Resonance phenomenon related to spectral singularities, complex barrier potential, and resonating waveguides

@article{Mostafazadeh2009ResonancePR,
  title={Resonance phenomenon related to spectral singularities, complex barrier potential, and resonating waveguides},
  author={Ali Mostafazadeh},
  journal={Physical Review A},
  year={2009},
  volume={80},
  pages={032711}
}
  • A. Mostafazadeh
  • Published 12 August 2009
  • Physics, Mathematics
  • Physical Review A
A peculiar property of complex scattering potentials is the appearance of spectral singularities. These are energy eigenvalues for certain scattering states that similarly to resonance states have infinite reflection and transmission coefficients. This property reveals an interesting resonance effect with possible applications in waveguide physics. We study the spectral singularities of a complex barrier potential and explore their application in designing a waveguide that functions as a… 
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