activity
20172024
most citedWave-driven assembly of quasi periodic patterns of particles

21 citations · 32 across the 4 of their papers we have counts for

collaborators

5 papers

math.AP2024

Design and control of quasiperiodic patterns of particles with standing acoustic waves

Elena Cherkaev, Fernando Guevara Vasquez, China Mauck

We develop a method to design tunable quasiperiodic structures of particles suspended in a fluid by controlling standing acoustic waves. One application of our results is to ultras…

math.NA2023

Imaging with thermal noise induced currents

Trent DeGiovanni, Fernando Guevara Vasquez, China Mauck

We use thermal noise induced currents to image the real and imaginary parts of the conductivity of a body. Covariances of the thermal noise currents measured at a few electrodes ar…

math-ph2020★ 21 cited

Wave-driven assembly of quasi periodic patterns of particles

Elena Cherkaev, Fernando Guevara Vasquez, China Mauck +2

We theoretically show that a superposition of plane waves causes small (compared to the wavelength) particles dispersed in a fluid to assemble in quasiperiodic two or three dimensi…

math.NA2019★ 11 cited

Periodic particle arrangements using standing acoustic waves

Fernando Guevara Vasquez, China Mauck

We determine crystal-like materials that can be fabricated by using a standing acoustic wave to arrange small particles in a non-viscous liquid resin, which is cured afterwards to…

math.NA2017

Approximation by Herglotz wave functions

Fernando Guevara Vasquez, China Mauck

We consider the problem of approximating a function using Herglotz wave functions, which are a superposition of plane waves. When the discrepancy is measured in a ball, we show tha…