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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 10 — May. 9, 2011
  • pp: 9201–9212

Focusing a TM01 beam with a slightly tilted parabolic mirror

Alexandre April, Pierrick Bilodeau, and Michel Piché  »View Author Affiliations

Optics Express, Vol. 19, Issue 10, pp. 9201-9212 (2011)

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A parabolic mirror illuminated with an incident collimated beam whose axis of propagation does not exactly coincide with the axis of revolution of the mirror shows distortion and strong coma. To understand the behavior of such a focused beam, a detailed description of the electric field in the focal region of a parabolic mirror illuminated with a beam having a nonzero angle of incidence is required. We use the Richards–Wolf vector field equation to investigate the electric energy density distribution of a beam focused with a parabolic mirror. The explicit aberration function of this focused field is provided along with numerically calculated electric energy densities in the focal region for different angles of incidence. The location of the peak intensity, the Strehl ratio and the full-width at half-maximum as a function of the angle of incidence are given and discussed. The results confirm that the focal spot of a strongly focused beam is affected by severe coma, even for very small tilting of the mirror. This analysis provides a clearer understanding of the effect of the angle of incidence on the focusing properties of a parabolic mirror as such a focusing device is of growing interest in microscopy.

© 2011 OSA

OCIS Codes
(080.1010) Geometric optics : Aberrations (global)
(230.4040) Optical devices : Mirrors
(260.1960) Physical optics : Diffraction theory
(260.5430) Physical optics : Polarization
(350.5500) Other areas of optics : Propagation
(140.3295) Lasers and laser optics : Laser beam characterization

ToC Category:
Physical Optics

Original Manuscript: March 8, 2011
Revised Manuscript: April 17, 2011
Manuscript Accepted: April 18, 2011
Published: April 26, 2011

Virtual Issues
Vol. 6, Iss. 6 Virtual Journal for Biomedical Optics

Alexandre April, Pierrick Bilodeau, and Michel Piché, "Focusing a TM01 beam with a slightly tilted parabolic mirror," Opt. Express 19, 9201-9212 (2011)

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