Radiation properties of microstrip dipoles

Validity domain and limitation of non-retarded Green's tensor for electromagnetic scattering at surfaces

“…The diculties associated with such a numerical integration have been detailed by several authors [11,9]. The traditional integration path is the real axis of the complex spectral plane [12,13]. The imaginary axis can also be used to perform the numerical integration if one uses Hankel functions instead of Bessel functions [14].…”

Complex Resonant Frequencies for the Identification of Simple Objects in Free Space and Lossy Environments

“…It should be noted that the technique will only work when the dielectric constant is sufficiently lossy. After the frequency domain induced current is obtained, the frequency domain scattered field can be calculated by an asymptotic expansion [20]. The determination of the time domain response of the scattered field and complex resonant frequencies is similar to procedures for free space as described above.…”

Accurate Analysis of a Cylindrical Dielectric Resonator Mounted on a Grounded Dielectric Substrate

“…To this end, the expression derived in [29] for a Hertzian dipole excitation parallel to the microstrip substrate is extended and generalized, assuming an arbitrarily oriented elementary dipole as a primary source, with a current density…”