| ka2012 |
2023-11-19 12:22 |
Basics of OPTICS OF MULTILAYER SYSTEMS
Basics of OPTICS OF MULTILAYER SYSTEMS
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Contents 5 >Yd\(`K
Preface……………………………………………………………………….………..……….4 ?I#hrv@
Chapter 1 u ?Mu*r?
SPECTRAL CHARACTERISTICS OF MULTILAYER COATINGS: tN> B$sv
THEORY……………………………………………………………………………………….5 X>8?p'*
1.1 Electromagnetic field in layered media; spectral characteristics of layered media…5 =c^=Yvc7U
1.1.1 Layered medium electromagnetic field equations………………………………...5 IF}c*uGj}
1.1.2 Amplitude transmittance and reflectance of the layered medium……………….12 rss.F3dK
1.1.3 The Fresnel formulas ……………………………………………………………18 $!C+i"q$
1.1.4 Other ways of determining amplitude transmittance and reflectance of the _x1[$A,GuB
layered medium…………………………………………………………………..19 166c\QO
1.1.5 Transmittance, reflectance and absorptance …………………………………….20 bMOM`At>z
1.2 Principal recurrent methods for calculating layered media spectral coefficients…22 QF/u^|f
1.2.1 Matrix calculating method ………………………………………………………22 4@iJ |l
1.2.2 Description of optical coating and presentation of calculation results…………..28 13_ ~)V
1.2.3 Recurrent formulas for the amplitude transmittance and reflectance……………30 ,Ysl$^\
1.2.4 Approximate formulas…………………………………………………………...33 TM}'XZ&
1.2.5 Other recurrent methods…………………………………………………………34 W)msaq,
1.2.6 The admittance phase plane……………………………………………………...38 |abst&yp
1.3 Some common properties of multilayer coatings…………………………………….46 p Q^,. [[
1.3.1 The relation between the characteristic matrix and spectral coefficients of a X+E\]X2
multilayer coating ……………………………………………………………….47 jl-Aos"/
1.3.2 Relations between spectral characteristics for the direct and reverse waves ……51 AKC foJ
1.3.3 Transmittance and reflectance of the combination of two multilayer ka)LK@p6
subsystems ……………………………………………………………………....54 w*xUuwi
1.4 The multilayer coatings optical properties: impact of variations in the layer $<
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parameters……………………………………………………………………………...58 KD"&_PX
1.4.1 Spectral coefficients derivatives with respect to layer parameters …...………… 6SBvn%
1.4.2 Impact of the layer parameter errors on the multilayer coatings spectral j_'rhEd LP
coefficients: probability assessment method ……………………….…………...63 DkF2 R @
1.4.3 Multilayer coating spectral properties: influence of separate layer parameter u ?G\b{$m
variations ………………………………………………………………………...66 VXc+Wm*W
1.5 Multilayer periodic systems. Quarter-wave dielectric mirrors……………………..68 m$E^u[
1.5.1 Characteristic matrix of a periodic multilayer system …………………………..69 Ce5w0&VlS
1.5.2 Quarter-wave mirror properties at the central wavelength ……………………...72 teOBsFy/I
1.5.3 Width of the quarter-wave mirror high-reflectance zones ………………………76 |;.Pj 3)-
1.5.4 Principal properties of a quarter-wave dielectric mirror in the proximity to the Ng'ZAG;O
central wavelength ………………………………………………………………80 B=gsd0^ ]
1.5.5 Dielectric mirrors on a metal substrate ………………………………………….84 1n tkM?
1.6 Approximate formulas for dielectric narrow bandpass filters ……………………..88 Z ]aK'
1.6.1 Common expressions for spectral coefficients of filter-type systems near central ,bVS. A'o
wavelength ………………………………………………………………………88 2l)9Lz=;L
1.6.2 Research of narrow bandpass filters with a half-wave central layer ……………92 $\,BpZ
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Chapter 2 uh5Pn#da^
SYNTHESIS OF MULTILAYER OPTICAL COATINGS ……………………...97 x!C8?K =|
2.1 Synthesis methods based on merit function optimization …………………………...98 5w,Z 7I8
2.1.1 Merit function selection …………………………………………………………98 hEv=T'*,K)
2.1.2 Merit function optimization ……………………………………………………101 xI@$aTGq
2.1.3 General pattern of the synthesis and the problem of the starting design choice .108 b'7z DZI]
2.2 Synthesis method based on the needle-like variations of the refractive index ……114 .:{h{@a
2.2.1 Needle-like variations of the refractive index ………………………………….115 Lj&1K~U
2.2.2 The principal idea of the method ………………………………………………119 >d8x<|D
2.2.3 Description of the method ……………………………………………………...124 4<G?
Bibliography …...………………………………………….……………….………..……130
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