We present a relatively simple method for efficiently transforming a single high-order mode into a nearly Gaussian beam of much higher quality. The method is based on dividing the mode into equal parts that are then combined coherently. We illustrate the method by transforming a Hermite-Gaussian (1, 0) mode with M(x)(2)=3 into a nearly Gaussian beam with M(x)(2)=1. 045 . Experimental results ar...

The initial objective was to implement a 3D Gaussian beam model on multi-core, high-performance computing hardware in order to support mid and high frequency applications like reverberation modeling and acoustic channel simulation. As graphic processing unit or GPU hardware rapidly emerged as a compelling platform for such work, my objective became to adapt selected acoustic wave propagation mo...

The mathematical basis for the Gaussian entanglement is discussed in detail, as well as its implications in the internal space-time structure of relativistic extended particles. It is shown that the Gaussian entanglement shares the same set of mathematical formulas with the harmonic oscillator in the Lorentz-covariant world. It is thus possible to transfer the concept of entanglement to the Lor...

We describe features of the soft-gaussian beam-beam simulation code “TRS” and present sample results for the PEP-II e+e− collider. 1 DESCRIPTION OF THE CODE A basic experimental observation in e+e− colliders in stable operation is that the particle distribution density at the beam core is approximately gaussian, while the density at large amplitudes (a few σ’s away from the center) is not gauss...

Applying the temporal and spatial Fourier transform method, we obtain a nonparaxial pulsed beam solution, which is based on the paraxial pulsed beam solution, where the nonparaxiality is evaluated by using a series of expansions. Specifically, the general lowest-order correction field is given in an integral form. Some special examples, such as the lowest-order correction to the paraxial approx...

We study high-order harmonic generation (HHG) spectra by a focused truncated Bessel beam versus a Gaussian beam, including macroscopic propagation of the fundamental laser and harmonic fields in the gas medium, with the single-atom-induced dipole response calculated from the recently developed quantitative rescattering theory. We first simulate the HHG spectra of Ar by an 8-fs and 780-nm short ...

A concise method of deriving expressions for Gaussian-like solutions the paraxial and wave equation (i.e. 3D d’Alembert equation) is presented. This based on Hankel transform. Choosing some Gaussian base functions with slight modifications prefactor all basic beams cylindrical character can be easily obtained. refers to Gaussian, Bessel-Gaussian, modified Laguerre–Gaussian Kummer-Gaussian (i.e....

The present contribution is concern with an exact framebased expansion of planar initial time-harmonic electromagnetic fields. The propagating field is described as a discrete superposition of tilted and shifted electromagnetic beam waveobjects over the frame spatial-spectral lattice. Explicit asymptotic expressions for the electromagnetic Gaussian beam propagators are obtained for the commonly...

Transient thermal field in laser surface hardening treatment of medium carbon steel was analyzed by employing both three-dimensional analytical model and finite element model. In finite element model the laser beam was considered as a moving plane heat flux to establish the temperature rise distribution in the work-piece, while in analytical model laser beam was considered as an internal heat s...