Basics of OPTICS OF MULTILAYER SYSTEMS HHZrovA#
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Contents {;= { abj
Preface……………………………………………………………………….………..……….4 `8D'r|=`Eh
Chapter 1 H6Kt^s<6xu
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: :+ AqY(Gz
THEORY……………………………………………………………………………………….5 "9,+m$nj
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 S^)xioKsJ
1.1.1 Layered medium electromagnetic field equations………………………………...5 x KXD`-|W
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 (o8?j^ -v
1.1.3 The Fresnel formulas ……………………………………………………………18 y<)q;fI7
1.1.4 Other ways of determining amplitude transmittance and reflectance of the mam(h{f$
layered medium…………………………………………………………………..19 - P'c0I9z
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 \B n$b2j!%
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 G:; (,
1.2.1 Matrix calculating method ………………………………………………………22 #+;0=6+SM
1.2.2 Description of optical coating and presentation of calculation results…………..28 #.<(/D +
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 %loe8yt
1.2.4 Approximate formulas…………………………………………………………...33 5dhT?/qvc
1.2.5 Other recurrent methods…………………………………………………………34 7;NvR4P%
1.2.6 The admittance phase plane……………………………………………………...38 lLZ?&z$
1.3 Some common properties of multilayer coatings…………………………………….46 5x}Or fDU
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ^qPS&G
multilayer coating ……………………………………………………………….47 ea!Z nld]
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 z.*=3
1.3.3 Transmittance and reflectance of the combination of two multilayer XD|vB+j\O
subsystems ……………………………………………………………………....54 *Ui>NTl
1.4 The multilayer coatings optical properties: impact of variations in the layer n NcmL/(
parameters……………………………………………………………………………...58 _" sFLe{
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… x2z%J,z@4
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral xk kW?[&
coefficients: probability assessment method ……………………….…………...63 a\v@^4
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter i)+2? <]
variations ………………………………………………………………………...66 } @jT-t]P
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 4vf,Rj B-5
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 qjd8Q
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 Z sbE
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 A[X~:p.^G
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the VTxLBFK;
central wavelength ………………………………………………………………80 3 0$Q5]T
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 J S!
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 {;ur~KE
1.6.1 Common expressions for spectral coefficients of filter-type systems near central (
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wavelength ………………………………………………………………………88 D[ R<H((
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 UP |#WegO
Chapter 2 oS_<;Fj
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ZYD3[" ~x
2.1 Synthesis methods based on merit function optimization …………………………...98 r!J?Lc])8
2.1.1 Merit function selection …………………………………………………………98 $5a%hK
2.1.2 Merit function optimization ……………………………………………………101 X8=s k
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 N }j^55M_]
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 =H2.1 :'
2.2.1 Needle-like variations of the refractive index ………………………………….115 IBr|A
2.2.2 The principal idea of the method ………………………………………………119 9% AL f 9
2.2.3 Description of the method ……………………………………………………...124 ]Vgl
Bibliography …...………………………………………….……………….………..……130
