Refraction of a three-dimensional beam in uniaxial crystal-isotropic medium interfaces in presence of inhibited reflection
We propose a generalization of Artmann's method for three-dimensional beams. This generalization, that does not consider a symmetry coordinate for the incident beam, allows its use in non-isotropic interfaces. We apply it particularly to the study of the refraction of a beam that is limited in...
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2004
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v5622_nPART3_p1113_Vanney http://hdl.handle.net/20.500.12110/paper_0277786X_v5622_nPART3_p1113_Vanney |
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paper:paper_0277786X_v5622_nPART3_p1113_Vanney2023-06-08T15:26:22Z Refraction of a three-dimensional beam in uniaxial crystal-isotropic medium interfaces in presence of inhibited reflection Inhibited reflection Lateral displacement Uniaxial crystal Anisotropy Approximation theory Interfaces (materials) Light interference Light reflection Vectors Wavefronts Inhibited reflection Lateral displacement Optical axis Uniaxial crystals Light refraction We propose a generalization of Artmann's method for three-dimensional beams. This generalization, that does not consider a symmetry coordinate for the incident beam, allows its use in non-isotropic interfaces. We apply it particularly to the study of the refraction of a beam that is limited in two directions and that impinges on a uniaxial crystal-isotropic medium interface in presence of inhibited reflection. As known, the direction of the energy flux of a three-dimensional incident beam can be obtained (to first order and considering paraxial approximation) from the interference patterns of two two-dimensional beams. Each beam can be obtained from the superposition of two plane waves. In the first beam, the normals to the wave fronts are contained in the same incidence plane and they impinge with different angles; in the second, they are contained in different planes of incidence but with the same angle. We show that the refracted ray, in presence of inhibited reflection, suffers a lateral displacement that is not contained in the plane of incidence. The refraction of the first two-dimensional wave packet takes into account the longitudinal displacement whereas the refraction of the second allows us to calculate the transversal displacement. 2004 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v5622_nPART3_p1113_Vanney http://hdl.handle.net/20.500.12110/paper_0277786X_v5622_nPART3_p1113_Vanney |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
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R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Inhibited reflection Lateral displacement Uniaxial crystal Anisotropy Approximation theory Interfaces (materials) Light interference Light reflection Vectors Wavefronts Inhibited reflection Lateral displacement Optical axis Uniaxial crystals Light refraction |
| spellingShingle |
Inhibited reflection Lateral displacement Uniaxial crystal Anisotropy Approximation theory Interfaces (materials) Light interference Light reflection Vectors Wavefronts Inhibited reflection Lateral displacement Optical axis Uniaxial crystals Light refraction Refraction of a three-dimensional beam in uniaxial crystal-isotropic medium interfaces in presence of inhibited reflection |
| topic_facet |
Inhibited reflection Lateral displacement Uniaxial crystal Anisotropy Approximation theory Interfaces (materials) Light interference Light reflection Vectors Wavefronts Inhibited reflection Lateral displacement Optical axis Uniaxial crystals Light refraction |
| description |
We propose a generalization of Artmann's method for three-dimensional beams. This generalization, that does not consider a symmetry coordinate for the incident beam, allows its use in non-isotropic interfaces. We apply it particularly to the study of the refraction of a beam that is limited in two directions and that impinges on a uniaxial crystal-isotropic medium interface in presence of inhibited reflection. As known, the direction of the energy flux of a three-dimensional incident beam can be obtained (to first order and considering paraxial approximation) from the interference patterns of two two-dimensional beams. Each beam can be obtained from the superposition of two plane waves. In the first beam, the normals to the wave fronts are contained in the same incidence plane and they impinge with different angles; in the second, they are contained in different planes of incidence but with the same angle. We show that the refracted ray, in presence of inhibited reflection, suffers a lateral displacement that is not contained in the plane of incidence. The refraction of the first two-dimensional wave packet takes into account the longitudinal displacement whereas the refraction of the second allows us to calculate the transversal displacement. |
| title |
Refraction of a three-dimensional beam in uniaxial crystal-isotropic medium interfaces in presence of inhibited reflection |
| title_short |
Refraction of a three-dimensional beam in uniaxial crystal-isotropic medium interfaces in presence of inhibited reflection |
| title_full |
Refraction of a three-dimensional beam in uniaxial crystal-isotropic medium interfaces in presence of inhibited reflection |
| title_fullStr |
Refraction of a three-dimensional beam in uniaxial crystal-isotropic medium interfaces in presence of inhibited reflection |
| title_full_unstemmed |
Refraction of a three-dimensional beam in uniaxial crystal-isotropic medium interfaces in presence of inhibited reflection |
| title_sort |
refraction of a three-dimensional beam in uniaxial crystal-isotropic medium interfaces in presence of inhibited reflection |
| publishDate |
2004 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0277786X_v5622_nPART3_p1113_Vanney http://hdl.handle.net/20.500.12110/paper_0277786X_v5622_nPART3_p1113_Vanney |
| _version_ |
1768544408454561792 |