How do I generate Mathieu functions in Matlab ?

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mkassa
mkassa le 26 Jan 2018
Modifié(e) : mkassa le 26 Jan 2018
The besselj function in Matlab has been a great tool for using bessel functions. It appears there are no equivalent tools for Mathieu functions.
I am trying to reproduce the figure below (Source: http://optica.mty.itesm.mx/pmog/Papers/P001.pdf), which is the even modified Mathieu function of 0-order as a function of q (for fixed epsilon_o = 0.693).
How can I go about achieving this on Matlab ? Ultimately, I would like to adapt the script for odd functions and higher orders.
(for context, s=0:0.1:15;plot(s,besselj(s,0.693)) would be all I'd need if it was a first order bessel function)

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