Paraxial Approximation -- from Eric Weisstein's World of Physics

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Paraxial Approximation

The paraxial approximation is an approximation to the full equations of optics that is valid in the limit of small angles from the optical axis. In the above figure (Schroeder 1999, p. 6, Fig. 2.1), primes represent image angles and distances, and unprimed represent the object, with n the index of refraction to the left of the y-axis and the index of refraction to the right of the y-axis. The paraxial approximation then assumes that

(1)
(2)
(3)

where may be any of i, , u, , or . This regime is known as first-order, paraxial, or Gaussian optics.

Gaussian Optics, Optics, Paraxial Refraction




References

Hecht, E. Optics, 3rd ed. Reading, MA: Addison-Wesley, 1998.

Schroeder, D. J. Astronomical Optics, 2nd ed. San Diego, CA: Academic Press, 1999.



© 1996-2007 Eric W. Weisstein

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