Basics of OPTICS OF MULTILAYER SYSTEMS zEk /15
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Contents YF)k0bu&;
Preface……………………………………………………………………….………..……….4 xO&qo8*
Chapter 1 [,56oMd~
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: l KG' KR.
THEORY……………………………………………………………………………………….5 2#oU2si
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 l 1vI
1.1.1 Layered medium electromagnetic field equations………………………………...5 __Zex5Y#-
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ?&?5x%|.<
1.1.3 The Fresnel formulas ……………………………………………………………18 nrg$V> pD
1.1.4 Other ways of determining amplitude transmittance and reflectance of the eY[kUMo
layered medium…………………………………………………………………..19 F -Bj
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 9DdR"r'7
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 \03ZE^H
1.2.1 Matrix calculating method ………………………………………………………22 |u]IOw&1
1.2.2 Description of optical coating and presentation of calculation results…………..28 *vzEfm N:d
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 '0w</g
1.2.4 Approximate formulas…………………………………………………………...33 3~1 Gts
1.2.5 Other recurrent methods…………………………………………………………34 8]D0)
1.2.6 The admittance phase plane……………………………………………………...38 83J6 3Xa
1.3 Some common properties of multilayer coatings…………………………………….46 W*B=j[w
1.3.1 The relation between the characteristic matrix and spectral coefficients of a :!Nx'F9a
multilayer coating ……………………………………………………………….47 {gh<SZsE
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 +Fb+dU
1.3.3 Transmittance and reflectance of the combination of two multilayer d hjX[7Bl9
subsystems ……………………………………………………………………....54 uS5G(} [
1.4 The multilayer coatings optical properties: impact of variations in the layer 6MNr H
parameters……………………………………………………………………………...58 |DYgc$2pN
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… u+^KP>rM(
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 1,P\dGmu
coefficients: probability assessment method ……………………….…………...63 Fw:_O2
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter C1>zwU_z o
variations ………………………………………………………………………...66 -lrcb/)Gz
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 3CH> !QOA
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 OG9 '[o`8
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 U\(71 =
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 j
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1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the w' E(9 gV
central wavelength ………………………………………………………………80 >#)%/Ti}DU
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 % o 5'M^U
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 Mh{244|o[
1.6.1 Common expressions for spectral coefficients of filter-type systems near central >qs/o$+t}
wavelength ………………………………………………………………………88 [(eX\kL
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 5mS/,fs@
Chapter 2 et "Pb_-U
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 u=tp80_
2.1 Synthesis methods based on merit function optimization …………………………...98 2Z5_@Y
2.1.1 Merit function selection …………………………………………………………98 Gu@C* .jj!
2.1.2 Merit function optimization ……………………………………………………101 #^BttI
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 wX$|( Y }
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 S'\e"w
2.2.1 Needle-like variations of the refractive index ………………………………….115 {,u} )U2
2.2.2 The principal idea of the method ………………………………………………119 `5e{ec
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2.2.3 Description of the method ……………………………………………………...124 |]9L#
Bibliography …...………………………………………….……………….………..……130
