Basics of OPTICS OF MULTILAYER SYSTEMS (Q-I8Y8l8
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Contents HP a|uDVv
Preface……………………………………………………………………….………..……….4 9b6!CNe!
Chapter 1 [BBpQN.^q6
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: $Kq<W{H3ut
THEORY……………………………………………………………………………………….5 yty` 2$O
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 agaq`^[(P
1.1.1 Layered medium electromagnetic field equations………………………………...5 C>*n 9l[M~
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 M^H90GN)X
1.1.3 The Fresnel formulas ……………………………………………………………18 E ' %lxr
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ,w&:_ n
layered medium…………………………………………………………………..19 =s'7$D}0.
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 w{'2q^>6*
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 v3JPE])/
1.2.1 Matrix calculating method ………………………………………………………22 ^t78jf l
1.2.2 Description of optical coating and presentation of calculation results…………..28 ma9ADFFT
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 2q %K)h
1.2.4 Approximate formulas…………………………………………………………...33 Y&,r Ta
1.2.5 Other recurrent methods…………………………………………………………34 FD6v /Y
1.2.6 The admittance phase plane……………………………………………………...38 O}gX{_|6
1.3 Some common properties of multilayer coatings…………………………………….46 DuF7HTN[K
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 7Qh_8M
multilayer coating ……………………………………………………………….47 @8" 18HEp#
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51
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1.3.3 Transmittance and reflectance of the combination of two multilayer # '>?:k
subsystems ……………………………………………………………………....54 cw+g
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1.4 The multilayer coatings optical properties: impact of variations in the layer a{_ KSg
parameters……………………………………………………………………………...58 e~Hr(O+;e6
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… G+yL;G/
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral /S/aUvN
coefficients: probability assessment method ……………………….…………...63 Igjr~@ #
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter o zxY H],
variations ………………………………………………………………………...66 + v[O
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 C6)R#
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 ;i 9>}]6
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 O3ZM:,.
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 l#6&WWmr
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the Wg( bD,
central wavelength ………………………………………………………………80 &r:m&?!|VQ
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 Qcgu`]7}
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 bm}+}CJ@#0
1.6.1 Common expressions for spectral coefficients of filter-type systems near central & z gPN8u
wavelength ………………………………………………………………………88 sPpS~wk*
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 %FlA ":W
Chapter 2 Q V/";A3k
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 =xBT>h;
2.1 Synthesis methods based on merit function optimization …………………………...98 J" bD\%
2.1.1 Merit function selection …………………………………………………………98 vfXJYw+6_
2.1.2 Merit function optimization ……………………………………………………101 =yh3Nd:u
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 QSmJ `Bm
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 x(vai1CrdH
2.2.1 Needle-like variations of the refractive index ………………………………….115 !
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2.2.2 The principal idea of the method ………………………………………………119 H56
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2.2.3 Description of the method ……………………………………………………...124 O!] ;_q/
Bibliography …...………………………………………….……………….………..……130
