Title :
The analysis of large order bessel functions in gravitational wave signals from pulsars
Author :
Chishtie, F.A. ; Valluri, S.R. ; Rao, K.M. ; Sikorski, D. ; Williams, T.
Author_Institution :
Dept. of Appl. Math., Univ. of Western Ontario, London, Ont., Canada
Abstract :
In this work, we present the analytic treatment of the large order Bessel functions that arise in the Fourier transform. (FT) of the gravitational wave (GW) signal from a pulsar. We outline several strategies, which employs asymptotic expansions in evaluation of such Bessel functions, which also happen to have large argument. Large order Bessel functions also arise in the Peters-Mathews model of binary inspiralling stars emitting GW and several problems in potential scattering theory. Other applications also arise in a variety of problems in applied mathematics as well as in the natural sciences and present a challenge for high performance computing (HPC).
Keywords :
Bessel functions; Fourier transforms; gravitational waves; pulsars; Fourier transform; Peters-Mathews model; applied mathematics; asymptotic expansion; binary inspiralling stars; gravitational wave signal; high performance computing; large order Bessel function; natural science; potential scattering theory; pulsars; Astronomy; Concurrent computing; Electromagnetic scattering; Fourier transforms; High performance computing; Laser theory; Mathematics; Particle scattering; Physics; Signal analysis;
Conference_Titel :
High Performance Computing Systems and Applications, 2005. HPCS 2005. 19th International Symposium on
Print_ISBN :
0-7695-2343-9
DOI :
10.1109/HPCS.2005.52