Basics of OPTICS OF MULTILAYER SYSTEMS K($+ILZ
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Contents KMb'm+
Preface……………………………………………………………………….………..……….4 zBTxM
Chapter 1 h){ #dU+&
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: MTE 1\,
THEORY……………………………………………………………………………………….5 GfP'
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 | uFb(kL[U
1.1.1 Layered medium electromagnetic field equations………………………………...5 ?T%"Jgy8
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 F\ ;l)
1.1.3 The Fresnel formulas ……………………………………………………………18 |,n(9Ix
1.1.4 Other ways of determining amplitude transmittance and reflectance of the f9_Pn'"I
layered medium…………………………………………………………………..19 Bf^K?:r"V
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 s]=XAm"4
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 j4@6`[n:
1.2.1 Matrix calculating method ………………………………………………………22 ||cI~qg
1.2.2 Description of optical coating and presentation of calculation results…………..28 c3fi<?0&|
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 G^ <m0ew|
1.2.4 Approximate formulas…………………………………………………………...33 m>[G-~0?kI
1.2.5 Other recurrent methods…………………………………………………………34 $@{ d\@U
1.2.6 The admittance phase plane……………………………………………………...38 B[w. 8e5
1.3 Some common properties of multilayer coatings…………………………………….46 UZ iL NKc
1.3.1 The relation between the characteristic matrix and spectral coefficients of a 1M_6X7PH
multilayer coating ……………………………………………………………….47 It 3@
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1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 e5FF'~A%]
1.3.3 Transmittance and reflectance of the combination of two multilayer B B1_EdoG
subsystems ……………………………………………………………………....54 }|=Fnyj
1.4 The multilayer coatings optical properties: impact of variations in the layer &kWT<*;J)
parameters……………………………………………………………………………...58 NV} fcZ
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… a&mL Dh/
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral 9 XS>;<"2
coefficients: probability assessment method ……………………….…………...63 o4rf[.z
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter `7`` 1TL
variations ………………………………………………………………………...66 l'!_km0{d
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 bS|h~B]rd
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69
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1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 E'+z.~+
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 4|j Pr J
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the :[_k .1-+
central wavelength ………………………………………………………………80 n ]l3
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1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 Y.52`s6F
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 n*AN/LBp
1.6.1 Common expressions for spectral coefficients of filter-type systems near central HsG3s? *
wavelength ………………………………………………………………………88 ) TN G0[
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 b\NY! )B
Chapter 2 n%vmo
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SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 >"zN`
2.1 Synthesis methods based on merit function optimization …………………………...98 Xe
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2.1.1 Merit function selection …………………………………………………………98 GIkVU6Q}
2.1.2 Merit function optimization ……………………………………………………101 nGJ+.z
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 |D;I>O^"R
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 FV OPC:}bj
2.2.1 Needle-like variations of the refractive index ………………………………….115 _lH:%E*
2.2.2 The principal idea of the method ………………………………………………119 7/=r -
2.2.3 Description of the method ……………………………………………………...124 UY\E uA9
Bibliography …...………………………………………….……………….………..……130
