The dynamics of compact laser pulses

Goto, Shimpei; Tucker, Robin; Walton, Timothy

doi:10.1088/1751-8113/49/26/265203

Cited by 5 publications

(7 citation statements)

References 34 publications

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“…A choice of values for the dimensionless parameters { 0 , a, b, q, m 0 } can be used to solve (23) numerically for a collection of trajectories for charged particles, each arranged initially around the circumference of a circle in a plane orthogonal to the propagation axis of incident CM type electromagnetic pulses with different chirality. The resulting space-curves in 3-dimensions, displayed in figure 1 clearly exhibit the different responses of charged matter to CM pulses with distinct chirality values [10]. Similar space-curves arise from charged particles interacting with chiral CE type modes.…”

Section: Electromagnetic Pulses In Spacetime Vacuamentioning

confidence: 86%

“…More generally, the classical configurations of a high energy pulse labelled CE or CM could be distinguished experimentally by its interaction with different arrangements of charged matter. Particular choices of pulse parameters { 0 , a, b} can be made to model the physical characteristics of existing laser pulses and have been used, for electromagnetic micropulses of duration t 0 with Et 0 , to model an effective description of general non-stationary quantum states of a laser pulse [10]. It is suggested that such a description may have utility for simulating a novel transfer of quantum information and may be worthy of further investigation for technological applications such as quantum computing and encryption.…”

Section: Electromagnetic Pulses In Spacetime Vacuamentioning

confidence: 99%

See 1 more Smart Citation

Scalar Pre-potentials for Spinor and Tensor Fields on Spacetime

Tucker,

Walton

2021

Preprint

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We review a technique for solving a class of classical linear partial differential systems of relevance to physics in Minkowski spacetime. All the equations are amenable to analysis in terms of complex solutions in the kernel of the scalar Laplacian and a complexified Hertz potential. The complexification prescription ensures the existence of regular physical solutions with chirality and propagating, non-singular, pulselike characteristics that are bounded in all three spatial dimensions. The technique is applied to the source-free Maxwell, Bopp-Landé-Podolsky and linearised Einstein field systems, and particular solutions are used for constructing classical models describing single-cycle laser pulses and a mechanism is discussed for initiating astrophysical jets. Our article concludes with a brief introduction to spacetime Clifford algebra ideals that we use to represent spinor fields. We employ these to demonstrate how the same technique used for tensor fields enables one to construct new propagating, chiral, non-singular, pulse-like spinor solutions to the massless Dirac equation in Minkowski spacetime.

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Section: Electromagnetic Pulses In Spacetime Vacuamentioning

confidence: 86%

Section: Electromagnetic Pulses In Spacetime Vacuamentioning

confidence: 99%

Scalar Pre-potentials for Spinor and Tensor Fields on Spacetime

Tucker,

Walton

2021

Preprint

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“…A choice of dimensionless parameters can be used to solve (4) numerically for a collection of trajectories for charged particles, each arranged initially around the circumference of a circle in a plane orthogonal to the propagation axis of incident CM type electromagnetic pulses with different chirality. The resulting space-curves in 3-dimensions, displayed in figure 1, clearly exhibit the different responses of charged matter to CM pulses with distinct chirality values [16]. Similar space-curves arise from charged particle interacting with chiral CE type modes .…”

Section: Electromagnetic Pulses In Vacuamentioning

confidence: 86%

Chirality in gravitational and electromagnetic interactions with matter

Tucker

Walton

2018

Int. J. Geom. Methods Mod. Phys.

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It has been suggested that single and double jets observed emanating from certain astrophysical objects may have a purely gravitational origin. We discuss new classes of pulsed gravitational wave solutions to the equation for perturbations of Ricci-flat spacetimes around Minkowski metrics, as models for the genesis of such phenomena. We discuss how these solutions are motivated by the analytic structure of spatially compact finite energy pulse solutions of the source-free Maxwell equations generated from complex chiral eigenmodes of a chirality operator. Complex gravitational pulse solutions to the linearised source-free Einstein equations are classified in terms of their chirality and generate a family of non-stationary real spacetime metrics. Particular members of these families are used as backgrounds in analysing time-like solutions to the geodesic equation for test particles. They are found numerically to exhibit both single and double jet-like features with dimensionless aspect ratios suggesting that it may be profitable to include such backgrounds in simulations of astrophysical jet dynamics from rotating accretion discs involving electromagnetic fields.

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“…In particular, we construct families of plane-fronted gravitational wave metrics and new non-stationary metrics having propagating pulse-like characteristics with bounded components in three-dimensional spatial domains. These are analogous to particular exact solutions of the vacuum Maxwell equations which we have recently shown can be used to model single-cycle electromagnetic laser pulses [11,12].…”

Section: Introductionmentioning

confidence: 82%

On gravitational chirality as the genesis of astrophysical jets

Tucker

Walton

2017

Class. Quantum Grav.

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It has been suggested that single and double jets observed emanating from certain astrophysical objects may have a purely gravitational origin. We discuss new classes of plane-fronted and pulsed gravitational wave solutions to the equation for perturbations of Ricci-flat spacetimes around Minkowski metrics, as models for the genesis of such phenomena. These solutions are classified in terms of their chirality and generate a family of non-stationary spacetime metrics. Particular members of these families are used as backgrounds in analysing time-like solutions to the geodesic equation for test particles. They are found numerically to exhibit both single and double jet-like features with dimensionless aspect ratios suggesting that it may be profitable to include such backgrounds in simulations of astrophysical jet dynamics from rotating accretion discs involving electromagnetic fields.

show abstract

The dynamics of compact laser pulses

Cited by 5 publications

References 34 publications

Scalar Pre-potentials for Spinor and Tensor Fields on Spacetime

Scalar Pre-potentials for Spinor and Tensor Fields on Spacetime

Chirality in gravitational and electromagnetic interactions with matter

On gravitational chirality as the genesis of astrophysical jets

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