Basics of OPTICS OF MULTILAYER SYSTEMS lc7]=,qyF
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Contents !ZW0yCwLQ
Preface……………………………………………………………………….………..……….4 q c F{Kex"
Chapter 1 Xy +|D#b
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: mgWtjV 8
THEORY……………………………………………………………………………………….5 }kDrUnBk
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 K< tg+(3
1.1.1 Layered medium electromagnetic field equations………………………………...5 Q23y.^W%c
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 S\ m]z e
1.1.3 The Fresnel formulas ……………………………………………………………18 C2v7 (
1.1.4 Other ways of determining amplitude transmittance and reflectance of the j;.&+.
layered medium…………………………………………………………………..19 uItKs u
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 +6*I9R
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ):@B1 yR
1.2.1 Matrix calculating method ………………………………………………………22 }s[/b"%y
1.2.2 Description of optical coating and presentation of calculation results…………..28 [>86i
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 m/A N*` V
1.2.4 Approximate formulas…………………………………………………………...33 x!+ a,+G
1.2.5 Other recurrent methods…………………………………………………………34 xj<SnrrC]u
1.2.6 The admittance phase plane……………………………………………………...38 G'Y|MCKz>
1.3 Some common properties of multilayer coatings…………………………………….46 VbYapPu4b!
1.3.1 The relation between the characteristic matrix and spectral coefficients of a *#_jTw Qe
multilayer coating ……………………………………………………………….47 79DC]48M
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 {PKER $C
1.3.3 Transmittance and reflectance of the combination of two multilayer T5h[{J^
subsystems ……………………………………………………………………....54 b+>godTi_
1.4 The multilayer coatings optical properties: impact of variations in the layer 3'w BX
parameters……………………………………………………………………………...58 cg5DyQ(
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… "oQ@.]-#
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral h!
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coefficients: probability assessment method ……………………….…………...63 vY 6|V$
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter Tp7?:YY|
variations ………………………………………………………………………...66 r[x7?cXsW
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ?)&TewP
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 n|.;g!QDA
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 :lAR;[WFS
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 >+ r2I%
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the tj3p71%
central wavelength ………………………………………………………………80 y~fy 0P:T
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 M<nn+vy`
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 e( ^O8
1.6.1 Common expressions for spectral coefficients of filter-type systems near central R/W&~t
wavelength ………………………………………………………………………88 @WmB0cc_
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 o>YR Kb
Chapter 2 =6$( m}(74
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 g ;p FT
2.1 Synthesis methods based on merit function optimization …………………………...98 fOJy Y[
2.1.1 Merit function selection …………………………………………………………98 &V"& SV>}
2.1.2 Merit function optimization ……………………………………………………101 yWuq/J:
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 iq#Z\ Y(
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 gS%J`X$
2.2.1 Needle-like variations of the refractive index ………………………………….115 " O4Z).5q3
2.2.2 The principal idea of the method ………………………………………………119 ?6Gq &
2.2.3 Description of the method ……………………………………………………...124 seq$]
Bibliography …...………………………………………….……………….………..……130
