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Singular PT-symmetry broken point with infinite transmittance and reflectance----a classical analytical demonstration |
Yingxin JIANG() |
Department of Physics, Jiangsu University, Zhenjiang 212013, China |
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Abstract To demonstrate the existence of singular parity-time symmetry (PT-symmetry) broken point in optics system, we designed a one-dimensional PT symmetric structure including N unit-cell with loss and gain materials in half. We performed an analytical deduction to obtain the transmittance and reflectance of the structure basing on Maxwell’s equations. We found that with the exact structure unit-cell number and the imaginary part of refraction index, the transmittance and reflectance are both close to infinite. Such strict condition is called the singular point in this study. At the singular point position, both the transmission and reflection are direction-independent. Away from the singular point, the transmittance and reflectance become finite. In light of classical wave optics, the single unit and total structure both become the resonance units. The infinite transmittance and reflectance result from the resonance matching of single unit and total structure. In light of quantum theory, the singular point corresponds to the single eigenvalue of electromagnetic scattering matrix. The infinite transmittance and reflectance mean a huge energy transformation from pumping source to light waves. Numerical calculation and software simulation both demonstrate the result.
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Keywords
parity-time symmetric (PT-symmetric) structure
singular point
transmittance
reflectance
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Corresponding Author(s):
Yingxin JIANG
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Online First Date: 11 March 2020
Issue Date: 06 December 2021
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