Electromagnetic Holography on Cylindrical Surfaces Using K-Space Transformations

Far-field acoustic holography onto cylindrical surfaces using pressure measured on semicircles

A simple formula was recently proposed by Williams @J. Acoust. Soc. Am. 99, 2022–2032 ~1996!# for imaging pressure and velocity on a vibrating circular cylindrical shell using the far-field pressure measured along a meridional semicircle. The method is examined and some new results are obtained. The procedure is generalized to handle cylindrical surfaces of noncircular but convex cross section....

Molecular assembly on cylindrical surfaces

A molecule adsorbed on a metal surface carries an electric dipole moment, and diffuses on the surface. When a collection of identical molecules partially covers the surface, the dipole–dipole interactions, along with other thermodynamic forces, drive the molecules to aggregate into monolayer islands, in the shape of dots or stripes. The dipole– dipole interactions mediate through the electrosta...

Electromagnetic source transformations using superellipse equations

Transformation optics can be used to design media with unique properties that alter the behavior of electromagnetic waves in passive space and recently in space containing source distributions. We present source transformations where current from a linear radiator is spread over a cylindrical shell with various cross sections. The semianalytic transformations are based on superellipse equations...

Holography and Riemann Surfaces

We study holography for asymptotically AdS spaces with an arbitrary genus compact Riemann surface as the conformal boundary. Such spaces can be constructed from the Euclidean AdS3 by discrete identifications; the discrete groups one uses are the so-called classical Schottky groups. As we show, the spaces so constructed have an appealing interpretation of “analytic continuations” of the known Lo...

The Moduli Space of Surfaces with K