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Gaussian beams are considered in conditions of small beam divergence, in order to apply paraxial approximation. A mathematical expression for the calculation of complex electric field amplitude of a monochromatic beam, propagating along the z-direction with wavelength λ, is given by:

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COMSOLGaussian beam

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Oct 8, 2012 — I own and use both an Achromatic and an Apochromatic 120mm refractor and when used visually there is a slight difference. However this is only ...

Due to its broad transmission range and opacity in the visible portion of the spectrum, germanium is well suited for IR laser applications. As indicated by the ...

where:      E0 = peak amplitude      w0 = beam radius      k = wave number = 2π/λ      zR = Rayleigh number      R(z) = radius of curvature of wavefronts.

laguerre-gaussianbeam

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Following refraction by a diffraction-limited lens, a Gaussian beam is converted into another beam with a different set of parameters. The mathematical function representing the Gaussian beam is a resultant of the Helmholtz equation in paraxial form. This function is used to calculate the complex amplitude of the electric field of the beam.

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Mathematics of vectorialgaussianbeams

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Laguerre-Gaussian mode

A Gaussian beam is a beam of electromagnetic radiation with intensity distributions, and a transverse electric field represented by Gaussian functions. Gaussian beams are named after the physicist and mathematician Johann Carl Friedrich Gauβ.

Gaussian modes are the lowest order modes of an optical resonator, set along the transverse direction. A stable resonator will have homogeneous optical media, and a flat or parabolic surface between the media. Hence, lasers in the fundamental transverse mode often emit beams close to Gaussian shape.

Besselbeam

Reuven Silverman of Ophir discusses the critical role of M2 measurements in laser technology for optimization and quality control in various industries.

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Modes of high transverse order, on the other hand, are known as Laguerre-Gaussian, or Hermite-Gaussian, functions. Any deviation from a Gaussian beam shape can be estimated by the M2 factor. A Gaussian beam, having the highest beam quality, corresponds to M2 = 1.

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Bi-Convex or double-convex lenses have equal radii of curvature on both sides of the lens and work in a similar fashion to convex lenses in that they focus ...

The MIRcat Mid-IR Laser provides high-speed, broad-spectrum capabilities with peak tuning velocities up to 30,000 cm1/s.