Basics of OPTICS OF MULTILAYER SYSTEMS luACdC
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Contents #K.OJJaG
Preface……………………………………………………………………….………..……….4 fW~r%u
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Chapter 1 _Jx.?8
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: _ <yGen-
THEORY……………………………………………………………………………………….5 mHrt)0\_
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 7m~.V[l1
1.1.1 Layered medium electromagnetic field equations………………………………...5 yw `w6Z3K
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 i+ ( k
1.1.3 The Fresnel formulas ……………………………………………………………18 KC9_H>
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ~ OD} `
layered medium…………………………………………………………………..19 . :A9*,
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 y!&6"l$K]
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 PN:/lIO
1.2.1 Matrix calculating method ………………………………………………………22 [~m@'/
1.2.2 Description of optical coating and presentation of calculation results…………..28 1v)ur\>R
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 rV*9 =
1.2.4 Approximate formulas…………………………………………………………...33 kG@~;*;l
1.2.5 Other recurrent methods…………………………………………………………34 S +
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1.2.6 The admittance phase plane……………………………………………………...38 3B8\r}L
1.3 Some common properties of multilayer coatings…………………………………….46 {&nL'R
1.3.1 The relation between the characteristic matrix and spectral coefficients of a ;|*o^9q
multilayer coating ……………………………………………………………….47 VRQ'sn@
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 xTiC[<j
1.3.3 Transmittance and reflectance of the combination of two multilayer U2 m86@E
subsystems ……………………………………………………………………....54 -7,xjn
1.4 The multilayer coatings optical properties: impact of variations in the layer eLW D?-v%
parameters……………………………………………………………………………...58 G`8i{3:
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… )65 o
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 2XI%z4\)!
coefficients: probability assessment method ……………………….…………...63
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1.4.3 Multilayer coating spectral properties: influence of separate layer parameter d|#sgGM<8
variations ………………………………………………………………………...66 `1k0wT(
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 :ZX#w`Y
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 wXI6KN-
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 RG[b+Qjn
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 CzDJbvv ]
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the {ZQ|Ydpk
central wavelength ………………………………………………………………80 xc{$=>'G
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 )RV.N}NU
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 :Rl *64}
1.6.1 Common expressions for spectral coefficients of filter-type systems near central $fZVh%
wavelength ………………………………………………………………………88 EAafi <n
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 J:WO %P=Q
Chapter 2 U? BuV
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 jyB^a;-
2.1 Synthesis methods based on merit function optimization …………………………...98 (j hD O7
2.1.1 Merit function selection …………………………………………………………98 (#,0\ea{x
2.1.2 Merit function optimization ……………………………………………………101 :+ Ti^FF`w
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 bit@Kv1<C
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 [C_Dv-d
2.2.1 Needle-like variations of the refractive index ………………………………….115 "A? &`}%
2.2.2 The principal idea of the method ………………………………………………119 .YOC|\
2.2.3 Description of the method ……………………………………………………...124 %z1y3I|`[t
Bibliography …...………………………………………….……………….………..……130
