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Join date: May 12, 2022

Radio Comercial is an online radio that aims to present all kinds of music and cultural information that gives it a special character. Most of its programs are done by a group of professionals and loyal listeners.Fold generation of Gaussian beam Fold generation of Gaussian beam (also known as Gaussian beam folding) is an optical effect resulting in the formation of higher-order (non-paraxial) Gaussian beams. When a Gaussian beam propagates through a region of high refractive index the wave front of the beam becomes "flattened" as a result of the curvature of the beam. When the local refractive index is low, the curvature of the wave front may become so small that it does not significantly change the beam profile. However, as the local refractive index becomes higher and higher, the curvature of the wave front eventually grows to become of the same order of magnitude as the Gaussian beam diameter. In this case, the beam profile becomes "folded" around the beam waist. Gaussian beam folding may be analyzed using an approximate plane-wave approach, starting from the paraxial wave equation for a Gaussian beam: where is the transverse wave vector, is the wavelength, and the real part of is set to 1 for brevity. The quantity is the Gouy phase and the quantity is the curvature of the wavefront. The local divergence angle is set to 0. In this approximation, the beam propagates through a region of refractive index. The paraxial wave equation may be solved by separating the real and imaginary parts: where the complex conjugate has been neglected for brevity. The equation for the transverse wave vector is then where the complex wave vector is related to the transverse wave number by The solution to the equation for is found by separating variables and integrating over the transverse coordinate: where the angle is the transverse coordinate, and is a radial coordinate related to the beam radius. The integral may be evaluated using the error function and the incomplete gamma function to give where is the Wronskian. The transverse wave number is related to the radial coordinate by and this implies The integral may