Basics of OPTICS OF MULTILAYER SYSTEMS Z
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Preface……………………………………………………………………….………..……….4 VQ2Fnb4
Chapter 1 oB4#J*
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 2sUbiDe-
THEORY……………………………………………………………………………………….5 sv'
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1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 z4g+2f7h-X
1.1.1 Layered medium electromagnetic field equations………………………………...5 Fqo&3+J4
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 0F^]A"kF
1.1.3 The Fresnel formulas ……………………………………………………………18 7ZQ'h3K
1.1.4 Other ways of determining amplitude transmittance and reflectance of the Hr6 wgYPi
layered medium…………………………………………………………………..19 }hCa NQ&jH
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 y5_XHi@u~o
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 r
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1.2.1 Matrix calculating method ………………………………………………………22 xo(k?+P>.
1.2.2 Description of optical coating and presentation of calculation results…………..28 < 9`?Z-lJP
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 JPsSw
1.2.4 Approximate formulas…………………………………………………………...33 8^y= H=
1.2.5 Other recurrent methods…………………………………………………………34 qL3@PSN?|
1.2.6 The admittance phase plane……………………………………………………...38 o_O+u%y
1.3 Some common properties of multilayer coatings…………………………………….46 k Q~ %=pn
1.3.1 The relation between the characteristic matrix and spectral coefficients of a TMww
multilayer coating ……………………………………………………………….47 V}SyD(8~
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 \e|U9;Mf
1.3.3 Transmittance and reflectance of the combination of two multilayer
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subsystems ……………………………………………………………………....54 SF^x=[ir
1.4 The multilayer coatings optical properties: impact of variations in the layer SW#BZ3L
parameters……………………………………………………………………………...58 H*rx{ F?
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… H <Hrwy~
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral Ft)
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coefficients: probability assessment method ……………………….…………...63 ] 26 mB
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter uB;_vC
variations ………………………………………………………………………...66 J\{ $ot
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 }/p/ pVz
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 ?+Q$#pb
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 ~:EW>Fq%i
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 G?/c/r G
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the _f3
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central wavelength ………………………………………………………………80 z]$>+MH_
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 HIGNRm
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 %`+'v_iu
1.6.1 Common expressions for spectral coefficients of filter-type systems near central 2tf6GX :
wavelength ………………………………………………………………………88 KDD@% E
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 Sl>>SP
Chapter 2 j V^C19
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 Hbk&6kS
2.1 Synthesis methods based on merit function optimization …………………………...98 ?'sXgo.}
2.1.1 Merit function selection …………………………………………………………98
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2.1.2 Merit function optimization ……………………………………………………101 2xn<E>]
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 ^i'y6J
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 8QF2^*RZ7z
2.2.1 Needle-like variations of the refractive index ………………………………….115 s4$X
2.2.2 The principal idea of the method ………………………………………………119 etyCrQ
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2.2.3 Description of the method ……………………………………………………...124 %hINpZMr
Bibliography …...………………………………………….……………….………..……130
