Basics of OPTICS OF MULTILAYER SYSTEMS oAWk<B(@
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Contents XoSjYG(>,
Preface……………………………………………………………………….………..……….4 8<P $E!
Chapter 1 |k&.1NkZ
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: w0SzK-&
THEORY……………………………………………………………………………………….5 TFxb\
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 NOx&`OU+
1.1.1 Layered medium electromagnetic field equations………………………………...5 G !1- 20
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 *U54x
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1.1.3 The Fresnel formulas ……………………………………………………………18 F.A<e #e?
1.1.4 Other ways of determining amplitude transmittance and reflectance of the ;~]&$ 2sk
layered medium…………………………………………………………………..19 K?[pCF2C
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 c7s4 g-
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 |@nvg>mu
1.2.1 Matrix calculating method ………………………………………………………22 @+1E|4L1vf
1.2.2 Description of optical coating and presentation of calculation results…………..28 9 b]U&A$
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 no?)GQ
1.2.4 Approximate formulas…………………………………………………………...33 +7 F7K h
1.2.5 Other recurrent methods…………………………………………………………34 8< n8joO0
1.2.6 The admittance phase plane……………………………………………………...38 FZ=6x}QZ
1.3 Some common properties of multilayer coatings…………………………………….46 ts;_ T..L
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 'dWJ#9C
multilayer coating ……………………………………………………………….47 .?I!/;=[
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 T]^F%D%
1.3.3 Transmittance and reflectance of the combination of two multilayer <Dm6CH
subsystems ……………………………………………………………………....54 {'DP/]nK
1.4 The multilayer coatings optical properties: impact of variations in the layer NYP3uGH]
parameters……………………………………………………………………………...58 X8S k
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… %- A8 `lf<
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 8~HC0o\2
coefficients: probability assessment method ……………………….…………...63 ,xD{A}}V
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter HAO/r`7*
variations ………………………………………………………………………...66 %4 SREq
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 TdKl`"Iy
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 CP VKz
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 _9z/ >e
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 ~7 `x9MUc
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the l42m81x"
central wavelength ………………………………………………………………80 Cz v lZDo
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 W77JXD93
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 =R>Sxaq
1.6.1 Common expressions for spectral coefficients of filter-type systems near central .qK=lH xT
wavelength ………………………………………………………………………88 xZ@Y`2A':
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 IN%> 46e`
Chapter 2 M%B[>pONb7
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 w:L u
2.1 Synthesis methods based on merit function optimization …………………………...98 "~V}MPt
2.1.1 Merit function selection …………………………………………………………98 /t>o
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2.1.2 Merit function optimization ……………………………………………………101 \Flq8S /t^
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 rM?D7a{q
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 h5f>'l z
2.2.1 Needle-like variations of the refractive index ………………………………….115 @\"*Z&]8z0
2.2.2 The principal idea of the method ………………………………………………119 ^1~/FU
2.2.3 Description of the method ……………………………………………………...124 4|2$b:t
Bibliography …...………………………………………….……………….………..……130
