Texas A&M University
College Station, TX
Fabrication techniques borrowed from the semiconductor industry have in recent years allowed the construction of increasingly complex optical elements with features on the sub-micron length scale. A natural problem arising from the study of such structures is that of finding a periodic interface separating two homogeneous materials, such that time-harmonic waves scattered from the structure have a specified diffraction pattern. Direct minimization formulations of the problem can result in nonconvergent minimizing sequences. By imposing a total variation constraint, the problem is rendered well-posed. Numerical optimization methods can then be applied to produce optimal designs for some novel structures.
Please join us for refreshments before the lecture at 2:30p.m. in room 353 Jabara Hall.
[ Fall 1998]