Basics of OPTICS OF MULTILAYER SYSTEMS TK\3mrEI
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Contents '0q$qN
Preface……………………………………………………………………….………..……….4 HFy9b|pjy
Chapter 1 1s =Q~*f~d
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: KU` *LB:
THEORY……………………………………………………………………………………….5 ?=&S?p)-<
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 ur'<8pDb$
1.1.1 Layered medium electromagnetic field equations………………………………...5 {P~rf&Ee
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ySO\9#Ho
1.1.3 The Fresnel formulas ……………………………………………………………18 r@zT!.sc!
1.1.4 Other ways of determining amplitude transmittance and reflectance of the \N 0vA~N.
layered medium…………………………………………………………………..19 ? F
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1.1.5 Transmittance, reflectance and absorptance …………………………………….20 5qQMGN$K
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 3[fm| aU
1.2.1 Matrix calculating method ………………………………………………………22 JXU ?'@QY
1.2.2 Description of optical coating and presentation of calculation results…………..28 YQG
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1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 % mT/y%&:
1.2.4 Approximate formulas…………………………………………………………...33 %CiF;wJ
1.2.5 Other recurrent methods…………………………………………………………34 ?}s;, _GH
1.2.6 The admittance phase plane……………………………………………………...38 L>sLb(2\i
1.3 Some common properties of multilayer coatings…………………………………….46 ~KS@Ulrox
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 8Zsaq1S
multilayer coating ……………………………………………………………….47 sS}: O d
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 wX]$xZ!s
1.3.3 Transmittance and reflectance of the combination of two multilayer Ju47} t%HB
subsystems ……………………………………………………………………....54 \Yr*x7!
1.4 The multilayer coatings optical properties: impact of variations in the layer aH _c 84DS
parameters……………………………………………………………………………...58 `Fr ,,Q81\
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… lF! PiL
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral '|ntwK*f
coefficients: probability assessment method ……………………….…………...63 Zc~7R`v7}
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter IXa~,a H71
variations ………………………………………………………………………...66 xE<H@@w
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 }UW*[dCf>C
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 G:$kGzhJ
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 Gr2}N"X=
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 C][hH?.
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the C +s/KA%
central wavelength ………………………………………………………………80 6;'[v}O^^
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 1}=D
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 ^ul1{
1.6.1 Common expressions for spectral coefficients of filter-type systems near central <9fXf *
wavelength ………………………………………………………………………88 $oQOOa@;i)
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 Zwc&4:5%
Chapter 2 tz;o6,eb
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 u5}:[4N%I
2.1 Synthesis methods based on merit function optimization …………………………...98 N zQvciJ@"
2.1.1 Merit function selection …………………………………………………………98 kb2C 9<
2.1.2 Merit function optimization ……………………………………………………101 q ][kD2
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 '69)m~B0a
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 X^eyrq v
2.2.1 Needle-like variations of the refractive index ………………………………….115 Ly2,*\7
2.2.2 The principal idea of the method ………………………………………………119 ?l6yLn5si^
2.2.3 Description of the method ……………………………………………………...124 }}TPu8Rl
Bibliography …...………………………………………….……………….………..……130
