Shaping High-Order Diffraction-Free Beams Through Continuous Superposition of Bessel Beams
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929234328420352 |
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| author | Zamboni-Rached, Michel Nobre-Pereira, Jéssyca Quaglio, João |
| author_facet | Zamboni-Rached, Michel Nobre-Pereira, Jéssyca Quaglio, João |
| contents | Recognized for their non-diffracting properties, Bessel beams can be conveniently combined to generate the so-called Frozen Waves, which are monochromatic beams endowed with topological charge and whose longitudinal intensity pattern can be shaped according to a previously chosen function. Continuous superposition of Bessel beams is specially suitable for micrometer-scale domains, being highly relevant for applications in optical tweezers, particle trapping and atom guidance. Previous studies have successfully constructed micrometer Frozen Wave solutions with null topological charge; nevertheless, some challenges persist in obtaining exact solutions when dealing with higher topological charge values (i.e., higher-order micrometer Frozen Waves). Typically, a topological charge raising operator is used to elevate the order; however, such solutions face significant issues when the orders become excessively high. In this paper, based in continuous superposition of higher order Bessel beams, we develop a novel analytic and exact solution for higher-order micrometer Frozen Waves, so obtaining a method for modeling the intensity of beams with arbitrary topological charge within micrometer spatial domains. We also investigate the behavior of the electric field's longitudinal component in such highly non-paraxial regimes through a vectorial treatment. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_02828 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Shaping High-Order Diffraction-Free Beams Through Continuous Superposition of Bessel Beams Zamboni-Rached, Michel Nobre-Pereira, Jéssyca Quaglio, João Optics Recognized for their non-diffracting properties, Bessel beams can be conveniently combined to generate the so-called Frozen Waves, which are monochromatic beams endowed with topological charge and whose longitudinal intensity pattern can be shaped according to a previously chosen function. Continuous superposition of Bessel beams is specially suitable for micrometer-scale domains, being highly relevant for applications in optical tweezers, particle trapping and atom guidance. Previous studies have successfully constructed micrometer Frozen Wave solutions with null topological charge; nevertheless, some challenges persist in obtaining exact solutions when dealing with higher topological charge values (i.e., higher-order micrometer Frozen Waves). Typically, a topological charge raising operator is used to elevate the order; however, such solutions face significant issues when the orders become excessively high. In this paper, based in continuous superposition of higher order Bessel beams, we develop a novel analytic and exact solution for higher-order micrometer Frozen Waves, so obtaining a method for modeling the intensity of beams with arbitrary topological charge within micrometer spatial domains. We also investigate the behavior of the electric field's longitudinal component in such highly non-paraxial regimes through a vectorial treatment. |
| title | Shaping High-Order Diffraction-Free Beams Through Continuous Superposition of Bessel Beams |
| topic | Optics |
| url | https://arxiv.org/abs/2402.02828 |