Basics of OPTICS OF MULTILAYER SYSTEMS R/r)l<X@
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Contents <l]P
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Preface……………………………………………………………………….………..……….4 W)3?T& `
Chapter 1 ia
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SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: e*p7(b-
THEORY……………………………………………………………………………………….5 \$Y Kw0K
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ;EbGW&T
1.1.1 Layered medium electromagnetic field equations………………………………...5 9Z]~c^UB
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 $ysemDq-a\
1.1.3 The Fresnel formulas ……………………………………………………………18 OQMkpX-dH
1.1.4 Other ways of determining amplitude transmittance and reflectance of the sS;6QkI"y
layered medium…………………………………………………………………..19 }S51yDV G_
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 n 1MZHa,
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ,gGIkl&
1.2.1 Matrix calculating method ………………………………………………………22 S[, !
1.2.2 Description of optical coating and presentation of calculation results…………..28 |niYN7 17
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 +aaj3m
1.2.4 Approximate formulas…………………………………………………………...33 q p_lMz
1.2.5 Other recurrent methods…………………………………………………………34 b/'{6zn
1.2.6 The admittance phase plane……………………………………………………...38 ~$n4Yuu2[
1.3 Some common properties of multilayer coatings…………………………………….46 E^w2IIw
1.3.1 The relation between the characteristic matrix and spectral coefficients of a Q\Dx/?g!vx
multilayer coating ……………………………………………………………….47 :)VO,b~r
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 OV3l)73?t
1.3.3 Transmittance and reflectance of the combination of two multilayer KBJw7rra
subsystems ……………………………………………………………………....54 )9F-h8
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1.4 The multilayer coatings optical properties: impact of variations in the layer eqbQ,, &
parameters……………………………………………………………………………...58 Fb=(FQ2Y?
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… s tuj,8
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral koOkm:(,
coefficients: probability assessment method ……………………….…………...63 OE' ?3S
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter jGpSECs
variations ………………………………………………………………………...66 c} )U:?6
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 hw! l{yv
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 -F=?M+9[
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 2 Ya)I k{
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 NRu _6~^^
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the }5c%v 1
central wavelength ………………………………………………………………80 Yt& Isi
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1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 <knf^D<"
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 !>QS746S@
1.6.1 Common expressions for spectral coefficients of filter-type systems near central -n&g**\w
wavelength ………………………………………………………………………88 ,Y *unk<S
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92
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Chapter 2 <=.0
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SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 A q' yr,
2.1 Synthesis methods based on merit function optimization …………………………...98 e??tp]PLn
2.1.1 Merit function selection …………………………………………………………98 X`i' U7%I
2.1.2 Merit function optimization ……………………………………………………101 mdjPK rF<
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 B1< :nl
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 0K/Pth"*
2.2.1 Needle-like variations of the refractive index ………………………………….115 X`#,*Hk K
2.2.2 The principal idea of the method ………………………………………………119 n@5Sp2p
2.2.3 Description of the method ……………………………………………………...124 E;!pK9wL|
Bibliography …...………………………………………….……………….………..……130
