[Websites] [Notes] [Practice problems] [Crossword puzzles]
Acoustics PhD qualifying exam review site: website with everything I need to know for my qualifying exam.
ICA 2025 New Orleans: meeting website for the 25th International Congress on Acoustics and 188th Meeting of the Acoustical Society of America.
Wave Phenomena: my notes from Prof. Hamilton's course, spring 2024.
Bohr radius from variation principle: an elegant way of calculating the Bohr radius without looking at the Schrödinger equation, based on class notes from Prof. Yuri Gartstein's Quantum I course at UTD.
Coriolis and centrifugal forces: slides on fictitious forces.
Green's functions: working out the approach prescribed in Theoretical Acoustics by Morse and Ingard, I show that \(e^{ikR}/4\pi R\) solves the 3D inhomogeneous Helmholtz equation \((\nabla^2 + k^2)f = -\delta(\vec{r}-\vec{r}_0)\). [How to directly integrate the first integral on the left-hand-side of Eq. (2)]. Here I re-derive Morse and Ingard's integral equation (7.1.17), which is the Helmholtz-Kirchhoff integral. This is a derivation of the Sommerfeld radiation condition. For more on Green's functions, see my notes from Prof. Hamilton's Wave Phenomena course.
Least-action derivations of wave equations: when expressions of kinetic and potential energy densities are available in terms of a single wave variable, the least-action principle can be used to derive the wave equation.
Masala chai: traditional Indian tea
Planck quantities: based on Prof. Xiaoyan Shi's first Modern Physics lecture at UTD.
Ray theory: notes on two (equivalent) approaches to ray theory
Acoustics I practice problem: an entertaining practice problem I wrote while studying for my Acoustics I midterm exam. It involves a "Gaussian comb" pressure-amplitude profile. [solution]
Acoustics I practice problem: created in preparation for the Acoustics I final. [solution]
Acoustics II practice problem: starring me and Jackson, created in preparation for the Acoustics II midterm. [solution] My Acoustics I/II practice problems resulted in a conference talk that I presented at the 183rd ASA, Nashville, TN.
Differential operators in curvilinear coordinates grad school skills seminar: a guided worksheet on deriving the vector calculus in general orthogonal coordinates, to present to the Austin Student Chapter of the ASA on February 6th, 2026. [announcement]
Multivariable calculus grad school skills seminar: a refresher worksheet on multivariable calculus for undergraduate and graduate students in acoustics at UT Austin. This worksheet was presented as an activity for the Austin Student Chapter of the ASA on November 15th, 2024.
Nonlinear acoustics study guide for midterm: problems that review the first half of Prof. Hamilton's nonlinear acoustics course. [solutions]
Nonlinear acoustics study guide for final: problems that review the second half of Prof. Hamilton's nonlinear acoustics course. [solutions]
Acoustics crossword for the 188th ASA & 25nd ICA conference: for conference participants at the spring 2025 ASA meeting in New Orleans
Acoustics crossword for WiSTEM: distributed at the "WiSTEM Sound Adventure," summer 2025, a day camp for high school students interested in acoustics
Acoustics crossword for the 189th ASA meeting joint with ASJ: for conference participants at the fall 2025 ASA meeting in Honolulu
Radiation force: distributed at "Radiation forces due to progressive waves on a string and acoustic waves" at the Center for Nonlinear Dynamics, UT Austin, 2025.
Scattering and diffraction crossword: for my dissertation defense on March 12th, 2026