Basics of OPTICS OF MULTILAYER SYSTEMS qrZ*r{3
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Preface……………………………………………………………………….………..……….4 1&Ruz[F5
Chapter 1 + tza]r:
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: qxW^\u!<
THEORY……………………………………………………………………………………….5 t2 0Es
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 .P5OUK
1.1.1 Layered medium electromagnetic field equations………………………………...5 akB+4?+s)
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 S<bsrS*$
1.1.3 The Fresnel formulas ……………………………………………………………18 &D*22R4{CX
1.1.4 Other ways of determining amplitude transmittance and reflectance of the + Ssu^ >D
layered medium…………………………………………………………………..19 JuTIP6
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1.1.5 Transmittance, reflectance and absorptance …………………………………….20 #<EMG|&(
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 D*o5fPvFO
1.2.1 Matrix calculating method ………………………………………………………22 *
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1.2.2 Description of optical coating and presentation of calculation results…………..28 *Y/}E X! F
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 \1R<GBC4
1.2.4 Approximate formulas…………………………………………………………...33 ~rICPR
1.2.5 Other recurrent methods…………………………………………………………34 +(l(|lQy$
1.2.6 The admittance phase plane……………………………………………………...38 AIX?840V
1.3 Some common properties of multilayer coatings…………………………………….46 GB\1'
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 052e zh_
multilayer coating ……………………………………………………………….47 fA{t\
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 =LHz[dSL
1.3.3 Transmittance and reflectance of the combination of two multilayer ? vr9l7VOi
subsystems ……………………………………………………………………....54 b]cnTR2E
1.4 The multilayer coatings optical properties: impact of variations in the layer ~![J~CkPS
parameters……………………………………………………………………………...58 a s d3J
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… ^a{cK
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral `@)>5gW&p
coefficients: probability assessment method ……………………….…………...63 {RPZq2Tpc
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter $2'Q'Mx[gd
variations ………………………………………………………………………...66 ])3(@ .
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 uk=f /nT
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 |fhYft
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 W34_@,GD
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 `_Fxb@"R
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the D,sb {N
central wavelength ………………………………………………………………80 #$;i 4a
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 3L1MMUACL
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 -jdhdh
1.6.1 Common expressions for spectral coefficients of filter-type systems near central tX@G`Mr(
wavelength ………………………………………………………………………88 `<x(( @ #
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 [ 30ta<-
Chapter 2 U1 ;<NUg
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 Bt[Wh@
2.1 Synthesis methods based on merit function optimization …………………………...98 %&Q9W Mo
2.1.1 Merit function selection …………………………………………………………98 OuuN~yC
2.1.2 Merit function optimization ……………………………………………………101 ~H~iKl}|7
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108
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2.2 Synthesis method based on the needle-like variations of the refractive index ……114
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2.2.1 Needle-like variations of the refractive index ………………………………….115 H2
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2.2.2 The principal idea of the method ………………………………………………119 N&jHU+{OU
2.2.3 Description of the method ……………………………………………………...124 o7=#ye&P
Bibliography …...………………………………………….……………….………..……130
