cosh-Gaussian Beams Research Articles

Research on focusing of a triangle-exponential function modulation spiral polarization cosh-Gaussian vortex beam

The focus pattern of a triangle-exponential function modulation spiral polarized hyperbolic-cosine-Gaussian (cosh-Gaussian) vortex beam is examined according to the vector diffraction theory and the focus intensity with different parameters is disputed. By adjusting the polarization parameter C, the number of the focusing peaks can be changed: Specifically, as the absolute value of the polarization parameter C augments, so does the number of the focus peaks. When the beam parameter β is modified, the focus pattern is compressed and stretched in both the axial and radial directions, respectively, which helps to precisely adjust the shape of the focus pattern in the focus region. Meanwhile, the trigonometric modulation parameter l can change the axial component of the focus region. With a change in the trigonometric modulation parameter l, the focus pattern finally evolves into the light-like chain structure and the position of the focus peak in the axial direction also can be controlled. This shows that the correlation properties enrich our understanding of the cosh-Gaussian vortex beam. Therefore, cutting-edge optical applications including optical transmission, optical shaping, and multiple optical sensing could benefit from these results.

Axial intensity of Bessel higher-order cosh-Gaussian beam propagating in a turbulent atmosphere

Axial intensity of Bessel higher-order cosh-Gaussian beam propagating in a turbulent atmosphere

Propagation behavior of a generalized Hermite cosh-gaussian laser beam through marine environment

Propagation behavior of a generalized Hermite cosh-gaussian laser beam through marine environment

Oceanic turbulent effect on the received intensity of a generalized Hermite cosh-Gaussian beam

Oceanic turbulent effect on the received intensity of a generalized Hermite cosh-Gaussian beam

Propagation of hollow higher-order cosh-Gaussian beam in human upper dermis

Optical detection, measurement, and treatment methods are widely used in the medical industry nowadays. The evolution of radiated beams, received power and beam size play vital roles while developing devices. The propagation properties of hollow higher-order cosh-Gaussian beam (HHOCGB) while propagating in human upper dermis tissue are derived analytically and analyzed numerically. The impact of the hollowness parameter, beam order, operating wavelength, and Gaussian beam waists on the beam’s intensity profile is examined. Received power and beam size variations are analyzed considering operating wavelength and Gaussian waist width. According to the results, as the beam propagates, its profile rapidly evolves into a shape with a circular Gaussian peak in the center and petals at the corner. Dark hollow regions are observed among the petals. Furthermore, the received power by HHOCGBs with a higher Gaussian waist width is more than those received by beams with a lower Gaussian waist width. However, at far field, operating at a lower wavelength prevents the increase of the beam spread. Thus, the obtained results will be significant in the bio-optical disease detection and treatment technology development.

Spectrum changes of pulsed chirped Generalized Hermite cosh-Gaussian beam through turbulent biological tissues

The main objective of this study is to investigate the development of the spectral intensity profile of a pulsed chirped Generalized Hermite cosh Gaussian (GHCG) beam through turbulent biological tissues. This is achieved using Schmitt's model for the power spectrum refractive index, the extended Huygens-Fresnel integral, and the Fourier Transform method. Graphical representations need to be generated to explore the effects of beam parameters and biological turbulence parameters on the considered beam. Furthermore, a thorough discussion is conducted to examine the influence of both optical parameters and biological tissue characteristics on spectral shifts at various observation positions. The findings hold potential applications in image recognition, medical devices, and the noninvasive optical diagnosis of biological tissue.

Introduction of Bessel higher-order cosh-Gaussian beam and its propagation through a paraxial ABCD optical system

Introduction of Bessel higher-order cosh-Gaussian beam and its propagation through a paraxial ABCD optical system

A detailed investigation of a Generalized Hermite cosh-Gaussian beam propagating in uniaxial crystals orthogonal to the optical axis

A detailed investigation of a Generalized Hermite cosh-Gaussian beam propagating in uniaxial crystals orthogonal to the optical axis

A comprehensive investigation on the propagation properties of a generalized Hermite cosh-Gaussian beam through atmospheric turbulence

A comprehensive investigation on the propagation properties of a generalized Hermite cosh-Gaussian beam through atmospheric turbulence

Second-order coherence and polarization characteristics of partially coherent radially polarized cosh-Gaussian vortex beams in a turbulent atmosphere

The second-order coherence and polarization characteristics of partially coherent radially polarized cosh-Gaussian vortex (PCRPChGV) beams in atmospheric turbulence are investigated based on the extended Huygens–Fresnel principle. The analytical propagation formulas of cross-spectral density matrix, average intensity and degree of polarization (DOP) for PCRPChGV beams in turbulence are derived. The influences of initial correlation length, cosh factor and turbulence intensity on average intensity, on-axis intensity and DOP of PCRPChGV beams are examined numerically. Results show that with increasing propagation distance, the PCRPChGV beam evolves from the initially separated double-lobe spot into overlapping double-lobe spot, and Gaussian spot. The corresponding intensities of the two Cartesian components of light field rotate markedly around the beam axis in a unique manner. Initial correlation length and cosh factor have an obvious influence on the position and size of normalized on-axis intensity peak, respectively. In addition, PCRPChGV beams in moderate turbulence have strong anti-turbulence ability.

Propagation of General Model vortex higher-order cosh-Gaussian beam in maritime turbulence

Propagation of General Model vortex higher-order cosh-Gaussian beam in maritime turbulence

The effects of atmospheric turbulence on the spectral changes of diffracted pulsed hollow higher-order cosh-Gaussian beam

The effects of atmospheric turbulence on the spectral changes of diffracted pulsed hollow higher-order cosh-Gaussian beam

Study of propagation of skew cosh Gaussian laser beam in attenuated magneto plasma

Self-focusing of a laser beam is one of the major consequences of nonlinear interaction of laser with plasma. In this paper, self-focusing of skew cosh Gaussian (skew-ChG) laser beam is studied in anisotropic, collisional plasma where in externally exponentially decreasing magnetic field is applied. Skewness parameters in the field profile of skew-ChG laser beam eventually determine intensity profile of the beam. The symmetry in skewness parameter in two transverse directions simplifies the calculations considerably. Second order, nonlinear, ordinary, coupled differential equations for Beam Width Parameters (BWP) are obtained using Akhmanovs approach under Wentzel–Kramers–Brillouin (WKB) and paraxial approximations which are solved numerically. For given amplitude of applied magnetic field, attenuated oscillatory self-focusing is observed with respect to change in attenuation coefficient.

Analyzing the spectral characteristics of a pulsed Laguerre higher-order cosh-Gaussian beam propagating through a paraxial ABCD optical system

Analyzing the spectral characteristics of a pulsed Laguerre higher-order cosh-Gaussian beam propagating through a paraxial ABCD optical system

Electron Bernstein wave aided Hermite cosh-Gaussian laser beam absorption in collisional plasma

In this paper, we theoretically study the electron Bernstein wave aided Hermite-Cosh-Gaussian laser beam absorption in collisional plasma with a static magnetic field. This laser beam may have the potential to couple the pre-existing electron Bernstein wave with the coupled wave frequency and wave number where and are the electron Bernstein wave and laser beam frequencies, respectively, and and are the electron Bernstein wave and laser beam wave numbers, respectively. The plasma electron oscillatory velocities associated with the coupled wave mode produce the linear and nonlinear current density. An expression for the nonlinear absorption coefficient of an electron Bernstein wave aided Hermite cosh-Gaussian laser beam is analytically derived and more concisely discussed via different relative graphs. The graphical results promise that the absorption coefficient is strongly dependent on Hermite mode index m, beam decentered parameter d associated with the cosh term, laser beam width, laser beam frequency, electron Bernstein wave frequency, electron cyclotron frequency, electron thermal velocity and collisional frequency. Nonlinear coupling, collision phenomena and laser beam decentered parameter (very sensitive parameter) play an important role in absorption processes. The association of a very small electron Bernstein wave frequency with the laser beam causes too much of an increase in the absorption coefficient compared to only the laser beam. This efficient nonlinear absorption process may be applicable to plasma electron heating and the harmonic generation process.

Filamentation instability in the interaction of high-order Hermite cosh Gaussian laser beam and inhomogeneous plasmas

Based on high order paraxial theory and WKB approximation, filamentation instability in the interaction of high-order Hermite cosh Gaussian laser beam (HchG) and inhomogeneous plasma is studied. By changing the initial light intensity parameters and the non-uniformity of plasma density, the effect of different mode indices beams propagating in uniform and non-uniform plasmas on self-focusing filamentation structures is investigated. The results show that the HchG laser beam exhibits obvious self-focusing and filamentation phenomena along propagation distance in inhomogeneous plasma under the effect of the ponderomotive force. It is found that the mode index of HchG and plasma inhomogeneity have significant effects on filamentation instability, the higher order mode indices of HchG laser beam can strengthen filamentation instability, and plasma inhomogeneity also can enhance filamentation instability. The results provide a useful theoretical basis for effectively regulating the filamentation instability, increasing the peak laser power and designing narrower pulse width lasers.

Properties of circular cosh-gaussian beams focused by a thin lens system under a turbulent atmosphere

The propagation of a Circular cosh-Gaussian beam (CiChGB) through a paraxial ABCD optical system in a turbulent atmosphere is investigated based on the extended Collins formula and Rytov theory. In particular, the analytical expression for the on-axis average intensity of a CiChGB focused by a thin lens in a turbulent atmosphere is derived in detail. From the obtained formula, the on-axis intensity distribution of the output beam is discussed numerically with a comparison to direct propagation in free space. The influences of the turbulence strength and initial beam parameters on the on-axis intensity are examined. It is found that the on-axis intensity near the focus region is less affected by atmospheric turbulence compared to the free space.

Spectral properties of pulsed Laguerre higher-order cosh-Gaussian beam propagating through the turbulent atmosphere

The formula for the propagation of pulsed Laguerre higher-order cosh-Gaussian (LHChG) beam in turbulent atmosphere is derived using the extended Huygens–Fresnel principle and the Fourier Transform method. The impact of atmospheric turbulence, transverse positions, and initial beam parameters on the spectral intensity of the propagated beam has been examined using graphical representations. The relative spectral shift of pulsed LHChG beam in turbulent atmosphere with different radial coordinates has also been studied and illustrated with numerical calculations. Analysis show that the spectral intensity depends on the structure constant of the refractive index, pulse duration, and beam order. On-axis spectral intensity is blue-shifted and off-axis spectral intensity is red-shifted with increasing radial coordinate. From our main results, one derive some published particular cases of the considered beam. The research results have potential applications in information coding and transmission.

Effect of an external magnetic field on the self-focusing of a cosh-Gaussian laser beam in plasma under the relativistic-ponderomotive effect

This work presents an analytical and numerical study of the relativistic-ponderomotive effect on self-focusing of an intense cosh-Gaussian laser beam in a collisionless magnetized plasma by considering an external magnetic field in the direction of propagation of the laser beam. The nonlinear differential equation for the beam width parameter/intensity of a cosh-Gaussian laser beam in a magnetized plasma is obtained by Wentzel–Kramers–Brillouin (WKB) and paraxial-ray approximations. The self-focusing of the cosh-Gaussian beam at different values of the magnetic field parameter is investigated. The results have also been compared to relativistic nonlinearity. The results show that the self-focusing effect of cosh-Gaussian beam in magnetized plasma becomes stronger, when relativistic and ponderomotive nonlinearities acts together. In addition, the self-trapping of cosh-Gaussian beam in magnetized plasma has also been studied. Numerical results are presented for the well-established laser and plasma parameters.

Generation of strong terahertz field by relativistic cosh-Gaussian laser beam in ripple density magnetized plasma

Generation of strong terahertz field by relativistic cosh-Gaussian laser beam in ripple density magnetized plasma