Focus wave modes in homogeneous Maxwell's equations - TE-MODE

Brittingham, J.N.

doi:10.1109/aps.1982.1148820

Cited by 4 publications

(4 citation statements)

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“…The distortion-free solutions of the wave equation, known to mathematicians for a long time [1], were ignored by physicists and engineers until the independent publications in 1983 by Brittingham [2] (who coined the term focus wave mode) and by Kiselev [3]. Then, expectations were great to generate beams with Gaussian transverse structure and propagating without distortion.…”

Section: Discussionmentioning

confidence: 99%

Current sensor utilizing a fiber-optic waveguide

Kozel¹,

Kreopalov²,

Listvin³

et al. 1983

Sov. J. Quantum Electron.

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We analyse the behaviour of a focus wave mode incident on a dielectric plane. The Descartes-Snell law is valid for the reflected beam but the refracted beam undergoes a Goos-Hänken shift and propagates in the direction of the incident focus wave mode. The Fresnel coefficients do not depend on the angle of incidence. Onde-flèche sur un interface diélectriqueRésumé. On analyse le comportement d'une onde-flèche incidente sur un diélectric plan. La loi de Descartes-Snell est valide pour le faisceau réfléchi mais le faisceau diffracté subit un déplacement de Goos-Hänken et poursuit sa propagation dans la direction de la flèche incidente. Les coefficients de Fresnel ne dépendent pas de l'angle d'incidence.

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Section: Discussionmentioning

confidence: 99%

Current sensor utilizing a fiber-optic waveguide

Kozel¹,

Kreopalov²,

Listvin³

et al. 1983

Sov. J. Quantum Electron.

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“…A TM mode can be obtained by exchanging the electric and magnetic fields. Brittingham [4][5][6] proposed a function (ψ B ) that satisfies the vacuum wave Equation 1 whose solutions to Maxwell equations are spatially localized electromagnetic pulses that propagate at the speed of light: ψ B = f 0B exp(−γs + imφ)r m (iτ + q 1 ) −m−1 (5) where s = r 2 iτ +q 1 − i(ct + z), τ = z − ct, (r, φ, z) are the cylindrical coordinates; f 0B is a normalizing constant; m is the azimuthal index (or topological charge); and finally, γ, α, and q 1 are positive parameters.…”

Section: Introductionmentioning

confidence: 99%

Few-cycle Electromagnetic Pulses with Finite Energy and Bounded Angular Momentum: Analysis of the Skyrmionic Texture at Focal Plane

Carretero¹,

Acebal²,

Blaya³

2022

PIER

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Exact solutions to Maxwell equations with topological charge based on a modification to Brittingham's single cycle pulses are analyzed demonstrating that they have finite values of energy, momentum, and angular momentum. Moreover, the ratio of angular momentum to energy is bounded due to the dependence of the mean frequency on topological charge. We have also analyzed the skyrmionic texture of the electric and magnetic fields showing that it is possible to obtain skyrmionic numbers higher than the one for the magnetic field by means of a superposition of pulses with different topological charges and null skyrmionic number.

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“…Flying Donuts were introduced in the context of Brittingham's work on "focus wave modes" (1983) where he described a new class of wideband non-diffracting pulses, localized solutions to Maxwell's equations [6]. Soon after, R. W. Ziolkowski showed that, although "focus wave modes" are unphysical and have infinite energy [7], a finite energy pulse can be constructed from superposition of such modes [8].…”

Section: Introductionmentioning

confidence: 99%

Space-time nonseparable pulses: Constructing isodiffracting donut pulses from plane waves and single-cycle pulses

et al. 2020

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Maxwell's equations can be satisfied not only by plane electromagnetic waves, but also by more exotic space-time non-separable electromagnetic pulses which cannot be represented as a product of time and space dependent functions. A family of such pulses with finite energy was identified by R. Ziolkowski in 1985. Later R. W. Hellwarth and P. Nouchi highlighted a subset of Ziolkowski's pulses, now known as Flying Donuts, a formation of polarization singularities of toroidal topology traveling at the speed of light. Spurred by recent advances in ultrafast and topological optics, space-time non-separable electromagnetic excitations are now becoming the focus of growing experimental efforts as they hold promise for topological information transfer, probing and inducing transient excitations in matter such as anapole and toroidal modes. Many practical questions are yet to be answered regarding their generation, detection and light-matter interactions. Here we demonstrate that the Flying Donut is bandwidth limited and can be constructed from an ensemble of monochromatic plane waves with continuous spatial and frequency spectrum and hence can be generated by converting broadband conventional transverse electromagnetic pulses.

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Focus wave modes in homogeneous Maxwell's equations - TE-MODE

Cited by 4 publications

References 0 publications

Current sensor utilizing a fiber-optic waveguide

Current sensor utilizing a fiber-optic waveguide

Few-cycle Electromagnetic Pulses with Finite Energy and Bounded Angular Momentum: Analysis of the Skyrmionic Texture at Focal Plane

Space-time nonseparable pulses: Constructing isodiffracting donut pulses from plane waves and single-cycle pulses

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