On Maxwell's equations in non-stationary media

Vorgul, I.

doi:10.1098/rsta.2007.2186

Cited by 7 publications

(5 citation statements)

References 17 publications

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“…( 2) has a known Green's function (Khizhnyak 1986), which is a solution of a wave equation with the Dirac's delta function δ(t − x/v) righthand side (RHS) denoting a point source of radiation. Applying convolution of the Green's function to its right-hand side (Nerukh et al 2012) the following integral equation for the field results (Vorgul 2007;Cairns, Vorgul & Bingham 2008):…”

Section: Deriving the Equation For The Electric Component Of The Elec...mentioning

confidence: 99%

Flash ionization signature in coherent cyclotron emission from brown dwarfs

Vorgul

Helling

2016

Mon. Not. R. Astron. Soc.

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Brown dwarfs form mineral clouds in their atmospheres, where charged particles can produce large-scale discharges in form of lightning resulting in substantial sudden increase of local ionisation. Brown dwarfs are observed to emit cyclotron radio emission. We show that signatures of strong transient atmospheric ionisation events (flash ionisation) can be imprinted on a pre-existing radiation. Detection of such flash ionisation events will open investigations into the ionisation state and atmospheric dynamics. Such events can also result from explosion shock waves, material outbursts or (volcanic) eruptions. We present an analytical model that describes the modulation of a pre-existing electromagnetic radiation by a time-dependent (flash) conductivity that is characteristic for flash ionisation events like lightning. Our conductivity model reproduces the conductivity function derived from observations of Terrestrial Gamma Ray Flashes, and is applicable to astrophysical objects with strong temporal variations in the local ionization, as in planetary atmospheres and protoplanetary disks. We show that the field responds with a characteristic flash-shaped pulse to a conductivity flash of intermediate intensity. More powerful ionisation events result in smaller variations of the initial radiation, or in its damping. We show that the characteristic damping of the response field for high-power initial radiation carries information about the ionisation flash magnitude and duration. The duration of the pulse amplification or the damping is consistently shorter for larger conductivity variations and can be used to evaluate the intensity of the flash ionisation. Our work suggests that cyclotron emission could be probe signals for electrification processes inside BD atmosphere.

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Section: Deriving the Equation For The Electric Component Of The Elec...mentioning

confidence: 99%

Flash ionization signature in coherent cyclotron emission from brown dwarfs

Vorgul

Helling

2016

Mon. Not. R. Astron. Soc.

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“…If the characteristics of a medium vary in time by external perturbations, quantum light waves propagating through it may exhibit nonstatic properties [1][2][3][4][5][6][7][8]. Then, the shapes of the waves would be modified through the change of parameters.…”

Section: Introductionmentioning

confidence: 99%

Clarifying Nonstatic-Quantum-Wave Behavior Through Extending Its Analysis to the p-Quadrature Space: Interrelation Between the q- and p-Space Wave-Nonstaticities

Choi

2022

Front. Phys.

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If electromagnetic parameters of a medium vary in time, quantum light waves traveling in it become nonstatic. A recent report shows that such nonstatic waves can also appear even when the environment is static where the parameters of the medium do not vary. In this work, the properties of nonstatic waves in a static environment are investigated from their p-space analysis, focusing on the interrelation between the q- and p-space nonstatic waves. The probability densities in p-space (as well as in q-space) for both the nostatic Fock and Gaussian states evolve in a periodic manner, i.e., they constitute belly and node in turn successively as time goes by. If we neglect the displacement of waves, the q- and p-space wave phases are opposite each other. Since the intensity of the wave in each space is relatively large whenever the wave forms a belly, such a phase difference indicates that periodical intensity exchange between the q- and p-component waves takes place through their nonstatic evolutions. This is the novel reciprocal optical phenomenon arisen on account of the wave nonstaticity.

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Section: Introductionmentioning

confidence: 99%

Clarifying nonstatic-quantum-wave behavior through extending its analysis to the p-quadrature space: Interrelation between the q- and p-space wave-nonstaticities

Choi¹

2021

Preprint

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If electromagnetic parameters of a medium vary in time, quantum light waves traveling in it become nonstatic. A recent report shows that such nonstatic waves can also appear even when the environment is static where the parameters of the medium do not vary. In this work, the properties of nonstatic waves in a static environment are investigated from their p-space analysis, focusing on the interrelation between the q-and p-space nonstatic waves. The probability densities in p-space (as well as in q-space) for both the nostatic Fock and Gaussian states evolve in a periodic manner, i.e., they constitute belly and node in turn successively as time goes by. If we neglect the displacement of waves, the q-and p-space wave phases are opposite each other. Since the intensity of the wave in each space is relatively large whenever the wave forms a belly, such a phase difference indicates that periodical intensity exchange between the q-and p-component waves takes place through their nonstatic evolutions. This is the novel reciprocal optical phenomenon arisen on account of the wave nonstaticity.

show abstract

On Maxwell's equations in non-stationary media

Cited by 7 publications

References 17 publications

Flash ionization signature in coherent cyclotron emission from brown dwarfs

Flash ionization signature in coherent cyclotron emission from brown dwarfs

Clarifying Nonstatic-Quantum-Wave Behavior Through Extending Its Analysis to the p-Quadrature Space: Interrelation Between the q- and p-Space Wave-Nonstaticities

Clarifying nonstatic-quantum-wave behavior through extending its analysis to the p-quadrature space: Interrelation between the q- and p-space wave-nonstaticities

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