Equilibrium radiation in a plasma medium with spatial and frequency dispersion

Abstract

Examination of equilibrium radiation in plasma media shows that the spectral energy distribution of such radiation differs from that of Planck equilibrium radiation. Using the quantum electrodynamic approach, the general relation for the spectral energy density of equilibrium radiation in a system of charged particles is found. The obtained result takes into account the influence of plasma on equilibrium radiation through the explicit transverse dielectric permittivity which includes spatial and frequency dispersion, as well as the finite collision damping. For the limiting case of infinitesimal damping the result is identical with the known expression.

On the Topological Structure of Nonlocal Continuum Field Theories

“…Some of the physical phenomena that cannot be understood using local electromagnetic theory include spatial dispersion effects [83], extreme negative group velocity and negative refraction [52,94], new diffraction behavior in optical beams [95], superconductivity [96], natural optical activity [16,97,98], non-Planck equilibrium radiation formulas in nonlocal plasma [99]. Outside electromagnetism but within wave phenomena, there also exists processes that cannot be fully accounted for through simple local material models, for instance, we mention phase transitions, Casimir force effects [100], and streaming birefringence [9].…”

A Superspace Formalism for the Electromagnetism of Generic Nonlocal Continuous Metamaterials: Principal Structures and Applications

“…We first provide a non-exhaustive and selective review of the development of nonlocal electromagnetic materials research. 5 Some of the physical phenomena that cannot be understood using local electromagnetic theory include spatial dispersion effects [20], extreme negative group velocity and negative refraction [21], [22], new diffraction behaviour in optical beams [23], superconductivity [24], natural optical activity [4], [25], [26], non-Planck equilibrium radiation formulas in nonlocal plasma [27]. Outside electromagnetism but within wave phenomena, there also exists processes that cannot be fully accounted for through simple local material models, for instance, we mention phase transitions, Casimir force effects [28], and streaming birefringence [29].…”

“…where (27) was used. The truncated function F i is equal to F(r) only if r ∈ U i and zero elsewhere, i.e., we have…”

“…Indeed, since the longitudinal and transverse frequencies ω L and ω T are related to each other via ω 2 L /ω 2 T = ε 0 /ε ∞ [4], then the assumption that |ε 0 − ε ∞ | ε 0 is equivalent to neglecting the longitudinal-transverse splitting ω L,T := |ω L − ω T | in the sense of ω L,t ω T . 27 A consequence of this is the near equality of the longitudinal and transverse frequencies, which allows us to considerably simplify the mathematical treatment. In addition, assuming that the oscillator strength α in ( 59) is nearly the same for both the longitudinal and transverse part of the response function, then it follows that we need only work with a single scalar response function, namely the form (59) itself instead of the more general tensorial formula (53).…”

On the Topology of Nonlocal Field Theories of Material Continua

“…2) Historically Important Examples: Some of the physical phenomena that cannot be understood using local electromagnetic theory include spatial dispersion effects [82], extreme negative group velocity and negative refraction [51], [94], new diffraction behaviour in optical beams [95], superconductivity [96], natural optical activity [16], [97], [98], non-Planck equilibrium radiation formulas in nonlocal plasma [99]. Outside electromagnetism but within wave phenomena, there also exists processes that cannot be fully accounted for through simple local material models, for instance, we mention phase transitions, Casimir force effects [100], and streaming birefringence [9].…”