Basics of OPTICS OF MULTILAYER SYSTEMS kn 5q1^
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Contents QzT ) PtX
Preface……………………………………………………………………….………..……….4 WpP8J1KN[
Chapter 1 >(ku*
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: eG72=l)Mz
THEORY……………………………………………………………………………………….5 y-cRqIM
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 /i"vEI
1.1.1 Layered medium electromagnetic field equations………………………………...5 KXL]Qw FN
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 OthQ)&pq X
1.1.3 The Fresnel formulas ……………………………………………………………18 4xk'R [v
1.1.4 Other ways of determining amplitude transmittance and reflectance of the !`hiXDk*2
layered medium…………………………………………………………………..19 ,}2M'DSWa
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 G5|xWeNgA
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 +_|M*%
1.2.1 Matrix calculating method ………………………………………………………22 IVzJ|
1.2.2 Description of optical coating and presentation of calculation results…………..28 BT: =
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 WEFYV=I\
1.2.4 Approximate formulas…………………………………………………………...33 [h""AJ~t
1.2.5 Other recurrent methods…………………………………………………………34 RWP`#(&/&
1.2.6 The admittance phase plane……………………………………………………...38 ]sE~gro
1.3 Some common properties of multilayer coatings…………………………………….46 XE[~!
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1.3.1 The relation between the characteristic matrix and spectral coefficients of a ,'v ]U@WK
multilayer coating ……………………………………………………………….47 z\*ii<- @
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 vg &Dr
1.3.3 Transmittance and reflectance of the combination of two multilayer o/@.*Rj>Bg
subsystems ……………………………………………………………………....54 Tm-Nz7U^^
1.4 The multilayer coatings optical properties: impact of variations in the layer _Ft4F`pM
parameters……………………………………………………………………………...58 fLA!oeq{&}
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… MLtfi{;LH
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 4.$ <o/M
coefficients: probability assessment method ……………………….…………...63 hC4##pAa
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter F-k3 'eyY
variations ………………………………………………………………………...66 8`Q8Mct$<
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 9eo$Duws
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 2>l4$G 0
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 U=\ZeYK.
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Y K!nV ,
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the Z)<ljW
central wavelength ………………………………………………………………80 &%+}bt5
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 biKom|<nm
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 V%g$LrLVe
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 1q] V/V}
wavelength ………………………………………………………………………88 jw?/@(AC6
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 cq >{
Chapter 2 |'9%vtbM
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 j2\bCGY
2.1 Synthesis methods based on merit function optimization …………………………...98 k"Y9Kc0XoU
2.1.1 Merit function selection …………………………………………………………98 j$'L-kK+
2.1.2 Merit function optimization ……………………………………………………101 - D?T0>
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 J3KY?,g3O_
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 TCYjj:/
2.2.1 Needle-like variations of the refractive index ………………………………….115 B!0o6)u'
2.2.2 The principal idea of the method ………………………………………………119 ?l W-NPr
2.2.3 Description of the method ……………………………………………………...124 lM`M70~
Bibliography …...………………………………………….……………….………..……130
