In a line-defect waveguide of a planer photonic crystal (PhC), we found a new rotational state of polarized light, which exhibits "polarization rotation" on the PhC plane, when a phase mismatch m was added to the air-hole alignment of the waveguide, where mode splitting was simultaneously observed in the dispersion curve. To account for the polarization rotation together with the mode splitting, we propose a two-state model that is constructed from Schrödinger equation obtained from the equation for electromagnetic waves. The proposed two-state model gives an explanation on the relation between the polarization-rotational angle θ and the mismatch m and on its rotational direction (i.e., clockwise or anticlockwise direction) that depends on the mode. Using the two-state model, we also discuss the angular momenta of the polarized light in the PhC waveguide, which are directly related to the Stokes parameters that characterize the polarization rotations.
CITATION STYLE
Sotto, M., Tomita, I., Debnath, K., & Saito, S. (2018). Polarization rotation and mode splitting in photonic crystal line-defect waveguides. Frontiers in Physics, 6(AUG). https://doi.org/10.3389/fphy.2018.00085
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