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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 14, Iss. 15 — Jul. 24, 2006
  • pp: 6894–6905

New basis for rotationally symmetric nonparaxial fields in terms of spherical waves with complex foci

Miguel A. Alonso, Riccardo Borghi, and Massimo Santarsiero  »View Author Affiliations

Optics Express, Vol. 14, Issue 15, pp. 6894-6905 (2006)

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A scheme for computing rotationally-symmetric nonparaxial monochromatic scalar fields is proposed, based on a new orthonormal basis of solutions of the Helmholtz equation given by combinations of spherical waves focused at imaginary points. These basis fields are found through a mapping of the angular spectra of the multipolar basis over the sphere of directions. The convergence of the basis can be optimized by an appropriate choice of the location of the imaginary focus. The new scheme is tested for the case of converging spherical waves of different numerical apertures, with and without aberrations.

© 2006 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(260.0260) Physical optics : Physical optics
(260.1960) Physical optics : Diffraction theory

ToC Category:
Physical Optics

Original Manuscript: March 6, 2006
Revised Manuscript: July 11, 2006
Manuscript Accepted: July 12, 2006
Published: July 24, 2006

Miguel A. Alonso, Riccardo Borghi, and Massimo Santarsiero, "New basis for rotationally symmetric nonparaxial fields in terms of spherical waves with complex foci," Opt. Express 14, 6894-6905 (2006)

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