Bases for the description of monochromatic, strongly focused, scalar fields.
Two bases (one biorthogonal and one orthonormal) are proposed for the expansion of strongly focused (high numerical aperture) scalar monochromatic fields. The performance of these bases is tested and compared, both with each other and with a similar basis proposed by Alonso et al. [Opt. Express14, 6894 (2006)]. It is found that the orthonormal basis proposed herein exhibits the lowest truncation error of these three bases for the same truncation order for the examples considered. Additionally, this basis is advantageous because it allows for the expansion of fields without rotational symmetry.
Moore
Nicole J
NJ
The Institute of Optics, University of Rochester, Rochester, NY 14627, USA. moorenj@beloit.edu
Alonso
Miguel A
MA