title: Arbitrary shape surface Fresnel diffraction.
abstract: Fresnel diffraction calculation on an arbitrary shape surface is proposed. This method is capable of calculating Fresnel diffraction from a source surface with an arbitrary shape to a planar destination surface. Although such calculation can be readily calculated by the direct integral of a diffraction calculation, the calculation cost is proportional to O(N²) in one dimensional or O(N⁴) in two dimensional cases, where N is the number of sampling points. However, the calculation cost of the proposed method is O(N log N) in one dimensional or O(N² log N) in two dimensional cases using non-uniform fast Fourier transform.
authors.affiliation: Graduate School of Engineering, Chiba University, 1-33 Yayoi-cho, Inage-ku, Chiba 263-8522, Japan. shimobaba@faculty.chiba-u.jp
authors.forename: Tomoyoshi
authors.initials: T
authors.lastname: Shimobaba
authors.forename: Nobuyuki
authors.initials: N
authors.lastname: Masuda
authors.forename: Tomoyoshi
authors.initials: T
authors.lastname: Ito