Computation and visualization of photonic quasicrystal spectra via Blochs theorem

Details Computation and visualization of photonic quasicrystal spectra via Blochs theorem Computation and visualization of photonic quasicrystal spectra via Blochs theorem

2007-11-13

arxiv.org/abs/0711.2052v2

Physical Review B, 77 104201, 2008

Physics

Optics

Published in Physical Review B, 77 104201, 2008

Scientific paper

10.1103/PhysRevB.77.104201

Previous methods for determining photonic quasicrystal (PQC) spectra have relied on the use of large supercells to compute the eigenfrequencies and/or local density of states (LDOS). In this manuscript, we present a method by which the energy spectrum and the eigenstates of a PQC can be obtained by solving Maxwells equations in higher dimensions for any PQC defined by the standard cut-and-project construction, to which a generalization of Blochs theorem applies. In addition, we demonstrate how one can compute band structures with defect states in the higher-dimensional superspace with no additional computational cost. As a proof of concept, these general ideas are demonstrated for the simple case of one-dimensional quasicrystals, which can also be solved by simple transfer-matrix techniques.

Affiliated with

Also associated with

No associations

Rating

Computation and visualization of photonic quasicrystal spectra via Blochs theorem 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 Computation and visualization of photonic quasicrystal spectra via Blochs theorem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Computation and visualization of photonic quasicrystal spectra via Blochs theorem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-271764