A quasi-discrete Hankel transform (QDHT) is presented as a new and efficient framework for numerical evaluation of the zero-order Hankel transform. A discrete form of Parseval's theorem is obtained for the first time to the authors' knowledge, and the transform matrix is discussed. It is shown that the S factor, defined as the products of a truncated radius, is critical to building the QDHT.
© 1998 Optical Society of america
Li Yu, Meichun Huang, Mouzhi Chen, Wenzhong Chen, Wenda Huang, and Zhizhong Zhu, "Quasi-discrete Hankel transform," Opt. Lett. 23, 409-411 (1998)