Plane Wave Spectrum of 2D Complex Beams

A unified and generalized formulation for the complexspatial point source beam solutions of the Helmholtz wave equation in the spatial and the Fourier-spectral domains for both, 3D and 2D scenarios, is presented in this paper. This general formulation is based on the description of the solutions in terms of complex distances and complex angles, emphasizing the physical meaning of these complex quantities and the relationship between spatial and spectral representations.

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3d Complex Beams in the Spatial and the Spectral Domains

González-Morales

Mahillo-Isla

Gago-Ribas

et al. 2010

Journal of Electromagnetic Waves and Applications

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Scattering for Charged Multisphere Structure Located in Plane Wave/Gaussian Beam

Liu

2010

Journal of Electromagnetic Waves and Applications

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Complex Polar Coordinates in Electromagnetics

González-Morales¹,

Mahillo-Isla²,

Gago-Ribas³

et al. 2011

Journal of Electromagnetic Waves and Applications

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The definition of a complex polar coordinate system that unifies complex distances and complex angles together with their relations with the real observation space is presented in this paper. Its utility is shown through some applications to electromagnetic problems: (i) new solutions are obtained from well-known solutions in real polar coordinates, (ii) the parameterization of the real space in terms of the complex polar coordinates helps to understand the physical behaviour of those solutions, and (iii) the results provide a better physical insight of the complex distances and angles.

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Plane Wave Spectrum of 2D Complex Beams

Cited by 6 publications

References 9 publications

3d Complex Beams in the Spatial and the Spectral Domains

3d Complex Beams in the Spatial and the Spectral Domains

Scattering for Charged Multisphere Structure Located in Plane Wave/Gaussian Beam

Complex Polar Coordinates in Electromagnetics

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