Abstract
The optimal design of photonic band gaps for two-dimensional square lattices is considered. We use the level set method to represent the interface between two materials with two different dielectric constants. The interface is moved by a generalized gradient ascent method. The biggest gap of GaAs in air that we found is 0.4418 for TM (transverse magnetic field) and 0.2104 for TE (transverse electric field).
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Kao, C.Y., Osher, S. & Yablonovitch, E. Maximizing band gaps in two-dimensional photonic crystals by using level set methods. Appl. Phys. B 81, 235–244 (2005). https://doi.org/10.1007/s00340-005-1877-3
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DOI: https://doi.org/10.1007/s00340-005-1877-3