Undulator-Like Radiation and Cooperative Phenomenon in Semiconductor Microstructure with Grating

Abstract

In the article the cooperative N 2 -effect is considered, that is the radiation whose power is ∼ N 2 , where N is the number of emitters which in this case is equal to the number of electrons in a bunch. The suggested effect is the result of combining two other effects, Gunn-effect in GaAs and undulator-like radiation which can be produced by means of microstructure with grating (microundulator). It is very probable that the effect can be used for the developing of a new semiconductor-based room temperature source of the THz radiation.

On the Two Possible Types of THZ Generators

“…, as it will be shown in some of the next sections (see also [7]). The last one guarantees that electrons in the bunch will generate the EM waves of the same phase roughly.…”

“…This is exactly the radiation spectrum emitted by the particles in an undulator. The spectrum described by the formula (7) does not depend on whether the oscillations of moving particles are caused by the periodic magnetic or periodic electric field, since the situation in both cases is similar and, in a sense, both configurations are equivalent. Obviously, assume the electron velocity oscillations in the direction perpendicular to the axis of the structure are caused by the periodically aligned magnets.…”

“…are the functions whose rate of variation is small compared with the angular frequency  . Making some differentiations and other calculations (for details see [7]), we arrive finally at the following equations:…”

Undulator-Like Radiation and N² Effects in Semiconductor Microstructures with Grating

“…The corresponding wavelength is about λ ≈ 0.1816 cm and obviously, l d λ. Since in our case the velocity of electrons is much smaller than c, to take into account that the size of the bunch has to be much smaller than the period of grating l d a is even more important than to take into account the condition l d λ [4]. The last one guaranties that electrons in the bunch will generate roughly with the same phase.…”

Undulator-Like Radiation and N² Effects in Semiconductor Microstructures with Grating

“…. a is even more important than to take into account the condition l d λ [4]. The last one guaranties that electrons in the bunch will generate roughly with the same phase.…”