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This paper presents two different schemes for aperture truncation mitigation when computing the far-field of a planar aperture field distribution. The first scheme is ad-hoc while the second is an adaptation of Papoulis' scheme. As an application, these schemes are used to improve the accuracy in computing numerically the values of the scattering coefficients for an infinite-size lossless homogeneous...
This paper presents the results from analyzing Pierrot's LHCPSS with the numerical technique presented in [1]. In contrast to the results presented in [2] from analyzing a similar LHCPSS design with the full-wave EM solver NEC (a MoM technique), this numerical technique does not rely on calibrating the results against the results of a PEC plate of the same transverse dimensions in order to eliminate...
The results of a numerical technique for computing the plane wave scattering coefficients of a general scatterer are presented. The technique is tailored herein to the case where the scatterer is a general slab and the technique is implemented with the FDTD method of the scattered field formulation. Since the technique relies on the use of a Maxwellian beam of dominant polarization as the excitation...
The numerical method presented herein attempts to equate the scatterer under test to a prescribed equivalent scatterer by adjusting some geometrical and/or constitutive parameters of the equivalent scatterer to reproduce the given values of plane-wave scattering coefficients of the scatterer under test as a function of the incidence angle. Hence, the equivalence is based on the assumption that two...
This paper presents a numerical technique to compute the values of the plane-wave scattering coefficients of a general slab from the knowledge of the spatial distributions of the incident and the scattered fields. To validate the technique, results are shown for an infinite-size lossless homogeneous isotropic slab, under dominant TMZ or TEZ polarization, with the scattered field computed by FDTD that...
This paper presents a new method for synthesizing a Maxwellian incident tapered beam with a dominant polarization. The method is based on filtering the spectrum of a non-Maxwellian Gaussian beam that was computed from the paraxial approximation. Results are shown for a prescribed TMz polarization
This paper presents the results of an investigation on whether or not a Gaussian beam of uniform polarization, which is non-Maxwellian but which can be easily and quickly generated analytically, can be used in place of a rigorously Maxwellian tapered beam for computing numerically the plane wave scattering coefficients of a slab. First, the paper presents a general technique for computing numerically...
This paper presents the design of a mounting plate with a complex permittivity profile that minimizes the reflection off the mounting plate over a broad range of incidence angles while providing the mechanical rigidity necessary for mounting a styrofoam jig holding the device under test. The permittivity profile is achieved by boring circular cones from the front and the back surfaces of a lossy dielectric...
This paper presents a new technique for computing the transmission propagation constants for a planar interface between two lossy uniaxial media with possibly different optic axis orientations. The technique differs from the analytical continuation of the lossless case solution when the permittivity becomes complex valued. The technique takes into account explicitly both the non-uniform wave propagation...
It is known that under the assumption that N phasors are statistically independent and stationary (which assumption leads to the Probability Density Function (PDF) for the phase of each phasor to be uniform over an interval of length 2π), the Blanc-Lapierre transformation gives the expression for the PDF of the magnitude of the sum of N phasors as a function of the PDF of the magnitude of each phasor...
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