Research

[Publications] [Conference proceedings] [Conference talks] [Seminar talks] [Posters]

Many classical results in wave physics involve an underlying assumption of symmetry in nature. For example, Rayleigh explained the blue color of the sky by treating the atmosphere as a suspension of small homogeneous spheres [Philos. Mag. 47, 375-384 (1899)]. Gor'kov restricted his calculation of acoustic radiation force to subwavelength spheres [Sov. Phys. Dokl. 6, 773-775 (1962)]. Fresnel famously evaluated his theory of diffraction for circular apertures [Annales de Chimie et de Physique 2, 239-281 (1816)], and attention was largely confined to axisymmetric sources until the 1990s.

In reality, the world is full of asymmetries, whether naturally occurring or man-made. From the perspective of physics, broken symmetries cause nature to behave in interesting (and often surprising) ways [P. W. Anderson, Science 177, 393-396 (1972)]. From the perspective of engineering, accounting for asymmetries leads to additional degrees of freedom that can enhance capabilities in additive manufacturing, particle manipulation, transduction, and communications.

My doctoral research generalizes the results mentioned above to asymmetric scatterers and sources of sound. While at UT Austin, I have

Publications

  1. C. A. Gokani, M. R. Haberman, M. F. Hamilton. "Analytical solutions for acoustic vortex beam radiation from planar and spherically focused circular pistons," JASA Express Lett. 4, 124001 (2024). Editor's choice. [PDF]† [BibTeX]

  2. C. A. Gokani, M. R. Haberman, M. F. Hamilton. "Paraxial and ray approximations of acoustic vortex beams," J. Acoust. Soc. Am. 155, 2707-2723 (2024). [PDF]* [BibTeX]

Conference proceedings

  1. C. A. Gokani, T. S. Jerome, M. R. Haberman, M. F. Hamilton. "Born approximation of acoustic radiation force used for acoustofluidic separation," Proc. Mtgs. Acoust. 48, 045002 (2022). [PDF]* [BibTeX]

Conference talks

  1. C. A. Gokani, M. R. Haberman, M. F. Hamilton. "Effects of increasing orbital number on the field transformation in focused vortex beams," J. Acoust. Soc. Am. 155, A346 (2024). Presented at the 186th ASA, Ottawa, Canada. See also: "Using rays to describe spinning sound," a lay-language piece corresponding to this presentation. [slides]

  2. C. A. Gokani, J. M. Cormack, M. F. Hamilton. "Growth rates of harmonics in nonlinear vortex beams," J. Acoust. Soc. Am. 154, A328 (2023). Presented at the 185th ASA, Sydney, Australia. [slides]

  3. C. A. Gokani, S. P. Wallen, M. R. Haberman. "Reciprocity, passivity, and causality in fully coupled acousto-electrodynamic media," J. Acoust. Soc. Am. 154, A118 (2023). Presented at the 185th ASA, Sydney, Australia.

  4. C. A. Gokani, S. P. Wallen, M. F. Hamilton, M. R. Haberman. "Source-driven homogenization theory for electro-momentum coupled scatterers," J. Acoust. Soc. Am. 153, A120 (2023). Presented at the 184th ASA, Chicago, IL. Tied for first place in the ASA Structural Acoustics and Vibration Student Competition. See also: "Computational analysis of sub-wavelength scatterers exhibiting electro-momentum coupling," presented by S. P. Wallen in the same session.

  5. C. A. Gokani, Y. Meng, M. R. Haberman, M. F. Hamilton. "Analytical solution for a focused vortex beam radiated by a Gaussian source," J. Acoust. Soc. Am. 152, A56 (2022). Presented at the 183rd ASA, Nashville, TN. [slides]

  6. C. A. Gokani, T. S. Jerome, M. R. Haberman, M. F. Hamilton. "Born approximation of acoustic radiation force used for acoustofluidic separation," J. Acoust. Soc. Am. 151, A90 (2022). Presented at the 182nd ASA, Denver, CO and the 22nd International Symposium on Nonlinear Acoustics, Oxford, UK. [slides]

Seminar talks

  1. C. A. Gokani, M. R. Haberman, M. F. Hamilton. "Paraxial and ray approximations of acoustic vortex beams," Center for Nonlinear Dynamics, Physics Department, UT Austin, September 25th, 2024. [slides]

Posters

  1. C. A. Gokani, M. R. Haberman, M. F. Hamilton. "Acoustic radiation force on subwavelength objects due to progressive waves," Walker Department of Mechanical Engineering Research Poster Competition, February 21st, 2025, tied for 1st place out of 30 posters. [PDF]

  2. C. A. Gokani, M. R. Haberman, M. F. Hamilton. "Paraxial and ray approximations of acoustic vortex beams," Walker Department of Mechanical Engineering Research Poster Competition, March 18th, 2024, 3rd place out of 30 posters. [PDF]

†© Author(s). This article is distributed under a Creative Commons Attribution (CC BY) License.

*© Acoustical Society of America. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the Acoustical Society of America

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