Basics of OPTICS OF MULTILAYER SYSTEMS S:g6z'e1
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Contents ZX+0{E8a
Preface……………………………………………………………………….………..……….4 %qrUP\rn
Chapter 1 06pY10 <>X
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: f@Ve,i
THEORY……………………………………………………………………………………….5 y{P~!Yn|
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 }HbUB$5
1.1.1 Layered medium electromagnetic field equations………………………………...5 ':\bn:;
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 & R<K>i
1.1.3 The Fresnel formulas ……………………………………………………………18 " K|':3n|
1.1.4 Other ways of determining amplitude transmittance and reflectance of the HmsXV_B8[Y
layered medium…………………………………………………………………..19 O#8lJ%?
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 \\oa[nvL~
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 uE,T Ea 9;
1.2.1 Matrix calculating method ………………………………………………………22 1]8Hpd
1.2.2 Description of optical coating and presentation of calculation results…………..28 -@'RYY=
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 Mg^A,8lrm
1.2.4 Approximate formulas…………………………………………………………...33 "yU<X\n i
1.2.5 Other recurrent methods…………………………………………………………34 >N~jlr |
1.2.6 The admittance phase plane……………………………………………………...38 5Tidb$L;Du
1.3 Some common properties of multilayer coatings…………………………………….46 t08[3Q&
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ^6CPC@B1
multilayer coating ……………………………………………………………….47 :Xx7':5
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 c~\ ^C_
1.3.3 Transmittance and reflectance of the combination of two multilayer kMa|V0
subsystems ……………………………………………………………………....54 9(a* 0H
1.4 The multilayer coatings optical properties: impact of variations in the layer a dy
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parameters……………………………………………………………………………...58 {@"
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1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… $S/WAw,/
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 5! 6iAS+I
coefficients: probability assessment method ……………………….…………...63 dleLX%P
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter d(Yuz#Qcrh
variations ………………………………………………………………………...66 sv\=/F@n
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ~dsx| G?p
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 6UPGE",u
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 yaI jXv
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ,mD $h?g
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the JQ]MkP
central wavelength ………………………………………………………………80 P^BSl7cT
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 @Js@\)P79
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 <V8=*n"mR
1.6.1 Common expressions for spectral coefficients of filter-type systems near central rO,n~|YJ
wavelength ………………………………………………………………………88 ;O .;i,#Z
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 uy=<n5`oNG
Chapter 2 Ao9|t;i
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 /w*HxtwFmD
2.1 Synthesis methods based on merit function optimization …………………………...98 {]y!2 r
2.1.1 Merit function selection …………………………………………………………98 cgQ2Wo7tCq
2.1.2 Merit function optimization ……………………………………………………101 'GZ,
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 DK%@ [D
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 $fW8S8
2.2.1 Needle-like variations of the refractive index ………………………………….115 _ [hVGCSB
2.2.2 The principal idea of the method ………………………………………………119 uKT\\1Jrq
2.2.3 Description of the method ……………………………………………………...124 )Z`OkkabnD
Bibliography …...………………………………………….……………….………..……130
