3 papers
math.NA2024
A novel direct Helmholtz solver in inhomogeneous media based on the operator Fourier transform functional calculus
Max Cubillos, Edwin Jimenez
This article presents novel numerical algorithms based on pseudodifferential operators for fast, direct, solution of the Helmholtz equation in 1D, 2D, and 3D inhomogeneous unbounde…
physics.comp-ph2021
Diffraction integral computation using sinc approximation
Max Cubillos, Edwin Jimenez
We propose a method based on sinc series approximations for computing the Rayleigh-Sommerfeld and Fresnel diffraction integrals of optics. The diffraction integrals are given in te…
math.NA2018
Modelling wave propagation without sampling restrictions using the multiplicative calculus I: Theoretical considerations
Max Cubillos
The multiplicative (or geometric) calculus is a non-Newtonian calculus derived from an arithmetic in which the operations of addition/subtraction/multiplication are replaced by mul…