arXiv subjects

A. Zh. Khachatrian

Publications and source records attributed to A. Zh. Khachatrian.

4 recordsLinked to original sources

arXiv2003

Electron Wave Function in the Field of a One Dimensional Irregular Layered Structure

A method is proposed to find the wave function of an electron moving infinitely in the field of an arbitrary 1D layer structure with two different homogeneous semi-infinite boundaries. It is shown that in general the problem reduces to solution of a set of two linear difference equations. The proposed approach is discussed on a base of two cases: a structure of periodically placed identical rectangular potentials and a non-ordered structure with certain distortion of periodicity and potential identity.

quant-ph↗

arXiv2003

Determination of bound state energies for a one-dimensional potential field

A method for determination of bound state energies for an asymmetric quantum well with an arbitrary shape of the bottom is suggested. It is shown that how the equation determining the energy levels can be easily derived if one knows the electron transmission and reflection amplitudes corresponding to the part of potential inside the well. The results are applied to three difference test problems.

quant-ph↗

arXiv2003

The second harmonic generation in the symmetric well containing a rectangular barrier

The problem of determination of the maximum of second harmonic generation in the potential well containing a rectangular barrier is considered. It is shown that, in general, the problem of finding the ensemble of structures with equidistant first three levels has two types of solutions. For the first type the second and third energy levels are located above a rectangular barrier, and for the second type the third level is located above the barrier only. It is also shown, that generation corresponding to the second type of solution always is less than generation for the first one. Taking into account the effective mass changes the problem of finding the generation maximum for a finite depth well is exactly solved.

physics.optics↗

arXiv2003

To the problem of finding the transmission and reflection bands of a plane electromagnetic wave falling on an ideal structure

In the present paper we investigate the transmission and reflection band behavior for a plane electromagnetic wave falling obliquely on an ideal layered structure. The dependence of this behavior on the problem parameters and wave incident angle is considered. It is shown, that in general case the band width is a non-monotonous function of the problem parameters. A condition is found, which defines the possibility of the contact of the transmission bands. This condition has the same form for s and p waves. It is also shown that irrespective of the wave polarization, the transmission coefficient equals to the unit at the contact points.

physics.optics↗