Basics of OPTICS OF MULTILAYER SYSTEMS !FA[
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Contents >S}^0vNZX
Preface……………………………………………………………………….………..……….4 IoKN.#;^
Chapter 1 Q'~3Ik
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: *N65B#
THEORY……………………………………………………………………………………….5 / <
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1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 as ^!c!
1.1.1 Layered medium electromagnetic field equations………………………………...5 89Ch'D
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 \%/Y(YVm
1.1.3 The Fresnel formulas ……………………………………………………………18 5}Z_A ?gy
1.1.4 Other ways of determining amplitude transmittance and reflectance of the [cso$Tv
layered medium…………………………………………………………………..19 X+KQ%Efo
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 q=x1:^rVH
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 2A&Y })D
1.2.1 Matrix calculating method ………………………………………………………22 #Y<QEGb(
1.2.2 Description of optical coating and presentation of calculation results…………..28 p >h&SD?b
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 lv p8{]I <
1.2.4 Approximate formulas…………………………………………………………...33 ;&9wG`
1.2.5 Other recurrent methods…………………………………………………………34 "3 0R%oL]=
1.2.6 The admittance phase plane……………………………………………………...38 ~O 8X j6
1.3 Some common properties of multilayer coatings…………………………………….46 0#: St
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 3[Z7bhpV
multilayer coating ……………………………………………………………….47 L %20tm
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 Y^ 2]*e%
1.3.3 Transmittance and reflectance of the combination of two multilayer 8i~n;AhDs
subsystems ……………………………………………………………………....54 Y]neTX [ef
1.4 The multilayer coatings optical properties: impact of variations in the layer 7El :$H
parameters……………………………………………………………………………...58 q?$<{Z"
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… _>u0vGF-
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral \1nj =ca?
coefficients: probability assessment method ……………………….…………...63 @+&QNI06S
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter kWZ /O
variations ………………………………………………………………………...66 rUDMQxLruV
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 |5g1D^b]s^
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 Oi4y~C_Xd
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 ^oXLk&d
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 PzH#tG&.j
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the wS;hC&~2
central wavelength ………………………………………………………………80 ><w=
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 k.6(Q_TS
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 dkAY%z two
1.6.1 Common expressions for spectral coefficients of filter-type systems near central cr>"LAi
wavelength ………………………………………………………………………88 O
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1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 #,;X2% c
Chapter 2 h
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SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 &BE'~G
2.1 Synthesis methods based on merit function optimization …………………………...98 js F96X{
2.1.1 Merit function selection …………………………………………………………98 ^"{txd?6
2.1.2 Merit function optimization ……………………………………………………101
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2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 E -i <^&E
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 |m>{< :
2.2.1 Needle-like variations of the refractive index ………………………………….115 l~'NqmXe
2.2.2 The principal idea of the method ………………………………………………119 ~9JLqN"
2.2.3 Description of the method ……………………………………………………...124 [` U9
Bibliography …...………………………………………….……………….………..……130
