Electromagnetic momenta for wave-particle systems in vacuum waveguides

Minenna, Damien F. G.; Elskens, Yves; Doveil, Fabrice; André, Frédéric

doi:10.1140/epjd/e2020-100640-6

Cited by 3 publications

(3 citation statements)

References 47 publications

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“…Notwithstanding, we can hardly find conservation laws that explicitly involve β or κ as in Equation (11). In addition to Equation ( 11), we have placed in Supplementary Material other forms of {P, R} that are of lesser utility to this study but warrant further investigations [1][2][3][4]12,18,20,[43][44][45].…”

Section: ∇ ×mentioning

confidence: 99%

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Anti-Symmetric Medium Chirality Leading to Symmetric Field Helicity in Response to a Pair of Circularly Polarized Plane Waves in Counter-Propagating Configuration

Lee

2022

Symmetry

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We examine how a chiral medium responds to a pair of plane waves of circular polarizations. To this goal, we assume the chiral medium to be spatially homogeneous for simplicity. By assuming the medium to be a lossless, we provide analytic formulas of key bilinear parameters such as the pair of electromagnetic and reactive Poynting vectors in addition to the pair of electromagnetic and reactive helicities. By examining two obliquely colliding plane waves, we learned that most of those key parameters are asymmetric with respect to the medium chirality. Only for a counter-propagating pair, some of those key parameters are found to exhibit symmetry with respect to the medium chirality. We will discuss the implications of those asymmetries and symmetries from the viewpoints of typical applications in optics and physics.

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Section: ∇ ×mentioning

confidence: 99%

“…Consulting the constitutive relations in Equation (3), C ≡ Im(E•H * ) can be alternatively defined by C ≡ Im(D•B * ) [12]. This distinction between the two defining formulas for C is essentially linked to the Abraham-Minkowski dilemma [18,27,45], details of which lie beyond the scope of this study.…”

Section: Formulationmentioning

confidence: 99%

Anti-Symmetric Medium Chirality Leading to Symmetric Field Helicity in Response to a Pair of Circularly Polarized Plane Waves in Counter-Propagating Configuration

Lee

2022

Symmetry

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“…Note that the discrete model was also used in Ref. 40 to resolve the Abraham-Minkowski dilemma in waveguides: there coexist two different field momenta, one expression being canonical and the other one being kinematic. We also remark that pseudospectral models [41][42][43] share several similarities with the discrete model.…”

Section: The Discrete Model a Section Synthesismentioning

confidence: 99%

Time simulation of the nonlinear wave–particle interaction in meters-long traveling-wave tubes

et al. 2021

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We propose a multi-particle self-consistent Hamiltonian (derived from an N -body description) that is applicable for periodic structures such as traveling-wave tubes (TWTs), gyrotrons, free-electron lasers, or particle accelerators. We build a 1D symplectic multi-particle algorithm to simulate the nonlinear wave-particle interaction in the time domain occurring in an experimental 3-meters long helix TWT. Our algorithm is efficient thanks to a drastic reduction model. A 3D helix version of our reduction model is provided. Finally, we establish an explicit expression of the electromagnetic power in the time domain and in non-monochromatic (non "continuous waveform") regime.

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