| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS m H)th7
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Contents 1G62Qu$O
Preface……………………………………………………………………….………..……….4 PuoN<9 #
Chapter 1 TSHH=`cx
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: Jl|^
THEORY……………………………………………………………………………………….5 Cy EEE2cV
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 )! jX$bK
1.1.1 Layered medium electromagnetic field equations………………………………...5 !:|[ ?M.`
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 $G@ ^!(
1.1.3 The Fresnel formulas ……………………………………………………………18 7 R5!(g
1.1.4 Other ways of determining amplitude transmittance and reflectance of the "'\f?A9
layered medium…………………………………………………………………..19 0f3C; u-q-
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 aT`. e
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 y&{ Z"+B5
1.2.1 Matrix calculating method ………………………………………………………22 '1te(+;e@
1.2.2 Description of optical coating and presentation of calculation results…………..28 $mZpX:7/u8
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ^#)M,.G^
1.2.4 Approximate formulas…………………………………………………………...33 /! HFi>
1.2.5 Other recurrent methods…………………………………………………………34 %x zgTZ
1.2.6 The admittance phase plane……………………………………………………...38 ;|H (_J=6k
1.3 Some common properties of multilayer coatings…………………………………….46 ^":Dk5gl
1.3.1 The relation between the characteristic matrix and spectral coefficients of a FST}:*dOe5
multilayer coating ……………………………………………………………….47 !-Br?
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ]`GDZw`
1.3.3 Transmittance and reflectance of the combination of two multilayer t ?404
subsystems ……………………………………………………………………....54 j+7ok 5J#
1.4 The multilayer coatings optical properties: impact of variations in the layer [ [ 8.Xb
parameters……………………………………………………………………………...58 DA -W =Cc
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… U**v'%{s
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 2B=''W
coefficients: probability assessment method ……………………….…………...63 wc7F45l4
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter Yvbk[Rb
variations ………………………………………………………………………...66 ]53'\ TH
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 5*31nMP\
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 /'g"Ys?3
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 1ps_zn (
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 z~+gche>
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the sg!* %*XQ
central wavelength ………………………………………………………………80 8`S6BkfC|
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 8
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1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 wM#BQe3t#
1.6.1 Common expressions for spectral coefficients of filter-type systems near central KIfR4,=Q|
wavelength ………………………………………………………………………88
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1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 [J6 b5
Chapter 2 O)i ]K`jk
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 | *J-9
2.1 Synthesis methods based on merit function optimization …………………………...98 J4;F k
2.1.1 Merit function selection …………………………………………………………98 jQ[M4)>_k`
2.1.2 Merit function optimization ……………………………………………………101 ^&-H"jF
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 z`Cq,Sz/
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 _$Hx:^p:
2.2.1 Needle-like variations of the refractive index ………………………………….115 'ffOFIz|=I
2.2.2 The principal idea of the method ………………………………………………119 WJN}d-S=^
2.2.3 Description of the method ……………………………………………………...124 uRu)iBd D
Bibliography …...………………………………………….……………….………..……130
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