The canonical inverse source problem of reconstructing an unknown source whose region of support is describable as a spheroidal (oblate or prolate) volume from knowledge of the far-field radiation pattern it generates is formulated and solved within the framework of the inhomogeneous scalar Helmholtz equation via a linear inversion framework in Hilbert spaces. Particular attention is paid to the analysis and computer illustration of flat, aperture-like sources whose support is approximated by an oblate spheroidal volume.
- inverse source problem
- minimum energy source
- nonradiating source
- spheroidal wave
Stén, J. C-E., & Marengo, E. A. (2006). Inverse source problem in an oblate spheroidal geometry. IEEE Transactions on Antennas and Propagation, 54(11, Part 2), 3418-3428. https://doi.org/10.1109/TAP.2006.884292