Singular PT-symmetry broken point with infinite transmittance and reflectance—a classical analytical demonstration

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...

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Bibliographic Details
Published inFrontiers of Optoelectronics (Online) Vol. 14; no. 4; pp. 438 - 444
Main Author Jiang, Yingxin
Format Journal Article
LanguageEnglish
Published Beijing Higher Education Press 01.12.2021
Springer Nature B.V
Subjects
Biomedical Engineering and Bioengineering
Deduction
Eigenvalues
Electrical Engineering
Electromagnetic scattering
Energy conversion
Engineering
Physics
Quantum theory
Reflectance
Research Article
Resonance
Symmetry
Transmittance
Unit cell
parity-time symmetric (PT-symmetric) structure
transmittance
reflectance
singular point
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Summary: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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ISSN:2095-2759
2095-2767
DOI:10.1007/s12200-020-0969-3