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- W2056707037 abstract "The Helmholtz equation can be reshaped into a form analogous to the Schrodinger equation with the term labeled 'the optical potential'. By following this analogy, we conclude that there exist certain profiles of optical potentials which possess bound states of electric field in the continuous part of the spectrum. One of the methods for generating these specific optical potentials is the application of supersymmetric formalism which transforms a real (initial) potential into a family of complex potentials, which all have one bound state in the continuum. We present general steps of this procedure and illustrate its use through the example of flat initial optical potential. In this particular case, conditions are found for the existence of the bound field in continuum, as well as the expression for the field and the corresponding complex optical potential in an analytic form. In addition, the approximation of digital grading is applied to the generated complex supersymmetric optical potential and the 'bound' state is calculated. The complex nature and the sharp variations of the supersymmetric optical potential impose the development of an original and sophisticated method of digital grading." @default.
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- W2056707037 date "2009-09-29" @default.
- W2056707037 modified "2023-09-23" @default.
- W2056707037 title "Photonic crystals with bound states in continuum and their realization by an advanced digital grading method" @default.
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- W2056707037 doi "https://doi.org/10.1088/1751-8113/42/41/415304" @default.
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