Ince Polynomials

Version 1.2 (3.97 KB) by Miguel A. Bandres
Calculate the Ince polynomials of the Ince equation
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Updated 20 Nov 2014

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The Ince equation,
d^2F/dz^2 + q*sin(2z)dF/dz+(\eta p*q*cos(2z))*F=0,

is a periodic linear second-order differential equation that has two families of independent solutions: the even C^{m}_p(z,q) and odd S^{m}_p(z,q) Ince polynomials of order p and degree m, and parameter q. These functions calculate the Ince polynomials.

For more information about Ince Polynomial:

Miguel A. Bandres and Julio C. Gutiérrez-Vega, "Ince-Gaussian modes of the paraxial wave equation and stable resonators"
Journal of the Optical Society of America A, 21(5), 873-880 (2004)
( http://goo.gl/rqq7nQ )

Cite As

Miguel A. Bandres (2024). Ince Polynomials (https://www.mathworks.com/matlabcentral/fileexchange/44932-ince-polynomials), MATLAB Central File Exchange. Retrieved .

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Version Published Release Notes
1.2

Updated to Toolbox.
1.0.0.0