Basics of OPTICS OF MULTILAYER SYSTEMS P@D\5}*6
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Preface……………………………………………………………………….………..……….4 HD& Cp
Chapter 1 P- +]4\
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: H>},{ z
THEORY……………………………………………………………………………………….5 PpH
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1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ,.h@tN<C
1.1.1 Layered medium electromagnetic field equations………………………………...5 B&_Z&H=
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 T+B8SZw#}!
1.1.3 The Fresnel formulas ……………………………………………………………18 /;{L~f=et)
1.1.4 Other ways of determining amplitude transmittance and reflectance of the 0+u>"7T
layered medium…………………………………………………………………..19 ,Xr`tQ<@
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 y0-UO+;
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 H_Xk;fM
1.2.1 Matrix calculating method ………………………………………………………22 ^;F5ymb3U
1.2.2 Description of optical coating and presentation of calculation results…………..28 ]0BX5Z'
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 A}}dc:$C
1.2.4 Approximate formulas…………………………………………………………...33 <sw=:HU
1.2.5 Other recurrent methods…………………………………………………………34 j
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1.2.6 The admittance phase plane……………………………………………………...38 |5ge4,}0
1.3 Some common properties of multilayer coatings…………………………………….46 f:y1eLl3
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 'Ebjn>"
multilayer coating ……………………………………………………………….47 oz]&=>$1I
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 q"oNFHYPDs
1.3.3 Transmittance and reflectance of the combination of two multilayer o';/$xrH
subsystems ……………………………………………………………………....54 9|[uie
1.4 The multilayer coatings optical properties: impact of variations in the layer z'Z[mrLq
parameters……………………………………………………………………………...58 y?P`vHf
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… e6bh,BwgQq
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral ><>%;HZ
coefficients: probability assessment method ……………………….…………...63 |)C*i
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter HVhP |+
variations ………………………………………………………………………...66 "RM\<)IF
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 jVZ<i}h0B
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 J#ClQ%
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 =9W\;xE S
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 %n GjP^
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the :YOo"3.]
central wavelength ………………………………………………………………80 7!h>
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1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 #
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1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 co1aG,>"q
1.6.1 Common expressions for spectral coefficients of filter-type systems near central U]w"T{;@.)
wavelength ………………………………………………………………………88 X/90S2=P
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 3"< 0_3?W
Chapter 2 {qbe
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SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 yTh%[k
2.1 Synthesis methods based on merit function optimization …………………………...98 ZO%iyc%
2.1.1 Merit function selection …………………………………………………………98 $IjI{%
2.1.2 Merit function optimization ……………………………………………………101 )J0h\ky
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 yP>025o't
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 UV0[S8A
2.2.1 Needle-like variations of the refractive index ………………………………….115 `'sD (e
2.2.2 The principal idea of the method ………………………………………………119 NdSuOkwwt
2.2.3 Description of the method ……………………………………………………...124 PgGUs4[
Bibliography …...………………………………………….……………….………..……130