Klein Tunneling of Light in Fiber Bragg Gratings
Open accessAbstract
A photonic analogue of Klein tunneling (KT), that is, of the exotic property of relativistic electrons to pass a large repulsive and sharp potential step, is proposed for pulse propagation in a nonuniform fiber Bragg grating with an embedded chirped region. KT can be simply observed as the opening of a transmission window inside the grating stop band, provided that the impressed chirp is realized over a length of the order of the analogue of the Compton wavelength.
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Several recent works have shown that optical structures in media with a complex refractive index can provide an experimentally accessible test bed to simulate in a purely classical setting non-Hermitian features rooted in the non-relativistic Schrödinger equation with a complex potential.
“Several recent works have shown that optical structures in media with a complex refractive index can provide an experimentally accessible test bed to simulate in a purely classical setting non-Hermitian features rooted in the non-relativistic Schr¨ odinger equation with a complex potential [91,92,90,93,94,95,96].”
From Classical simulation of relativistic quantum mechanics in periodic optical structures (2011) · cites this paper as [94]
The Introduction describes optical structures as an accessible test bed, but Section 2 (Quantum-Optical Analogy; page unavailable) explicitly identifies this grating’s analogue as the relativistic Dirac equation and its electrostatic potential. That is contrary to attributing to this paper a simulation of non-Hermitian features of a non-relativistic Schrödinger equation with a complex potential. (LLM, conf=0.88)
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Experimental — accuracy not yet measuredBecause of the non-self-adjointness of H, spectral singularities could arise in the spectrum of H, corresponding to either a zero-width resonance in the transmission/reflection spectrum of the DFB (the threshold for self-oscillation) or to perfect absorption of radiation under a suitable two-port coherent excitation of the DFB structure.
“In addition, because of the non-self-adjointness of H , spectral singularities could arise in the spectrum of H , which correspond to either a zero-width resonance in the transmission/reflection spectrum of the DFB (the threshold for self-oscillation) [94,44] or to a perfect absorption of radiation under a suitable two-port coherent excitation of the DFB structure [44,102].”
From Classical simulation of relativistic quantum mechanics in periodic optical structures (2011) · cites this paper as [94]
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Cites
Quantum interference and Klein tunnelling in graphene heterojunctions
Young, A. F., & Kim, P. (2009) · Nature Physics · doi:10.1038/nphys1198 · Cited by 1,183 · see citing works
Stander, N., Huard, B., & Goldhaber-Gordon, D. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.026807 · Cited by 792 · see citing works
Quantum-optical analogies using photonic structures
Longhi, S. (2009) · Laser & Photonics Reviews · doi:10.1002/lpor.200810055 · Cited by 725 · see citing works
Self-citationConical Diffraction and Gap Solitons in Honeycomb Photonic Lattices
Peleg, O., Bartal, G., Freedman, B., Manela, O., Segev, M., & Christodoulides, D. N. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.103901 · Cited by 378 · see citing works
History and physics of the Klein paradox
Calogeracos, A., & Dombey, N. (1999) · Contemporary Physics · doi:10.1080/001075199181387 · Cited by 262 · see citing works
Extremal transmission at the Dirac point of a photonic band structure
Sepkhanov, R. A., Bazaliy, Y. B., & Beenakker, C. W. J. (2007) · Physical Review A · doi:10.1103/physreva.75.063813 · Cited by 250 · see citing works
Flagged first, then by citations
Research works printed but not linked: 16
- O. Klein, "Die Reflexion von Elektronen an einem Poten- tialsprung nach der relativistischen Dynamik von Dirac," Zeitschrift für Physik, vol. 53, no. 3-4, pp. 157-165, 1929.
- F. Sauter, " Über das Verhalten eines Elektrons im homogenen elektrischen Feld nach der relativistischen Theorie Diracs," Zeitschrift für Physik, vol. 69, no. 11-12, pp. 742-764, 1931.
- P. Christillin and E. d'Emilio, "Role of the slope of realistic potential barriers in preventing relativistic tunneling in the Klein zone," Physical Review A, vol. 76, no. 4, Article ID 042104, 2007.
- A. Calogeracos, "Paradox in a pencil," Nature Physics, vol. 2, no. 9, pp. 579-580, 2006.
- M. I. Katsnelson, K. S. Novoselov, and A. K. Geim, "Chiral tunnelling and the Klein paradox in graphene," Nature Physics, vol. 2, no. 9, pp. 620-625, 2006.
- N. Stander, B. Huard, and D. Goldhaber-Gordon, "Evidence for Klein tunneling in graphene p-n junctions," Physical Review Letters, vol. 102, no. 2, Article ID 026807, 2009.
- O. Bahat-Treidel, O. Peleg, M. Grobman, N. Shapira, T. Pereg- Barnea, and M. Segev, "Perfect Klein tunneling in anisotropic graphene-like photonic lattices," Physical Review Letters, vol. 104, Article ID 063901, 2010.
- D. Ö. Güney and D. A. Meyer, "Negative refraction gives rise to the Klein paradox," Physical Review A, vol. 79, no. 6, Article ID 063834, 2009.
- S. Longhi, "Klein tunneling in binary photonic superlattices," Physical Review B, vol. 81, no. 7, 2010.
- J. Otterbach, R. G. Unanyan, and M. Fleischhauer, "Confining stationary light: dirac dynamics and Klein tunneling," Physical Review Letters, vol. 102, no. 6, Article ID 063602, 2009.
- A. M. Steinberg, P. G. Kwiat, and R. Y. Chiao, "Measurement of the single-photon tunneling time," Physical Review Letters, vol. 71, no. 5, pp. 708-711, 1993.
- S. Longhi, P. Laporta, M. Belmonte, and E. Recami, "Mea- surement of superluminal optical tunneling times in double- barrier photonic band gaps," Physical Review E, vol. 65, no. 4, Article ID 046610, pp. 1-6, 2002.
- S. Longhi, M. Marano, M. Belmonte, and P. Laporta, "Superluminal pulse propagation in linear and nonlinear photonic grating structures," IEEE Journal on Selected Topics in Quantum Electronics, vol. 9, no. 1, pp. 4-16, 2003.
- J. E. Sipe, L. Poladian, and C. Martijn de Sterke, "Propagation through nonuniform grating structures," Journal of the Optical Society of America A, vol. 11, no. 4, pp. 1307-1320, 1994.
- L. Poladian, "Graphical and WKB analysis of nonuniform Bragg gratings," Physical Review E, vol. 48, no. 6, pp. 4758- 4767, 1993.
- A. Asseh, H. Storøy, B. E. Sahlgren, S. Sandgren, and R. A. H. Stubbe, "A writing technique for long fiber Bagg gratings with complex reflectivity profiles," Journal of Lightwave Technology, vol. 15, no. 8, pp. 1419-1423, 1997.
Cited by
Sorted by citations
Classical simulation of relativistic quantum mechanics in periodic optical structures
Longhi, S. (2011) · Applied Physics B · doi:10.1007/s00340-011-4628-7 · Cited by 72 · see citing works
Self-citation
- Authors
- Longhi, S.
- Affiliations
- Politecnico di Milano (IT)
- Corresponding author
- Longhi, Stefano
- ORCID
- Longhi, Stefano
- Venue
- Physics Research International
- Publisher
- Hindawi Limited
- Published
- 2010-08-31
- Volume
- 2010
- Pages
- 1-5
- ISSN
- 2090-2220 (ISSN-L)
- 2090-2239
- OpenAlex
- W2137781770
- Cited by
- 7
- References
- 6
- Citations by year
- 2021: 1 · 2018: 1 · 2017: 1
- FWCI
- 1.01
- Type
- journal article
- Language
- en
- Open access
- hybrid
- doi.org
- Locations
- Physics Research International (publishedVersion, cc-by)
- Funders
- Italian MIUR (PRIN-2008-YCAAK)
- Topics
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Advanced Fiber Optic Sensors
- Physical Sciences › Engineering › Electrical and Electronic Engineering › Photonic Crystal and Fiber Optics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Non-Hermitian Physics
- Keywords
- Klein tunneling, fiber Bragg grating, chirped fiber Bragg grating, pulse propagation, Compton wavelength
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