Helicity and Spin of Linearly Polarized Hermite-Gaussian Modes
The angular momentum content and propagation of linearly polarized Hermite-Gaussian modes are analyzed. The helicity gauge invariant continuity equation reveals that the helicity and flow in the direction of propagation are zero. However, the helicity flow exhibits nonvanishing transverse components...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2019/2080451 |
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| author | M. Fernandez-Guasti J. Hernández |
| author_facet | M. Fernandez-Guasti J. Hernández |
| author_sort | M. Fernandez-Guasti |
| collection | DOAJ |
| description | The angular momentum content and propagation of linearly polarized Hermite-Gaussian modes are analyzed. The helicity gauge invariant continuity equation reveals that the helicity and flow in the direction of propagation are zero. However, the helicity flow exhibits nonvanishing transverse components. These components have been recently described as photonic wheels. These intrinsic angular momentum terms, depending on the criterion, can be associated with spin or orbital momentum. The electric and magnetic contributions to the optical helicity will be shown to cancel out for Hermite-Gaussian modes. The helicity ϱAC here derived is consistent with the interpretation that it represents the projection of the angular momentum onto the direction of motion. |
| format | Article |
| id | doaj-art-f75dec9be7a04048a34691660ae0726a |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-f75dec9be7a04048a34691660ae0726a2025-02-03T05:46:37ZengWileyAdvances in Mathematical Physics1687-91201687-91392019-01-01201910.1155/2019/20804512080451Helicity and Spin of Linearly Polarized Hermite-Gaussian ModesM. Fernandez-Guasti0J. Hernández1Laboratorio de Óptica Cuántica, Departamento de Física, Universidad Autónoma Metropolitana - Iztapalapa, C.P. 09340 Ciudad de México, Ap. Postal. 55-534, MexicoLaboratorio de Óptica Cuántica, Departamento de Física, Universidad Autónoma Metropolitana - Iztapalapa, C.P. 09340 Ciudad de México, Ap. Postal. 55-534, MexicoThe angular momentum content and propagation of linearly polarized Hermite-Gaussian modes are analyzed. The helicity gauge invariant continuity equation reveals that the helicity and flow in the direction of propagation are zero. However, the helicity flow exhibits nonvanishing transverse components. These components have been recently described as photonic wheels. These intrinsic angular momentum terms, depending on the criterion, can be associated with spin or orbital momentum. The electric and magnetic contributions to the optical helicity will be shown to cancel out for Hermite-Gaussian modes. The helicity ϱAC here derived is consistent with the interpretation that it represents the projection of the angular momentum onto the direction of motion.http://dx.doi.org/10.1155/2019/2080451 |
| spellingShingle | M. Fernandez-Guasti J. Hernández Helicity and Spin of Linearly Polarized Hermite-Gaussian Modes Advances in Mathematical Physics |
| title | Helicity and Spin of Linearly Polarized Hermite-Gaussian Modes |
| title_full | Helicity and Spin of Linearly Polarized Hermite-Gaussian Modes |
| title_fullStr | Helicity and Spin of Linearly Polarized Hermite-Gaussian Modes |
| title_full_unstemmed | Helicity and Spin of Linearly Polarized Hermite-Gaussian Modes |
| title_short | Helicity and Spin of Linearly Polarized Hermite-Gaussian Modes |
| title_sort | helicity and spin of linearly polarized hermite gaussian modes |
| url | http://dx.doi.org/10.1155/2019/2080451 |
| work_keys_str_mv | AT mfernandezguasti helicityandspinoflinearlypolarizedhermitegaussianmodes AT jhernandez helicityandspinoflinearlypolarizedhermitegaussianmodes |