Bi-directional evolutionary optimization for photonic band gap structures. (English) Zbl 1349.82100
Summary: Toward an efficient and easy-implement optimization for photonic band gap structures, this paper extends the bi-directional evolutionary structural optimization (BESO) method for maximizing photonic band gaps. Photonic crystals are assumed to be periodically composed of two dielectric materials with the different permittivity. Based on the finite element analysis and sensitivity analysis, BESO starts from a simple initial design without any band gap and gradually re-distributes dielectric materials within the unit cell so that the resulting photonic crystal possesses a maximum band gap between two specified adjacent bands. Numerical examples demonstrated the proposed optimization algorithm can successfully obtain the band gaps from the first to the tenth band for both transverse magnetic and electric polarizations. Some optimized photonic crystals exhibit novel patterns markedly different from traditional designs of photonic crystals.
MSC:
| 82C80 | Numerical methods of time-dependent statistical mechanics (MSC2010) |
| 65N30 | Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs |
| 82D25 | Statistical mechanics of crystals |
Keywords:
topology optimization; photonic band gap; bi-directional evolutionary structural optimization (BESO); periodic unit cellSoftware:
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