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A postprocessing method based on chirp Z transform for FDTD calculation of point defect states in two-dimensional phononic crystals

Authors
Journal
Physica B Condensed Matter
0921-4526
Publisher
Elsevier
Publication Date
Volume
405
Issue
17
Identifiers
DOI: 10.1016/j.physb.2010.05.058
Keywords
  • Phononic Crystal
  • Point Defect State
  • Finite Difference Time Domain
  • Chirp Z Transform

Abstract

Abstract In this paper, a new postprocessing method for the finite difference time domain (FDTD) calculation of the point defect states in two-dimensional (2D) phononic crystals (PNCs) is developed based on the chirp Z transform (CZT), one of the frequency zooming techniques. The numerical results for the defect states in 2D solid/liquid PNCs with single or double point defects show that compared with the fast Fourier transform (FFT)-based postprocessing method, the method can improve the estimation accuracy of the eigenfrequencies of the point defect states significantly when the FDTD calculation is run with relatively few iterations; and furthermore it can yield the point defect bands without calculating all eigenfrequencies outside the band gaps. The efficiency and accuracy of the FDTD method can be improved significantly with this new postprocessing method.

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