Basics of OPTICS OF MULTILAYER SYSTEMS S[ !6Lw
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Contents R_B0CM<!
Preface……………………………………………………………………….………..……….4 FbroI>" e
Chapter 1 e1a\ --
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 6&0 @k^7~
THEORY……………………………………………………………………………………….5 K-:y
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ViiJDYT>E<
1.1.1 Layered medium electromagnetic field equations………………………………...5 d)1gpRp
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 OGg\VV'
1.1.3 The Fresnel formulas ……………………………………………………………18 7(]F+\A3
1.1.4 Other ways of determining amplitude transmittance and reflectance of the qdI%v#'M
layered medium…………………………………………………………………..19 iS,l
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 m6 [ }KkW
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 N$kxf
1.2.1 Matrix calculating method ………………………………………………………22 1s( T# jh
1.2.2 Description of optical coating and presentation of calculation results…………..28 ,2$<Pt;
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 LUD .
1.2.4 Approximate formulas…………………………………………………………...33 SI~j M:S}
1.2.5 Other recurrent methods…………………………………………………………34 cy.r /Z}
1.2.6 The admittance phase plane……………………………………………………...38 }P?e31@:
1.3 Some common properties of multilayer coatings…………………………………….46 "7y, d%H
1.3.1 The relation between the characteristic matrix and spectral coefficients of a %\
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multilayer coating ……………………………………………………………….47 ]UUa/ep-
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 ]O@iT= *3
1.3.3 Transmittance and reflectance of the combination of two multilayer OM0r*<D"!
subsystems ……………………………………………………………………....54 avq$aq(3&
1.4 The multilayer coatings optical properties: impact of variations in the layer (a#gCG\
parameters……………………………………………………………………………...58 j yD3Sa3
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… U.,S.WP+d
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral pM@8T2 5=
coefficients: probability assessment method ……………………….…………...63 N-QS/*C.~
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter Z pg;hj5_
variations ………………………………………………………………………...66 Ht;Rz*}
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 cZ_)'0
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 vQLYWRXiA
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 2pdeJ
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 rb-a o\
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the g0j)k6<6(Y
central wavelength ………………………………………………………………80 KV$&qM.
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 A]!0Z:{h%
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 ZwBz\jmbP
1.6.1 Common expressions for spectral coefficients of filter-type systems near central +o`%7r(R
wavelength ………………………………………………………………………88 'Wnh1|z
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 nSyLt6zn\
Chapter 2 n5kGHL2
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 |gI>Sp%Fu
2.1 Synthesis methods based on merit function optimization …………………………...98 xg/(
2.1.1 Merit function selection …………………………………………………………98 - $<oY8 8
2.1.2 Merit function optimization ……………………………………………………101 pL1ABvBB
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 9k ~8n9
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 c`;oV- f
2.2.1 Needle-like variations of the refractive index ………………………………….115 ,Suk_aX>
2.2.2 The principal idea of the method ………………………………………………119 ?pZU'5le`
2.2.3 Description of the method ……………………………………………………...124 =!q]0#
Bibliography …...………………………………………….……………….………..……130
