| Full text | |
| Author(s): |
Total Authors: 2
|
| Affiliation: | [1] Univ Estadual Campinas, Dept Appl Math, Campinas - Brazil
[2] Fed Univ ABC, Ctr Math Computat & Cognit, Santo Andre, SP - Brazil
Total Affiliations: 2
|
| Document type: | Journal article |
| Source: | EUROPEAN PHYSICAL JOURNAL PLUS; v. 135, n. 9 SEP 15 2020. |
| Web of Science Citations: | 0 |
| Abstract | |
We investigate the lateral displacement of electronic waves when partially and totally reflected by a quaternionic potential. Following the analogy between Quantum Mechanics and Optics, we introduce a refractive index for the complex and the pure quaternionic case. For incidence greater than the critical one (total reflection), the quaternionic potentials amplify the lateral displacement found in the complex case. For incidence below the critical angle, we find, in the quaternionic case, an additional shift. The analytical formula found for the quaternionic lateral displacement gives the possibility to observe quantitative and qualitative differences between the complex and quaternionic Goos-Hanchen shift. (AU) | |
| FAPESP's process: | 19/06382-9 - Theoretical anf experimental analysis of the transversal breaking of symmetry, lateral displacements, angular deviations and light oscillations in the propagation of optical beam thorugh dielectric blocks. |
| Grantee: | Stefano de Leo |
| Support Opportunities: | Regular Research Grants |