scholarly journals ON THE THEORY OF ONE-PHOTON ABSORPTION OF POLARIZED LIGHT IN NARROW-GAP CRYSTALS. EXCLUDING THE EFFECT OF COHERENT SATURATION

2021 ◽  
Vol 5 (1(82)) ◽  
pp. 53-56
Author(s):  
Y. Rustam ◽  
B. Bakhodir ◽  
A. Islombek ◽  
G. Shermatova ◽  
Sh. Boymuradova
Keyword(s):  
Spectral Dependence ◽  
Polarized Light ◽  
Point Of View ◽  
Photon Absorption ◽  
Matrix Elements ◽  
Narrow Gap ◽  
Light Absorption Coefficient ◽  
Absorption Of Light ◽  
The Matrix ◽  
Band Absorption

In this work, from a microscopic point of view, the linear-circular dichroism of one-photon between band absorption of light in the Kane approximation in narrow-gap crystals is investigated. The matrix elements of onephoton interband optical transitions and the spectral dependence of the light absorption coefficient are calculated.

scholarly journals ON THE THEORY OF ONE-PHOTON ABSORPTION OF POLARIZED LIGHT IN NARROW-GAP CRYSTALS. TAKING INTO ACCOUNT THE EFFECT OF COHERENT SATURATION

2021 ◽  
Vol 5 (1(82)) ◽  
pp. 56-59
Author(s):  
Ya. Rustam ◽  
B. Bakhodir ◽  
M. Ikbol ◽  
N. Shokhrukh
Keyword(s):  
Circular Dichroism ◽  
Polarized Light ◽  
Point Of View ◽  
Photon Absorption ◽  
Narrow Gap ◽  
Light Absorption Coefficient ◽  
Absorption Of Light ◽  
The Matrix ◽  
Band Absorption ◽  
Circular Dichroïsm

In the article, from a microscopic point of view, the linear-circular dichroism of one-photon between band absorption of light in the Kane approximation in narrow-gap crystals is investigated. The linear-circular dichroism of one-photon absorption of polarized light is calculated taking into account the effect of coherent saturation in photoexcited charge carriers. The matrix elements of one-photon interband optical transitions and the corresponding linear-circular dichroism and the spectral dependence of the light absorption coefficient are calculated.

scholarly journals Two and three photonic linear circular dichroisms in semiconductors with cubic symmetry

2020 ◽  
pp. 173-178
Author(s):  
R.Ya. Rasulov ◽  
◽  
V. R. Rasulov ◽  
I. Eshboltaev ◽  
R.R. Sultonov ◽  
...  
Keyword(s):  
Polarized Light ◽  
Photon Absorption ◽  
Optical Transitions ◽  
Matrix Elements ◽  
Hole Conductivity ◽  
Cubic Symmetry ◽  
Simultaneous Absorption ◽  
Absorption Of Light ◽  
The Matrix ◽  
Temperature Dependences

The linear-circular dichroism of two and three photon absorption of light in semiconductors with cubic symmetry of hole conductivity is theoretically investigated. The matrix elements of two and three-photon optical transitions occurring between the subbands of the semiconductor valence band are calculated. In this case, transitions associated with both non-simultaneous absorption of individual photons and simultaneous absorption of two photons are taken into account, and the spectral and temperature dependences of the coefficient of two and three-photon absorption of polarized light are determined.

scholarly journals Двух- и трехфотонный линейно-циркулярный дихроизм в полупроводниках кубической симметрии

2020 ◽  
Vol 54 (11) ◽  
pp. 1181
Author(s):  
В.Р. Расулов ◽  
Р.Я. Расулов ◽  
Р.Р. Султонов ◽  
Б.Б. Ахмедов
Keyword(s):  
Photon Absorption ◽  
Optical Transitions ◽  
Matrix Elements ◽  
Hole Conductivity ◽  
Cubic Symmetry ◽  
Simultaneous Absorption ◽  
Absorption Of Light ◽  
The Matrix ◽  
Temperature Dependences ◽  
Polarized Radiation

The linear-circular dichroism of two and three photon absorption of light in semiconductors of cubic symmetry of hole conductivity is theoretically investigated. The matrix elements of two and three-photon optical transitions occurring between the subbands of the semiconductor valence band are calculated. In this case, transitions associated with both non-simultaneous absorption of individual photons and simultaneous absorption of two photons are taken into account, and the spectral and temperature dependences of the coefficient of two and three-photon absorption of polarized radiation are determined.

scholarly journals Interband Multiphoton Absorption of Light in Narrow-Gap Crystals

2021 ◽  
Vol 3 (5) ◽  
pp. 51-57
Author(s):  
V. R. Rasulov ◽  
R. Ya. Rasulov ◽  
I. M. Eshboltaev ◽  
M. X. Qo’chqorov
Keyword(s):  
Numerical Analysis ◽  
Spectral Dependence ◽  
Photon Absorption ◽  
Multiphoton Absorption ◽  
Optical Transitions ◽  
Narrow Gap ◽  
Kane Model ◽  
Simultaneous Absorption ◽  
Absorption Of Light ◽  
Circular Dichroïsm

The spectral dependences of the coefficients of interband three-photon optical transitions for InSb and for some optical transitions are calculated and a numerical analysis of the coefficient of interband three-photon absorption of light is carried out, which taken into account the contribution to the three-photon absorption of optical transitions occurring during the simultaneous absorption of two photons in the Kane model. Interband three-photon optical transitions in crystals of the InSb and type are classified, and the spectral dependence of some optical transitions is analyzed. The coefficient of linear-circular dichroism of interband three-photon absorption in a crystal in the Kane model is calculated.

scholarly journals Межзонный двухфотонный линейно-циркулярный дихроизм в полупроводниках в приближении Кейна

2022 ◽  
Vol 56 (1) ◽  
pp. 61
Author(s):  
В.Р. Расулов ◽  
Р.Я. Расулов ◽  
Б.Б. Ахмедов ◽  
И.А. Муминов
Keyword(s):  
Circular Dichroism ◽  
Photon Absorption ◽  
Degree Of Polarization ◽  
Optical Transitions ◽  
Narrow Gap ◽  
Two Photon Absorption ◽  
Narrow Gap Semiconductors ◽  
Two Photon ◽  
Absorption Of Light ◽  
Circular Dichroïsm

Interband two-photon optical transitions are classified and expressions are obtained for the matrix elements in a narrow-gap semiconductor depending on the band parameters, degree of polarization, and light frequency. It is shown that the main contribution to two-photon linear-circular dichroism in narrow-gap semiconductors is made by optical transitions proceeding from the subband of light holes to the conduction band. The dependences of the partial coefficients of interband two-photon absorption of light, which differ from each other by the types of optical transitions, are analyzed depending on the degree of polarization of the light, and a quantitative analysis of the coefficient of linear-circular dichroism of two-photon absorption of light is carried out. Expressions are obtained for the spectral dependence of the coefficient of interband two-photon absorption of light in narrow-gap semiconductors in the Kane model.

scholarly journals INTERBAND MULTIPHOTON ABSORPTION OF LIGHT IN THE KANE MODEL

2021 ◽  
pp. 205-213
Author(s):  
Voxob Rustamovich Rasulov ◽  
Rustam Yavkachovich Rasulov ◽  
Iqboljon Mamirjonovich Eshboltaev ◽  
Mavzurjon Xursandboyevich Qo’chqorov
Keyword(s):  
Numerical Analysis ◽  
Key Words ◽  
Spectral Dependence ◽  
Photon Absorption ◽  
Multiphoton Absorption ◽  
Optical Transitions ◽  
Kane Model ◽  
Simultaneous Absorption ◽  
Absorption Of Light ◽  
Circular Dichroïsm

The spectral dependences of the coefficients of interband three-photon optical transitions for InSb and for some optical transitions are calculated and a numerical analysis of the coefficient of interband three-photon absorption of light is carried out, which taken into account the contribution to the three-photon absorption of optical transitions occurring during the simultaneous absorption of two photons in the Kane model. Interband three-photon optical transitions in crystals of the InSb and type are classified, and the spectral dependence of some optical transitions is analyzed. The coefficient of linear-circular dichroism of interband three-photon absorption in a crystal in the Kane model is calculated. KEY WORDS: interband three-photon optical transitions, spectral dependence, crystal.

scholarly journals On the Modular Operator of Mutli-component Regions in Chiral CFT

2021 ◽  
Author(s):  
Stefan Hollands
Keyword(s):  
Field Theory ◽  
Integral Equation ◽  
Hilbert Problem ◽  
Matrix Elements ◽  
New Approach ◽  
Conformal Field ◽  
The Matrix ◽  
Kms Condition ◽  
Modular Operator ◽  
Riemann Hilbert Problem

AbstractWe introduce a new approach to find the Tomita–Takesaki modular flow for multi-component regions in general chiral conformal field theory. Our method is based on locality and analyticity of primary fields as well as the so-called Kubo–Martin–Schwinger (KMS) condition. These features can be used to transform the problem to a Riemann–Hilbert problem on a covering of the complex plane cut along the regions, which is equivalent to an integral equation for the matrix elements of the modular Hamiltonian. Examples are considered.

scholarly journals Analytical angular solutions for the atom–diatom interaction potential in a basis set of products of two spherical harmonics: two approaches

2021 ◽  
Author(s):  
Mariusz Pawlak ◽  
Marcin Stachowiak
Keyword(s):  
Spherical Harmonics ◽  
Interaction Potential ◽  
Chem Phys ◽  
Basis Set ◽  
Matrix Elements ◽  
Trigonometric Functions ◽  
Variational Theory ◽  
Molecular Collision ◽  
The Matrix ◽  
Analytical Expressions

AbstractWe present general analytical expressions for the matrix elements of the atom–diatom interaction potential, expanded in terms of Legendre polynomials, in a basis set of products of two spherical harmonics, especially significant to the recently developed adiabatic variational theory for cold molecular collision experiments [J. Chem. Phys. 143, 074114 (2015); J. Phys. Chem. A 121, 2194 (2017)]. We used two approaches in our studies. The first involves the evaluation of the integral containing trigonometric functions with arbitrary powers. The second approach is based on the theorem of addition of spherical harmonics.

scholarly journals On the absorption of light by crystals

1938 ◽  
Vol 167 (930) ◽  
pp. 384-391 ◽  
Keyword(s):  
Absorption Spectrum ◽  
Wave Length ◽  
Short Wave ◽  
Point Of View ◽  
Theoretical Point ◽  
Lattice Vibrations ◽  
Short Wave Length ◽  
Continuous Absorption ◽  
Absorption Of Light ◽  
Positive Hole

The purpose of this paper is to discuss the absorption of light by non-metallic solids, and in particular the mechanism by which the energy of the light absorbed is converted into heat. If one considers from the theoretical point of view the absorption spectrum of an insulation crystal, one finds that it consists of a series of sharp lines leading up to a series limit, to the short wave-length side of which true continuous absorption sets in (Peierls 1932; Mott 1938). In practice the lattice vibrations will broaden the lines to a greater of less extent. When a quantum of radiation is absorbed in the region of true continuous absorption, a free electron in the conduction band and a "positive hole" are formed with enough energy to move away from one another and to take part in a photocurrent within the crystal. When, however, a quantum is absorbed in one of the absorption lines , the positive hole and electron formed do not have enough energy to separate, but move in one another's field in a quantized state. An electron in a crystal moving in the field of a positive hole has been termed by Frenkel (1936) an "exciton".

Sign in / Sign up

Export Citation Format

Share Document