Basics of OPTICS OF MULTILAYER SYSTEMS i RrUIWx
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Contents p($vM^_ <"
Preface……………………………………………………………………….………..……….4 ~NK $rHwi%
Chapter 1 ) &O2l
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: F&wAre<
THEORY……………………………………………………………………………………….5 9Q,>I6`l
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 O`y3H lc
1.1.1 Layered medium electromagnetic field equations………………………………...5 j_g(6uZhz3
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 y-+W
1.1.3 The Fresnel formulas ……………………………………………………………18 e}?Q&Lci
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 6{.U7="
layered medium…………………………………………………………………..19 2JK
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1.1.5 Transmittance, reflectance and absorptance …………………………………….20 f1aZnl
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 o.!o4&W H
1.2.1 Matrix calculating method ………………………………………………………22 ,7@\e &/&
1.2.2 Description of optical coating and presentation of calculation results…………..28 }BC%(ZH6
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 l-%] f]>
1.2.4 Approximate formulas…………………………………………………………...33 VrRF2(Kn?
1.2.5 Other recurrent methods…………………………………………………………34 L/rf5||@
1.2.6 The admittance phase plane……………………………………………………...38 4x)vy -y
1.3 Some common properties of multilayer coatings…………………………………….46 JY CMW! ~
1.3.1 The relation between the characteristic matrix and spectral coefficients of a Aeh #
multilayer coating ……………………………………………………………….47 &6 s&nx
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 -/?)0E
1.3.3 Transmittance and reflectance of the combination of two multilayer ,1~zYL?
subsystems ……………………………………………………………………....54 U 2YY
1.4 The multilayer coatings optical properties: impact of variations in the layer [voZ=+/
parameters……………………………………………………………………………...58 ra'/~^9
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 4\-11!'08
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral `]W9Fj<1j
coefficients: probability assessment method ……………………….…………...63 OS#aYER~/
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter o_ Zs0/
variations ………………………………………………………………………...66 2p, U ^h
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 H-pf8
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 "yQBHYP
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 {*+J`H_G2a
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ;av!fK
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the F3( Sb M-
central wavelength ………………………………………………………………80 &fB=&jc*j
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 .;7V]B1o
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 q!Ek
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1.6.1 Common expressions for spectral coefficients of filter-type systems near central 8D)1ZUx7`
wavelength ………………………………………………………………………88 8/ >.g.]
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 t4UK~ {gh
Chapter 2 =7}1 N eC`
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 _{'[Uf/l
2.1 Synthesis methods based on merit function optimization …………………………...98 0M;g&&mF
2.1.1 Merit function selection …………………………………………………………98 hiVa\s
2.1.2 Merit function optimization ……………………………………………………101 %mss{p!d6
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 R*bx&..<
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 C jPdN#*l
2.2.1 Needle-like variations of the refractive index ………………………………….115 H 0+-$s;f
2.2.2 The principal idea of the method ………………………………………………119 lUjZ=3"'
2.2.3 Description of the method ……………………………………………………...124 / b>xQ.G
Bibliography …...………………………………………….……………….………..……130
