Propagation of the Lissajous singularity dipole emergent from non-paraxial polychromatic beams

Chen, Haitao; Gao, Zenghui; Wang, Wanqing

doi:10.1016/j.optcom.2017.02.012

Cited by 2 publications

(3 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The beam with wavelength centered at 775 nm was propagated trough the arm A1 and transmitted through the lens L 2 , with focal length of f = 20 cm, forming a telescope with F 1 to magnify the beam by a factor of ∼ ×1. 33.…”

Section: Experimental Implementationmentioning

confidence: 99%

“…However, general electromagnetic fields are not subject to this restriction: as a simple example, a three-fold rotational symmetry is possible by combining a circularly-polarized field with a counter-rotating second harmonic [27,28], a configuration that forms a socalled 'bicircular' [29] trefoil-shaped Lissajous figure. The Lissajous singularities of bichromatic fields have been the object of some study [30][31][32][33], but their rotational properties have thus far largely gone unexplored.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Knotting fractional-order knots with the polarization state of light

et al. 2019

View full text Add to dashboard Cite

The fundamental polarization singularities of monochromatic light are normally associated with invariance under coordinated rotations: symmetry operations that rotate the spatial dependence of an electromagnetic field by an angle θ and its polarization by a multiple γθ of that angle. These symmetries are generated by mixed angular momenta of the form J γ = L + γS and they generally induce Möbius-strip topologies, with the coordination parameter γ restricted to integer and half-integer values. In this work we construct beams of light that are invariant under coordinated rotations for arbitrary γ, by exploiting the higher internal symmetry of 'bicircular' superpositions of counter-rotating circularly polarized beams at different frequencies. We show that these beams have the topology of a torus knot, which reflects the subgroup generated by the torus-knot angular momentum J γ , and we characterize the resulting optical polarization singularity using third-and higher-order field moment tensors, which we experimentally observe using nonlinear polarization tomography. istry MINECO (National Plan 15 Grant: FISICATEAMO No.

show abstract

Section: Experimental Implementationmentioning

confidence: 99%

mentioning

confidence: 99%

Knotting fractional-order knots with the polarization state of light

et al. 2019

View full text Add to dashboard Cite

show abstract

“…For example, a mixed state corresponding to a pair of paraxial photons (N = 4), the density matrix involves 4 2 − 1 = 15 degrees of freedom, and this number goes up to 6 2 − 1 = 35 if we look at the nonparaxial situation (N = 6). • A second case is that of bichromatic (or multichromatic) fields [142][143][144][145] resulting, for example, from nonlinear harmonic generation. In their fully polarized form, these fields are composed of two frequencies, one being twice (or some other rational multiple of) the other.…”

Section: Higher Dimensionsmentioning

confidence: 99%

Geometric descriptions for the polarization of nonparaxial light: a tutorial

Alonso

2023

Adv. Opt. Photon.

View full text Add to dashboard Cite

This tutorial provides an overview of the local description of polarization for nonparaxial light, for which all Cartesian components of the electric field are significant. The polarization of light at each point is characterized by a three-component complex vector in the case of full polarization and by a 3 × 3 polarization matrix for partial polarization. Standard concepts for paraxial polarization such as the degree of polarization, the Stokes parameters, and the Poincaré sphere then have generalizations for nonparaxial light that are not unique and/or not trivial. This work aims to clarify some of these discrepancies, present some new concepts, and provide a framework that highlights the similarities and differences with the description for the paraxial regimes. Particular emphasis is placed on geometric interpretations.

show abstract

Propagation of the Lissajous singularity dipole emergent from non-paraxial polychromatic beams

Cited by 2 publications

References 18 publications

Knotting fractional-order knots with the polarization state of light

Knotting fractional-order knots with the polarization state of light

Geometric descriptions for the polarization of nonparaxial light: a tutorial

Contact Info

Product

Resources

About