Basics of OPTICS OF MULTILAYER SYSTEMS h,!`2_&UQ
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Contents L! l`2[F|
Preface……………………………………………………………………….………..……….4 "MX9h }7
Chapter 1 E/5/5'gBJO
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: *rH# k?
THEORY……………………………………………………………………………………….5 4apy {W
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 J&w'0
1.1.1 Layered medium electromagnetic field equations………………………………...5 b>]MZhLJe
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 "' @>cJ=
1.1.3 The Fresnel formulas ……………………………………………………………18 N:%
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1.1.4 Other ways of determining amplitude transmittance and reflectance of the \:Vm7Zg
layered medium…………………………………………………………………..19 DV5K)m&G
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 i+XHXpk
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 tOT(!yz
1.2.1 Matrix calculating method ………………………………………………………22 7AouiL 2-W
1.2.2 Description of optical coating and presentation of calculation results…………..28 NG\g_^.M
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 {I^@ B W-
1.2.4 Approximate formulas…………………………………………………………...33 79MF;>=tV
1.2.5 Other recurrent methods…………………………………………………………34 %} / |/=
1.2.6 The admittance phase plane……………………………………………………...38 V
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1.3 Some common properties of multilayer coatings…………………………………….46 f:u3fL
1.3.1 The relation between the characteristic matrix and spectral coefficients of a \&#IK9x{
multilayer coating ……………………………………………………………….47 EH~t<
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 2, R5mL$
1.3.3 Transmittance and reflectance of the combination of two multilayer 3-6Lbe9H
subsystems ……………………………………………………………………....54 C;jV)hr6P
1.4 The multilayer coatings optical properties: impact of variations in the layer A(v5VvgZE
parameters……………………………………………………………………………...58 S |pf .l
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 8%Eemk >G{
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral Zv|TvlyT"
coefficients: probability assessment method ……………………….…………...63
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter @{LD_>R
variations ………………………………………………………………………...66 J]4pPDm
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 FhJtiw@
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 f2 .|[
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 t4[<N
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 #sHt3z )6I
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the kPvR ,
central wavelength ………………………………………………………………80 IDn$w^"
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 F`8B PWUY
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 -F~ "W@ 9r
1.6.1 Common expressions for spectral coefficients of filter-type systems near central Mo4k6@ht_
wavelength ………………………………………………………………………88 AU3>v
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 D\0 q lCAs
Chapter 2 ZgI ?#e
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 ?&_u$Nn
2.1 Synthesis methods based on merit function optimization …………………………...98 ttfCiP$
2.1.1 Merit function selection …………………………………………………………98 Ra)A Q
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2.1.2 Merit function optimization ……………………………………………………101 \\9I:-j:p
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 \6L,jSoBl
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 :N#8|;J1Fl
2.2.1 Needle-like variations of the refractive index ………………………………….115 E
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2.2.2 The principal idea of the method ………………………………………………119 peD7X :K\s
2.2.3 Description of the method ……………………………………………………...124 7 <<`9,
Bibliography …...………………………………………….……………….………..……130
