Periodic current domains in bundles of carbon nanotubes

The dynamics of propagation of periodic electromagnetic waves and the related electric current in bundles of carbon nanotubes is studied. The study is based on an analysis of coupled equations for the classical electron distribution function in carbon nanotubes and the Maxwell equations for an electromagnetic field. An effective equation is obtained to describe the electromagnetic-field dynamics. Periodic changes are revealed in the shape of the electromagnetic wave propagating in a carbon medium. This effect is considered to be related to energy exchange between periodic oscillations having different periods. Certain regions of the current passing through carbon nanotubes form a periodic domain structure. The results of numerical calculations allow this effect to be analyzed as a function of the problem parameters.     

Neutrinos in electromagnetic fields and moving media

The history of the development of the theory of neutrino-flavor and neutrino-spin oscillations in electromagnetic fields and in a medium is briefly surveyed. A new Lorentz-invariant approach to describing neutrino oscillations in a medium is formulated in such a way that it makes it possible to consider the motion of a medium at an arbitrary velocity, including relativistic ones. This approach permits studying neutrinospin oscillations under the effect of an arbitrary external electromagnetic field. In particular, it is predicted that, in the field of an electromagnetic wave, new resonances may exist in neutrino oscillations. In the case of spin oscillations in various electromagnetic fields, the concept of a critical magnetic-field-component strength is introduced above which the oscillations become sizable. In considering neutrino oscillations in moving matter, it is shown within the Lorentz-invariant formalism that the relativistic motion of matter significantly affects the character of neutrino oscillations and can radically change the conditions under which the oscillations are resonantly enhanced. Possible new effects in neutrino oscillations are discussed for the case of neutrino propagation in relativistic fluxes of matter.     

Dynamics of a two-dimensional light bullet propagating in a system of carbon nanotubes with a velocity greater than the speed of light in the medium

The behavior of a two-dimensional light bullet propagating with a velocity greater than the speed of light in a medium consisting of semiconducting carbon nanotubes is investigated by means of numerical simulation. The electromagnetic field of the investigated system is described using Maxwell’s equations with allowance for the electric and magnetic properties of the carbon nanotubes and the medium in which they are embedded.     

Specific dynamics of faster-than-light (in the medium) extremely short optical pulses in an array of carbon nanotubes

Maxwell’s equations for an electromagnetic field propagating in an array of carbon nanotubes have been considered in the case when the velocity of the incident pulse is greater than the speed of light in the medium. The equation for the vector potential of the electromagnetic field has been derived and solved numerically. The dependence of the pulse on its velocity at the entrance to the array of carbon nanotubes has been revealed.     

Electromagnetic excitation of infrasound in a conducting medium

A comparative analysis is made of the mechanisms of interaction between the electromagnetic fields of a global resonator and hydrodynamic and acoustic disturbances in a conducting medium. A universal boundary condition at the interface between air and the conducting medium, which takes into account the motion of the electrolyte, is obtained in an explicit analytical form to calculate the long-wavelength electromagnetic fields. The intensity of the electromagnetic field excited by a vertical hydroacoustic wave is estimated together with the efficiency of excitation of infrasonic oscillations of a conducting medium in the field of a global resonator. Zh. Tekh. Fiz. 68, 80–83 (January 1998)     

The effect of proper nonlinearity of the medium on the propagation of ultimately short pulses in an array of carbon nanotubes

The wave equation for the electromagnetic field that propagates in carbon nanotubes with allowance for the proper nonlinearity of the medium is analyzed. An effective equation having the form of an analog of the classical sine-Gordon equation is obtained and analyzed numerically. The dependence of the pulse on the nonlinearity constant of the medium is revealed. The evolution of the electromagnetic pulse is studied.     

Generation of pulses upon nonresonant acousto-electromagnetic interaction

New mechanisms of generation of acoustic and electromagnetic soliton-like pulses in an optoelastic medium upon nonlinear nonresonant interaction of the polarization components of an electromagnetic field with acoustic oscillations in the medium are considered. It is shown that the acousto-electromagnetic interaction in such a system may lead to the formation of coherent soliton excitations in a thin crystal plate. It is found that a modulation instability occurs in an extended medium, which is caused by the spatial effects and leads to the generation of transverse sound waves. The evolution of a light field in a one-dimensional extended periodic optoelastic medium is also considered. It is shown that acoustic and electromagnetic solitons can be generated due to the mixing of direct and backward optical waves and their nonresonant interaction with a sound wave.     

Interaction of few-cycle optical pulses in nonmetallic carbon nanotubes

Collision of two few-cycle optical pulses propagating in the medium of nonmetallic carbon nanotubes is described using joint solution of the Maxwell equations for the electromagnetic field and the Boltzmann equation for the electron subsystem.     

Periodic current domains in a system of carbon nanotubes

The dynamics of propagation of periodic electromagnetic waves and the current induced by them in a system of carbon nanotubes is investigated. The study is performed on the basis of the analysis of the coupled equations for the classical distribution function of electrons in carbon nanotubes and the Maxwell equations for an electromagnetic field. An effective equation describing the electromagnetic field dynamics is obtained. Periodic changes in the form of an electromagnetic wave during its propagation are revealed. This effect is related to the energy exchange between periodic vibrations with different periods in the system under consideration. The corresponding regions of the current through carbon nanotubes form a regular periodic domain structure. The results of numerical calculations are reported, which make it possible to consider this effect at different problem parameters.     

Ultimately short optical pulses in carbon nanotubes in dispersive nonmagnetic dielectric media

We consider Maxwell’s equations for an electromagnetic field propagating in carbon nanotubes placed in dispersive nonmagnetic dielectric media. An effective equation having the form of an analog of the classical sine-Gordon equation was obtained and analyzed numerically. The dependence of the pulse on the type of carbon nanotubes, initial pulse amplitude, and dispersion constants of the medium was revealed.     

Effect of the intrinsic nonlinearity on the propagation of ultrashort optical pulses in carbon nanotubes in dispersive nonmagnetic dielectric media

The Maxwell equations for the electromagnetic field that propagates in carbon nanotubes (CNTs) placed in dispersive nonmagnetic dielectric media are analyzed with allowance for the intrinsic nonlinearity of the medium. The dependences of the pulse on the initial pulse amplitude, dispersion constants, and nonlinearity are revealed.     

Nonlinear normal modes in electrodynamic systems: A nonperturbative approach

We consider electromagnetic nonlinear normal modes in cylindrical cavity resonators filled with a nonlinear nondispersive medium. The key feature of the analysis is that exact analytic solutions of the nonlinear field equations are employed to study the mode properties in detail. Based on such a nonperturbative approach, we rigorously prove that the total energy of free nonlinear oscillations in a distributed conservative system, such as that considered in our work, can exactly coincide with the sum of energies of the normal modes of the system. This fact implies that the energy orthogonality property, which has so far been known to hold only for linear oscillations and fields, can also be observed in a nonlinear oscillatory system.     

Electromagnetic solitons in carbon nanotubes at low temperatures

The propagation of a variable electromagnetic field in arrays of “zigzag” carbon nanotubes at low temperatures is considered. The electronic system of carbon nanotubes is analyzed using the Hamilton formalism with ignoring interactions with the phonon subsystem because the electromagnetic field pulse is extremely short. An effective equation for the amplitude of the electromagnetic field vector-potential was obtained. Solutions-analogues of solitons were revealed; these solutions corresponded to solitons for the cosine electronic subsystem dispersion law. The dependences of the nonlinear solutions obtained on problem parameters were analyzed.     

Nonlinear propagation of neutrinos in a strongly magnetized medium

The nonlinear propagation of an intense neutrino flux in an electron-positron plasma with equilibrium density and magnetic field inhomogeneities is considered. It is found that the neutrinos are nonlinearly coupled with electrostatic and electromagnetic disturbances due to weak Fermi interaction and ponderomotive forces. The process is governed by a Klein-Gordon equation for the neutrino flux and a wave equation for the plasma oscillations in the presence of the ponderomotive force of the neutrinos. This pair of equations is then used to derive a nonlinear dispersion relation which exhibits that nonthermal electrostatic and electromagnetic fluctuations are created on account of the energy density of the neutrinos. The relevance of our investigation to the anomalous absorption of neutrinos in a nonuniform magnetized medium is pointed out.     

Two-dimensional electromagnetic breathers in an array of nanotubes with multilevel impurities

The propagation of a two-dimensional bipolar electromagnetic pulse in an array of semiconductor carbon nanotubes with multilevel impurities is studied. The electromagnetic field in the array of nanotubes is described by Maxwell’s equations reduced to a non-one-dimensional wave equation. The numerical solution to the wave equation demonstrates the possibility of the propagation of a two-dimensional electromagnetic breather in the array of nanotubes. The character of the evolution of the shape of the breather is elucidated, and the time dependence of the maximum intensity of its field is obtained. It is demonstrated that the introduction of multilevel impurities causes a significant change in the parameters, thereby providing an additional possibility for the stabilization of a laser pulse propagating in an array of semiconducting carbon nanotubes.     

A tunable terahertz-band oscillator based on a two-well nanostructure with a coherent electron subsystem

A theory of coherent resonance tunneling of electrons in a two-well nanostructure (TWNS) in the presence of a strong electromagnetic field is developed. The TWNS consists of two identical tunnel-coupled quantum wells to which a dc electric field is applied. Radiative transitions occur between two levels that arise due to the interwell interference and the dc electric field. The wavefunctions and polarization currents in the TWNS are found in the case of a strong electromagnetic field, and the oscillation power is determined as a function of the coherent pumping current and the parameters of the structure. It is shown that oscillations are possible in the relevant terahertz band, with fine frequency tuning by a dc field. It is found that the interference of electrons between quantum wells plays a crucial role. This interference significantly suppresses the effect of the electromagnetic field on the resonance tunneling and enhances the oscillation up to the highest possible level. It is proved that there exists an optimal regime of strong-field oscillations without inverse population and saturation, which are inherent in conventional lasers.     

Two-dimensional light bullets in an array of carbon nanotubes

The problem of the propagation of two-dimensional solitary electromagnetic waves in an array of carbon nanotubes has been considered. The electromagnetic field and the electron system of carbon nanotubes have been treated on the basis of the Maxwell’s equations and the Boltzmann kinetic equation in the relaxation-time approximation, respectively. The derived effective equation has been analyzed and the state of the electromagnetic field that is localized in two spatial dimensions has been found.     

Two-dimensional unitary waves in a nonuniform block of carbon nanotubes

The propagation and scattering of two-dimensional unitary electromagnetic waves on metallic discontinuity in a block of carbon nanotubes is considered. The electromagnetic field was considered on the basis of Maxwell equations, and the electron system of carbon nanotubes was based on Boltzmann kinetic equations in an approximation of the relaxation time.