Gaussian mode

Gaussian mode Gaussian plume model Gauss-Seidel Gauzes Gaylusite... 

The TEMqq mode is a specially desirable case. This transverse mode, the Gaussian mode, is symmetric and has no nulls. It is preferred for many apphcations. Its intensity / as a function of radius r from the center of the beam is given by the equation... 

Telnic bronze, 24 426 Telo-inertinite, 6 707t Telomeres, 17 610, 2 814 Telomer formation, 11 865 Telomerization, 2 261 butadiene, 4 374-375 TEMoo mode, 14 683. See also Gaussian mode (TEMoo)... 

Gaussian mode effect on industrial hygiene [INDUSTRIALHYGIENE] (Vol 14) [LASERS] (Vol 15)... 

The measurements were performed on three detectors. Two detectors, a Ge(Li) and a p-type, were connected to PGT 386 amplifiers. One of the amplifiers operated with a shaping time of 4 ps and the base-line restorer threshold set to VAR. With the second detector connected to the amplifier operating at 3 ps two sets of measurements were made one with the base-line restorer threshold set to AUTO and the other with the base-line restorer threshold set to VAR. The thresholds of the base-line restorers set to VAR were adjusted manually to minimize the tails of the pulser peak at low count rates. The third detector was a low-energy detector connected to an OR-TEC 573 amplifier operating with a shaping time of 6 ps and in the Gaussian mode. This amplifier was equipped with an automatic base-line restorer. The third detector was used in order to see how different amplifiers influence the performance of the pulser peak method. 

The reduced Raman spectra of dioxane aqueous solutions are well distinguished by a superposition of three characteristic modes of water and one Gaussian mode of dioxane. The concentration dependence of the spectra indicates that the mode of water disappears below about 0.8 molar fraction of water molecules in fact this molar fraction corresponds to a ratio of four water molecules to one dioxane. This result suggests that the well-defined tetrahedral stmcture consisting of five water molecules is largely disrupted by the penetration of dioxane molecules above a 0.2 mole fraction of dioxane, according to the Raman spectral experiments [21]. 

Thrtugnanasambandam MP, Senatsky Y, Ueda K (2010) Generation of very-high order Laguerre-Gaussian modes in Yb YAG ceramic laser. Laser Phys Lett 7 637-643... 

This is the rate per atom and so to obtain a value for the signal expected in an experiment we must consider the laser beam geometry and the number density n of hydrogen atoms. Here I will assume that the laser beam can be described by the lowest order TEMoo Gaussian mode. The power per unit area of each beam is then given by... 

Note It is common to describe a Gaussian mode of a laser by the electric field distribution... 

As stated above, the transverse mode components determine the intensity distribution over the cross-section of the beam. The simplest (basic) mode solution when solving the wave equation for a cylindrical-symmetric resonator is the so-called Gaussian mode, which yields for the beam intensity distribution... 

The Gaussian mode is a specific case of the more generalized Hermite-Gaussian (HG) modes these are also referred to as transverse electromagnetic (TEM) modes. The TEM modes carry indices / and m, namely TEM/ where / is the number of intensity minima in the direction of the electric field oscillation, and m is the number of minima in the direction of the magnetic field oscillation (basically, the formula describing the TEMqo mode distribution (Equation (3.4)) is modified by multiplication with so-called Hermite polynomials Him x,y, 2 L). 

The shaped mode consists of forming an image of a primary beam aperture on the sample s surface (one form is referred to as Kohler illumination). Under this condition, the beam spot size remains independent of the primary ion current (the spot size is larger than under Gaussian mode). As the current density across the spot remains constant, rastering of the beam is then not necessary, although sometimes still applied. This mode of operation can be used when imaging in the microscope mode (see Section 5.3.2.2) and/or when carryout analysis where detector dead-time effects should be minimized (see Section 4.2.3.3.3.2). 

Imaging mode also referred to as Unbunched mode. This is used when a finely focused beam is needed. As this requires the Gaussian mode of focusing, the spot size scales with the primary ion beam current. 

The most simple optical trap for cold atoms consists of a single focused beam formed by the TEMqo Gaussian mode. For a Gaussian beam propagating along the z-axis and with its focus at the origin of coordinates (x,y,z = 0), the beam intensity varies as /(r) = I 0) wo/w) exp( —(a 2 + y )fw ), where wp is the beam radius, which depends... 

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