A systematic procedure for deriving the complete asymptotic series in inverse powers of the distance from the origin of free-space 2D and 3D, scalar and vectorial, monochromatic electromagnetic fields is derived here. Each term of the series is expressed in closed form through the use of a differential operator acting on the angular spectrum. A simple recursive routine for computing the derivatives is provided. Examples of application are also given.
© 2009 Optical Society of America
Original Manuscript: June 24, 2009
Manuscript Accepted: September 9, 2009
Published: October 19, 2009
Riccardo Borghi and Miguel A. Alonso, "Free-space asymptotic far-field series," J. Opt. Soc. Am. A 26, 2410-2417 (2009)