References to Cite

Continuous Waves with Single Element Using Angular Spectrum Approach with Spherical Transducer

J. F. Kelly and R. J. McGough. Transient field generated by spherical shells in viscous media. 8th International Symposium on Therapeutic Ultrasound;2009:1113:210-214.

X. Zeng and R. J. McGough. Evaluation of the angular spectrum approach for simulations of near-field pressures. J. Acoust. Soc. Am. 2008;123:68-76.

BibTeX Format

@article{ sphere-bibtex,
	  author = "J. F. Kelly and R. J. McGough",
	  title = "Transient field generated by spherical shells in viscous media",
	  journal = "8th International Symposium on Therapeutic Ultrasound",
	  volume = "1113",
	  pages = "210-214",
	  year = "2008" }
	
@article{ asa-bibtex,
	  author = "X. Zeng and R. J. McGough",
	  title = "Evaluation of the angular spectrum approach for simulations of near-field pressures",
	  journal = "Journal of the Acoustical Society of America",
	  volume = "123",
	  number = "1",
	  pages = "68-76",
	  year = "2008" }

Links to papers

Evaluation of the angular spectrum approach for simulations of near-field pressure.

PDF | PubMed

Background Information

Angular Spectrum Approach

The angular spectrum approach describes the diffraction of acoustic waves from finite apertures by superposing plane waves traveling in different directions and propagating these components in the spatial frequency domain. As opposed to integral approaches that calculate the field at each observation point, the angular spectrum approach computes the pressure field in successive planes with a two-dimensional (2D) fast Fourier transform (FFT), which speeds up these calculations significantly. The angular spectru, approach uses either the normal particle velocity or the pressure as the source, and then the spectral propagator function or the 2D Fourier transform of the spatial propagator is multiplied by the source in the spatial frequency domain to simulate the source in the spatial frequency domain to simulate the propagation of acoustic waves. The ASA paper is cited because it exaplains the method of using ASA when analyzing continuos waves.

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