Read e-book online A numerical simulation model to facilitate the understanding PDF

By Eduardo E Zurek Affiliation: Departamento de Ingeniería de Sistemas, Universidad del Norte, Km. 5 Vía a Puerto Colombia, Barranquilla, Colombia; Wilfrido A Moreno Affiliation: Electrical Engineering Department, University of South Florida, Tampa, FL 336

This paper introduces a brand new instrument to procedure the results of a diffraction grating and its interplay with different optical and digital elements in a gentle wavelength research method. The model's theoretical history is defined. This version is meant for tutorial reasons and it really is pointed out a miniaturized spectrophotometer. © 2011 Wiley Periodicals, Inc. Comput Appl Eng Educ 22:187-194, 2014; View this Read more...

summary: This paper introduces a brand new instrument to technique the consequences of a diffraction grating and its interplay with different optical and digital parts in a mild wavelength research process. The model's theoretical historical past is defined. This version is meant for tutorial reasons and it truly is pointed out a miniaturized spectrophotometer. © 2011 Wiley Periodicals, Inc. Comput Appl Eng Educ 22:187-194, 2014; View this text on-line at wileyonlinelibrary.com/journal/cae; DOI 10.1002/cae.20544

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Additional info for A numerical simulation model to facilitate the understanding of the properties of a diffraction grating

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Optical vortex solitons are formed in a self-defocusing medium when the effects of diffraction are offset by the refractive index variations in the nonlinear medium. 33) E (r, φ, z, t) ∝ −|l| exp(ilφ + ikz − iwt) r where E (r, φ, z, t) is the complex amplitude of a monochromatic light wave with frequency w and wavelength λ propagating along the z axis, and k = 2π/λ is the 15 Waves and Beams propagation vector. Both solutions have azimuthal phase dependence. 34) After one round trip of the wavefront around the z axis, there is a continuous transition into the next wavefront sheet, separated by lλ, which results in a continuous helicoidal wave surface.

However, there are several practical ways to create a beam that is a close approximation to a true Bessel beam, including diffraction at an annular aperture, focusing by an axicon, and the use of diffractive elements (holograms). 4 shows a schematic for producing Bessel beam using an axicon. A Gaussian beam is incident on the axicon, which produces two plane waves in conical geometry. These plane waves interfere to compensate for the spread of the beam. A Bessel beam exists in the region of interference.

Courtesy of D. P. ) 17 Waves and Beams equals the magnitude of the topological charge of the vortex beam. The circulation of the fringes depends upon the sign of the topological charge and the relation between the radius of curvature of the vortex and the reference wave. 38) where R (z) is the radius of curvature of the phase-singular beam. 40) cos − that is, kr 2 When the radius of curvature of the reference beam is larger than that of the vortex beam, that is, R0 > R(z), clockwise rotation of fringes corresponds to a positive value of the topological charge and anticlockwise rotation to a negative value.

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A numerical simulation model to facilitate the understanding of the properties of a diffraction grating by Eduardo E Zurek Affiliation: Departamento de Ingeniería de Sistemas, Universidad del Norte, Km. 5 Vía a Puerto Colombia, Barranquilla, Colombia; Wilfrido A Moreno Affiliation: Electrical Engineering Department, University of South Florida, Tampa, FL 336


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