Basics of OPTICS OF MULTILAYER SYSTEMS 0j-- X?-
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Contents .0 [
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Preface……………………………………………………………………….………..……….4 eMDO;q
Chapter 1 63EwV p /|
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: n*Q~< `T
THEORY……………………………………………………………………………………….5 Qel2OI `b
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 @Z fQ)q\
1.1.1 Layered medium electromagnetic field equations………………………………...5 vs`"BQYf
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 *T+Bjj;w
1.1.3 The Fresnel formulas ……………………………………………………………18 Wvg+5Q
1.1.4 Other ways of determining amplitude transmittance and reflectance of the vfn _Nq;
layered medium…………………………………………………………………..19 \N[Z58R !z
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 a fOix"
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 M$O*@])
1.2.1 Matrix calculating method ………………………………………………………22 _(R 1En1
1.2.2 Description of optical coating and presentation of calculation results…………..28 ^>3q@,C]c
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 hS?pc<~` #
1.2.4 Approximate formulas…………………………………………………………...33 ]rpU3 3
1.2.5 Other recurrent methods…………………………………………………………34 )U?O4| \P
1.2.6 The admittance phase plane……………………………………………………...38 ry2ZVIFa
1.3 Some common properties of multilayer coatings…………………………………….46 ?hXeZB+b4
1.3.1 The relation between the characteristic matrix and spectral coefficients of a !(-lY(x
multilayer coating ……………………………………………………………….47 rKtr&w7X
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 9;L5# /E
1.3.3 Transmittance and reflectance of the combination of two multilayer Exy|^Dr 0
subsystems ……………………………………………………………………....54 zn=I fz)#|
1.4 The multilayer coatings optical properties: impact of variations in the layer s\CZ os&
parameters……………………………………………………………………………...58 ./iC
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 5vfzSJ
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral S1!X;PP/
coefficients: probability assessment method ……………………….…………...63 Rfk8trD B
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter jgz}
variations ………………………………………………………………………...66 TVVr<r
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 qir/Sa' [
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 wOlnDQs
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 323zR*\m
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 .:`+4n
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the # D qVh!t"
central wavelength ………………………………………………………………80 T&ECGF;Y/
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 6ojEEM
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 hh qSfafUX
1.6.1 Common expressions for spectral coefficients of filter-type systems near central EGY'a*]cU
wavelength ………………………………………………………………………88 ~$bkWb*RJ
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 24}?GO
Chapter 2 2$fFl,v!z
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 lU} y%J@
2.1 Synthesis methods based on merit function optimization …………………………...98 gc y'"d"
2.1.1 Merit function selection …………………………………………………………98 iK(G t6w
2.1.2 Merit function optimization ……………………………………………………101 g}vOp3 ^
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 oC~8h8"l
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 MKnG:)T<?l
2.2.1 Needle-like variations of the refractive index ………………………………….115 0B o7EV
2.2.2 The principal idea of the method ………………………………………………119 D.i(Irqw!
2.2.3 Description of the method ……………………………………………………...124 :FUefW m
Bibliography …...………………………………………….……………….………..……130
