The vector Durnin–Whitney beam
| Autor: | Omar de Jesús Cabrera-Rosas, Citlalli Teresa Sosa-Sánchez, Ernesto Espíndola-Ramos, Gilberto Silva-Ortigoza, Israel Julián-Macías |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics
business.industry Eikonal equation Scalar (mathematics) 01 natural sciences Atomic and Molecular Physics and Optics Electronic Optical and Magnetic Materials 010309 optics symbols.namesake Optics Exact solutions in general relativity Maxwell's equations 0103 physical sciences symbols Bessel beam Vector field Computer Vision and Pattern Recognition Nabla symbol business Bessel function Mathematical physics |
| Zdroj: | Journal of the Optical Society of America A. 37:294 |
| ISSN: | 1520-8532 1084-7529 |
| DOI: | 10.1364/josaa.376545 |
| Popis: | We show that ( E , H ) = ( E 0 , H 0 ) e i [ k 0 S ( r ) − ω t ] is an exact solution to the Maxwell equations in free space if and only if { E 0 , H 0 , ∇ S } form a mutually perpendicular, right-handed set and S ( r ) is a solution to both the eikonal and Laplace equations. By using a family of solutions to both the eikonal and Laplace equations and the superposition principle, we define new solutions to the Maxwell equations. We show that the vector Durnin beams are particular examples of this type of construction. We introduce the vector Durnin–Whitney beams characterized by locally stable caustics, fold and cusp ridge types. These vector fields are a natural generalization of the vector Bessel beams. Furthermore, the scalar Durnin–Whitney–Gauss beams and their associated caustics are also obtained. We find that the caustics qualitatively describe, except for the zero-order vector Bessel beam, the corresponding maxima of the intensity patterns. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|