8
Chapter 2 65aYH4"
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 K e4oLF2
2.1 Synthesis methods based on merit function optimization …………………………...98 ^ = C>
2.1.1 Merit function selection …………………………………………………………98 ]~;*9`:
2.1.2 Merit function optimization ……………………………………………………101 lfAy$qP"}
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 ,g? ny<#o
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 =G}a%)?As\
2.2.1 Needle-like variations of the refractive index ………………………………….115 1NP
2.2.2 The principal idea of the method ………………………………………………119 }) O S2F
2.2.3 Description of the method ……………………………………………………...124 yepRJ%mp
Bibliography …...………………………………………….……………….………..……130
