Resonance Phenomenon Related to Spectral Singularities, Complex Barrier Potential, and Resonating Waveguides

Details Resonance Phenomenon Related to Spectral Singularities, Complex Barrier Potential, and Resonating Waveguides Resonance Phenomenon Related to Spectral Singularities, Complex Barrier Potential, and Resonating Waveguides

2009-08-12

arxiv.org/abs/0908.1713v3

Phys.Rev.A80:032711,2009

Physics

Quantum Physics

Published version, 20 pages, 2 tables, 7 figures

Scientific paper

10.1103/PhysRevA.80.032711

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 resonator. We show that for the easily accessible sizes of the waveguide and its gain region, we can realize the spectral singularity-related resonance phenomenon at almost every wavelength within the visible spectrum or outside it.

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