Basics of OPTICS OF MULTILAYER SYSTEMS N[ z7<$$
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Contents !imm17XQ\
Preface……………………………………………………………………….………..……….4 yzgDdAM
Chapter 1 shj S^CP
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: ORyFE:p$
THEORY……………………………………………………………………………………….5 _;L9&>!p6
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 /mo4Q ?^
1.1.1 Layered medium electromagnetic field equations………………………………...5 $ R,7#7bG
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 '8}*erAg
1.1.3 The Fresnel formulas ……………………………………………………………18 9JJ(KY
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 89k9#i X
layered medium…………………………………………………………………..19 E +]gC
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 BC 9rsb
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 'k{pWfn=<
1.2.1 Matrix calculating method ………………………………………………………22 !#5RP5,,Y
1.2.2 Description of optical coating and presentation of calculation results…………..28 w8%<O^wN,
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 0!eZ&.h?4
1.2.4 Approximate formulas…………………………………………………………...33 CES^
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1.2.5 Other recurrent methods…………………………………………………………34 DnMfHG[ <
1.2.6 The admittance phase plane……………………………………………………...38 /P Qz$e-!Y
1.3 Some common properties of multilayer coatings…………………………………….46 [wj&.I{ ^s
1.3.1 The relation between the characteristic matrix and spectral coefficients of a #Bj.# 5
multilayer coating ……………………………………………………………….47 0 x4p!5
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 aP>%iRk'J!
1.3.3 Transmittance and reflectance of the combination of two multilayer -;Y*;x e
subsystems ……………………………………………………………………....54 Q]uxZ;}aF
1.4 The multilayer coatings optical properties: impact of variations in the layer y.=ur,Nd
parameters……………………………………………………………………………...58 )k.;.7dXe
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… nX7 {09
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral F%UyFUz
coefficients: probability assessment method ……………………….…………...63 `p|{(g'
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter Rjqeuyj:
variations ………………………………………………………………………...66 f-E]!\Pg
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 =EA*h _"q9
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 v2 T+I]I
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 9 r+]V=
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 "W?<BpV~@!
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the Mm;kB/ 1
central wavelength ………………………………………………………………80 [nZ3}o
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 T<=Ci?C
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1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 K@)Hm \*
1.6.1 Common expressions for spectral coefficients of filter-type systems near central _?x*F?5=
wavelength ………………………………………………………………………88 m}54yo
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 [y7BHikX)
Chapter 2 8 2 nQ]
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 sw ss#?.se
2.1 Synthesis methods based on merit function optimization …………………………...98 hX# y7 m
2.1.1 Merit function selection …………………………………………………………98 5
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2.1.2 Merit function optimization ……………………………………………………101 l } :&}
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 2MS1<VKZ@
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 $p#)xx7
2.2.1 Needle-like variations of the refractive index ………………………………….115 oJE ~dY$Q
2.2.2 The principal idea of the method ………………………………………………119 +&6R(7XC
2.2.3 Description of the method ……………………………………………………...124 > `R}ulz)
Bibliography …...………………………………………….……………….………..……130
