Abstract
The present study proposes a wideband two-dimensional Luneburg lens using graded phononic crystals (GPCs). We present a method to broaden the range of operation frequency of the Luneburg lens based on GPCs. The GPCs is composed of circular cylindrical rods with triangular lattice air background. In long wavelength limit assumption, periodic structure behaves like a homogeneous medium since dispersion relations is almost linear. The effective refractive index can be tuned by adjusting the filling ratio. The plan wave expansion method is utilized to calculate the band structures of the locally GPCs and the effective refractive index of the locally GPCs with different filling ratio. Finite element simulations was employed to confirm the acoustic properties of designed device. Our numerical simulations demonstrate that the operation frequency range of GPCs of circular cylindrical rods arranged as triangular array is much wider than those of square array. A wideband acoustic Luneburg lens can be achieved by using graded phononic crystals of triangular array.
| Original language | English |
|---|---|
| Title of host publication | Vibration, Acoustics and Wave Propagation |
| Publisher | American Society of Mechanical Engineers (ASME) |
| ISBN (Electronic) | 9780791857564 |
| DOIs | |
| Publication status | Published - 2015 Jan 1 |
| Event | ASME 2015 International Mechanical Engineering Congress and Exposition, IMECE 2015 - Houston, United States Duration: 2015 Nov 13 → 2015 Nov 19 |
Publication series
| Name | ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE) |
|---|---|
| Volume | 13-2015 |
Other
| Other | ASME 2015 International Mechanical Engineering Congress and Exposition, IMECE 2015 |
|---|---|
| Country | United States |
| City | Houston |
| Period | 15-11-13 → 15-11-19 |
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All Science Journal Classification (ASJC) codes
- Mechanical Engineering
Cite this
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Wideband acoustic luneburg lens based on graded index phononic crystal. / Wang, Chia Fu; Tsai, Chia Nien; Chang, I. Ling; Chen, Lien Wen.
Vibration, Acoustics and Wave Propagation. American Society of Mechanical Engineers (ASME), 2015. (ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE); Vol. 13-2015).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
TY - GEN
T1 - Wideband acoustic luneburg lens based on graded index phononic crystal
AU - Wang, Chia Fu
AU - Tsai, Chia Nien
AU - Chang, I. Ling
AU - Chen, Lien Wen
PY - 2015/1/1
Y1 - 2015/1/1
N2 - The present study proposes a wideband two-dimensional Luneburg lens using graded phononic crystals (GPCs). We present a method to broaden the range of operation frequency of the Luneburg lens based on GPCs. The GPCs is composed of circular cylindrical rods with triangular lattice air background. In long wavelength limit assumption, periodic structure behaves like a homogeneous medium since dispersion relations is almost linear. The effective refractive index can be tuned by adjusting the filling ratio. The plan wave expansion method is utilized to calculate the band structures of the locally GPCs and the effective refractive index of the locally GPCs with different filling ratio. Finite element simulations was employed to confirm the acoustic properties of designed device. Our numerical simulations demonstrate that the operation frequency range of GPCs of circular cylindrical rods arranged as triangular array is much wider than those of square array. A wideband acoustic Luneburg lens can be achieved by using graded phononic crystals of triangular array.
AB - The present study proposes a wideband two-dimensional Luneburg lens using graded phononic crystals (GPCs). We present a method to broaden the range of operation frequency of the Luneburg lens based on GPCs. The GPCs is composed of circular cylindrical rods with triangular lattice air background. In long wavelength limit assumption, periodic structure behaves like a homogeneous medium since dispersion relations is almost linear. The effective refractive index can be tuned by adjusting the filling ratio. The plan wave expansion method is utilized to calculate the band structures of the locally GPCs and the effective refractive index of the locally GPCs with different filling ratio. Finite element simulations was employed to confirm the acoustic properties of designed device. Our numerical simulations demonstrate that the operation frequency range of GPCs of circular cylindrical rods arranged as triangular array is much wider than those of square array. A wideband acoustic Luneburg lens can be achieved by using graded phononic crystals of triangular array.
UR - http://www.scopus.com/inward/record.url?scp=84982953333&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84982953333&partnerID=8YFLogxK
U2 - 10.1115/IMECE201552927
DO - 10.1115/IMECE201552927
M3 - Conference contribution
AN - SCOPUS:84982953333
T3 - ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
BT - Vibration, Acoustics and Wave Propagation
PB - American Society of Mechanical Engineers (ASME)
ER -