Bloch wave deafness and modal conversion at a phononic crystal boundary

Laude, Vincent; Moiseyenko, Rayisa P.; Benchabane, Sarah; Declercq, Nico F.

doi:10.1063/1.3675828

Cited by 35 publications

(31 citation statements)

References 21 publications

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“…Thus, it can only excite WGM 1, which has the same symmetry, and not WGM 2, which is antisymmetric with respect to this plane. Then, the latter appears as a deaf band [36,37] in the transmission spectrum.…”

Section: Whispering-gallery Modesmentioning

confidence: 99%

Tunable waveguide and cavity in a phononic crystal plate by controlling whispering-gallery modes in hollow pillars

et al. 2016

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We investigate the properties of a phononic crystal plate with hollow pillars and introduce the existence of whispering-gallery modes (WGMs). We show that by tuning the inner radius of the hollow pillar, these modes can merge inside both Bragg and low frequency band gaps, deserving phononic crystal and acoustic metamaterial applications. These modes can be used as narrow pass bands for which the quality factor can be greatly enhanced by the introduction of an additional cylinder between the hollow cylinder and the plate. We discuss some functionalities of these confined WGM in both Bragg and low frequency gaps for wavelength division in multiplexer devices using heteroradii pillars introduced into waveguide and cavity structures.

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Section: Whispering-gallery Modesmentioning

confidence: 99%

Tunable waveguide and cavity in a phononic crystal plate by controlling whispering-gallery modes in hollow pillars

et al. 2016

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“…Complex band structures can be found by searching for the wave number as a function of frequency, as demonstrated for photonic 17,18 and phononic [19][20][21] crystals. Whether the approach relies on the extended plane wave expansion (EPWE) or on FEM, a generalized eigenvalue problem of the form…”

Section: Complex Band Structure K(ω)mentioning

confidence: 99%

Effect of loss on the dispersion relation of photonic and phononic crystals

2013

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A theoretical analysis is made of the transformation of the dispersion relation of waves in artificial crystals under the influence of loss, including the case of photonic and phononic crystals. Considering a general dispersion relation in implicit form, an analytic procedure is derived to obtain the transformed dispersion relation. It is shown that the dispersion relation is generally shifted in the complex (k,ω) plane, with k the wave number and ω the angular frequency. The value of the shift is obtained explicitly as a function of the perturbation of material constants accounting for loss. The method is shown to predict correctly the transformation of the complex band structure k(ω). Several models of the dispersion relation near a symmetry point of the Brillouin zone are analyzed. A lower bound for the group velocity, related to the local shape of the band around symmetry points, is derived for each case.

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“…The periodicity of the interface creates a diffraction grating and constrains the parallel component of the reflected wavevectors m k [6]. We write an expansion for the transmitted (into FC) and reflected wave fields as…”

Section: Work Completedmentioning

confidence: 99%

“…The propagating and evanescent Bloch waves constitute a complete basis [5] and justify a Bloch wave expansion for the wave field within the FC. We will utilize the Bloch wave expansion, first outlined in [6], along with a plane wave expansion for the reflected field to compute the acoustic reflection from the semi-infinite fish school. (2) Insertion of the Bloch theorem from Eq.…”

Section: Work Completedmentioning

confidence: 99%

Spatio-Temporal Characterization of Bio-acoustic Scatterers in Complex Media

Sabra¹

2013

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Award number: N000141110259 LONG TERM GOALSTo develop a numerically efficient methodology for modeling the acoustic response of large aggregate of biological scatterers to parameterize acoustic models for long-range SONAR measurements OBJECTIVECharacterization of biologically-induced ocean reverberation features is key to effectively parameterize acoustic models and thus ultimately improve the detection performance of long-range SONAR systems. In particular, scattering from fish schools can significantly contribute to volume reverberation in the open ocean measured by mid-frequencies tactical SONAR (1kHz-10kHz), especially if the resonance frequencies of the fish' air-filled swim bladder is excited. Furthermore, multiple scattering effects from the incident acoustic wave and the collective arrangement of fish lead to complicated frequency response functions. The bio-acoustics properties of the fish body and geometry can also contribute to the scattering response and can be incorporated into an accurate scattering model. The objective of this research is to characterize the relevant spatial and temporal scales of bio-acoustic scatterers generating ocean reverberation to effectively parameterize acoustic models and improve the detection performance of long-range SONAR systems. To do so, we developed an efficient modeling technique to predict the scattered fields from large fish schools (which can cause especially high falsealarm rate for mid-frequency SONAR systems.), which readily account for the fish acoustic properties, school's spatial configuration and multiple scattering effects.

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Bloch wave deafness and modal conversion at a phononic crystal boundary

Cited by 35 publications

References 21 publications

Tunable waveguide and cavity in a phononic crystal plate by controlling whispering-gallery modes in hollow pillars

Tunable waveguide and cavity in a phononic crystal plate by controlling whispering-gallery modes in hollow pillars

Effect of loss on the dispersion relation of photonic and phononic crystals

Spatio-Temporal Characterization of Bio-acoustic Scatterers in Complex Media

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