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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 39, Iss. 34 — Dec. 1, 2000
  • pp: 6519–6521

Normalized Parameter Relating the Spherical Aberration of a Thin Lens to the Diffraction Limit and Fiber Coupling Efficiency

Matt Young  »View Author Affiliations


Applied Optics, Vol. 39, Issue 34, pp. 6519-6521 (2000)
http://dx.doi.org/10.1364/AO.39.006519


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Abstract

In this paper, we calculate the transverse spherical aberration TA of a thin lens and defines a normalized aberration Y equal to TA divided by the theoretical resolution limit. As a rule of thumb, (a) a thin lens that suffers only from spherical aberration may be considered effectively diffraction-limited as long as Y < 1.6. Similarly, (b) the coupling efficiency of a Gaussian beam to a single-mode fiber may be high even when Y > 1.6, and, specifically, (c) the lens need be diffraction-limited only over a radius approximately equal to the radius (to the 1/e-point) of the Gaussian beam.

© 2000 Optical Society of America

Citation
Matt Young, "Normalized Parameter Relating the Spherical Aberration of a Thin Lens to the Diffraction Limit and Fiber Coupling Efficiency," Appl. Opt. 39, 6519-6521 (2000)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-39-34-6519

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