On a numerical minimization problem for a new class of nonlinear partial differential equations arising in nonspherical geometrical optics and beamforming lenticular antennas (Q1064763)

From authors' summary: A mixed numerical and analytical procedure for solving the problem of determining the surfaces \({\mathcal S}\) and \({\mathcal S}'\) of a three-dimensional, aperture or volume extremized and ellipticized, bifocal, nonspherical, singlet optical, radar or sonar lens antenna defined by a system of four nonlinear partial differential equations with specified symmetry and boundary conditions subject to a minimizing side condition on the antenna focal length, or \(f\)-number, is presented.