Basics of OPTICS OF MULTILAYER SYSTEMS ,n\'dMNii
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Contents wxIWh>pZa
Preface……………………………………………………………………….………..……….4 I%gDqfdL
Chapter 1 3,$G?auW
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: X9/]< Y<!
THEORY……………………………………………………………………………………….5 <6 [P5>
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5
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1.1.1 Layered medium electromagnetic field equations………………………………...5 e!.r- v9
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 Ld$e -dB
1.1.3 The Fresnel formulas ……………………………………………………………18 x9B5@2J1
1.1.4 Other ways of determining amplitude transmittance and reflectance of the C|H/x\?zRv
layered medium…………………………………………………………………..19 ,V{C y`bi
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 gRQV)8uh
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 i\94e{uty[
1.2.1 Matrix calculating method ………………………………………………………22 ^7$V>|
1.2.2 Description of optical coating and presentation of calculation results…………..28 mCQn '{)
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 `8<h aU
1.2.4 Approximate formulas…………………………………………………………...33 z3 Ro*yJU
1.2.5 Other recurrent methods…………………………………………………………34 U?s io%`(
1.2.6 The admittance phase plane……………………………………………………...38
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1.3 Some common properties of multilayer coatings…………………………………….46 @>4=}z_e
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 'D<84|w:1
multilayer coating ……………………………………………………………….47 SJ;Kjq.Qo
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 , \
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1.3.3 Transmittance and reflectance of the combination of two multilayer {c\KiWN
subsystems ……………………………………………………………………....54 +tSfx
1.4 The multilayer coatings optical properties: impact of variations in the layer HDV$y=oHh
parameters……………………………………………………………………………...58 %.`<ud
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… <|R`N)AV;
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral G$_=rHt_%
coefficients: probability assessment method ……………………….…………...63 PS3%V_2
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter ]5`Y^hS_g
variations ………………………………………………………………………...66 >p,FAz>
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 +Oa+G.;)o4
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 \CDzVO 0^
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 $(JB"%S8c
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 Wi3St`$
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the O~=|6 #c
central wavelength ………………………………………………………………80 *^_ywqp
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 ]<B@g($
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 ,[t>N>10TH
1.6.1 Common expressions for spectral coefficients of filter-type systems near central - BE.a<
wavelength ………………………………………………………………………88 \]gUX-
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 oA'LQ
Chapter 2 6y
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SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 >y7|@'V[v0
2.1 Synthesis methods based on merit function optimization …………………………...98 vh" > Z4
2.1.1 Merit function selection …………………………………………………………98 4kqgZtg.
2.1.2 Merit function optimization ……………………………………………………101 }8,[B50
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 ~w9.}
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 xKW`m
2.2.1 Needle-like variations of the refractive index ………………………………….115 SB}0u=5
2.2.2 The principal idea of the method ………………………………………………119 4(O;lVT}
2.2.3 Description of the method ……………………………………………………...124 G" &yE.E5
Bibliography …...………………………………………….……………….………..……130
