A new method to obtain elliptic ray bundles in three-dimensional geometry is presented. This type of bundle is of special interest in nonimaging optics because the only known three-dimensional ideal concentrators with homogeneous media transmit elliptic bundles. First, we reformulate the condition for a bundle to be elliptic; that is, the rays passing through any point of the space form a cone with an elliptic base. The solution found includes all the elliptic bundles obtained by other methods as a particular case. Second, we look for the concentrators defined by the new elliptic bundles with the flow-line design method of nonimaging optics. Most of these bundles do not generate new devices but are transmitted ideally through the already known three-dimensional ideal concentrators.
© 1999 Optical Society of America
Original Manuscript: December 15, 1998
Revised Manuscript: April 15, 1999
Manuscript Accepted: April 15, 1999
Published: September 1, 1999
Pablo Benı́tez, "Elliptic ray bundles in three-dimensional geometry for nonimaging optics: a new approach," J. Opt. Soc. Am. A 16, 2245-2252 (1999)