Take your understanding of vector calculus to the next level! In this video, we dive into mastering unit vector time derivatives in spherical coordinates. Learn how to handle changing directions in ...

Learn how to simplify spherical unit vectors using Cartesian representation in this clear, step-by-step tutorial. Perfect for physics and engineering students, this video breaks down the math behind ...

From table salt to snowflakes, and from gemstones to diamonds—we encounter crystals everywhere in daily life, usually cubic (table salt) or hexagonal (snowflakes). Researchers from Noushine ...

Abstract: A new finite plane wave series expansion for spherical wave functions of the first kind is presented in this paper. The formulation converts the spherical wave function described in the ...

Abstract: The numerical dispersion relation for the finite-difference time-domain method in three-dimensional spherical coordinates is derived. Derivation is based on matching spherical wave functions ...