| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS Gn22<C/
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Contents `^91%f
Preface……………………………………………………………………….………..……….4 `0rd26Qro
Chapter 1 Okgv!Nt8)A
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: cO-7ke
THEORY……………………………………………………………………………………….5 R7]l{2V#^
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 yxonRV$&
1.1.1 Layered medium electromagnetic field equations………………………………...5 E^Y#&skXp3
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 ,c$,!. r
1.1.3 The Fresnel formulas ……………………………………………………………18 *EI6dD"
1.1.4 Other ways of determining amplitude transmittance and reflectance of the VJ84?b{c
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layered medium…………………………………………………………………..19 h-g+g#*
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 < 3(LWxw
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 + _7*iJtD5
1.2.1 Matrix calculating method ………………………………………………………22 "lQ*1.i
1.2.2 Description of optical coating and presentation of calculation results…………..28 |o,YCzy|5
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 tWo{7) Eb
1.2.4 Approximate formulas…………………………………………………………...33 -)s qc
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1.2.5 Other recurrent methods…………………………………………………………34 Pnw]Tm}g
1.2.6 The admittance phase plane……………………………………………………...38 PEN \-*Pv
1.3 Some common properties of multilayer coatings…………………………………….46 /TE _W@?^
1.3.1 The relation between the characteristic matrix and spectral coefficients of a }L
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multilayer coating ……………………………………………………………….47 zFfoqb#*g
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 <Dpe voF
1.3.3 Transmittance and reflectance of the combination of two multilayer 1h(0IjG8
subsystems ……………………………………………………………………....54 ?=>+LqP
1.4 The multilayer coatings optical properties: impact of variations in the layer }{M#EP8q+
parameters……………………………………………………………………………...58 fz;iOjr>
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… :#2Bw]z&z
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral -\+s#kE:
coefficients: probability assessment method ……………………….…………...63 CF&NFSti^
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter ,/[6e\0~
variations ………………………………………………………………………...66 h "lX 4
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 ADZ };:]
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 Ok{*fa.PK
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 t zZ63@cm
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 m[ i+knYX
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the 2<l i7c59
central wavelength ………………………………………………………………80 z+
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1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 Ku WWUjCE
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 4f@o m AM
1.6.1 Common expressions for spectral coefficients of filter-type systems near central -8'C\R|J+
wavelength ………………………………………………………………………88 Y_}mYvJW
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 f6 |KN+.
Chapter 2 s~X+*@.
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 d#6`&MR
2.1 Synthesis methods based on merit function optimization …………………………...98 FE" y\2}
2.1.1 Merit function selection …………………………………………………………98 j0Bu-sO$w
2.1.2 Merit function optimization ……………………………………………………101 `J]fcE%T0R
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 #u2J;9P
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 &l R 6sb\
2.2.1 Needle-like variations of the refractive index ………………………………….115 L93l0eEt
2.2.2 The principal idea of the method ………………………………………………119 =,%CLS,6w
2.2.3 Description of the method ……………………………………………………...124 C?ulj9=Z
Bibliography …...………………………………………….……………….………..……130
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