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Fields of a Gaussian beam beyond the paraxial approximation

Original authors: Y. I. Salamin

Link to paper: https://link.springer.com/article/10.1007/s00340-006-2442-4

Notebook by: Óscar Amaro

In this notebook we reproduce Figures 2a, 2b and 3 in a Jupyter notebook.

Abstract: Analytic expressions for the fields of a tightly focused Gaussian laser beam are derived, accurate to ε11, where ε is the diffraction angle. It is found that, for example, using the derived fields, the calculated power can be about 25% more accurate than when calculated using the paraxial approximation for a beam focused down to a waist radius w0∼0.4λ, where λ is the wavelength.

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