Equivalent to a 2-D Fourier Transform with a radially symmetric Kernel, and also
called the Fourier-Bessel Transform.

(1) |

(2) | |||

(3) |

so that

(4) | |||

(5) | |||

(6) |

(7) | |||

(8) | |||

(9) |

Then

(10) |

where is a zeroth order Bessel Function of the First Kind. Therefore, the Hankel transform pairs are

(11) |

(12) |

**References**

Arfken, G. *Mathematical Methods for Physicists, 3rd ed.* Orlando, FL: Academic Press, p. 795, 1985.

Bracewell, R. *The Fourier Transform and Its Applications.* New York: McGraw-Hill, pp. 244-250, 1965.

© 1996-9

1999-05-25