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3D Analytical Solutions
Exact solutions for 3D acoustic scattering problems, primarily sphere scattering using Mie theory (spherical Bessel/Hankel functions).
Functions§
- classify_
regime - Classify scattering regime based on ka
- legendre_
p - Legendre polynomial Pₙ(x)
- plane_
wave_ 3d - 3D plane wave: p(x,y,z) = exp(ik·r)
- point_
source_ 3d - Point source (monopole): G(r) = exp(ikr)/(4πr)
- sphere_
rcs_ 3d - Radar Cross Section (RCS) for sphere
- sphere_
scattering_ 3d - Sphere scattering: rigid sphere in a plane wave (Mie theory)
- sphere_
scattering_ efficiency_ 3d - Scattering efficiency Q_scat = σ / (πa²)
- spherical_
bessel_ j - Spherical Bessel function jₙ(x)
- spherical_
bessel_ y - Spherical Bessel function yₙ(x) (Neumann function)