A method for delivering spatio-temporally focused energy to a dynamically adjustable target along a waveguiding structure

Authors:
J. Brandon Laflen;Thomas M. Talavage
Affiliations:
Departments of Otolaryngology and Physiology & Neuroscience, School of Medicine, and the Courant Institute of Mathematical Sciences, New York University, New York, NY;School of Electrical and Computer Engineering and the Weldon School of Biomedical Engineering, Purdue University, West Lafayette, IN
Venue:
IEEE Transactions on Signal Processing
Year:
2010

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Abstract

It is possible to exploit the frequency-dependent velocity dispersion inherent to waveguiding structures to deliver spatio-temporally focused energy to a spatial target anywhere along the longitudinal extent of a waveguide. Such focusing of energy may have application to technologies as varied as nerve stimulation or chemical etching. A waveguide signal that effects this focused energy is conceptualized and derived. The spatial location of the target acted upon by the waveguide signal is demonstrated to be dynamically adjustable with a linear filtering step. Optimal parameters for waveguide signal generation are derived in the general case, allowing for application to a cross section of homogeneous waveguides. Performance is also considered in non-ideal, absorptive media. Numerical simulations are presented that indicate agreement with analytic results, and an evaluation of possible reduction to practice is presented.