Broadband analytical magnetoquasistatic electromagnetic induction solution for a conducting and permeable spheroid

IEEE Transactions on Geoscience and Remote Sensing

Volumn 42, Issue 11, 2004, Pages 2479-2489

  Barrowes, Benjamin E ^a   O'Neill, Kevin ^b   Grzegorczyk, Tomasz M ^a   Chen, Xudong ^a   Kong, Jin A ^a  

^a Department of Electrical Engineering and Computer Science   (United States)

^b US ARMY ENGINEER RESEARCH AND DEVELOPMENT CENTER   (United States)

Author keywords

Asymptotic expansion; Electromagnetic induction (EMI); Small penetration approximation (SPA); Spheroidal wave functions (SWFs)

Indexed keywords

ELECTROMAGNETIC INDUCTION (EMI); MAGNETOQUASISTATICS; SMALL PENETRATION APPROXIMATION (SPA); SPHEROIDAL WAVE FUNCTIONS (SWF);

APPROXIMATION THEORY; ELECTROMAGNETISM; FINITE ELEMENT METHOD; INTEGRAL EQUATIONS; MAGNETIC FIELDS; MAGNETOSTATICS; NATURAL FREQUENCIES;

BROADBAND NETWORKS;

EID: 9944259069     PISSN: 01962892     EISSN: None     Source Type: Journal    
DOI: 10.1109/TGRS.2004.836814     Document Type: Article

References (33)

1. M. N. Nabighian, "Quasistatic transient response of a conducting permeable sphere in a dipolar field," Geophysics, vol. 35, no. 2, pp. 303-309, Apr. 1970.
2. S. E. Hjelt, "Regional EM studies in the 1980's" Surv. Geophys., vol. 9, no. 3-4, pp. 349-387, Sept.-Dec. 1987.
3. H. A. Haus and J. R. Melcher, Electromagnetic Fields and Energy. Englewood Cliffs, NJ: Prentice-Hall, 1989.
4. I. J. Won, D. A. Keiswetter, and T. H. Bell, "Electromagnetic induction spectroscopy for clearing landmines," IEEE Trans. Geosci. Remote Sensing, vol. 39, pp. 703-709, Apr. 2001.
5. D. A. Keiswetter, W. A. SanFilipo, I. J. Won, J. M. Miller, T. H. Bell, E. R. Cespedes. and K. O'Neill, "Discriminating capabilities of multifrequency EMI data," Proc. SPIE. vol. 4129, pp. 130-140, 2000.
6. N. Geng, P. Garber, L. Collins, L. Carin, D. Hansen, D. Keiswetter, and I. J. Won, "Wideband electromagnetic induction for metal target identification: Theory, measurement, and signal processing," Proc. SPIE, vol. 3392, pp. 42-51, 1998.
7. K. Sun, K. O'Neill, F. Shubitidze, S. A. Haider, and K. D. Paulsen, "Simulation of electromagnetic induction scattering from targets with negligible to moderate penetration by primary fields," IEEE Trans. Geosci. Remote Sensing, vol. 40, pp. 910-927, Apr. 2002.
8. B. Johnson, T. G. Moore, B. J. Blejer, C. F. Lee, T. P. Opar, S. Ayasli. and C. A. Primmerman, "A research and development strategy for unexploded ordnance sensing,", Lincoln Lab. Project Rep., EMP-1, Apr. 1996.
9. P. Wiseman, "30-year-old bombs still very deadly in Laos," USA Today, p. 10A, Dec. 12, 2003.
10. Int. Committ. Red Cross. (2004) Raising awareness of mines and unexploded ordnance (UXO). [Online]. Available: http://www.icrc.org/Web/eng/siteeng0.nsf/htmlall/section_mine_and_uxo_awareness
11. Uxo Projects, T. S. E. Research and D. P. (SERDP). (2004). http://www.serdp.org/research/UXO.html. [Online]
12. J. R. Wait, "A conducting sphere in a time varying magnetic field," Geophysics, vol. 16, pp. 666-672, 1951.
13. _, "A conducting permeable sphere in the presence of a coil carrying an oscillating current," Can. J. Phys., vol. 31, pp. 670-678, 1953.
14. C. O. Ao, H. Braunisch, K. O'Neill, and J. A. Kong, "Quasimagnetostatic solution for a conducting and permeable spheroid with arbitrary excitation," IEEE Trans. Geosci. Remote Sensing, vol. 40, pp. 887-897, Apr. 2002.
15. H. Braunisch, C. O. Ao, K. O'Neill. and J. A. Kong, "Magnetoquasistatic response of conducting and permeable spheroid under axial excitation," IEEE Trans. Geosci. Remote Sensing, vol. 39, pp. 2689-2701, Dec. 2001.
16. B. E. Barrowes, K. O'Neill, T. M. Grzegorczyk, and J. A. Kong, "Asymptotic expansions of the prolate angular spheroidal wave function for complex size parameter," Stud. Appl. Math., Oct. 2003, submitted for publication.
17. C. E. Baum, Ed., Detection and Identification of Visually Obscured Targets. Philadelphia, PA: Taylor & Francis, 1999.
18. C. D. Moss, K. O'Neill, T. M. Grzegorczyk, and J. A. Kong, "A hybrid time domain model of electromagnetic induction from conducting, permeable targets," IEEE Trans. Geosci. Remote Sensing, 2004, submitted for publication.
19. I. J. Won, D. A. Keiswetter, D. Hansen, E. Novikova, and T. M. Hall, "Gem-3: A monostatic broadband electromagnetic induction sensor," J. Environ. Eng. Geophys., vol. 2, no. 1, pp. 53-64, 1997.
20. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, 9th ed. New York: Dover. 1970.
21. C. Hammer, Spheroidal Wave Functions. Stanford. CA: Stanford Univ. Press, 1957.
22. C. Hunter and B. Guerrieri, "The eigenvalues of the angular spheroidal wave-equation," Stud. Appl. Math., vol. 66, no. 3, pp. 217-240, 1982.
23. T. Do-Nhat, "Asymptotic expansion of the Mathieu and prolate spheroidal eigenvalues for large parameter c," Can. J. Phys., vol. 77, no. 8, pp. 635-652, Aug 1999.
24. _, "Asymptotic expansions of the oblate spheroidal eigenvalues and wave functions for large parameter c," Can. J. Phys., vol. 79, no. 5, pp. 813-831, May 2001.
25. A. Erdélyi, Ed., Higher Transcendental Functions, ser. Bateman Manuscript Project. New York: McGraw-Hill, 1953.
26. J. W. Miles, "Asymptotic approximations for prolate spheroidal wave functions," Stud. Appl. Math., vol. 54, no. 4, pp. 315-349, Dec. 1975.
27. K. Sun, K. O'Neill, I. Shamatava, and F. Shubitidze, "Application of prolate spheroid solutions in simulation of EMI scattering with realistic sensors and objects," in Proc. ACES Conf., Mar. 2003, pp. 531-537.
28. L. Tsang, J. A. Kong, and K. H. Ding, Scattering of Electromagnetic Waves: Theories and Applications. New York: Wiley, 2000.
29. J. A. Stratton. Electromagnetic Theory. New York: McGraw-Hill, 1941.
30. R. Harrington, Time-Harmonic Electromagnetic Fields. New York: McGraw-Hill, 1961.
31. F. Shubitidze, K. O'Neill, S. A. Haider, K. Sun, and K. D. Paulsen, "Application of the method of auxiliary sources to the wide-band electromagnetic induction problem," IEEE Trans. Geosci. Remote Sensing, vol. 40, pp. 928-942, Apr. 2002.
32. K. Sun, K. O'Neill, F. Shubitidze, I. Shamatava, and K. Paulsen, "Theoretical analysis of TSA formulation and its domain of validity," IEEE Trans. Geosci. Remote Sensing, pp. 1871-1881, Sept. 2004.
33. Geophex, private communication, Dec. 2003.