Effect of Damping on Magnetic Induced Resonances in Cross Waveguide Structures
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ORIGINAL PAPER
Effect of Damping on Magnetic Induced Resonances in Cross Waveguide Structures A. Mouadili1
· E. H. El Boudouti2 · A. Akjouj3 · H. Al-Wahsh4 · B. Djafari-Rouhani3 · L. Dobrzynski3
Received: 8 September 2020 / Accepted: 21 October 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020
Abstract We consider, in the frame of long-wavelength Heisenberg model, a simple magnetic device consisting of two dangling side stubs grafted at the same site along a waveguide. This simple structure is designed to obtain bound in continuum (BIC) modes, magnonic induced transparency (MIT) and magnonic induced absorption (MIA), the analogues of electromagnetic induced transparency (EIT) and absorption (EIA) resonances respectively. By detuning the lengths of the two stubs, a resonance can be squeezed between two transmission zeros induced by the two resonators. We give detailed analytical expressions for the transmission and reflection coefficients as well as the absorption coefficient of the whole structure. A sharp peak with high Q factor is found as the consequence of the constructive interference of the waves in the two stubs. For some specific detuning values, the Q factor may reach infinity giving rise to the so-called bound in continuum state. Also, we give several explicit expressions for other physical characteristics, e.g., the transmission function close to the resonance, the position, the width and the Fano parameters of the resonances as a function of the difference between the lengths of the stubs. The reported analytical results are obtained by means of a Green’s function method. These results should have important consequences for designing a selecting or rejecting magnon filter. Keywords Magnonic circuits · Magnonic induced transparency · Magnonic induced absorption · Transmission · Fano resonance · Green’s function
1 Introduction Magnonic crystals (MCs), i.e., magnetic structures for spin wave propagation with a periodic modulation of structural, compositional or magnetic properties, are the counterpart of photonic and phononic crystals where the spin waves band A. Mouadili
[email protected] 1
Laboratoire de Physique de la Mati`ere Condens´ee et Energie renouvelable, D´epartement de Physique, Facult´e des Sciences et Techniques de Mohammedia, Universit´e Hassan II, Casablanca, Morocco
2
Laboratoire de Physique de la Mati`ere et du Rayonnement, D´epartement de Physique, Facult´e des Sciences, Universit´e Mohammed I, Oujda, Morocco
3
Institut d’Electronique, de Micro´electronique et de Nanotechnologie (IEMN), UMR CNRS 8520, D´epartement de Physique, Universit´e de Lille, 59655 Villeneuve d’Ascq, France
4
Engineering Mathematics and Physics Department, Faculty of Engineering, Benha University, 11629 Cairo, Egypt
structure consists of intervals of allowed frequencies and forbidden bands (gaps) in which there are no allowed magnonic states [1–4]. MCs have attracted significant interest for their interesting advantages in comparison with their photonic and phononic crystals
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