Basics of OPTICS OF MULTILAYER SYSTEMS |~rDEv3
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Preface……………………………………………………………………….………..……….4 yBht4"\Al
Chapter 1 1wqC oDgkp
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: pg*'2AT
THEORY……………………………………………………………………………………….5 /]<0`nI.
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 S
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1.1.1 Layered medium electromagnetic field equations………………………………...5 M _$pqVm
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ~>xn9vb=
1.1.3 The Fresnel formulas ……………………………………………………………18 rm(<?w%'?
1.1.4 Other ways of determining amplitude transmittance and reflectance of the +6uu n
layered medium…………………………………………………………………..19 NZ9`8&93
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 7Cp>i WV
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 QRw3 06
1.2.1 Matrix calculating method ………………………………………………………22 #=Q/<r.~G
1.2.2 Description of optical coating and presentation of calculation results…………..28 26.iFt/:
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 6i%LM`8GEk
1.2.4 Approximate formulas…………………………………………………………...33
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1.2.5 Other recurrent methods…………………………………………………………34 6DR@$fpt
1.2.6 The admittance phase plane……………………………………………………...38 H*EQ%BLW^,
1.3 Some common properties of multilayer coatings…………………………………….46 t<}'/
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1.3.1 The relation between the characteristic matrix and spectral coefficients of a 9BNAj- Xa
multilayer coating ……………………………………………………………….47 RAXqRP,iw
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 mcS/-DaN?
1.3.3 Transmittance and reflectance of the combination of two multilayer u|BD%5+J
subsystems ……………………………………………………………………....54 m!N_TOl-^
1.4 The multilayer coatings optical properties: impact of variations in the layer z=BX-)
parameters……………………………………………………………………………...58 $//18+T
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… bq<QUw=]q&
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral qV9`
coefficients: probability assessment method ……………………….…………...63 k[y{&f,
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter @Mt6O _V
variations ………………………………………………………………………...66 zUIh8cAoE
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 J
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1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 7b:oz3 ?PI
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 /o+,
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1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 pk: ruf`)
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the >xJt&jW-
central wavelength ………………………………………………………………80 a%*W^R9Ls
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 @ \u)k
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 `H+ 7Hj
1.6.1 Common expressions for spectral coefficients of filter-type systems near central RyIr_:&-~
wavelength ………………………………………………………………………88 & Vvy`JE
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 Xdq2 .:\
Chapter 2 v?fB:[dG
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 L>xc g V7
2.1 Synthesis methods based on merit function optimization …………………………...98 \ C/`?"4w
2.1.1 Merit function selection …………………………………………………………98 e%(zjCA
2.1.2 Merit function optimization ……………………………………………………101 :v1'(A1t
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 8T$:^HW
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 |>jlY|
2.2.1 Needle-like variations of the refractive index ………………………………….115 Ud`V"X
2.2.2 The principal idea of the method ………………………………………………119 ZV_mP'1*
2.2.3 Description of the method ……………………………………………………...124 zdU<]ge
Bibliography …...………………………………………….……………….………..……130
