Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2005-05-02
Phys. Rev. E 72, 056611 (2005)
Physics
Condensed Matter
Other Condensed Matter
6 pages, 5 figures, accepted for publication in Phys. Rev. E
Scientific paper
10.1103/PhysRevE.72.056611
We study transmission properties of discrete networks composed of linear arrays coupled to systems of N side defects, and demonstrate the basic principles of the resonant scattering management through engineering Fano resonances. We find exact solutions for the wave transmission coefficient and reveal the conditions for the perfect reflections and transmissions due to either destructive or constructive interferences. We associate these reflections and transmissions with Fano resonances, and demonstrate how they can be tuned by introducing nonlinear defects into the network.
Kivshar Yuri S.
Miroshnichenko Andrey E.
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