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Your search keyword '"Ratolojanahary, F. E."' showing total 2 results
Start Over Author "Ratolojanahary, F. E." Topic legendre's polynomials
2 results on '"Ratolojanahary, F. E."'

1. 3-D modeling of hollow cylinder piezoelectric resonator by polynomial approach.

Author

Khalfi, H., Raghib, R., Naciri, I., Falimiaramanana, D. J., Ratolojanahary, F. E., Benami, A., Yu, J., and Elmaimouni, L.

Subjects
CRYSTAL resonators, LEGENDRE'S polynomials, ACOUSTIC resonators, POLYNOMIALS, FINITE element method, ELECTROMECHANICAL effects, WAVE equation
Abstract

The semi-analytical modeling of acoustic wave resonators is discussed in this study. A polynomial approach to wave propagation is used to predict the electromechanical behavior of piezoelectric resonators in a circular ring with hexagonal elastic symmetry. We present a Legendre polynomial-based 3D semi-analytical technique capable of accounting for finite lateral dimensions. Using delta functions, the boundary conditions are immediately integrated into the wave equations. The Legendre polynomial method's validity is confirmed by comparing polynomial results with finite element method (FEM) results from the literature. [ABSTRACT FROM AUTHOR]

Published
2023
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2. Legendre polynomial modeling of composite bulk acoustic wave resonators.

Author

Raherison, A., Ratolojanahary, F. E., Lefebvre, J. E., and Elmaimouni, L.

Subjects
*LEGENDRE'S polynomials, *RESONATORS, *ACOUSTIC surface wave devices, *MODAL analysis, *HARMONIC analysis (Mathematics), *MATHEMATICAL models
Abstract

The Legendre polynomial method has been extended to the modeling of bulk acoustic wave (BAW) resonators. Modifications have been made to the formulation in order to account for large differences in the physical properties of adjoining layers and to take into account the electric source. A unique formalism has been obtained which allows for both harmonic and modal analyses. Resonance and antiresonance frequencies, electric input impedance, electromechanical coupling coefficients, and quality factors have been obtained for an aluminum/zinc oxide/aluminum (Al/ZnO/Al) BAW resonator. The results are in excellent agreement with analytical results. [ABSTRACT FROM AUTHOR]

Published
2008
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