Solve complex roots for a dispersion equation with complex coefficients
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Hello,
I am solving a equation as follows,
1=((n+N)/n) * k * tanh(k*h)
where N is a known complex number (e.g. 2+3i), h and n is two known real constants.
I am trying to solve the k, which are infinite complex roots (e.g. a+bi).
I was trying to use Newton-Raphson method to solve it. However, without a good guess, I couldn't get the solutions. Also, since there are infinite k, I have no idea how to give infinite initial guess.
I would appreciate any ideas. Thanks a lot.
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