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 software to process 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 heritage is defined. This version is meant for academic reasons and it really is noted a miniaturized spectrophotometer. © 2011 Wiley Periodicals, Inc. Comput Appl Eng Educ 22:187-194, 2014; View this article on-line at wileyonlinelibrary.com/journal/cae; DOI 10.1002/cae.20544 Read more...
summary: This paper introduces a brand new device 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 heritage is defined. This version is meant for academic reasons and it truly is observed 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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Extra resources for A numerical simulation model to facilitate the understanding of the properties of a diffraction grating
A Bessel beam exists in the region of interference. 4 Generation of a Bessel beam with an axicon. On the other hand, a hologram with transmittance function t(ρ, φ) can generate Bessel beams. 32) where D is the size of the hologram. The diffraction pattern of the Bessel beam shows a very strong central spot surrounded by large number of rings. The rings can be suppressed. However, the intensity in the central spot is weaker than that of a Gaussian beam of comparable size. Only first-order Bessel beams can be generated with an axicon, while a hologram generates beams of several orders.
For z z0 , w(z) → w0 , R(z) → ∞, and tan−1 (z/z0 ) = 0. There is no radial phase variation if R → ∞. For the far field • The curvature increases linearly with z. • The beam radius increases linearly with z. • For z z0 , ω(z) = λz/πω0 , R(z) = z, and tan−1 (z/z0 ) ≈ π/2. 2 shows the variation of the amplitude as the beam propagates. 2 A Gaussian beam. 17) It has its peak value I0 at z = 0, and keeps decreasing with increasing z. The value drops to 50% of the peak value at z = ±z0 . 8 ABCD MATRIX APPLIED TO GAUSSIAN BEAMS The propagation of a ray through optical elements under the paraxial approximation (linear optics) can be described by 2 × 2 matrices.
Vaughan, Optical helices and spiral interference fringes, Opt. , 106, 161–166, 1994. 8. M. Padgett and L. Allen, Light with a twist in its tail, Contemp. , 41, 275–285, 2000. 9. P. Muys and E. Vandamme, Direct generation of Bessel beams, Appl. , 41, 6375–6379, 2002. 10. V. Garcés-Chávez, D. McGloin, H. Melville, W. Sibbett, and K. Dholakia, Simultaneous micromanipulation in multiple planes using a self-reconstructing light beam, Nature 419, 145–147, 2002. 11. Miguel A. Bandres, Julio C. Gutiérrez-Vega, and S.