Triple Ladder Lumped Circuit With Sixth Order Modal Exceptional Degeneracy

We introduce a circuit topology based on a simple triple-ladder circuit realized with lumped reactive components that provides a sixth order degenerate band-edge (6DBE). The 6DBE is a special kind of sixth-order exceptional point of degeneracy in a lossless and gainless periodic ladder. This degener...

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Bibliographic Details
Published in:IEEE transactions on circuits and systems. I, Regular papers Regular papers, 2022-05, Vol.69 (5), p.1910-1918
Main Authors: Yazdi, Farshad, Nikzamir, Alireza, Mealy, Tarek, Nada, Mohamed Y., Capolino, Filippo
Format: Article
Language:English
Subjects:
6DBE
Capacitors
Circuit design
Dispersion
Eigenvalues and eigenfunctions
Ladders
lumped circuit
Oscillators
Periodic structures
Q factors
Q-factor
S parameters
Series expansion
Sixth order degeneracy
Topology
Transmission line matrix methods
triple-ladder circuit
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Summary:We introduce a circuit topology based on a simple triple-ladder circuit realized with lumped reactive components that provides a sixth order degenerate band-edge (6DBE). The 6DBE is a special kind of sixth-order exceptional point of degeneracy in a lossless and gainless periodic ladder. This degeneracy provides a very flat band edge in the phase-frequency dispersion diagram. The proposed topology exhibits unique structured resonance features associated with a high loaded Q-factor. We investigate the Floquet-Bloch modes in an infinite-length periodic triple-ladder and their dispersion relation using the S parameter formalism. We also provide the approximate analytic expressions of the eigenmodes and dispersion relation around the degenerate point based on the Puiseux series expansion. We investigate the filtering characteristics of a finite-length structure terminated with loads to highlight the special properties of the 6DBE compared to ladders with regular band edge (RBE) and fourth order degenerate band edge (DBE). The circuit framework introduced here with a 6DBE can be exploited in designing novel high Q-factor oscillators, filters, sensors, and pulse shaping networks.
ISSN:1549-8328
1558-0806
DOI:10.1109/TCSI.2022.3150723