Abstract
Based on the phononic crystal slab resonators, a new structure is proposed which has the operation similar to electromagnetically induced transparency (EIT) in the optical domain. This structure includes two resonance microcavities and interacts with each other. Due to the interaction between two microcavities, the transmission coefficient will be off while in noninteracting case it is on. Finite element method (FEM) is utilized to simulate the performance of the structure. The transmission spectrum of the structure is investigated in different states such as different coupling between two resonators. Also, it is shown that with control the coupling coefficient between two cavities, the acoustic transmission will be controlled especially in the resonance frequency of the cavities before coupling. Finally, the nonlinear properties of this phononic structure are investigated and the changes in the mass density due to this nonlinearity are discussed.
Highlights
Induced transparency (EIT) is a quantum coherent effect which causes a medium to be transparent in a narrow band spectrum because of interference between two different waves.[1,2] The observation of Electromagnetically induced transparency (EIT) in practice was reported in 1991.3 interference of two resonance frequencies of a system which are excited with two different waves is the underlying cause of EIT, optical nonlinearity makes this interference stronger and results in better transparency
Elastic wave propagation can be managed in nonlinear phononics and help us to introduce new devices such as phononic wave hard limiter.[29]
On account of the significance of phononic structures in phonon engineering and controlling the elastic wave propagation, introducing the new devices or structures in this field have been considered in recent years
Summary
Are beneficial components of MEMS and radio frequency MEMS (RF MEMS). Since PnC resonators made of high-Q materials such as silicon provide both high-Q and better motional impedance, they are very promising for micro-resonators.[17,18,19] Fabry-Perot resonators which are realized by the transversal resonance between two arrays of PnC and waveguide-based PnC resonators are the structures which are used in the construction of PnC resonators.[20]. Owing to the capability of the slab in confining the elastic energy, two dimensional (2-D) PnC slabs with different lattice structure such as hexagonal and honeycomb lattice have been of interest in designing and fabricating of PnC resonators.[22] In this paper, one of these 2-D resonators which have cubic lattice and fabricated by creating air holes in silicon,[23] is selected to demonstrate an EIT-like situation in phononics. FMin and FMax are low and high resonance frequencies, respectively
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