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Spectral singularities of a complex spherical barrier potential and their optical realization

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The mathematical notion of a spectral singularity admits a physical interpretation as a zero-width resonance. It finds an optical realization as a certain type of lasing effect that occurs at the threshold gain. We explore spectral singularities of a complex spherical barrier potential and study their realization as transverse spherical electromagnetic waves emitted by a gain medium with a spherical geometry. In particular, for a typical dye laser material, we obtain a lower bound on the size of the gain medium for the occurrence of this kind of spectral singularities.

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Elsevier Science Bv

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Physics

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Physics Letters A

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10.1016/j.physleta.2011.07.052

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