Crate math_wave 

Analytical solutions for wave and Helmholtz equations

This crate provides exact analytical solutions to wave propagation and scattering problems, useful for validating numerical solvers (BEM, FEM).

Features

• 1D solutions: Plane waves, standing waves, damped waves
• 2D solutions: Cylinder scattering (Bessel/Hankel series)
• 3D solutions: Sphere scattering (Mie theory)
• Special functions: Spherical Bessel/Hankel, Legendre polynomials
• Green’s functions: Helmholtz kernel and derivatives

Example

use math_wave::analytical::{plane_wave_1d, sphere_scattering_3d};
use std::f64::consts::PI;

// 1D plane wave
let wave = plane_wave_1d(1.0, 0.0, 2.0 * PI, 100);
assert_eq!(wave.pressure.len(), 100);

// 3D sphere scattering
let scatter = sphere_scattering_3d(1.0, 1.0, 20, vec![2.0], vec![0.0, PI/2.0]);
assert!(scatter.pressure[0].norm() > 0.0);

Re-exports

pub use analytical::AnalyticalSolution;

pub use analytical::Point;

Modules

analytical

Analytical solutions for wave equation validation

special

Special mathematical functions for wave equations