David Armando Contreras-Solorio - Academia.edu (original) (raw)

Papers by David Armando Contreras-Solorio

We study theoretically the spectral transmission properties of a multilayer structure in which th... more We study theoretically the spectral transmission properties of a multilayer structure in which the refractive index of the layers follows a self-similar arithmetical sequence named 'The 1s-counting sequence', which is related to the Pascal's triangle. The transmittance spectrum is intermediate between that of a periodic structure and that of a random structure, and shows clearly properties of scaling and self-similarity for all incident angles and TE and TM polarizations.

The theory of a response of a two-energy-level system, irradiated by symmetrical light pulses, ha... more The theory of a response of a two-energy-level system, irradiated by symmetrical light pulses, has been developed.(Suchlike electronic system approximates under the definite conditions a single ideal quantum well (QW) in a strong magnetic field {\bf H}, directed perpendicularly to the QW's plane, or in magnetic field absence.) The general formulae for the time-dependence of non-dimensional reflection {\cal R}(t), absorption {\cal A}(t) and transmission {\cal T}(t) of a symmetrical light pulse have been obtained. It has been shown that the singularities of three types exist on the dependencies {\cal R}(t), {\cal A}(t), {\cal T}(t). The oscillating time dependence of {\cal R}(t), {\cal A}(t), {\cal T}(t) on the detuning frequency \Delta\omega=\omega_l-\omega_0 takes place. The oscillations are more easily observable when \Delta\omega\simeq\gamma_l. The positions of the total absorption, reflection and transparency singularities are examined when the frequency \omega_l is detuned.

A theory of light transmission through a quantum well (QW) in a magnetic field perpendicular to t... more A theory of light transmission through a quantum well (QW) in a magnetic field perpendicular to the QW plane is developed. The light wave length is supposed comparable with the QW width. The formulas for reflection, absorption and transmission take into account the spatial dispersion of the light monochromatic wave and a difference of the refraction indexes of the QW and barrier. We suppose a normal light incidence on the QW plane and consider only one excited energy level. These two factors influence mostly light reflection, since an additional reflection from the QW borders appears to the reflection due to interband transitions in the QW. The most radical changes in reflection appear when a radiative broadening of the excited energy level is small in comparison to a nonradiative broadening. Our theory is limited by the condition of existence of size-quantized energy levels which is satisfied for quite narrow QW's.

The method of detection and investigation of the magnetopolaron effect in the semiconductor quant... more The method of detection and investigation of the magnetopolaron effect in the semiconductor quantum wells (QW) in a strong magnetic field, based on pulse light irradiation and measuring the reflected and transmitted pulses, has been proposed. It has been shown that a beating amplitude on the frequencies, corresponding to the magnetopolaron energy level splitting, depends strongly on the exciting pulse width. The existence of the time points of the total reflection and total transparency has been predicted. The high orders of the perturbation theory on electron-electromagnetic field interaction have been taken into account.

The reflection, transmission and absorption of a symmetric electromagnetic pulse, which carrying ... more The reflection, transmission and absorption of a symmetric electromagnetic pulse, which carrying frequency is close to the frequency of an interband transition in a QW (QW), are obtained. The energy levels of a QW are assumed discrete, one exited level is taken into account. The case of a wide QW is considered when a length of the pulse wave, appropriate to the carrying frequency, is comparable to the QW's width. In figures the time dependencies of the dimensionless reflection, absorption are transmission are represented. It is shown, that the spatial dispersion and a distinction in refraction indexes influence stronger reflection.

The non-sinusoidal character oscillations appear in the transmitted, reflected and absorbed light... more The non-sinusoidal character oscillations appear in the transmitted, reflected and absorbed light fluxes when light pulses irradiate a semiconductor quantum well (QW), containing a large number of the equidistant energy levels of electronic excitations. A damping echo of the exciting pulse appears through the time intervals 2pihbar/DeltaE2\pi\hbar/\Delta E2pihbar/DeltaE in the case of the very short light pulses gammal−1llhbar/DeltaE\gamma_l^{-1}\ll\hbar/\Delta Egammal−1llhbar/DeltaE.

It has been shown that the non-sinusoidal character oscillations appear in the transmitted, refle... more It has been shown that the non-sinusoidal character oscillations appear in the transmitted, reflected and absorbed light fluxes when light pulses irradiate a semiconductor quantum well (QW), containing a set of a large number of the equidistant energy levels of electronic excitations. The oscillation amplitude is comparable to the flux values for the short pulses, duration of which \gamma_l^{-1} \leq \hbar/\Delta E. A damping echo of the exciting pulse appears through the time intervals 2\pi\hbar/\Delta E in the case of the very short light pulses \gamma_l^{-1}\ll \hbar/\Delta E. Symmetrical and asymmetrical pulses with a sharp front have been considered. Our theory is applicable for the narrow QWs in a strong magnetic field, when the equidistant energy levels correspond to the electron-hole pairs with different Landau quantum numbers.

The theory of a response of a two-energy-level system, irradiated by symmetrical light pulses, ha... more The theory of a response of a two-energy-level system, irradiated by symmetrical light pulses, has been developed.(Suchlike electronic system approximates under the definite conditions a single ideal quantum well (QW) in a strong magnetic field {\bf H}, directed perpendicularly to the QW's plane, or in magnetic field absence.) The general formulae for the time-dependence of non-dimensional reflection {\cal R}(t), absorption {\cal A}(t) and transmission {\cal T}(t) of a symmetrical light pulse have been obtained. It has been shown that the singularities of three types exist on the dependencies {\cal R}(t), {\cal A}(t), {\cal T}(t). The oscillating time dependence of {\cal R}(t), {\cal A}(t), {\cal T}(t) on the detuning frequency \Delta\omega=\omega_l-\omega_0 takes place. The oscillations are more easily observable when \Delta\omega\simeq\gamma_l. The positions of the total absorption, reflection and transparency singularities are examined when the frequency \omega_l is detuned.

The light absorption {\cal A} and reflection{\calR} coefficients for a three-level system in a qu... more The light absorption {\cal A} and reflection{\calR} coefficients for a three-level system in a quantum well (QW) in a strong magnetic field {\bf H}, directed perpendicularly to the QW's plane, have been calculated. The energy levels correspond to the ground state and to magnetopolaron energy levels \hbar\omega_{1(2)} with the inverse lifetimes \gamma_{r1(2)} and \gamma_{1(2)}. The inverse radiative lifetime of an EHP in a QW \gamma_{r\xi}(\bf{\cal K}_{\perp})\not=0 only under condition {\cal K}_{\perp}\le\omega_\xi n/c, where \hbar\omega_\xi is the EHP energy. It has been shown that \gamma_{r\xi}(\bf{\cal K}_{\perp}) is proportional to H. The values \gamma_{ra}(\bf{\cal K}_{\perp}) and \gamma_{rb}(\bf{\cal K}_{\perp}) for an excitation consisting of a hole and a usual magnetopolaron have been calculated. The index a(b) designates a magnetopolaron upper (lower) term. In the resonance at H_{res}=m_ec\omega_{LO}/|e|~~ \gamma_{ra}^{res}=\gamma_{rb}^{res}=\gamma_{r\xi_0}^{res}/2, where the index \xi_0 corresponds to the EHP with n_e=n_h=1. The dependencies {\cal A}(H)$ and ${\cal R}(H) for various values of \omega_l in the magnetophonon resonance vicinity have been obtained. The existence of "combined"and "weak" polarons has been predicted. The resonant value H_{res} for the combined polaron case depends on a QW's depth and width.

A theory of light transmission through a quantum well (QW) in a magnetic field perpendicular to t... more A theory of light transmission through a quantum well (QW) in a magnetic field perpendicular to the QW plane is developed. The light wave length is supposed comparable with the QW width. The formulas for reflection, absorption and transmission take into account the spatial dispersion of the light monochromatic wave and a difference of the refraction indexes of the QW and barrier. We suppose a normal light incidence on the QW plane and consider only one excited energy level. These two factors influence mostly light reflection, since an additional reflection from the QW borders appears to the reflection due to interband transitions in the QW. The most radical changes in reflection appear when a radiative broadening of the excited energy level is small in comparison to a nonradiative broadening. Our theory is limited by the condition of existence of size-quantized energy levels which is satisfied for quite narrow QW's.

The light absorption {\cal A} and reflection{\calR} coefficients for a three-level system in a qu... more The light absorption {\cal A} and reflection{\calR} coefficients for a three-level system in a quantum well (QW) in a strong magnetic field {\bf H}, directed perpendicularly to the QW's plane, have been calculated. The energy levels correspond to the ground state and to magnetopolaron energy levels \hbar\omega_{1(2)} with the inverse lifetimes \gamma_{r1(2)} and \gamma_{1(2)}. The inverse radiative lifetime of an EHP in a QW \gamma_{r\xi}(\bf{\cal K}_{\perp})\not=0 only under condition {\cal K}_{\perp}\le\omega_\xi n/c, where \hbar\omega_\xi is the EHP energy. It has been shown that \gamma_{r\xi}(\bf{\cal K}_{\perp}) is proportional to H. The values \gamma_{ra}(\bf{\cal K}_{\perp}) and \gamma_{rb}(\bf{\cal K}_{\perp}) for an excitation consisting of a hole and a usual magnetopolaron have been calculated. The index a(b) designates a magnetopolaron upper (lower) term. In the resonance at H_{res}=m_ec\omega_{LO}/|e|~~ \gamma_{ra}^{res}=\gamma_{rb}^{res}=\gamma_{r\xi_0}^{res}/2, where the index \xi_0 corresponds to the EHP with n_e=n_h=1. The dependencies {\cal A}(H)$ and ${\cal R}(H) for various values of \omega_l in the magnetophonon resonance vicinity have been obtained. The existence of "combined"and "weak" polarons has been predicted. The resonant value H_{res} for the combined polaron case depends on a QW's depth and width.

The method of detection and investigation of the magnetopolaron effect in the semiconductor quant... more The method of detection and investigation of the magnetopolaron effect in the semiconductor quantum wells (QW) in a strong magnetic field, based on pulse light irradiation and measuring the reflected and transmitted pulses, has been proposed. It has been shown that a beating amplitude on the frequencies, corresponding to the magnetopolaron energy level splitting, depends strongly on the exciting pulse width. The existence of the time points of the total reflection and total transparency has been predicted. The high orders of the perturbation theory on electron-electromagnetic field interaction have been taken into account.

The reflection, transmission and absorption of a symmetric electromagnetic pulse, which carrying ... more The reflection, transmission and absorption of a symmetric electromagnetic pulse, which carrying frequency is close to the frequency of an interband transition in a QW (QW), are obtained. The energy levels of a QW are assumed discrete, one exited level is taken into account. The case of a wide QW is considered when a length of the pulse wave, appropriate to the carrying frequency, is comparable to the QW's width. In figures the time dependencies of the dimensionless reflection, absorption are transmission are represented. It is shown, that the spatial dispersion and a distinction in refraction indexes influence stronger reflection.

The theory of a response of a two-energy-level system, irradiated by symmetrical light pulses, ha... more The theory of a response of a two-energy-level system, irradiated by symmetrical light pulses, has been developed.(Suchlike electronic system approximates under the definite conditions a single ideal quantum well (QW) in a strong magnetic field {\bf H}, directed perpendicularly to the QW's plane, or in magnetic field absence.) The general formulae for the time-dependence of non-dimensional reflection {\cal R}(t), absorption {\cal A}(t) and transmission {\cal T}(t) of a symmetrical light pulse have been obtained. It has been shown that the singularities of three types exist on the dependencies {\cal R}(t), {\cal A}(t), {\cal T}(t). The oscillating time dependence of {\cal R}(t), {\cal A}(t), {\cal T}(t) on the detuning frequency \Delta\omega=\omega_l-\omega_0 takes place. The oscillations are more easily observable when \Delta\omega\simeq\gamma_l. The positions of the total absorption, reflection and transparency singularities are examined when the frequency \omega_l is detuned.

The non-sinusoidal character oscillations appear in the transmitted, reflected and absorbed light... more The non-sinusoidal character oscillations appear in the transmitted, reflected and absorbed light fluxes when light pulses irradiate a semiconductor quantum well (QW), containing a large number of the equidistant energy levels of electronic excitations. A damping echo of the exciting pulse appears through the time intervals 2pihbar/DeltaE2\pi\hbar/\Delta E2pihbar/DeltaE in the case of the very short light pulses gammal−1llhbar/DeltaE\gamma_l^{-1}\ll\hbar/\Delta Egammal−1llhbar/DeltaE.

A theory of light transmission through a quantum well (QW) in a magnetic field perpendicular to t... more A theory of light transmission through a quantum well (QW) in a magnetic field perpendicular to the QW plane is developed. The light wave length is supposed comparable with the QW width. The formulas for reflection, absorption and transmission take into account the spatial dispersion of the light monochromatic wave and a difference of the refraction indexes of the QW and barrier. We suppose a normal light incidence on the QW plane and consider only one excited energy level. These two factors influence mostly light reflection, since an additional reflection from the QW borders appears to the reflection due to interband transitions in the QW. The most radical changes in reflection appear when a radiative broadening of the excited energy level is small in comparison to a nonradiative broadening. Our theory is limited by the condition of existence of size-quantized energy levels which is satisfied for quite narrow QW's.

Recibido el 22 de junio de 2001; aceptado el 13 de febrero de 2004 It is shown that non-sinusoida... more Recibido el 22 de junio de 2001; aceptado el 13 de febrero de 2004 It is shown that non-sinusoidal oscillations appear in transmitted, reflected and absorbed light fluxes when light pulses irradiate a semiconductor quantum well (QW) containing a large number of equidistant energy levels of electronic excitations. The oscillation amplitude is comparable to the flux values for short pulses with the duration γ −1 l ≤ /∆E. A damped echo of the exciting pulse appears in the time intervals 2π /∆E for very short light pulses γ −1 l /∆E. Symmetric and asymmetric pulses with a sharp front are considered. Our theory is applicable to narrow QW's in a quantizing magnetic field when the equidistant energy levels correspond to the electron-hole pairs with different Landau quantum numbers.

The method of detection and investigation of the magnetopolaron effect in the semiconductor quant... more The method of detection and investigation of the magnetopolaron effect in the semiconductor quantum wells (QW) in a strong magnetic field, based on pulse light irradiation and measuring the reflected and transmitted pulses, has been proposed. It has been shown that a beating amplitude on the frequencies, corresponding to the magnetopolaron energy level splitting, depends strongly on the exciting pulse width. The existence of the time points of the total reflection and total transparency has been predicted. The high orders of the perturbation theory on electron-electromagnetic field interaction have been taken into account.

It has been shown that the non-sinusoidal character oscillations appear in the transmitted, refle... more It has been shown that the non-sinusoidal character oscillations appear in the transmitted, reflected and absorbed light fluxes when light pulses irradiate a semiconductor quantum well (QW), containing a set of a large number of the equidistant energy levels of electronic excitations. The oscillation amplitude is comparable to the flux values for the short pulses, duration of which \gamma_l^{-1} \leq \hbar/\Delta E. A damping echo of the exciting pulse appears through the time intervals 2\pi\hbar/\Delta E in the case of the very short light pulses \gamma_l^{-1}\ll \hbar/\Delta E. Symmetrical and asymmetrical pulses with a sharp front have been considered. Our theory is applicable for the narrow QWs in a strong magnetic field, when the equidistant energy levels correspond to the electron-hole pairs with different Landau quantum numbers.

The light absorption {\cal A} and reflection{\calR} coefficients for a three-level system in a qu... more The light absorption {\cal A} and reflection{\calR} coefficients for a three-level system in a quantum well (QW) in a strong magnetic field {\bf H}, directed perpendicularly to the QW's plane, have been calculated. The energy levels correspond to the ground state and to magnetopolaron energy levels \hbar\omega_{1(2)} with the inverse lifetimes \gamma_{r1(2)} and \gamma_{1(2)}. The inverse radiative lifetime of an EHP in a QW \gamma_{r\xi}(\bf{\cal K}_{\perp})\not=0 only under condition {\cal K}_{\perp}\le\omega_\xi n/c, where \hbar\omega_\xi is the EHP energy. It has been shown that \gamma_{r\xi}(\bf{\cal K}_{\perp}) is proportional to H. The values \gamma_{ra}(\bf{\cal K}_{\perp}) and \gamma_{rb}(\bf{\cal K}_{\perp}) for an excitation consisting of a hole and a usual magnetopolaron have been calculated. The index a(b) designates a magnetopolaron upper (lower) term. In the resonance at H_{res}=m_ec\omega_{LO}/|e|~~ \gamma_{ra}^{res}=\gamma_{rb}^{res}=\gamma_{r\xi_0}^{res}/2, where the index \xi_0 corresponds to the EHP with n_e=n_h=1. The dependencies {\cal A}(H)$ and ${\cal R}(H) for various values of \omega_l in the magnetophonon resonance vicinity have been obtained. The existence of "combined"and "weak" polarons has been predicted. The resonant value H_{res} for the combined polaron case depends on a QW's depth and width.

We study theoretically the spectral transmission properties of a multilayer structure in which th... more We study theoretically the spectral transmission properties of a multilayer structure in which the refractive index of the layers follows a self-similar arithmetical sequence named 'The 1s-counting sequence', which is related to the Pascal's triangle. The transmittance spectrum is intermediate between that of a periodic structure and that of a random structure, and shows clearly properties of scaling and self-similarity for all incident angles and TE and TM polarizations.

The theory of a response of a two-energy-level system, irradiated by symmetrical light pulses, ha... more The theory of a response of a two-energy-level system, irradiated by symmetrical light pulses, has been developed.(Suchlike electronic system approximates under the definite conditions a single ideal quantum well (QW) in a strong magnetic field {\bf H}, directed perpendicularly to the QW's plane, or in magnetic field absence.) The general formulae for the time-dependence of non-dimensional reflection {\cal R}(t), absorption {\cal A}(t) and transmission {\cal T}(t) of a symmetrical light pulse have been obtained. It has been shown that the singularities of three types exist on the dependencies {\cal R}(t), {\cal A}(t), {\cal T}(t). The oscillating time dependence of {\cal R}(t), {\cal A}(t), {\cal T}(t) on the detuning frequency \Delta\omega=\omega_l-\omega_0 takes place. The oscillations are more easily observable when \Delta\omega\simeq\gamma_l. The positions of the total absorption, reflection and transparency singularities are examined when the frequency \omega_l is detuned.

A theory of light transmission through a quantum well (QW) in a magnetic field perpendicular to t... more A theory of light transmission through a quantum well (QW) in a magnetic field perpendicular to the QW plane is developed. The light wave length is supposed comparable with the QW width. The formulas for reflection, absorption and transmission take into account the spatial dispersion of the light monochromatic wave and a difference of the refraction indexes of the QW and barrier. We suppose a normal light incidence on the QW plane and consider only one excited energy level. These two factors influence mostly light reflection, since an additional reflection from the QW borders appears to the reflection due to interband transitions in the QW. The most radical changes in reflection appear when a radiative broadening of the excited energy level is small in comparison to a nonradiative broadening. Our theory is limited by the condition of existence of size-quantized energy levels which is satisfied for quite narrow QW's.

The method of detection and investigation of the magnetopolaron effect in the semiconductor quant... more The method of detection and investigation of the magnetopolaron effect in the semiconductor quantum wells (QW) in a strong magnetic field, based on pulse light irradiation and measuring the reflected and transmitted pulses, has been proposed. It has been shown that a beating amplitude on the frequencies, corresponding to the magnetopolaron energy level splitting, depends strongly on the exciting pulse width. The existence of the time points of the total reflection and total transparency has been predicted. The high orders of the perturbation theory on electron-electromagnetic field interaction have been taken into account.

The reflection, transmission and absorption of a symmetric electromagnetic pulse, which carrying ... more The reflection, transmission and absorption of a symmetric electromagnetic pulse, which carrying frequency is close to the frequency of an interband transition in a QW (QW), are obtained. The energy levels of a QW are assumed discrete, one exited level is taken into account. The case of a wide QW is considered when a length of the pulse wave, appropriate to the carrying frequency, is comparable to the QW's width. In figures the time dependencies of the dimensionless reflection, absorption are transmission are represented. It is shown, that the spatial dispersion and a distinction in refraction indexes influence stronger reflection.

The non-sinusoidal character oscillations appear in the transmitted, reflected and absorbed light... more The non-sinusoidal character oscillations appear in the transmitted, reflected and absorbed light fluxes when light pulses irradiate a semiconductor quantum well (QW), containing a large number of the equidistant energy levels of electronic excitations. A damping echo of the exciting pulse appears through the time intervals 2pihbar/DeltaE2\pi\hbar/\Delta E2pihbar/DeltaE in the case of the very short light pulses gammal−1llhbar/DeltaE\gamma_l^{-1}\ll\hbar/\Delta Egammal−1llhbar/DeltaE.

It has been shown that the non-sinusoidal character oscillations appear in the transmitted, refle... more It has been shown that the non-sinusoidal character oscillations appear in the transmitted, reflected and absorbed light fluxes when light pulses irradiate a semiconductor quantum well (QW), containing a set of a large number of the equidistant energy levels of electronic excitations. The oscillation amplitude is comparable to the flux values for the short pulses, duration of which \gamma_l^{-1} \leq \hbar/\Delta E. A damping echo of the exciting pulse appears through the time intervals 2\pi\hbar/\Delta E in the case of the very short light pulses \gamma_l^{-1}\ll \hbar/\Delta E. Symmetrical and asymmetrical pulses with a sharp front have been considered. Our theory is applicable for the narrow QWs in a strong magnetic field, when the equidistant energy levels correspond to the electron-hole pairs with different Landau quantum numbers.

The theory of a response of a two-energy-level system, irradiated by symmetrical light pulses, ha... more The theory of a response of a two-energy-level system, irradiated by symmetrical light pulses, has been developed.(Suchlike electronic system approximates under the definite conditions a single ideal quantum well (QW) in a strong magnetic field {\bf H}, directed perpendicularly to the QW's plane, or in magnetic field absence.) The general formulae for the time-dependence of non-dimensional reflection {\cal R}(t), absorption {\cal A}(t) and transmission {\cal T}(t) of a symmetrical light pulse have been obtained. It has been shown that the singularities of three types exist on the dependencies {\cal R}(t), {\cal A}(t), {\cal T}(t). The oscillating time dependence of {\cal R}(t), {\cal A}(t), {\cal T}(t) on the detuning frequency \Delta\omega=\omega_l-\omega_0 takes place. The oscillations are more easily observable when \Delta\omega\simeq\gamma_l. The positions of the total absorption, reflection and transparency singularities are examined when the frequency \omega_l is detuned.

The light absorption {\cal A} and reflection{\calR} coefficients for a three-level system in a qu... more The light absorption {\cal A} and reflection{\calR} coefficients for a three-level system in a quantum well (QW) in a strong magnetic field {\bf H}, directed perpendicularly to the QW's plane, have been calculated. The energy levels correspond to the ground state and to magnetopolaron energy levels \hbar\omega_{1(2)} with the inverse lifetimes \gamma_{r1(2)} and \gamma_{1(2)}. The inverse radiative lifetime of an EHP in a QW \gamma_{r\xi}(\bf{\cal K}_{\perp})\not=0 only under condition {\cal K}_{\perp}\le\omega_\xi n/c, where \hbar\omega_\xi is the EHP energy. It has been shown that \gamma_{r\xi}(\bf{\cal K}_{\perp}) is proportional to H. The values \gamma_{ra}(\bf{\cal K}_{\perp}) and \gamma_{rb}(\bf{\cal K}_{\perp}) for an excitation consisting of a hole and a usual magnetopolaron have been calculated. The index a(b) designates a magnetopolaron upper (lower) term. In the resonance at H_{res}=m_ec\omega_{LO}/|e|~~ \gamma_{ra}^{res}=\gamma_{rb}^{res}=\gamma_{r\xi_0}^{res}/2, where the index \xi_0 corresponds to the EHP with n_e=n_h=1. The dependencies {\cal A}(H)$ and ${\cal R}(H) for various values of \omega_l in the magnetophonon resonance vicinity have been obtained. The existence of "combined"and "weak" polarons has been predicted. The resonant value H_{res} for the combined polaron case depends on a QW's depth and width.

A theory of light transmission through a quantum well (QW) in a magnetic field perpendicular to t... more A theory of light transmission through a quantum well (QW) in a magnetic field perpendicular to the QW plane is developed. The light wave length is supposed comparable with the QW width. The formulas for reflection, absorption and transmission take into account the spatial dispersion of the light monochromatic wave and a difference of the refraction indexes of the QW and barrier. We suppose a normal light incidence on the QW plane and consider only one excited energy level. These two factors influence mostly light reflection, since an additional reflection from the QW borders appears to the reflection due to interband transitions in the QW. The most radical changes in reflection appear when a radiative broadening of the excited energy level is small in comparison to a nonradiative broadening. Our theory is limited by the condition of existence of size-quantized energy levels which is satisfied for quite narrow QW's.

The light absorption {\cal A} and reflection{\calR} coefficients for a three-level system in a qu... more The light absorption {\cal A} and reflection{\calR} coefficients for a three-level system in a quantum well (QW) in a strong magnetic field {\bf H}, directed perpendicularly to the QW's plane, have been calculated. The energy levels correspond to the ground state and to magnetopolaron energy levels \hbar\omega_{1(2)} with the inverse lifetimes \gamma_{r1(2)} and \gamma_{1(2)}. The inverse radiative lifetime of an EHP in a QW \gamma_{r\xi}(\bf{\cal K}_{\perp})\not=0 only under condition {\cal K}_{\perp}\le\omega_\xi n/c, where \hbar\omega_\xi is the EHP energy. It has been shown that \gamma_{r\xi}(\bf{\cal K}_{\perp}) is proportional to H. The values \gamma_{ra}(\bf{\cal K}_{\perp}) and \gamma_{rb}(\bf{\cal K}_{\perp}) for an excitation consisting of a hole and a usual magnetopolaron have been calculated. The index a(b) designates a magnetopolaron upper (lower) term. In the resonance at H_{res}=m_ec\omega_{LO}/|e|~~ \gamma_{ra}^{res}=\gamma_{rb}^{res}=\gamma_{r\xi_0}^{res}/2, where the index \xi_0 corresponds to the EHP with n_e=n_h=1. The dependencies {\cal A}(H)$ and ${\cal R}(H) for various values of \omega_l in the magnetophonon resonance vicinity have been obtained. The existence of "combined"and "weak" polarons has been predicted. The resonant value H_{res} for the combined polaron case depends on a QW's depth and width.

The method of detection and investigation of the magnetopolaron effect in the semiconductor quant... more The method of detection and investigation of the magnetopolaron effect in the semiconductor quantum wells (QW) in a strong magnetic field, based on pulse light irradiation and measuring the reflected and transmitted pulses, has been proposed. It has been shown that a beating amplitude on the frequencies, corresponding to the magnetopolaron energy level splitting, depends strongly on the exciting pulse width. The existence of the time points of the total reflection and total transparency has been predicted. The high orders of the perturbation theory on electron-electromagnetic field interaction have been taken into account.

The reflection, transmission and absorption of a symmetric electromagnetic pulse, which carrying ... more The reflection, transmission and absorption of a symmetric electromagnetic pulse, which carrying frequency is close to the frequency of an interband transition in a QW (QW), are obtained. The energy levels of a QW are assumed discrete, one exited level is taken into account. The case of a wide QW is considered when a length of the pulse wave, appropriate to the carrying frequency, is comparable to the QW's width. In figures the time dependencies of the dimensionless reflection, absorption are transmission are represented. It is shown, that the spatial dispersion and a distinction in refraction indexes influence stronger reflection.

The theory of a response of a two-energy-level system, irradiated by symmetrical light pulses, ha... more The theory of a response of a two-energy-level system, irradiated by symmetrical light pulses, has been developed.(Suchlike electronic system approximates under the definite conditions a single ideal quantum well (QW) in a strong magnetic field {\bf H}, directed perpendicularly to the QW's plane, or in magnetic field absence.) The general formulae for the time-dependence of non-dimensional reflection {\cal R}(t), absorption {\cal A}(t) and transmission {\cal T}(t) of a symmetrical light pulse have been obtained. It has been shown that the singularities of three types exist on the dependencies {\cal R}(t), {\cal A}(t), {\cal T}(t). The oscillating time dependence of {\cal R}(t), {\cal A}(t), {\cal T}(t) on the detuning frequency \Delta\omega=\omega_l-\omega_0 takes place. The oscillations are more easily observable when \Delta\omega\simeq\gamma_l. The positions of the total absorption, reflection and transparency singularities are examined when the frequency \omega_l is detuned.

The non-sinusoidal character oscillations appear in the transmitted, reflected and absorbed light... more The non-sinusoidal character oscillations appear in the transmitted, reflected and absorbed light fluxes when light pulses irradiate a semiconductor quantum well (QW), containing a large number of the equidistant energy levels of electronic excitations. A damping echo of the exciting pulse appears through the time intervals 2pihbar/DeltaE2\pi\hbar/\Delta E2pihbar/DeltaE in the case of the very short light pulses gammal−1llhbar/DeltaE\gamma_l^{-1}\ll\hbar/\Delta Egammal−1llhbar/DeltaE.

A theory of light transmission through a quantum well (QW) in a magnetic field perpendicular to t... more A theory of light transmission through a quantum well (QW) in a magnetic field perpendicular to the QW plane is developed. The light wave length is supposed comparable with the QW width. The formulas for reflection, absorption and transmission take into account the spatial dispersion of the light monochromatic wave and a difference of the refraction indexes of the QW and barrier. We suppose a normal light incidence on the QW plane and consider only one excited energy level. These two factors influence mostly light reflection, since an additional reflection from the QW borders appears to the reflection due to interband transitions in the QW. The most radical changes in reflection appear when a radiative broadening of the excited energy level is small in comparison to a nonradiative broadening. Our theory is limited by the condition of existence of size-quantized energy levels which is satisfied for quite narrow QW's.

Recibido el 22 de junio de 2001; aceptado el 13 de febrero de 2004 It is shown that non-sinusoida... more Recibido el 22 de junio de 2001; aceptado el 13 de febrero de 2004 It is shown that non-sinusoidal oscillations appear in transmitted, reflected and absorbed light fluxes when light pulses irradiate a semiconductor quantum well (QW) containing a large number of equidistant energy levels of electronic excitations. The oscillation amplitude is comparable to the flux values for short pulses with the duration γ −1 l ≤ /∆E. A damped echo of the exciting pulse appears in the time intervals 2π /∆E for very short light pulses γ −1 l /∆E. Symmetric and asymmetric pulses with a sharp front are considered. Our theory is applicable to narrow QW's in a quantizing magnetic field when the equidistant energy levels correspond to the electron-hole pairs with different Landau quantum numbers.

The method of detection and investigation of the magnetopolaron effect in the semiconductor quant... more The method of detection and investigation of the magnetopolaron effect in the semiconductor quantum wells (QW) in a strong magnetic field, based on pulse light irradiation and measuring the reflected and transmitted pulses, has been proposed. It has been shown that a beating amplitude on the frequencies, corresponding to the magnetopolaron energy level splitting, depends strongly on the exciting pulse width. The existence of the time points of the total reflection and total transparency has been predicted. The high orders of the perturbation theory on electron-electromagnetic field interaction have been taken into account.

It has been shown that the non-sinusoidal character oscillations appear in the transmitted, refle... more It has been shown that the non-sinusoidal character oscillations appear in the transmitted, reflected and absorbed light fluxes when light pulses irradiate a semiconductor quantum well (QW), containing a set of a large number of the equidistant energy levels of electronic excitations. The oscillation amplitude is comparable to the flux values for the short pulses, duration of which \gamma_l^{-1} \leq \hbar/\Delta E. A damping echo of the exciting pulse appears through the time intervals 2\pi\hbar/\Delta E in the case of the very short light pulses \gamma_l^{-1}\ll \hbar/\Delta E. Symmetrical and asymmetrical pulses with a sharp front have been considered. Our theory is applicable for the narrow QWs in a strong magnetic field, when the equidistant energy levels correspond to the electron-hole pairs with different Landau quantum numbers.

The light absorption {\cal A} and reflection{\calR} coefficients for a three-level system in a qu... more The light absorption {\cal A} and reflection{\calR} coefficients for a three-level system in a quantum well (QW) in a strong magnetic field {\bf H}, directed perpendicularly to the QW's plane, have been calculated. The energy levels correspond to the ground state and to magnetopolaron energy levels \hbar\omega_{1(2)} with the inverse lifetimes \gamma_{r1(2)} and \gamma_{1(2)}. The inverse radiative lifetime of an EHP in a QW \gamma_{r\xi}(\bf{\cal K}_{\perp})\not=0 only under condition {\cal K}_{\perp}\le\omega_\xi n/c, where \hbar\omega_\xi is the EHP energy. It has been shown that \gamma_{r\xi}(\bf{\cal K}_{\perp}) is proportional to H. The values \gamma_{ra}(\bf{\cal K}_{\perp}) and \gamma_{rb}(\bf{\cal K}_{\perp}) for an excitation consisting of a hole and a usual magnetopolaron have been calculated. The index a(b) designates a magnetopolaron upper (lower) term. In the resonance at H_{res}=m_ec\omega_{LO}/|e|~~ \gamma_{ra}^{res}=\gamma_{rb}^{res}=\gamma_{r\xi_0}^{res}/2, where the index \xi_0 corresponds to the EHP with n_e=n_h=1. The dependencies {\cal A}(H)$ and ${\cal R}(H) for various values of \omega_l in the magnetophonon resonance vicinity have been obtained. The existence of "combined"and "weak" polarons has been predicted. The resonant value H_{res} for the combined polaron case depends on a QW's depth and width.