We introduce a class of random stationary, scalar source named as multi-cosine-Laguerre-Gaussian-correlated Schell-model (McLGCSM) whose spectral degree coherence (SDOC) is combination the Laguerre-Gaussian correlated (LGCSM) and multi-cosine-Gaussian (McGCSM) sources. The analytical expressions for density function propagation factor McLGCSM beam propagating in turbulent atmosphere are derived. statistical properties, such intensity factor, illustrated numerically. It shown that exhibits...

We propose a new kind of partially coherent beam with nonconventional correlation function termed as Hermite-cos-Gaussian correlated Schell-model (HcGCSM) beam. The propagation properties this novel model are investigated. It is found that the HcGCSM exhibits cascade self-splitting on in free space, i.e. , initial single spot proved to be successively split for two times during whole propagation. Furthermore, we demonstrate phenomenon can closely controlled through modulating spectral degree...

Propagation properties of astigmatic sinh-Gaussian beams (ShGBs) with small beam width in turbulent atmosphere are investigated. Based on the extended Huygens–Fresnel integral, analytical formulae for average intensity and effective size an ShGB derived atmosphere. The distribution spreading propagating numerically demonstrated. influences parameters structure constant atmospheric turbulence propagation ShGBs also discussed detail. In particular, sufficiently sinh-part parameter as well...

Using the operator transformation technology, we extend circular Gaussian beam based virtual (complex) sources method to investigate paraxial and nonparaxial propagation properties of elliptical beams (EGBs) with planar or cylindrical wavefronts travelling in free space. The approximation analysis reveals self-reappearance self-focusing features for EGBs wavefront under proper parameter conditions. We further introduce theory derive analytical expressions field distribution an EGB space,...

Based on the Snyder and Mitchell model, a closed-form propagation expression of astigmatic sin-Gaussian beams through strongly nonlocal nonlinear media (SNNM) is derived. The evolutions intensity distributions corresponding wave front dislocations are discussed analytically numerically. It generally proved that light field distribution varies periodically with distance. Furthermore, it demonstrated astigmatism edge dislocation nested in initial greatly influence pattern configurations phase...

We introduce a non-diffracting beam family as new solution of the scalar Helmholtz equation in Cartesian coordinates whose complex amplitude is mainly described by Tricomi functions and characterized four parameters. Based on proposed model, on-axial, off-axial, asymmetrical Bessel beams can be obtained special cases through appropriate selection show that both intensity phase distributions tailored controlled manner modulation angular spectra frequency space, enabling transverse pattern to...

We derive an analytical propagation expression for the Airy-Gaussian beam propagating through a thin lens, and calculate numerical examples to investigate its focusing properties. It is shown that pattern formed in focus plane can be controlled demonstrate various geometries tuning parameters associated with Airy function part. Moreover, we influence of Fresnel number on properties, find decreasing values not only increase size spot, but also enhance depth field effectively. Our results...

In this work, we develop a novel method of creating dark hollow beam with vortex by converting sine-Gaussian (SeGB) edge-dislocation and astigmatism through using fractional Fourier transform (FrFT) optical system. On the basis definition FrFT, an analytical transformation formula is derived for astigmatic SeGB passing such By use formulae, changes intensity distribution corresponding phase properties associated transforming SeGBs are analytically discussed in detail. It found that input...

Abstract Through investigating the sinh-Gaussian beam with complex parameters, it is first time to find that such beams can carry vortices and exhibit dark hollow intensity distributions when parameters are sufficiently small. A closed-form propagation equation for through paraxial ABCD optical systems derived based on Collins formula illustrated numerical methods. It shown perfect configuration retain a quite long propagating distance under small parameters. The analytical discussions...

Partially coherent beams with nonconventional correlation functions have been extensively studied due to their wide and important applications in free-space optical communication, particle trapping, image transmission encryption. Here, we study the propagation of nonuniform cosine-Gaussian correlated Bessel-Gaussian beam (cGBCB) detail. Analytical expressions for cross-spectral density function cGBCBs through paraxial ABCD system are derived based on extended Huygens-Fresnel integral. By use...

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We introduce a new kind of random stationary, scalar beam named Laguerre-cosine-Gaussian correlated Schell-model (LcGCSM) whose spectral degree coherence (SDOC) is Gaussian function modulated by both non-conventional Laguerre- and cosine-type factors. The analytical expressions for the cross-spectral density LcGCSM propagating through paraxial ABCD optical system are derived. intensity distributions such beams focused thin lens illustrated numerically. It found that exhibits self-splitting...

We propose a new, to the best of our knowledge, and very general finite power beam solution paraxial wave equation (PWE) in Cartesian coordinates by introducing an exponential differential operator on existing PWE term it as "finite-energy generalized Olver beam." Applying analytical expressions for field distributions, we study evolution intensity, centroid, variance these beams during free-space propagation. Our findings demonstrate that new exhibit diffraction-resistant profile along...

The propagation properties of a double-half inverse Gaussian hollow beam (DHIGHB) in oceanic turbulence are investigated. Based on the extended Huygens-Fresnel integral, analytical formulae for average intensity DHIGHB is derived turbulence. distribution and spreading numerically demonstrated. influences parameters structure constant also discussed detail. It demonstrated that when initial width strength properly selected, exhibits multi-ring or single-ring configuration during

Airy beams have received considerable attention due to their unique features on propagation, including non-spreading, self-healing, self-accelerating, and parabolic trajectories. Here in this work we study the propagation of linearly polarized with an added spherical phase uniaxial crystal orthogonal optical axis. Based beam transmission theory crystals, analytical expressions for intensity distribution different view planes are derived. Numerical calculations performed some novel presented...

We use the extended Huygens-Fresnel integral to investigate propagation properties of a cos-Gaussian beam (cosGB) with astigmatism in atmospheric turbulence. The intensity distribution behaviour along distance for an astigmatic cosGB turbulence are analytically and numerically demonstrated. Some novel phenomena presented graphically, indicating that on-axial closely depend on parameter turbulent structure constant cosGBs

The propagation behaviours of a sin-Gaussian beam (SiGB) with astigmatism in oceanic water is analysed. analytical expressions for the average intensity such are derived by using extended Huygens-Fresnel integral. Its and on-axial distributions numerically examined. Then, we mainly focus on effect parameters medium structure constant astigmatic SiGBs water, revealing that evolutions can be effectively modulated adjusting parameter, coherence length atmosphere turbulence strength.

A double-half inverse Gaussian hollow beam with vortex (VDHIGHB) is introduced. As a generalization of the doublehalf (DHIGHB), such novel beams can be easily realized in laboratory using spiral phase plates or computer-generated holograms. Based on Huygens-Fresnel integral and complex function expansion hard aperture function, analytical formulae for propagation VDHIGHBs through free space derived theoretically. Their intensity distribution properties are numerically examined. It found that...