| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS _\1 (7 ?0D
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Contents 2L\h+)
Preface……………………………………………………………………….………..……….4 Xau.4&\d
Chapter 1 l md0Q(I
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: $)uQ%/DH >
THEORY……………………………………………………………………………………….5 O}%=c\Pb
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 >LNl8X:Cz*
1.1.1 Layered medium electromagnetic field equations………………………………...5 4 $;fj1!Z:
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 a RV!0?fS
1.1.3 The Fresnel formulas ……………………………………………………………18 U%#=d@?
1.1.4 Other ways of determining amplitude transmittance and reflectance of the AfY(+w6!K
layered medium…………………………………………………………………..19 R52!pB0[
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 c.XLEjV|
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 L RmO6>y
1.2.1 Matrix calculating method ………………………………………………………22 jG/ kT5 S
1.2.2 Description of optical coating and presentation of calculation results…………..28 Rp| :$5&nE
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ' |+_~ZO*d
1.2.4 Approximate formulas…………………………………………………………...33 vXf#gX!Y
1.2.5 Other recurrent methods…………………………………………………………34 6 tzn% ?
1.2.6 The admittance phase plane……………………………………………………...38 K;Xn!:) V:
1.3 Some common properties of multilayer coatings…………………………………….46 WRnUF [y+)
1.3.1 The relation between the characteristic matrix and spectral coefficients of a H1@"Yg8
multilayer coating ……………………………………………………………….47 44]ae~@a
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 |)lo<}{
1.3.3 Transmittance and reflectance of the combination of two multilayer :Rq D0>1
subsystems ……………………………………………………………………....54 oNdO@i%.q4
1.4 The multilayer coatings optical properties: impact of variations in the layer 'R$~U?i8
parameters……………………………………………………………………………...58 nQgn^z#
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… n[clYi@e
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ,rN7X<s54
coefficients: probability assessment method ……………………….…………...63 u|Ai<2b$
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter Z`f _e?
variations ………………………………………………………………………...66 o 1b#q/
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68
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1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 '.bMkty#
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 O=m J8W@
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 (kS k bwu
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the d
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central wavelength ………………………………………………………………80 XR +2|o
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 ~jP e9
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 iGp@P=;m
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 1-, l| K
wavelength ………………………………………………………………………88 H@ 6
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 WT0U)x( m5
Chapter 2 /RMep8 &
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 }{ P}P}
2.1 Synthesis methods based on merit function optimization …………………………...98 5yQgGd)
2.1.1 Merit function selection …………………………………………………………98 qv<VKJTi6]
2.1.2 Merit function optimization ……………………………………………………101 !nd*U}q
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 p&q&Fr-
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 LPXwfEHOm
2.2.1 Needle-like variations of the refractive index ………………………………….115 ;^xku%u
2.2.2 The principal idea of the method ………………………………………………119 3}vlj:L
2.2.3 Description of the method ……………………………………………………...124 4f>Vg$4
Bibliography …...………………………………………….……………….………..……130
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