Title :
Series form of space domain Green´s functions on the free space of microstrip antennas
Author :
Marchetti, S. ; Citerne, J.
Author_Institution :
Lab. Composants et Syst. pour Telecommun., Inst. Nat. des Sci. Appliques, Rennes, France
Abstract :
A new procedure is shown that recovers a closed series form in the free space for the Green´s functions pertaining to microstrip structures. The Sommerfeld integrals formulating the vector and scalar Green´s functions relative to a single-layered medium are evaluated on cylindrical surfaces in the free space. In particular, on the cylinder of zero radius, that is the vertical line passing from the horizontal electric dipole source, the Green´s functions are the sum of a Hankel function and a series of Legendre polynomials.<>
Keywords :
Green´s function methods; Hankel transforms; Legendre polynomials; antenna theory; integral equations; microstrip antennas; polynomials; series (mathematics); Hankel function; Legendre polynomials; Sommerfeld integrals; closed series form; cylinder of zero radius; cylindrical surfaces; free space; horizontal electric dipole source; microstrip antennas; single-layered medium; space domain Green´s functions; Computational geometry; Dielectrics; Frequency; Green´s function methods; H infinity control; Integral equations; Microstrip antennas; Moment methods; Permittivity; Polynomials;
Conference_Titel :
Antennas and Propagation Society International Symposium, 1994. AP-S. Digest
Conference_Location :
Seattle, WA, USA
Print_ISBN :
0-7803-2009-3
DOI :
10.1109/APS.1994.407785