36 citations · 112 across the 13 of their papers we have counts for
3 papers · 1 filter
Weak and Strong Solutions to the Inverse-Square Brachistochrone Problem on Circular and Annular Domains
Christopher Grimm, John A. Gemmer
In this paper we study the brachistochrone problem in an inverse-square gravitational field on the unit disk. We show that the time optimal solutions consist of either smooth stron…
Optical beam shaping and diffraction free waves: a variational approach
John A. Gemmer, Shankar C. Venkataramani, Charles G. Durfee +1
We investigate the problem of shaping radially symmetric annular beams into desired intensity patterns along the optical axis. Within the Fresnel approximation, we show that this p…
Defects and boundary layers in non-Euclidean plates
John Gemmer, Shankar Venkataramani
We investigate the behavior of non-Euclidean plates with constant negative Gaussian curvature using the Föppl-von Kármán reduced theory of elasticity. Motivated by recent experimen…