About: Solving a deconvolution problem in photon spectrometry

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We solve numerically a deconvolution problem to extract the undisturbed spectrum from the measured distribution contaminated by the finite resolution of the measuring device. A problem of this kind emerges when one wants to infer the momentum distribution of the neutral pions by detecting the it decay photons using the photon spectrometer of the ALICE LHC experiment at CERN [1]. The underlying integral equation connecting the sought for pion spectrum and the measured gamma spectrum has been discretized and subsequently reduced to a system of linear algebraic equations. The latter system, however, is known to be ill-posed and must be regularized to obtain a stable solution. This task has been accomplished here by means of the Tikhonov regularization scheme combined with the L-curve method. The resulting pion spectrum is in an excellent quantitative agreement with the pion spectrum obtained from a Monte Carlo simulation. We solve numerically a deconvolution problem to extract the undisturbed spectrum from the measured distribution contaminated by the finite resolution of the measuring device. A problem of this kind emerges when one wants to infer the momentum distribution of the neutral pions by detecting the it decay photons using the photon spectrometer of the ALICE LHC experiment at CERN [1]. The underlying integral equation connecting the sought for pion spectrum and the measured gamma spectrum has been discretized and subsequently reduced to a system of linear algebraic equations. The latter system, however, is known to be ill-posed and must be regularized to obtain a stable solution. This task has been accomplished here by means of the Tikhonov regularization scheme combined with the L-curve method. The resulting pion spectrum is in an excellent quantitative agreement with the pion spectrum obtained from a Monte Carlo simulation. (en)
Title	Solving a deconvolution problem in photon spectrometry Solving a deconvolution problem in photon spectrometry (en)
skos:prefLabel	Solving a deconvolution problem in photon spectrometry Solving a deconvolution problem in photon spectrometry (en)
skos:notation	RIV/68378271:_____/10:00438368!RIV15-AV0-68378271
http://linked.open...avai/riv/aktivita	Z
http://linked.open...avai/riv/aktivity	Z(AV0Z10100502)
http://linked.open...iv/cisloPeriodika	2-3
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Polák, Karel Mareš, Jiří A.
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Fyzikální ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	288556
http://linked.open...ai/riv/idVysledku	RIV/68378271:_____/10:00438368
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	deconvolution; ALICE experiment; photon spectrometer; Tikhonov regularization (en)
http://linked.open.../riv/klicoveSlovo	deconvolution Tikhonov regularization ALICE experiment photon spectrometer
http://linked.open...odStatuVydavatele	NL - Nizozemsko
http://linked.open...ontrolniKodProRIV	[9E0B92B0DA40]
http://linked.open...i/riv/nazevZdroje	Nuclear Instruments & Methods in Physics Research Section A
http://linked.open...in/vavai/riv/obor	BM
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	92 (xsd:int)
http://linked.open...UplatneniVysledku	2010
http://linked.open...v/svazekPeriodika	620
http://linked.open...iv/tvurceVysledku	Mareš, Jiří A. Polák, Karel Aleksandrov, D. Alme, J. Basmanov, V.
http://linked.open...ain/vavai/riv/wos	000280601700053
http://linked.open...n/vavai/riv/zamer	Jevy fyziky elementárních částic přesahující standardní model
issn	0168-9002
number of pages	8 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.nima.2010.03.148

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