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Electromagnetic Waves, Axial Symmetry
Posted Mar 16, 2017, 6:52 a.m. EDT Low-Frequency Electromagnetics 3 Replies
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Can one specify a linearly polarized incoming (plane) wave for a geometry based on axial symmetry?
For instance if the incoming wave enters along the z-axis through a surface in the x-y plane . The polarization needs to be orthogonal to the z-axis. The only options are radial polarization and azimuthal (phi) polarization, and linear combinations. Neither represents the right physics - a linear polarized beam. (Radial polarization implies a line charge, azimuthal polarization a changing magnetic field in the z-direction).
Put another way - the linearly polarized field would break the axial symmetry; to represent a linear polarization as a sum of azimuthal and radial polarizations, the components must depend on the azimuthal coordinate (phi).
Is the only solution then a full three-dimensional geometry? We are hoping to avoid this.
For instance if the incoming wave enters along the z-axis through a surface in the x-y plane . The polarization needs to be orthogonal to the z-axis. The only options are radial polarization and azimuthal (phi) polarization, and linear combinations. Neither represents the right physics - a linear polarized beam. (Radial polarization implies a line charge, azimuthal polarization a changing magnetic field in the z-direction).
Put another way - the linearly polarized field would break the axial symmetry; to represent a linear polarization as a sum of azimuthal and radial polarizations, the components must depend on the azimuthal coordinate (phi).
Is the only solution then a full three-dimensional geometry? We are hoping to avoid this.
3 Replies Last Post Mar 18, 2017, 7:07 p.m. EDT