what is the bessel function used for
Bessel's functions are often used in acoustics for describing circular membranes behaviour (exploited by most of the musical instruments). They are the solutions of the wave equations using polar coordinates. Set the properties of the membrane Bessel's functions describe the vibrational modes of the membrane.
Beno Zerr Â· ENSTA Bretagne. Bessel functions are used to solve in 3D the wave equation at a given (harmonic) frequency. The solution is generally a sum of spherical bessels functions that gives the acoustic pressure at a given location of the 3D space.