Exponential approximations of the bessel functions I0,1(x), J0,1(x), Y0(x), and H01,2 (x), with applications to electromagnetic scattering, radiation, and diffraction [EM programmer's notebook]

IEEE Antennas and Propagation Magazine

Volumn 51, Issue 3, 2009, Pages 138-147

  Rothwell, Edward J ^a  

^a Michigan State University   (United States)

Author keywords

Aperture antenna; Bessel functions; Boundary value problems; Debye medium; Electromagnetic radiation; Electromagnetic scattering; Lorentz medium; Numerical analysis

Indexed keywords

APERTURE ANTENNA; DEBYE MEDIUM; ELECTROMAGNETIC RADIATION; ELECTROMAGNETIC SCATTERING; LORENTZ MEDIUM;

ANTENNAS; BESSEL FUNCTIONS; DIFFERENTIAL EQUATIONS; DIFFRACTION; ELECTROMAGNETIC WAVE EMISSION; ELECTROMAGNETIC WAVE SCATTERING; ELECTROMAGNETIC WAVES; ELECTRON OPTICS; HARMONIC ANALYSIS;

ELECTROMAGNETISM;

EID: 70349999414     PISSN: 10459243     EISSN: None     Source Type: Journal    
DOI: 10.1109/MAP.2009.5251217     Document Type: Article

References (10)

1. M. Abramowitz and IS Stegun, Handbook of Mathematical Functions, New York, Dover, 1965.
2. E. Rothwell, "Pulse Reflection from a Generally Dispersive Material - TE Polarization," International Journal of Applied Electromagnetics and Mechanics, 28, 1-2,2008, pp. 111-116.
3. T. K. Sarkar and O. Pereira, "Using the Matrix Pencil Method to Estimate the Parameters of a Sum of Complex Exponentials," IEEE Antennas and Propagation Magazine, 37, 1, February 1995, pp. 48-55.
4. J-H. Lee and H-T. Kim, "Selecting Sampling Interval of Transient Response for the Improved Prony Method," IEEE Transactions on Antennas and Propagation, AP-51, I, January 2003, pp. 74-77.
5. E. Rothwell K. M. Chen, and D. P. Nyquist, "Extraction of the Natural Frequencies of a Radar Target from a Measured Response Using E Pulse Techniques, " IEEE Transactions on Antennas and Propagation, AP-35, 6, June 1987, pp. 715-720.
6. Y. L. Luke, Integrals ofBessel Functions, New York, MeGrawHill, 1962.
7. J. W. Goodman, Introduction to Fourier Optics, New York, McGraw-Hill, 1968.
8. E. J. Rothwell, "Transient Reflection of a Plane Wave from Generally-Dispersive Dielectric Half Space," XXIXth URSI General Assembly, Chicago, IL, August 7-16, 2008.
9. W.L. Stutzman and G. A. Thiele, Antenna Theory and Design, New York, John Wiley & Sons, 1981.
10. C. A. Balanis, Advanced Engineering Electromagnetics, New York, John Wiley & Sons, 1989.