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Photonic band gap structure simulator

United States Patent

October 3, 2006
View the Complete Patent at the US Patent & Trademark Office
A system and method for designing photonic band gap structures. The system and method provide a user with the capability to produce a model of a two-dimensional array of conductors corresponding to a unit cell. The model involves a linear equation. Boundary conditions representative of conditions at the boundary of the unit cell are applied to a solution of the Helmholtz equation defined for the unit cell. The linear equation can be approximated by a Hermitian matrix. An eigenvalue of the Helmholtz equation is calculated. One computation approach involves calculating finite differences. The model can include a symmetry element, such as a center of inversion, a rotation axis, and a mirror plane. A graphical user interface is provided for the user's convenience. A display is provided to display to a user the calculated eigenvalue, corresponding to a photonic energy level in the Brilloin zone of the unit cell.
Chen; Chiping (Needham, MA), Shapiro; Michael A. (Marblehead, MA), Smirnova; Evgenya I. (Somerville, MA), Temkin; Richard J. (Newton, MA), Sirigiri; Jagadishwar R. (Cambridge, MA)
Massachusetts Institute of Technology (Cambridge, MA)
10/ 171,725
June 14, 2002
GOVERNMENT RIGHTS This invention was made with government support under Grant No. F49620-99-0197 and Grant No. F49620-01-0007 awarded by the United States Air Force Office of Scientific Research, and Grant No. DE-FG02-95ER40919 awarded by the Department of Energy. The government may have certain rights in the invention.