Basics of OPTICS OF MULTILAYER SYSTEMS ksyQ_4^SO
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Contents S>d7q
Preface……………………………………………………………………….………..……….4 [f]:h Ji
Chapter 1 -2Dgr\M
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: &jh17y
THEORY……………………………………………………………………………………….5 /{-J_+u*%
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 hSaw)g`w
1.1.1 Layered medium electromagnetic field equations………………………………...5 U/-|hfh
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 Ba76~-gK$
1.1.3 The Fresnel formulas ……………………………………………………………18 >KJE *X@s
1.1.4 Other ways of determining amplitude transmittance and reflectance of the )IKqO:@
layered medium…………………………………………………………………..19 UGP&&A#T-
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 07> D G#
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 "j=E8Dd}
1.2.1 Matrix calculating method ………………………………………………………22 CT (HTu
1.2.2 Description of optical coating and presentation of calculation results…………..28 |w yua@2
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 w^[:wzF0
1.2.4 Approximate formulas…………………………………………………………...33 sc z8 `%
1.2.5 Other recurrent methods…………………………………………………………34 A%~t[ H
1.2.6 The admittance phase plane……………………………………………………...38 5qkyi]/U8
1.3 Some common properties of multilayer coatings…………………………………….46 *nwH1FjH
1.3.1 The relation between the characteristic matrix and spectral coefficients of a \\Nt^j3qR
multilayer coating ……………………………………………………………….47 ;6 `7
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1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 nQG<OVRClS
1.3.3 Transmittance and reflectance of the combination of two multilayer a@#<qf8g
subsystems ……………………………………………………………………....54 )#,a' ~w
1.4 The multilayer coatings optical properties: impact of variations in the layer f+2mX"Z[F
parameters……………………………………………………………………………...58 ~l*[=0}
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… [o.#$ (
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral Z .N9e
coefficients: probability assessment method ……………………….…………...63 '~x iD?:
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 6df`]s c
variations ………………………………………………………………………...66 n%6=w9.%c
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 n.1$p
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 Iv?1 XI=
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 hPt=j{aJ%<
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 w}
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1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 7Kt i& T
central wavelength ………………………………………………………………80 LftzW{>gI"
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84
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1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 # /)U0 IR)
1.6.1 Common expressions for spectral coefficients of filter-type systems near central B X O,
wavelength ………………………………………………………………………88 ,n$HTWa@0
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 M+7jJ ?n
Chapter 2 u89Q2\z~"M
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 dDl_P yg4K
2.1 Synthesis methods based on merit function optimization …………………………...98 35YDP|XZb
2.1.1 Merit function selection …………………………………………………………98 TIn o"tc3
2.1.2 Merit function optimization ……………………………………………………101 vSk1/
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 v5.KCc}"
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 W&2r{kCsQ
2.2.1 Needle-like variations of the refractive index ………………………………….115 I3 YSW
2.2.2 The principal idea of the method ………………………………………………119 -90X^ ]
2.2.3 Description of the method ……………………………………………………...124 *?o 'sTH
Bibliography …...………………………………………….……………….………..……130
