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Transmission resonance induced by a δ ‐like defect in the Fano–Anderson model with two Fano defects
Author(s) -
Nguyen Ba Phi,
Kim Kihong,
Rotermund Fabian,
Lim Hanjo
Publication year - 2012
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.201248023
Subject(s) - fano resonance , fano plane , coupling (piping) , physics , reflection (computer programming) , resonance (particle physics) , transmission (telecommunications) , condensed matter physics , molecular physics , atomic physics , quantum mechanics , materials science , geometry , telecommunications , mathematics , computer science , plasmon , metallurgy , programming language
We study theoretically the propagation of waves in a discrete linear chain with two side‐coupled Fano defects and one δ ‐like defect, using a modified Fano–Anderson model. Two separate cases, where the Fano defects are coupled to the chain by on‐site coupling or by inter‐site coupling, are considered. We find that the transmission behavior is very sensitive to whether the distance between the Fano defects and the δ ‐like defect, l , is even or odd. In the on‐site coupling case, we find that for even values of l , the Fano–Feshbach resonance is sustained in the presence of a δ ‐like defect, but the position of the transmission peak is shifted and its shape becomes asymmetric. In the inter‐site coupling case, the width of the asymmetric Fano resonance can be tuned by changing the coupling constants. When l is odd in the inter‐site coupling case, we find that there exist two resonant transmissions in addition to the perfect reflection. In general, the δ ‐like defect strongly influences on the transmission resonance but does not alter the perfect reflection.