Exploring electromagnetics, mathematics, and engineering insights
A rigorous analysis of guided modes in optical fibers using Sturm–Liouville theory and first-order perturbation methods, with validated numerical solutions for index, radius, and absorption perturbations.
An exploration of how geometry, probability, and sequential estimation converge on the elegant solution to linear regression, revealing deep connections across machine learning.
A complete implementation and validation of the Finite-Difference Time-Domain (FDTD) method for simulating electromagnetic wave propagation in a 2D Perfect Electric Conductor (PEC) cavity with sub-1% accuracy.
How the algebra of the quantum harmonic oscillator becomes photon creation and annihilation operators in quantum optics.
A comprehensive tutorial on combining MDX, KaTeX, and React components to create rich, interactive technical content