| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS W{gb:^;zb
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Contents k)Qtfj}uij
Preface……………………………………………………………………….………..……….4 E+w<RNBmz
Chapter 1 ]P?vdgEM&
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: xK\d4 "
THEORY……………………………………………………………………………………….5 \} :PLCKT
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 /~f'}]W
1.1.1 Layered medium electromagnetic field equations………………………………...5 6f*CvW
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 N' `A?&2ru
1.1.3 The Fresnel formulas ……………………………………………………………18 3;s\OW`
1.1.4 Other ways of determining amplitude transmittance and reflectance of the Hg$lXtn]
layered medium…………………………………………………………………..19 sp*v?5lW
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 5N&?KA-
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 ~La>?:g <+
1.2.1 Matrix calculating method ………………………………………………………22 "!%l/_p?
1.2.2 Description of optical coating and presentation of calculation results…………..28 C-[eaHJ'$
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 'y3!fN =h
1.2.4 Approximate formulas…………………………………………………………...33 MFAH%Z$
1.2.5 Other recurrent methods…………………………………………………………34 ';=O 0)u
1.2.6 The admittance phase plane……………………………………………………...38 <<R*2b
1.3 Some common properties of multilayer coatings…………………………………….46 r|Tcfk]%
1.3.1 The relation between the characteristic matrix and spectral coefficients of a KNIn:K^/
multilayer coating ……………………………………………………………….47 Da&]y
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 }d}Ke_Q0
1.3.3 Transmittance and reflectance of the combination of two multilayer 5S--'=fu+
subsystems ……………………………………………………………………....54 ?oHpFlj
1.4 The multilayer coatings optical properties: impact of variations in the layer b?QoS|<e?
parameters……………………………………………………………………………...58 lv+TD!b
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… |2n4QBH!
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral @7j AL -
coefficients: probability assessment method ……………………….…………...63 "u^H# L>-q
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter 6MMOf\
variations ………………………………………………………………………...66 <T|3`#o0
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 Vt&2z)Zz
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 =mp;.k95
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 pohp&Tcm
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 | Uh
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the aH/
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central wavelength ………………………………………………………………80 o]M 5b;1
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 <s<n
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 _C[q4?
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ! \.pq 2
wavelength ………………………………………………………………………88 ")XHak.JX
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 0*D$R `$
Chapter 2 CD ( :jM?
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 65 $+{s
2.1 Synthesis methods based on merit function optimization …………………………...98 Doyx[zZ
2.1.1 Merit function selection …………………………………………………………98 "8jf81V*
2.1.2 Merit function optimization ……………………………………………………101 8(&[Rs?K
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 \B,@ `dw
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 {d Msz
2.2.1 Needle-like variations of the refractive index ………………………………….115 9c,'k#k
2.2.2 The principal idea of the method ………………………………………………119 MH9q ;?.J
2.2.3 Description of the method ……………………………………………………...124 JL}_72gs
Bibliography …...………………………………………….……………….………..……130
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