| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS EVC]sUT
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Contents 65 $+{s
Preface……………………………………………………………………….………..……….4 Lh b35;\
Chapter 1 LR.<&m%~.
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: CSq4x5!_7>
THEORY……………………………………………………………………………………….5 qL3;}R
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 .jT#:_
1.1.1 Layered medium electromagnetic field equations………………………………...5 c?[I?ytl
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 mQ 26K~
1.1.3 The Fresnel formulas ……………………………………………………………18 %oa-WmWm
1.1.4 Other ways of determining amplitude transmittance and reflectance of the .Una+Z
layered medium…………………………………………………………………..19 !1 H# 6
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 W^LY'ypT
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 Tc`=f'pP)4
1.2.1 Matrix calculating method ………………………………………………………22 EF }\brD1
1.2.2 Description of optical coating and presentation of calculation results…………..28 .p ]RKS=(:
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 9oR@U W1
1.2.4 Approximate formulas…………………………………………………………...33 T9_RBy;%
1.2.5 Other recurrent methods…………………………………………………………34 YdC6k? tzS
1.2.6 The admittance phase plane……………………………………………………...38 Mhf5bN|wQ
1.3 Some common properties of multilayer coatings…………………………………….46 %JD,$p Ps
1.3.1 The relation between the characteristic matrix and spectral coefficients of a gANuBWh8T
multilayer coating ……………………………………………………………….47 Z<y I\1
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 wX5tp1 ?1J
1.3.3 Transmittance and reflectance of the combination of two multilayer &L Zn
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subsystems ……………………………………………………………………....54 `FDiX7M
1.4 The multilayer coatings optical properties: impact of variations in the layer f:|1_ j
parameters……………………………………………………………………………...58 tla
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… sF?TmBQ*
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ^"1n4i m
coefficients: probability assessment method ……………………….…………...63 YPK(be_|I
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter @oY~..d`
variations ………………………………………………………………………...66 j9 4=hJVKi
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 O/a4 ]r+_
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 )E@.!Ut4o
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 Ln<`E|[29
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76
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1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the cr?Q[8%t1
central wavelength ………………………………………………………………80 OXSmt
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1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 [-k
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 xH(lm2kvT
1.6.1 Common expressions for spectral coefficients of filter-type systems near central JG!m c7
wavelength ………………………………………………………………………88 mD0f<gJ1
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 K'Tm_"[u
Chapter 2 H*&f: mfq
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 [.'| _l
2.1 Synthesis methods based on merit function optimization …………………………...98 Ng>5?F^v
2.1.1 Merit function selection …………………………………………………………98 3kIN~/<R+7
2.1.2 Merit function optimization ……………………………………………………101 1 s2>C!\
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 _jI,)sr4ic
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 +[A QU c
2.2.1 Needle-like variations of the refractive index ………………………………….115 4Lh!8g=/
2.2.2 The principal idea of the method ………………………………………………119 lhz{1P]s
2.2.3 Description of the method ……………………………………………………...124 J^nBdofP
Bibliography …...………………………………………….……………….………..……130
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