Alex J. Yuffa
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View article: On Grid Compressive Sampling for Spherical Field Measurements in Acoustics
On Grid Compressive Sampling for Spherical Field Measurements in Acoustics Open
We derive a compressive sampling method for acoustic field reconstruction using field measurements on a predefined spherical grid that has theoretically guaranteed relations between signal sparsity, measurement number, and reconstruction a…
View article: Compressive Sensing with Wigner $D$-functions on Subsets of the Sphere
Compressive Sensing with Wigner $D$-functions on Subsets of the Sphere Open
In this paper, we prove a compressive sensing guarantee for restricted measurement domains on the rotation group, $\mathrm{SO}(3)$. We do so by first defining Slepian functions on a measurement sub-domain $R$ of the rotation group $\mathrm…
View article: Vectorizing Green’s identities
Vectorizing Green’s identities Open
Green’s theorem and Green’s identities are well-known and their uses span almost every branch of science and mathematics. In this paper, we derive a vector analogue of Green’s three scalar identities and consider some of their uses. We als…
View article: Field-only surface integral equations: scattering from a dielectric body
Field-only surface integral equations: scattering from a dielectric body Open
An efficient field-only nonsingular surface integral method to solve Maxwell’s equations for the components of the electric field on the surface of a dielectric scatterer is introduced. In this method, both the vector wave equation and the…
View article: Field-only surface integral equations: scattering from a perfect electric conductor
Field-only surface integral equations: scattering from a perfect electric conductor Open
A field-only boundary integral formulation of electromagnetics is derived without the use of surface currents that appear in the Stratton–Chu formulation. For scattering by a perfect electrical conductor (PEC), the components of the electr…
View article: Efficient Field-Only Surface Integral Equations for Electromagnetics
Efficient Field-Only Surface Integral Equations for Electromagnetics Open
In a recent paper, Klaseboer et al. (IEEE Trans. Antennas Propag., vol. 65, no. 2, pp. 972-977, Feb. 2017) developed a surface integral formulation of electromagnetics that does not require working with integral equations that have singula…