Unidirectional pulses: relatively undistorted quasi-spherical waves, Fourier-Bessel integrals, and plane-waves decompositions
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929339535196160 |
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| author | Plachenov, Alexandr B. Kiselev, Aleksei. P. |
| author_facet | Plachenov, Alexandr B. Kiselev, Aleksei. P. |
| contents | A theoretical description of a class of unidirectional axisymmetric localized pulses, is given. The equivalence of their representations in the form of relatively undistorted quasi-spherical waves, in the form of Fourier-Bessel integrals and in the form of a superposition of plane waves with wave vectors having positive projections on a given direction is established. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2403_09694 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Unidirectional pulses: relatively undistorted quasi-spherical waves, Fourier-Bessel integrals, and plane-waves decompositions Plachenov, Alexandr B. Kiselev, Aleksei. P. General Mathematics Optics 78A10 A theoretical description of a class of unidirectional axisymmetric localized pulses, is given. The equivalence of their representations in the form of relatively undistorted quasi-spherical waves, in the form of Fourier-Bessel integrals and in the form of a superposition of plane waves with wave vectors having positive projections on a given direction is established. |
| title | Unidirectional pulses: relatively undistorted quasi-spherical waves, Fourier-Bessel integrals, and plane-waves decompositions |
| topic | General Mathematics Optics 78A10 |
| url | https://arxiv.org/abs/2403.09694 |