Leaky Modes of Waveguides as a Classical Optics Analogy of Quantum Resonances
A classical optics waveguide structure is proposed to simulate resonances of short range one-dimensional potentials in quantum mechanics. The analogy is based on the well-known resemblance between the guided and radiation modes of a waveguide with the bound and scattering states of a quantum well. A...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/281472 |
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| author | Sara Cruz y Cruz Oscar Rosas-Ortiz |
| author_facet | Sara Cruz y Cruz Oscar Rosas-Ortiz |
| author_sort | Sara Cruz y Cruz |
| collection | DOAJ |
| description | A classical optics waveguide structure is proposed to simulate resonances of short range one-dimensional potentials in quantum mechanics. The analogy is based on the well-known resemblance between the guided and radiation modes of a waveguide with the bound and scattering states of a quantum well. As resonances are scattering states that spend some time in the zone of influence of the scatterer, we associate them with the leaky modes of a waveguide, the latter characterized by suffering attenuation in the direction of propagation but increasing exponentially in the transverse directions. The resemblance is complete because resonances (leaky modes) can be interpreted as bound states (guided modes) with definite lifetime (longitudinal shift). As an immediate application we calculate the leaky modes (resonances) associated with a dielectric homogeneous slab (square well potential) and show that these modes are attenuated as they propagate. |
| format | Article |
| id | doaj-art-7cd23d03fa0b4384a880d4f447dafdf2 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-7cd23d03fa0b4384a880d4f447dafdf22025-02-03T01:20:48ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/281472281472Leaky Modes of Waveguides as a Classical Optics Analogy of Quantum ResonancesSara Cruz y Cruz0Oscar Rosas-Ortiz1UPIITA, Instituto Politecnico Nacional, Avenida IPN No. 2580, Colonia La Laguna Ticoman, C.P. 07340 Mexico D.F., MexicoPhysics Department, Cinvestav, A.P. 14-740, 07000 Mexico D.F., MexicoA classical optics waveguide structure is proposed to simulate resonances of short range one-dimensional potentials in quantum mechanics. The analogy is based on the well-known resemblance between the guided and radiation modes of a waveguide with the bound and scattering states of a quantum well. As resonances are scattering states that spend some time in the zone of influence of the scatterer, we associate them with the leaky modes of a waveguide, the latter characterized by suffering attenuation in the direction of propagation but increasing exponentially in the transverse directions. The resemblance is complete because resonances (leaky modes) can be interpreted as bound states (guided modes) with definite lifetime (longitudinal shift). As an immediate application we calculate the leaky modes (resonances) associated with a dielectric homogeneous slab (square well potential) and show that these modes are attenuated as they propagate.http://dx.doi.org/10.1155/2015/281472 |
| spellingShingle | Sara Cruz y Cruz Oscar Rosas-Ortiz Leaky Modes of Waveguides as a Classical Optics Analogy of Quantum Resonances Advances in Mathematical Physics |
| title | Leaky Modes of Waveguides as a Classical Optics Analogy of Quantum Resonances |
| title_full | Leaky Modes of Waveguides as a Classical Optics Analogy of Quantum Resonances |
| title_fullStr | Leaky Modes of Waveguides as a Classical Optics Analogy of Quantum Resonances |
| title_full_unstemmed | Leaky Modes of Waveguides as a Classical Optics Analogy of Quantum Resonances |
| title_short | Leaky Modes of Waveguides as a Classical Optics Analogy of Quantum Resonances |
| title_sort | leaky modes of waveguides as a classical optics analogy of quantum resonances |
| url | http://dx.doi.org/10.1155/2015/281472 |
| work_keys_str_mv | AT saracruzycruz leakymodesofwaveguidesasaclassicalopticsanalogyofquantumresonances AT oscarrosasortiz leakymodesofwaveguidesasaclassicalopticsanalogyofquantumresonances |