Topologically evolved phononic material: breaking the world record in band gap size

Osama R. Bilal; Mahmoud I. Hussein

doi:10.1117/12.916549

22 February 2012 Topologically evolved phononic material: breaking the world record in band gap size

Osama R. Bilal, Mahmoud I. Hussein

Proceedings Volume 8269, Photonic and Phononic Properties of Engineered Nanostructures II; 826911 (2012) https://doi.org/10.1117/12.916549
Event: SPIE OPTO, 2012, San Francisco, California, United States

Abstract

We consider two-dimensional phononic crystals formed from silicon and voids, and present optimized unit-cell designs for the following modes of elastic wave propagation: (1) out-of-plane, (2) in-plane, (3) combined out-of- plane and in-plane, and (4) flexural (on the basis of Mindlin plate theory). To feasibly search through an excessively large design space (~10⁴⁰ possible realizations) we develop a specialized genetic algorithm and utilize it in conjunction with the reduced Bloch mode expansion method for fast band-structure calculations. Focusing on high-symmetry plain-strain square lattices, we report unit-cell designs exhibiting record values of normalized band-gap size for all four categories. For the case of combined polarizations, we reveal a smoothened design with a normalized band-gap size exceeding 60%. For the thin-plate problem, a manufacturable design is presented with a normalized band gap in excess of 57%.

Citation Download Citation

Osama R. Bilal and Mahmoud I. Hussein "Topologically evolved phononic material: breaking the world record in band gap size", Proc. SPIE 8269, Photonic and Phononic Properties of Engineered Nanostructures II, 826911 (22 February 2012); https://doi.org/10.1117/12.916549

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