Basics of OPTICS OF MULTILAYER SYSTEMS B:O+*3j
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Contents zP :~O
Preface……………………………………………………………………….………..……….4 ^91sl5c8yD
Chapter 1 y _'e yR@)
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: d&aBs++T
THEORY……………………………………………………………………………………….5 S)"##-~`T
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 s?^,iQ+tp
1.1.1 Layered medium electromagnetic field equations………………………………...5 vIVw'Z(g}
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 2q"_^deI5*
1.1.3 The Fresnel formulas ……………………………………………………………18 4ef*9|^x#
1.1.4 Other ways of determining amplitude transmittance and reflectance of the w~<FG4@LU
layered medium…………………………………………………………………..19 Job /@> ;
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 "H 5&3sF2
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 xw 4ey <"I
1.2.1 Matrix calculating method ………………………………………………………22 CgVh\4,a
1.2.2 Description of optical coating and presentation of calculation results…………..28 :
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1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 \R8 6;9ov
1.2.4 Approximate formulas…………………………………………………………...33 +jq
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1.2.5 Other recurrent methods…………………………………………………………34 ,^.S0;D,Z
1.2.6 The admittance phase plane……………………………………………………...38 _&W0e} 4
1.3 Some common properties of multilayer coatings…………………………………….46 EvwbhvA(
1.3.1 The relation between the characteristic matrix and spectral coefficients of a E7rX1YdR
multilayer coating ……………………………………………………………….47 z @!^ow)`J
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 [urH a
1.3.3 Transmittance and reflectance of the combination of two multilayer PSW #^ o
subsystems ……………………………………………………………………....54 ZJ ^s}
1.4 The multilayer coatings optical properties: impact of variations in the layer @<vF]\Ce
parameters……………………………………………………………………………...58 "0|BoG
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… %S{o5txo
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 8W-]t1O%!
coefficients: probability assessment method ……………………….…………...63 ?N4A9W9
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter McEmd.S<n
variations ………………………………………………………………………...66 w`M]0'zls
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 >W8bWQ^fK
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 dav vI$TA
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 @ (i*-u3Tq
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 cICHRp&&
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the nc <qbN
central wavelength ………………………………………………………………80 c`-YIz)W
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 b![t6-f^z
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 IK8% Q(.c
1.6.1 Common expressions for spectral coefficients of filter-type systems near central G-2EQ .
wavelength ………………………………………………………………………88 0; vtdM[_
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 +d =~LQ}*
Chapter 2 }g}6qCv7
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97
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2.1 Synthesis methods based on merit function optimization …………………………...98 m DZ=Due1
2.1.1 Merit function selection …………………………………………………………98 = Q@6c
2.1.2 Merit function optimization ……………………………………………………101 `Gf{z%/
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 * !X4&#xP
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 !0b%Jh
2.2.1 Needle-like variations of the refractive index ………………………………….115 =]T |h
2.2.2 The principal idea of the method ………………………………………………119 >5c]aNcv
2.2.3 Description of the method ……………………………………………………...124 fzl=d_
Bibliography …...………………………………………….……………….………..……130
