Bandgap Extremization: Some Exact Results

Details Bandgap Extremization: Some Exact Results Bandgap Extremization: Some Exact Results

2001-12-20

arxiv.org/abs/math-ph/0112047v1

Physics

Mathematical Physics

9 pages, 6 figures

Scientific paper

We present here a variational method for maximizing the bandgap in a one-dimensional system where the potential is subject to given constraints. Two specific examples are studied in detail. In the first, we show that if the potential is constrained to lie between two values, the largest bandgap is obtained by a mixture of the highest and lowest potential - an exact result valid in any dimension. The second example fixes the first and second moments of the potential and seeks to extremize the bandgap. An exact result is obtained. Finally, we indicate how our techniques may be applied to photonic bandgaps.

Affiliated with

Also associated with

No associations

Rating

Bandgap Extremization: Some Exact Results does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Bandgap Extremization: Some Exact Results, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bandgap Extremization: Some Exact Results will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-314928