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We consider two-dimensional phononic crystals formed from silicon and voids,and present optimized unit cell designs for (1) out-of-plane, (2) in-plane and(3) combined out-of-plane and in-plane elastic wave propagation. To feasiblysearch through an excessively large design space (10e40 possible realizations)we develop a specialized genetic algorithm and utilize it in conjunction withthe reduced Bloch mode expansion method for fast band structure calculations.Focusing on high symmetry plain-strain square lattices, we report unit celldesigns exhibiting record values of normalized band-gap size for all threecategories. For the combined polarizations case, we reveal a design with anormalized band-gap size exceeding 60%.

Ultrawide phononic band gap for combined in-plane and out-of-plane waves