Basics of OPTICS OF MULTILAYER SYSTEMS C
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Contents ,_Fq *6
Preface……………………………………………………………………….………..……….4 qB7.LR*'
Chapter 1 }x-~>$:"
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: [ WZ<d^L
THEORY……………………………………………………………………………………….5 f b_tda",}
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 }<&g1x'pa
1.1.1 Layered medium electromagnetic field equations………………………………...5 FWdSpaas Q
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 (J<@e!@NE
1.1.3 The Fresnel formulas ……………………………………………………………18 &. o}(e:]
1.1.4 Other ways of determining amplitude transmittance and reflectance of the n\*> m p )
layered medium…………………………………………………………………..19 #joU}Rj|
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 }k<b)I*A
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ygUvO3Z
1.2.1 Matrix calculating method ………………………………………………………22 4^alAq^
1.2.2 Description of optical coating and presentation of calculation results…………..28 ^$_ifkkLz
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 pLBp[GQ
1.2.4 Approximate formulas…………………………………………………………...33 '4FS.0* _
1.2.5 Other recurrent methods…………………………………………………………34 QhZ!A?':U
1.2.6 The admittance phase plane……………………………………………………...38 60teD>Eh,
1.3 Some common properties of multilayer coatings…………………………………….46 N(}7M~m>
1.3.1 The relation between the characteristic matrix and spectral coefficients of a nUhD41GJ
multilayer coating ……………………………………………………………….47 !U,qr0h
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ahS*YeS7
1.3.3 Transmittance and reflectance of the combination of two multilayer R`Z U'|
subsystems ……………………………………………………………………....54 F!`.y7hY@
1.4 The multilayer coatings optical properties: impact of variations in the layer nf /iZ &
parameters……………………………………………………………………………...58 **-%5 ~
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… F>n <;<
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral Y: KB"H
coefficients: probability assessment method ……………………….…………...63 p4Vw`i+DnH
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter I LF"m;
variations ………………………………………………………………………...66 ) Ah
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ?_W "=WpC
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 ;csAhkf:S
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 5&2=;?EO
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 5:CC\!&QBV
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the Ej 'a
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central wavelength ………………………………………………………………80 A~nq4@uj
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 V[+ Pb]
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 |m k $W$h
1.6.1 Common expressions for spectral coefficients of filter-type systems near central lUCdnp;w'
wavelength ………………………………………………………………………88 N.xmHv Pk
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 kc|`VB8L
Chapter 2 }
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SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 0NpxqeIDY
2.1 Synthesis methods based on merit function optimization …………………………...98 b
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2.1.1 Merit function selection …………………………………………………………98 ;5" r)F+P
2.1.2 Merit function optimization ……………………………………………………101 <B$Lu4b@c
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 /
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2.2 Synthesis method based on the needle-like variations of the refractive index ……114 +*)B;)P
2.2.1 Needle-like variations of the refractive index ………………………………….115 ;N ]ElwP
2.2.2 The principal idea of the method ………………………………………………119 .b N0!
2.2.3 Description of the method ……………………………………………………...124 z~o%U&DO}
Bibliography …...………………………………………….……………….………..……130
