Optical Analogues for Massless Dirac Particles and Conical Diffraction in One Dimension
Julia M. ZeunerInstitute of Applied Physics, Friedrich-Schiller-University Jena, Max-Wien-Platz 1, 07743 Jena, GermanyNikolaos K. EfremidisDepartment of Applied Mathematics, University of Crete, GR-71409 Heraklion, Crete, GreeceRobert KeilInstitute of Applied Physics, Friedrich-Schiller-University Jena, Max-Wien-Platz 1, 07743 Jena, GermanyFelix DreisowInstitute of Applied Physics, Friedrich-Schiller-University Jena, Max-Wien-Platz 1, 07743 Jena, GermanyDemetrios N. ChristodoulidesCenter for Research and Education in Optics and Lasers, School of Optics, University of Central Florida, Orlando, Florida 32816, USAAndreas TünnermannInstitute of Applied Physics, Friedrich-Schiller-University Jena, Max-Wien-Platz 1, 07743 Jena, GermanyStefan NolteInstitute of Applied Physics, Friedrich-Schiller-University Jena, Max-Wien-Platz 1, 07743 Jena, GermanyAlexander SzameitInstitute of Applied Physics, Friedrich-Schiller-University Jena, Max-Wien-Platz 1, 07743 Jena, Germany
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We demonstrate that light propagating in an appropriately designed lattice can exhibit dynamics akin to that expected from massless relativistic particles as governed by the one-dimensional Dirac equation. This is accomplished by employing a waveguide array with alternating positive and negative effective coupling coefficients, having a band structure with two intersecting minibands. Through this approach optical analogues of massless particle-antiparticle pairs are experimentally realized. One-dimensional conical diffraction is also observed for the first time in this work.
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