References to Cite

Continuous Waves with Single Element Using Fast Nearfield Method with Rectangular Transducer

R. J. McGough. Rapid calculations of time-harmonic nearfield pressures produced by rectangular pistons. J. Acoust. Soc. Am. 2004;115:1934-1941.

D. Chen and R. J. McGough. A 2D fast near-field method for calculating near-field pressures generated by apodized rectangular pistons. J. Acoust. Soc. Am. 2006;124:1526-1537.

BibTeX Format

@article{ rect-bibtex,
	  author = "R. J. McGough",
	  title = "Rapid calculations of time-harmonic nearfield pressures produced by rectangular pistons",
	  journal = "Journal of the Acoustical Society of America",
	  volume = "115",
	  number = "5",
	  pages = "1934-1941",
	  year = "2004" }
	  
@article{ fmn-bibtex,
	  author = "D. Chen and R. J. McGough",
	  title = "A 2D fast near-field method for calculating near-field pressures generated by apodized rectangular pistons",
	  journal = "Journal of the Acoustical Society of America",
	  volume = "124",
	  number = "5",
	  pages = "1526-1537",
	  year = "2008" }

Links to papers

Rapid calculations of time-harmonic nearfield pressures produced by rectangular pistons.

PDF | PubMed

A 2D fast near-field method for calculating near-field pressures generated by apodized rectangular pistons.

PDF | PubMed

Background Information

The Fast Nearfield Method

The fast nearfield method, which converges much more rapidly than the point source superposition method or the impulse response, produces accurate numerical results in a fraction of the time required by other approaches. In addition, the FNM has been adapted to transient problems encountered in imaging applications. For time-domain problems, the FNM avoids the temporal aliasing problems associated with the impulse response approach while also providing a fast and efficient method for computing transient fields. Since the field generated by each element is exact in a linear, homogeneous medium, the user does not have to worry about controlling the error in large acoustic calculations. The FMN paper is cited because it exaplains the pratical implementation of analyzing continuous waves when using this method.