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

• 作者: Yingxin JIANG
• 来源期刊: 光电子学前沿
• 年，卷（期）: 2021,（4）
• 所属期刊栏目: RESEARCH
• 页码范围: 438-444
• 页数: 7页
• 语种: 英文

摘要

To demonstrate the existence of singular parity-time symmetry(PT-symmetry)broken point in optics system,we designed a one-dimensional PT sym-metric 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 reflec-tance mean a huge energy transformation from pumping source to light waves.Numerical calculation and software simulation both demonstrate the result.