Mostly equation for the electric field of a linearly polarized Laguerre-Gaussian continuous wave laser beam found in literature but none of the equation for magnetic field is given, how can we found them or how can we evaluate them for magnetic field?
Hello,
If there is a certain equation for electric field of laser beam, you can use Maxwell equations to obtain an equation for magnetic field. you can solve them for vacuum to avoid complexity and it will be very good approximation when medium be air.
https://cds.cern.ch/record/796806/files/0410021.pdf
In this paper the axial components of the fields are neglected, I think, or at least the vector components are not treated individually, and in this approximation the magnetic and electric fields have the same distribution.
More exact E-fields but not sure if H fields are here
https://iopscience.iop.org/article/10.1088/2040-8986/aadc8a/pdf
You may be able to get the magnetic fields from around equation 2.126 of this.
https://core.ac.uk/download/pdf/84119148.pdf
but maybe it just assumes the magnetic field distribution is the same as the electric field distribution!
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