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Analytical expressions for the deprojected Sérsic model

Maarten Baes UGent and Gianfranco Gentile (2011) ASTRONOMY & ASTROPHYSICS. 525.
abstract
The Sersic model has become the standard for parametrizing the surface brightness distribution of early-type galaxies and bulges of spiral galaxies. A major problem is that the deprojection of the Sersic surface brightness profile to a luminosity density cannot be executed analytically for general values of the Sersic index. We use Mellin integral transforms to derive an analytical expressions for the luminosity density in terms of the Fox H function for all values of the Sersic index. We derive simplified expressions for the luminosity density, cumulative luminosity, and gravitational potential in terms of the Meijer G function for all rational values of the Sersic index, and we investigate their asymptotic behaviour at small and large radii. As implementations of the Meijer G function are currently available both in symbolic computer algebra packages and as high-performance computing code, our results open up the possibility to calculate the density of the Sersic models to arbitrary precision.
Please use this url to cite or link to this publication:
author
organization
alternative title
Analytical expressions for the deprojected Sersic model
year
type
journalArticle (original)
publication status
published
subject
keyword
methods: analytical, galaxies: photometry, MULTI-GAUSSIAN EXPANSION, EARLY-TYPE GALAXIES, SURFACE BRIGHTNESS GALAXIES, UNIVERSAL DENSITY PROFILE, DARK-MATTER HALOES, STELLAR-SYSTEMS, ELLIPTIC GALAXIES, LUMINOSITY LAW, STRUCTURAL PARAMETERS, KINEMATICAL MODELS
journal title
ASTRONOMY & ASTROPHYSICS
Astron. Astrophys.
volume
525
article number
A136
pages
7 pages
Web of Science type
Article
Web of Science id
000285193700153
JCR category
ASTRONOMY & ASTROPHYSICS
JCR impact factor
4.587 (2011)
JCR rank
10/56 (2011)
JCR quartile
1 (2011)
ISSN
0004-6361
DOI
10.1051/0004-6361/201015716
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
1241064
handle
http://hdl.handle.net/1854/LU-1241064
date created
2011-05-25 13:05:49
date last changed
2017-03-01 09:50:06
@article{1241064,
  abstract     = {The Sersic model has become the standard for parametrizing the surface brightness distribution of early-type galaxies and bulges of spiral galaxies. A major problem is that the deprojection of the Sersic surface brightness profile to a luminosity density cannot be executed analytically for general values of the Sersic index. We use Mellin integral transforms to derive an analytical expressions for the luminosity density in terms of the Fox H function for all values of the Sersic index. We derive simplified expressions for the luminosity density, cumulative luminosity, and gravitational potential in terms of the Meijer G function for all rational values of the Sersic index, and we investigate their asymptotic behaviour at small and large radii. As implementations of the Meijer G function are currently available both in symbolic computer algebra packages and as high-performance computing code, our results open up the possibility to calculate the density of the Sersic models to arbitrary precision.},
  articleno    = {A136},
  author       = {Baes, Maarten and Gentile, Gianfranco},
  issn         = {0004-6361},
  journal      = {ASTRONOMY \& ASTROPHYSICS},
  keyword      = {methods: analytical,galaxies: photometry,MULTI-GAUSSIAN EXPANSION,EARLY-TYPE GALAXIES,SURFACE BRIGHTNESS GALAXIES,UNIVERSAL DENSITY PROFILE,DARK-MATTER HALOES,STELLAR-SYSTEMS,ELLIPTIC GALAXIES,LUMINOSITY LAW,STRUCTURAL PARAMETERS,KINEMATICAL MODELS},
  language     = {eng},
  pages        = {7},
  title        = {Analytical expressions for the deprojected S{\'e}rsic model},
  url          = {http://dx.doi.org/10.1051/0004-6361/201015716},
  volume       = {525},
  year         = {2011},
}

Chicago
Baes, Maarten, and Gianfranco Gentile. 2011. “Analytical Expressions for the Deprojected Sérsic Model.” Astronomy & Astrophysics 525.
APA
Baes, M., & Gentile, G. (2011). Analytical expressions for the deprojected Sérsic model. ASTRONOMY & ASTROPHYSICS, 525.
Vancouver
1.
Baes M, Gentile G. Analytical expressions for the deprojected Sérsic model. ASTRONOMY & ASTROPHYSICS. 2011;525.
MLA
Baes, Maarten, and Gianfranco Gentile. “Analytical Expressions for the Deprojected Sérsic Model.” ASTRONOMY & ASTROPHYSICS 525 (2011): n. pag. Print.