Basics of OPTICS OF MULTILAYER SYSTEMS 8v1asFxs.
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Contents j='Ne5X1
Preface……………………………………………………………………….………..……….4 \_@u"+,$W
Chapter 1 @`}'P115@
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: 8(KsU,%d
THEORY……………………………………………………………………………………….5 ~/3cQN^
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 g%j z,|
1.1.1 Layered medium electromagnetic field equations………………………………...5 po=*%Zs*T
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 dyWW gC%A
1.1.3 The Fresnel formulas ……………………………………………………………18 - 2> L*"^
1.1.4 Other ways of determining amplitude transmittance and reflectance of the p: sn>Y
layered medium…………………………………………………………………..19 b_V)]>v+
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 FD| R4 V*3
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 LU?#{dZ
1.2.1 Matrix calculating method ………………………………………………………22 =6
1.2.2 Description of optical coating and presentation of calculation results…………..28 ddnWr"_
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 HxZ4t
1.2.4 Approximate formulas…………………………………………………………...33 _I{&5V~z
1.2.5 Other recurrent methods…………………………………………………………34 xO1d^{~^^
1.2.6 The admittance phase plane……………………………………………………...38 e-qr d
1.3 Some common properties of multilayer coatings…………………………………….46 nkJ*$cT1o
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 'U1r}.+b>
multilayer coating ……………………………………………………………….47 h^hEyrJw
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 42z9N\ f
1.3.3 Transmittance and reflectance of the combination of two multilayer BD4.sd+H,
subsystems ……………………………………………………………………....54 Q2 rZMK
1.4 The multilayer coatings optical properties: impact of variations in the layer = 1}-]ctVn
parameters……………………………………………………………………………...58 /f%u_ 8pV%
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… a pY m,_
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral W:rzfO.`Z
coefficients: probability assessment method ……………………….…………...63 NP B':r-8
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter zztW7MG2lQ
variations ………………………………………………………………………...66 G>:l(PW:
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 l*X5<b9
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 OPKX&)SE-
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 pQVi&( M
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 n1sH`C[c
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the X]1 ep
central wavelength ………………………………………………………………80 RtqW!ZZ:H
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 zv0 RrF^
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 <NJ 7mR}
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ~Dy0HVE
wavelength ………………………………………………………………………88 xVl90ak
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 cz T@ txF
Chapter 2 IZ2#jSDn
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 :A[bqRqe
2.1 Synthesis methods based on merit function optimization …………………………...98 n]j(tP
2.1.1 Merit function selection …………………………………………………………98 Ok:@ F/ v
2.1.2 Merit function optimization ……………………………………………………101 jNIM1_JjD
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 e#zGLxa
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 AOWI`
2.2.1 Needle-like variations of the refractive index ………………………………….115 n Isi
2.2.2 The principal idea of the method ………………………………………………119 CJu;X[6
2.2.3 Description of the method ……………………………………………………...124 zkd#vAY(A
Bibliography …...………………………………………….……………….………..……130
