Mode solver theory

[Tommie Verouden]

For my master’s graduation project, I have been working on fiber mode calculations. Recently, I ran into an article on the Optiwave support site that seems to solve some of the numerical troubles I had been having with solving the dispersion relations: <a href=”https://optiwave.com/optifiber-manuals/optical-fiber-fiber-mode-solvers/”>https://optiwave.com/optifiber-manuals/optical-fiber-fiber-mode-solvers/</a&gt;
. However, implementing the model in Wolfram Mathematica (see attachment), yields different results than in the article.

I tried the given example geometry: a step index fiber with radius 2 um, core index 1.46, cladding index 1.45, order 0 and wavelength 0.5 um. The resulting effective indices should be about 1.45495, but my calculations give two indices around 1.45875. On top of that, the resulting equations seem to be a few orders of magnitude smaller.

Thank you in advance for your help, I hope you can point me in the right direction.

[Ahmad Atieh]

This is a duplicate post.

[Ahmad Atieh]

This is a duplicate post.

[Sawyer Ge]

Apologies, I was not directed the post when I clicked submit, so I assumed that the wrong file type had caused a submit error and tried again. Please find attached a zip file containing the Mathematica notebook.

[Winona Blackwelder]

Apologies, I was not directed the post when I clicked submit, so I assumed that the wrong file type had caused a submit error and tried again. Please find attached a zip file containing the Mathematica notebook.

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