Singular value decomposition of the radiation operator - Application to model-order and far-field reduction

IEEE Transactions on Antennas and Propagation

Volumn 56, Issue 6, 2008, Pages 1605-1615

  Stupfel, Bruno ^a   Morel, Yoann ^b  

^a DIF   (France)

^b Collège of Andernos ^*  (France)

Author keywords

Impedance boundary condition; Integral equation; Model order reduction (MOR); Radar cross section (RCS); Radiation operator; Singular value decomposition (SVD)

Indexed keywords

ELECTROACUPUNCTURE; INTEGRAL EQUATIONS; MAGNETIC MATERIALS; MAPS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; RADIATION; SET THEORY; SURFACES; TWO DIMENSIONAL;

(1 1 0) SURFACE; (U ,V) OPERATOR; APPLIED (CO); DEGREES OF FREEDOM; FAR FIELDS; MAGNETIC CURRENTS; MAGNETIC SURFACES; NUMERICAL COMPLEXITY; NUMERICAL EXAMPLES; ORTHONORMAL BASIS (ONB); SINGULAR VALUES; SINGULAR-VALUE-DECOMPOSITION (SVD); TIME HARMONICS;

SINGULAR VALUE DECOMPOSITION;

EID: 45549090873     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2008.923311     Document Type: Article

References (21)

1. F. X. Canning and K. Rogovin, "A universal matrix solver for integral equation based problems," IEEE Antennas Propag. Mag., vol. 45, no. 1, pp. 19-26, 2003.
2. R. F. Harrington and J. R. Mautz, "Thbeory of characteristic modes for conducting bodies," IEEE Trans. Antennas Propag., vol. AP-19, no. 5, pp. 629-639, 1971.
3. D. Bouche, Y. Morel, S. Morvan, and O. Vacus, Courants caractéristiques et analyse de SER. Mécanique: C.R. Acad. Sci., 2004, vol. 332.
4. Y. Morel, "Mathématiques Appliquées," Thèse de Doctorat, Ecole Normale Supérieure de Cachan, Cachan, France, 2005.
5. V. V. S. Prakash and R. Mittra, "Characteristic basis function method: A new technique for efficient solution of MoM matrix equations," Microw. Opt. Technol. Lett., vol. 36, no. 2, pp. 95-100, 2003.
6. R. Mittra, S. Li, and J. F. Ma, "Solving large body of revolution (BOR) problems using the characteristic basis function method and the FFT-based matrix generation," in Proc. IEEE Antennas Propagation Soc. Int. Symp., Albuquerque, NM, Jul. 9-14, 2006, pp. 3879-3982.
7. V. A. Lazza, L. Matekovits, and G. Vecchi, "Synthetic-functions decomposition of large complex structures," in Proc. IEEE Antennas Propagation Soc. Int. Symp., Albuquerque, NM, Jul. 9-14, 2006, pp. 3925-3928.
8. O. M. Bucci and G. Franceschetti, "On the spatial bandwidth of scattered fields," IEEE Trans. Antennas Propag., vol. AP-35, pp. 1445-1455, 1987.
9. O. M. Bucci and G. Franceschetti, "On the degrees of freedom of scattered fields," IEEE Trans. Antennas Propag., vol. AP-37, pp. 918-926, 1989.
10. D. Colton and R. Kress, Inverse Acoustic and Electromagnetic Scattering Theory. Berlin, Germany: Springer-Verlag, 1992.
11. A. N. Kolmogorov and S. V. Formin, Elements of the Theory of Functions and Functional Analysis. New York: Dover Publications, 1961, vol. 2.
12. G. Grubb, Functional Calculus of Pseudo-Differential Boundary Problems. Basel, Switzerland: Birklhäuser, 1986.
13. G. C. Hsiao and R. E. Kleinman, "Mathematical foundations for error estimation in numerical solutions of integral equations in electromagnetics," IEEE Trans. Antennas Propag., vol. 45, pp. 316-328, 1997.
14. B. Stupfel and Y. Pion, "Impedance boundary conditions for finite planar and curved frequency selective surfaces," IEEE Trans. Antennas Propag., vol. 53, pp. 1415-1425, 2005.
15. B. Stupfel, "Impedance boundary conditions for finite planar and curved frequency selective surfaces embedded in dielectric layers," IEEE Trans. Antennas Propag., vol. 53, pp. 3654-3663, 2005.
16. S. M. Rao, D. R. Wilton, and A. W. Glisson, "Electromagnetic scattering by surfaces of arbitrary shape," IEEE Trans. Antennas Propag., vol. AP-30, pp. 409-418, 1982.
17. B. Stupfel and S. Vermersch, "Plane-wave synthesis by an antenna-array and RCS determination: Tbeoretical approach and numerical simulations," IEEE Trans. Antennas Propag., vol. 52, pp. 3086-3095, 2004.
18. P.M. Morse and H. Feshbach, Methods of Theoretical Physics. New York: McGraw-Hill, 1953, vol. 2, p. 1362.
19. C. Cohen-Tanoudji, B. Diu, and F. Laloë, Mecanique quantique. Paris, France: Hermann, 1973, vol. 2, p. 1458.
20. A. Erdélyi, Asymptotic Expansions. New York: Dover Publications, 1956.
21. R. Coifman, V. Rokhlin, and S. Wandzura, "The fast multipole method for the wave equation: A pedestrian prescription," IEEE Antennas Propag. Mag., vol. 35, no. 3, pp. 7-12, 1993.