Truncation effects in a semi-infinite periodic array of thin strips: A discrete Wiener-Hopf formulation

Radio Science

Volumn 44, Issue 2, 2009, Pages

  Capolino, F ^a   Albani, M ^b  

^a University of California at Irvine   (United States)

^b UNIVERSITY OF SIENA   (Italy)

Author keywords

arrays; diffraction; factorization method; gratings; periodic

Indexed keywords

DIFFRACTION GRATINGS; METHOD OF MOMENTS; PERIODIC STRUCTURES;

'CURRENT; ARRAY; FACTORIZATION METHODS; GRATING; INFINITE ARRAYS; PERIODIC; PERIODIC ARRAYS; RIGOROUS SOLUTION; THIN STRIPS; TRUNCATION EFFECTS;

FACTORIZATION;

EID: 85195207455     PISSN: 00486604     EISSN: 1944799X     Source Type: Journal    
DOI: 10.1029/2007RS003821     Document Type: Article

References (23)

1. Born, M., and E. Wolf (1965), Principles of Optics, 3rd ed., Oxford, U. K.
2. Capolino, F., M. Albani, S. Maci, and R. Tiberio (1998), High frequency analysis of an array of line sources on a truncated ground plane, IEEE Trans. Antennas Propag., 46(4), 570–578.
3. Capolino, F., M. Albani, S. Maci, and L. B. Felsen (2000a), Frequency domain Green's function for a planar periodic semi-infinite dipole array. Part I: Truncated Floquet wave formulation, IEEE Trans. Antennas Propag., 48(1), 67–74.
4. Capolino, F., M. Albani, S. Maci, and L. B. Felsen (2000b), Frequency domain Green's function for a planar periodic semi-infinite dipole array. Part II: Phenomenology of diffracted waves, IEEE Trans. Antennas Propag., 48(1), 75–85.
5. Carin, L., and L. Felsen (1993), Time harmonic and transient scattering by finite periodic flat strip arrays: Hybrid (ray)-(Floquet mode)-(MoM) algorithm, IEEE Trans. Antennas Propag., 41(4), 412–421.
6. Çivi, Ö. A., P. H. Pathak, H.-T. Chou, and P. Nepa (2000), A hybrid UTD-MoM for efficient analysis for radiation/scattering from large finite planar arrays, Radio Sci., 35(2), 607–620.
7. Craeye, C., A. G. Tijhuis, and D. H. Schaubert (2004), An efficient mom formulation for finite-by-infinite arrays of two-dimensional antennas arranged in a three-dimensional structure, IEEE Trans. Antennas Propag., 52, 271–282.
8. Fel'd, I. N. (1958), Diffraction of electromagnetic waves on a semi-infinite grating, Radiotekh. Electron., 3, 882–889.
9. Felsen, L., and L. Carin (1994), Frequency and time domain Bragg-modulated acoustics for truncated periodic arrays, J. Acoust. Soc. Am., 95(2), 638–649.
10. Hills, N. L. (1965), Semi-infinite diffraction gratings. II. Inward resonance, Commun. Pure Appl. Math., 18, 389–395.
11. Hills, N. L., and S. N. Karp (1965), Semi-infinite diffraction gratings - I, Commun. Pure Appl. Math., 18, 203–233.
12. Jones, D. S. (1964), The Theory of Electromagnetism, Pergamon, Oxford, U. K.
13. Kildal, P.-S. (1984), Diffraction corrections to the cylindrical wave radiated by a linear array feed of a cylindrical reflector antenna, IEEE Trans. Antennas Propag., 32, 1111–1116.
14. Kobayashi, K. (1990), Wiener-Hopf and modified residue calculus techniques, in Analysis Methods for Electromagnetic Wave Problems, edited by E. Yamashita, chap. 8, Artech House, Boston, Mass.
15. Koughnett, A. L. V. (1970), Mutual coupling effects in linear antenna arrays, Can. J. Phys., 48, 659–674.
16. Kouyoumjian, R. G., and P. H. Pathak (1974), A uniform geometrical theory of diffraction for an edge in a perfectly conducting surface, Proc. IEEE, 62(11), 1448–1461.
17. Linton, C. M., and P. A. Martin (2004), Semi-infinite arrays of isotropic point-scatterers. a unified approach, SIAM J. Appl. Math., 64, 1035–1056.
18. Neto, A., S. Maci, G. Vecchi, and M. Sabbadini (2000a), Truncated Floquet wave diffraction method for the full wave analysis of large phased arrays. Part I: Basic principles and 2D case, IEEE Trans. Antennas Propag., 48(3), 594–600.
19. Neto, A., S. Maci, G. Vecchi, and M. Sabbadini (2000b), Truncated Floquet wave diffraction method for the full wave analysis of large phased arrays. Part II: Generalization to the 3D case, IEEE Trans. Antennas Propag., 48(3), 600–611.
20. Nishimoto, N., and H. Ikuno (1999), Analysis of electromagnetic wave diffraction by a semi-infinite strip grating and evaluation of end-effects, Prog. Electromagn. Res., 23, 39–58.
21. Noble, B. (1958), Methods Based on the Wiener-Hopf Technique, Pergamon, London.
22. Wasylkiwskyj, W. (1973), Mutual coupling effects in semi-infinite arrays, IEEE Trans. Antennas Propag., 21(3), 277–285.
23. Wasylkiwskyj, W., and W. Kahn (1970), Theory of mutual coupling among minimum-scattering antennas, IEEE Trans. Antennas Propag., 18(2), 204–216.