References to Cite

Transient Waves Using Time Space Decomposition and FMN with Circular Transducer

R. J. McGough, T. V. Samulski, and J. F. Kelly. An efficient grid sectoring method for calculations of the near-field pressure generated by a circular piston. J. Acoust. Soc. Am. 2004;115:1942-1954.

J. F. Kelly and R. J. McGough. A Time-Space Decomposition Method for Calculating the Nearfield Pressure Generated by a Pulsed Circular Piston. IEEE Trans. Ultrason Ferroelectr. Freq. Control. 2006;l53:1150-1159.

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{ circle-bibtex,
	  author = "R. J. McGough and T.V. Samulski and J.F. Kelly",
	  title = "An efficient grid sectoring method for calculations of the near-field pressure generated by a circular piston",
	  journal = "Journal of the Acoustical Society of America",
	  volume = "115",
	  number = "5",
	  pages = "1942-1954",
	  year = "2004" }
	  
@article{ tsd-bibtex,
	  author = "J. F. Kelly and R. J. McGough",
	  title = "A time-space decomposition method for calculating the nearfield pressure generated by a pulsed circular piston",
	  journal = "IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control",
	  volume = "53",
	  number = "6",
	  pages = "1150-1159",
	  year = "2006" }
	  
@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

An efficient grid sectoring method for calculations of the near-field pressure generated by a circular piston.

PDF | PubMed

A Time-Space Decomposition Method for Calculating the Nearfield Pressure Generated by a Pulsed Circular Piston.

PDF | PubMed | IEEE

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

PDF | PubMed

Background Information

Time-Space Decomposition

Using Time-Space Decomposition, FOCUS is able to perform transient calculations very quickly and at lower sample rates for the same accuracy. Time-space decomposition analytically separates the temporal and spatial components of a rapidly converging single integral expression, thereby converting transient nearfield pressure calculations into the superposition of a small number of fast-converging spatial integrals that are weighted by time-dependent factors. The time-sapce decomposition paper is cited because it gives the theory behind using the FNM on transient waves.

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 transient waves.