## Bases for the description of monochromatic, strongly focused, scalar fields

JOSA A, Vol. 26, Issue 7, pp. 1754-1761 (2009)

http://dx.doi.org/10.1364/JOSAA.26.001754

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### Abstract

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. Express
14, 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.

© 2009 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

**History**

Original Manuscript: February 10, 2009

Manuscript Accepted: May 2, 2009

Published: June 30, 2009

**Citation**

Nicole J. Moore and Miguel A. Alonso, "Bases for the description of monochromatic, strongly focused, scalar fields," J. Opt. Soc. Am. A **26**, 1754-1761 (2009)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-26-7-1754

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