1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Finding the zeros of a complex function in PyLab

  1. Jun 22, 2014 #1
    I have this characteristic equation for the wave number eigenvalues [itex] k_n [/itex] of a homogeneous infinte cylinder of radius R:

    [itex] D_{m} = (k_n R) = 0, [/itex]

    where

    [itex] D_m (z) = n_r J'_m(n_r z)H_m(z) - J_m(n_r z)H'_m(z) [/itex]

    and [itex] n_r [/itex] is the refractive index of the cylinder, the bessel and hankel functions are both of the first kind, and z is a complex argument. I'm not sure how I can solve for the zeros of this. I've been using PyLab, but haven't found any clues as to what I should do.

    The article I'm working from is: http://arxiv.org/abs/1302.0245
    These are equations (18) and (19) from the article

    I'm new to this, so I may be trying something ridiculous.
     
  2. jcsd
  3. Jun 23, 2014 #2
    An even simpler statement of my problem: How can I find the zeros of a complex function in PyLab? Most sources I've found haven't helped.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted



Similar Discussions: Finding the zeros of a complex function in PyLab
Loading...