Výsledky vyhledávání - "Israel Julián-Macías"

Exact and geometrical optics energy trajectories in Bessel beams via the quantum potential

Autor: Gilberto Silva-Ortigoza, Israel Julián-Macías, Ernesto Espíndola-Ramos, Ramón Silva-Ortigoza

Publikováno v: Journal of the Optical Society of America B. 40:620

The aim of the present work is to show that any monochromatic solution to the scalar wave equation in free space defines a conservative Hamiltonian system, describing a particle of mass m = 1 / 2 and energy E = 1 , under the influence of the so-calle

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::5f4b24c68b094c5ce8980d3def5ae048
https://doi.org/10.1364/josab.475745

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Classical characterization of quantum waves: comparison between the caustic and the zeros of the Madelung-Bohm potential

Autor: Gilberto Silva-Ortigoza, Ramón Silva-Ortigoza, Adriana González-Juárez, Ernesto Espíndola-Ramos, Citlalli Teresa Sosa-Sánchez, Israel Julián-Macías, Paula Ortega-Vidals, Omar de Jesús Cabrera-Rosas, Carolina Rickenstorff-Parrao

Publikováno v: Journal of the Optical Society of America. A, Optics, image science, and vision. 38(3)

From a geometric perspective, the caustic is the most classical description of a wavefunction since its evolution is governed by the Hamilton-Jacobi equation. On the other hand, according to the Madelung-de Broglie-Bohm equations, the most classical

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::74fd5bced0390fca362681e4143cedc1
https://pubmed.ncbi.nlm.nih.gov/33690458

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Exact mirror equation via Berry’s caustic touching theorem: plane and spherical mirrors

Autor: Gilberto Silva-Ortigoza, Israel Julián-Macías, Adriana González-Juárez, Ernesto Espíndola-Ramos, Ramón Silva-Ortigoza, Magdalena Marciano-Melchor

Publikováno v: Journal of the Optical Society of America A. 39:726

In this work, we assume that in free space we have an observer, a smooth mirror, and an object placed at arbitrary positions. The aim is to obtain, within the geometrical optics approximation, an exact set of equations that gives the image position o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b3ab0d15bc23a3da07d356c57ecba675
https://doi.org/10.1364/josaa.452843

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Refracting and reflecting interfaces transforming a given wavefront into another one

Autor: Ramón Silva-Ortigoza, Paula Ortega-Vidals, Edwin Román-Hernández, Adriana González-Juárez, Carolina Rickenstorff-Parrao, Israel Julián-Macías, Citlalli Teresa Sosa-Sánchez, Ernesto Espíndola-Ramos, Magdalena Marciano-Melchor, Omar de Jesús Cabrera-Rosas, Gilberto Silva-Ortigoza

Publikováno v: Journal of the Optical Society of America A. 38:1662

The aim of this work is threefold. First, following Luneburg and using our own notation, we review the Cartesian ovals. Second, we obtain analytical expressions for the reflecting and refracting surfaces that transform a prescribed smooth two-dimensi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::921011bfe041f3f959455c66e9d6db8e
https://doi.org/10.1364/josaa.431885

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The vector Durnin–Whitney beam

Autor: Omar de Jesús Cabrera-Rosas, Citlalli Teresa Sosa-Sánchez, Ernesto Espíndola-Ramos, Gilberto Silva-Ortigoza, Israel Julián-Macías

Publikováno v: Journal of the Optical Society of America A. 37:294

We show that ( E , H ) = ( E 0 , H 0 ) e i [ k 0 S ( r ) − ω t ] is an exact solution to the Maxwell equations in free space if and only if { E 0 , H 0 , ∇ S } form a mutually perpendicular, right-handed set and S ( r ) is a solution to both the

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b79e7a720b69b1a66d1aef72dd092505
https://doi.org/10.1364/josaa.376545

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Optical scalars and congruences of light rays: A link between beams and analytic aberrations

Autor: Salvador Alejandro Juárez-Reyes, Omar de Jesús Cabrera-Rosas, Ernesto Espíndola-Ramos, Gilberto Silva-Ortigoza, Citlalli Teresa Sosa-Sánchez, Israel Julián-Macías, Paula Ortega-Vidals

Publikováno v: Physical Review A. 96

Optical scalars are functions designed to analyze the behavior of geodesic congruences in general relativity. Refracted rays are three-dimensional congruences of light rays and they can be studied with this formalism. In this work we obtain the optic

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2a3273def288615a6f717e0e8fa445d1
https://doi.org/10.1103/physreva.96.023852

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Superposition of Bessel beams: geometrical wavefronts, light rays, caustic, intensity patterns and experimental generation

Autor: Salvador Alejandro Juárez-Reyes, Carolina Rickenstorff-Parrao, Israel Julián-Macías, Citlalli Teresa Sosa-Sánchez, Gilberto Silva-Ortigoza

Publikováno v: Journal of Optics. 20:085608

Recently, it has been shown that if S(r, θ, ) is a two-parameter solution of the eikonal and Laplace equations, then is an exact solution of the scalar wave equation in an isotropic optical medium. In particular, if we take , the resulting solution

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0e42e175a7ba2fdfce7721fddb73eb30
https://doi.org/10.1088/2040-8986/aad1e8

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Wavefronts and caustics associated with Mathieu beams

Autor: Salvador Alejandro Juárez-Reyes, Ernesto Espíndola-Ramos, Paula Ortega-Vidals, Gilberto Silva-Ortigoza, Israel Julián-Macías, Omar de Jesús Cabrera-Rosas, Citlalli Teresa Sosa-Sánchez, Carolina Rickenstorff-Parrao

Publikováno v: Journal of the Optical Society of America A. 35:267

In this work we compute the wavefronts and the caustics associated with the solutions to the scalar wave equation introduced by Durnin in elliptical cylindrical coordinates generated by the function A(ϕ)=ceν(ϕ,q)+iseν(ϕ,q), with ν being an inte

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::713d6f72d18641875b4504ca6bfba6de
https://doi.org/10.1364/josaa.35.000267

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