| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS m/"}Y]n!
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Contents 4<S=KFT_
Preface……………………………………………………………………….………..……….4 bb!cZ >Z
Chapter 1 =PmIrvr'[5
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: ,F?O} ijk
THEORY……………………………………………………………………………………….5 r}|a*dh'R
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 rd s0EZ4 W
1.1.1 Layered medium electromagnetic field equations………………………………...5 wF)g@cw
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 7xfN}iHG
1.1.3 The Fresnel formulas ……………………………………………………………18 p sAr>:\3
1.1.4 Other ways of determining amplitude transmittance and reflectance of the '&F
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layered medium…………………………………………………………………..19 #RWmP$+#=
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 MNH-SQB |
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 _ {mG\*q
1.2.1 Matrix calculating method ………………………………………………………22 7D=gAMPvJ
1.2.2 Description of optical coating and presentation of calculation results…………..28 POb2U1Sj
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 znNv;-q
1.2.4 Approximate formulas…………………………………………………………...33 w!/|aZ~*
1.2.5 Other recurrent methods…………………………………………………………34 f"d4HZD^
1.2.6 The admittance phase plane……………………………………………………...38
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1.3 Some common properties of multilayer coatings…………………………………….46 ^dR gYi"(A
1.3.1 The relation between the characteristic matrix and spectral coefficients of a I 7{
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multilayer coating ……………………………………………………………….47 AxiCpAS; J
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 FK,Jk04on
1.3.3 Transmittance and reflectance of the combination of two multilayer 3bR 6Y[
subsystems ……………………………………………………………………....54 fK5iOj'Q
1.4 The multilayer coatings optical properties: impact of variations in the layer D*q:X O6b
parameters……………………………………………………………………………...58 FfibR\dhY
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… f4+}k GJN
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ^e: rRk7 &
coefficients: probability assessment method ……………………….…………...63 G~19Vv*;
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter ~.<}/GP] _
variations ………………………………………………………………………...66 2D"\Ox
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 XO"BEj<x
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 fXB64MNo
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 j(`V& S
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 I #GsEhi
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the <dX7{="&
central wavelength ………………………………………………………………80 Q=.j>aM+_
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 S0mF %"
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88
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1.6.1 Common expressions for spectral coefficients of filter-type systems near central )ja NFJ
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wavelength ………………………………………………………………………88 Tsl0$(2W
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 =f-.aq(G/
Chapter 2 hxj[gE'R(
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 nuLxOd *n
2.1 Synthesis methods based on merit function optimization …………………………...98 I cz) Qtg|
2.1.1 Merit function selection …………………………………………………………98 6ZwFU5)QE/
2.1.2 Merit function optimization ……………………………………………………101 MDh^ic5
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 `|g*T~;
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2.2 Synthesis method based on the needle-like variations of the refractive index ……114 w @ \quy:
2.2.1 Needle-like variations of the refractive index ………………………………….115 O{44GB3
2.2.2 The principal idea of the method ………………………………………………119 UY*[='l!)
2.2.3 Description of the method ……………………………………………………...124 x#&%l JT
Bibliography …...………………………………………….……………….………..……130
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