Zobrazeno 1 - 10
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pro vyhledávání: '"Garcia, Benjamin A"'
Fibered Burnside rings appear as Grothendieck rings of fibered permutation representations of a finite group, generalizing Burnside rings and monomial representation rings. Their species, primitive idempotents and their conductors are of particular i
Externí odkaz:
http://arxiv.org/abs/2406.14513
Autor:
Rodríguez-Fajardo, Valeria, Flores-Cova, Gabriela, Rosales-Guzmán, Carmelo, Perez-Garcia, Benjamin
In this manuscript, we put forward two new types of structured light beams, the vortex Pearcey-Gauss (VPeG) beam, with a homogeneous polarisation distribution, and the vector vortex Pearcey-Gauss (VVPeG) beam, with a non-homogeneous polarisation dist
Externí odkaz:
http://arxiv.org/abs/2405.15183
Autor:
Medina-Segura, Edgar, Miranda-Culin, Leonardo, Perez-García, Benjamin, Rosales-Guzmán, Carmelo, Cox, Mitchell A.
Vector modes are well-defined field distributions with spatially varying polarisation states, rendering them irreducible to the product of a single spatial mode and a single polarisation state. Traditionally, the spatial degree of freedom of vector m
Externí odkaz:
http://arxiv.org/abs/2405.08207
Autor:
Rodríguez-Fajardo, Valeria, Arvizu, Fernanda, Daza-Salgado, Dayver, Perez-Garcia, Benjamin, Rosales-Guzmán, Carmelo
In this manuscript, we propose the generation of complex vector beams with high quality and stability based on a novel approach that relies on the combination of two techniques that seem incompatible at first glance. The first is Complex Amplitude Mo
Externí odkaz:
http://arxiv.org/abs/2311.12250
Autor:
Medina-Segura, Edgar, Mecillas-Hernandez, Francisco I., Konrad, Thomas, Rosales-Guzmán, Carmelo, Perez-García, Benjamin
Vector beams display varying polarisation over planes transversal to their direction of propagation. The variation of polarisation implies that the electric field cannot be expressed as a product of a spatial mode and its polarisation. This non-separ
Externí odkaz:
http://arxiv.org/abs/2307.04078
Autor:
Medina-Segura, Edgar, Miranda-Culin, Leonardo, Rodríguez-Fajardo, Valeria, Perez-Garcia, Benjamin, Rosales-Guzmán, Carmelo
In this work, we propose and demonstrate experimentally a new family of vector beams, the Helico-Conical Vector Beams (HCVB), whose spatial degree of freedom is encoded in the Helico-Conical Optical Beams. We use Stokes polarimetry to study their pro
Externí odkaz:
http://arxiv.org/abs/2306.13849
Autor:
Boltje, Robert, García, Benjamín
Let $G$ and $H$ be finite groups. We give a condition on $G$ and $H$ that implies that the $A$-fibered Burnside rings $B^A(G)$ and $B^A(H)$ are isomorphic. As a consequence, we show the existence of non-isomorphic groups $G$ and $H$ such that $B^A(G)
Externí odkaz:
http://arxiv.org/abs/2209.11692
Autor:
Boltje, Robert, García, Benjamín
In this article, we propose a concept of anti-involution for Green biset functors and we provide equivalent definitions. We present $\star$-Green biset functors and we study their orthogonal units and the orthogonal automorphisms in their associated
Externí odkaz:
http://arxiv.org/abs/2208.07494
Complex vector modes of light, non-separable in their spatial and polarisation degrees of freedom, are revolutionising a wide variety of research fields. It is therefore not surprising that the generation techniques have evolved quite dramatically si
Externí odkaz:
http://arxiv.org/abs/2204.13252
Publikováno v:
In Latin American Journal of Central Banking September 2024 5(3)