Basics of OPTICS OF MULTILAYER SYSTEMS l (%1jC8
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Contents M xG W(p
Preface……………………………………………………………………….………..……….4 ]d%8k}U
Chapter 1 4g7)i L^#~
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: =>dG L|
THEORY……………………………………………………………………………………….5 $pudoAO
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 0AV c
1.1.1 Layered medium electromagnetic field equations………………………………...5 e,5C8Q`Z
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 U3:j'Su4H?
1.1.3 The Fresnel formulas ……………………………………………………………18 6i*sm.SDw
1.1.4 Other ways of determining amplitude transmittance and reflectance of the W,-g =6 ,
layered medium…………………………………………………………………..19 IkXx# )
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 ;ZG\p TCA
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ))i }7 chc
1.2.1 Matrix calculating method ………………………………………………………22 BRYHX.}h\A
1.2.2 Description of optical coating and presentation of calculation results…………..28 \B
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1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 Y)a^(!<H<
1.2.4 Approximate formulas…………………………………………………………...33 {91nL'-'
1.2.5 Other recurrent methods…………………………………………………………34 1>& ]R=
1.2.6 The admittance phase plane……………………………………………………...38 0{ [,E.
1.3 Some common properties of multilayer coatings…………………………………….46 lu6 (C
1.3.1 The relation between the characteristic matrix and spectral coefficients of a i @R
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multilayer coating ……………………………………………………………….47 (2
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1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 zNuJj L
1.3.3 Transmittance and reflectance of the combination of two multilayer =6#Eh=7N
subsystems ……………………………………………………………………....54 Z87|Zl
1.4 The multilayer coatings optical properties: impact of variations in the layer ',4iFuY
parameters……………………………………………………………………………...58 I,'k>@w{s
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… !7&5` q7
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 0,8okA H
coefficients: probability assessment method ……………………….…………...63 HOh!Xcu
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter ^w06<m
variations ………………………………………………………………………...66 O5t[
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 t@Nyr& |D
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 2Q"K8=s
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 l ?^4!&Nm
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ]P2"[y
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the I y3GE[
central wavelength ………………………………………………………………80 m7>JJX3=<
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 y Ej^=pw
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 AjgF6[ B
1.6.1 Common expressions for spectral coefficients of filter-type systems near central L`EBfz\n
wavelength ………………………………………………………………………88 Gm.]sE?.
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 LRMx<X8
Chapter 2 }XM(:|8J,
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 NS6:yX,/
2.1 Synthesis methods based on merit function optimization …………………………...98 Mzw X>3x
2.1.1 Merit function selection …………………………………………………………98 kd$D 3S ^{
2.1.2 Merit function optimization ……………………………………………………101 9 v!1V,`j"
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 {Fe[:\
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 0tB0@Wj
2.2.1 Needle-like variations of the refractive index ………………………………….115 1q1jZqno
2.2.2 The principal idea of the method ………………………………………………119 q,U+ qt
2.2.3 Description of the method ……………………………………………………...124 bB;5s`-
Bibliography …...………………………………………….……………….………..……130
