To get a wide bandgap, a 3D phonon crystal structure was obtained by placing dielectric spheres at diamond lattice points and connecting nearest-neighbor spheres with dielectric rods. Its energy band structures, vibration modes, and transmission spectra were calculated using the finite element method. The numerical calculation results showed that the diamond lattice phonon crystal structure displays an ultra-wide elastic wave bandgap with a relative bandgap width of 144.5%; the resonance of dielectric spheres and connecting rods is the main reason to cause the ultra-wide bandgap; variation of dielectric spheres and connecting rods’ diameters significantly affects bandgap boundary and bandgap width. Furthermore, this structure’s photonic energy band structure was calculated using the plane wave expansion method. The results showed that this diamond lattice sphere-rod structure not only has an ultra-wide phonon crystal bandgap, but also acquires a photonic bandgap with a definite width; this 3D diamond lattice phonon crystal structure can be applied in design and development of materials for vibration reduction and noise suppressing, and new type acousto-optic devices.
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