Theoretical prediction of the nondiffractive propagation of sonic waves through periodic acoustic media

Pérez‐Arjona, Isabel; Sánchez‐Morcillo, Víctor J.; Redondo, Javier; Espinosa, V.; Staliūnas, Kęstutis

doi:10.1103/physrevb.75.014304

Cited by 95 publications

(67 citation statements)

References 19 publications

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“…Recent progress in the research area of photonic and phononic crystals and metamaterials provides a new approach to realize radiation pattern control and modulation. Early studies focused on spatial dispersion affected by spatial periodicity to modulate radiation patterns-that is, utilizing crystal anisotropy to counteract the spreading of the wave [5][6][7] -and band-edge states are the most important factors for realizing it [8][9][10] . Recently, based on the forminvariant form of Maxwell's equations under certain coordinate transformations, transformation optics for controlling the electromagnetic fields has proved to be an effective approach for manipulating ray traces 11,12 .…”

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confidence: 99%

Effective impedance boundary optimization and its contribution to dipole radiation and radiation pattern control

Liu

et al. 2014

Nat Commun

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Radiation pattern control has generated much interest recently due to its potential applications. Here we report the observation of high-efficiency dipole-like radiation of sound with broad bandwidth through a decorated plate with periodical two-dimensional Helmholtz resonators on both sides and a single slit at the centre. The decorated plate was optimally designed to adjust the effective impedance of the boundary, and the underlying mechanism of radiation pattern control is attributed to wave vector tailoring. The high radiation efficiency is due to the Fabry-Perot resonances associated with waveguide modes in the centre slit. The method to obtain a collimated beam without any sidelobes is also provided. Our findings should have an impact on acoustic applications.

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confidence: 99%

Effective impedance boundary optimization and its contribution to dipole radiation and radiation pattern control

Liu

et al. 2014

Nat Commun

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“…In geometrical terms, the spatial dispersion relation presents in general some curvature, resulting in a diffractive broadening of the beam. As out in [3], a notable exception can be found in the case of a sonic crystals, where the isofrequency curves in 2D) develop flat segments at a particular frequency for a given geometry of the crystal. In this case, waves with wavevectors lying on the flat segment do not dephase during propagation through the crystal, and the beam propagates without apparent diffraction keeping its original size.…”

Section: Introductionmentioning

confidence: 99%

“…Also the major part of them concern only about the temporal dispersion properties introduced by the crystal. We have focused our studies in the bidimensional case and demonstrated in a recent work [3] that the crystal modifies the spatial dispersion relation…”

Section: Introductionmentioning

confidence: 99%

Nondiffractive propagation in sonic crystals

Sánchez‐Morcillo

Pérez‐Arjona

Redondo

et al. 2006

The Journal of the Acoustical Society of America

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We report the nondiffractive propagation of acoustic waved in sonic crystals, e.g., acoustic media with periodic modulation of the material parameters (density and bulk modulus). Such novel materials have recently attracted a great interest, because of their potential applications in the control of sound propagation, used as reflectors, focusers or waveguides. All these properties are related with the dispersion introduced by the crystal anisotropy. In particular we consider the case of two-dimensional sonic crystals, consisting, e.g. in an array of steel cylinders in water. It is shown that, for given frequencies and directions of incidence, a narrow sonic beam can propagate without diffractive broadening. Such nondiffractive sonic beams exist in crystals with perfect symmetry, and do not require the presence of defects, differently from other waveguiding phenomena reported previously. The cancellation of diffraction occurs at frequencies and wavevectors for which dispersion curves (isofrequency lines) have zero curvature, i.e, are locally flat. By means of perturbative techniques, a simple analytical expression for the nondiffractive conditions has been obtained. The phenomenon is also demonstrated by numerical integration of the acoustic equations using the FDTD technique. We present experimental evidence of the nondiffractive propagation in a periodic array of steel cylinders in water. INTRODUCTIONSound crystals (SCs) are periodical structures of scatterers in an homogeneous medium, i.e. are media with periodical modulation of their acoustical properties. The study of SCs was stimulated by the previous results in other field like optics [1], that permitted to use the so called photonic crystals to design materials with band gaps for the light propagation and to construct photonic crystal waveguides, and early similar results were obtained in the field of acoustics [2]. One of the most studied properties of the SCs is the existence of prohibited propagation acoustical frequency bands. These bands correspond to frequencies for which the acoustic wave does not propagate inside the crystal but it is reflected. Therefore the SCs are good candidates to manipulate band gaps and create waveguides and isolators.

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“…This phenomenon has been experimentally demonstrated to date for different frequency ranges of electromagnetic waves, in particular in the optical [Rakich06] and microwave [Lu06] regimes. In the acoustic counterpart recent works have observed the subdiffractive propagation of sonic waves in phononic (or sonic) crystals [Perez07,Espinosa07]. It has come out that the spatial periodicity can affect not only temporal dispersion, but also the spatial one.…”

Section: Chapter 1 Sculptures As Acoustic Filtersmentioning

confidence: 99%

“…During a finite propagation distance l, the phase accumulated is φ = k z (k norm )l. In geometrical terms, the spatial dispersion curve is characterized by its curvature at each point, resulting in a corresponding diffracting broadening of the beam. References [Perez07,Espinosa07] explain the relationship between the way of dispersion and the curvature of the isofrequency curves.…”

Section: Periodic Systemsmentioning

confidence: 99%

On the control of propagating acoustic waves in sonic crystals: analytical, numerical and optimization techniques

García¹

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València, Noviembre, 2010 AGRADECIMIENTOS Esta Tesis doctoral es el fiel reflejo del cariño, apoyo, confianza y generosidad de un conjunto de personas que, sin ellas, estoy firmamente convencido, jamás hubiera llegado a ver la luz.En primer lugar me gustaría agradecer a mis directores, al Dr. Juan Vicente Sánchez-Pérez y al Dr. Lluis Miquel Garcia-Raffi, todo lo que han hecho por mí durante estos años. Gracias a ellos he tenido la oportunidad de introducirme en el camino científico y aprender muchísima física. No sólo han sido mis directores de tesis, sino que se han convertido en verdaderos compañeros y amigos con los que he compartido muchos momentos buenos y malos. Qué bien lo hemos pasado con la bicicleta y, sobre todo, durante discusiones científicas en los congresos, en la cámara anecoica, en los despachos, en el bar... Muchas gracias.Durante estos años he tenido la oportunidad de conocer magníficas personalidades que me han hecho muy fácil la tarea y, sobre todo, me han hecho ver que la ciencia no está reñida con las buenas personas. En primer lugar me gustaría acordarme de todo el trabajo que mi amigo Elies Fuster aportó a este proyecto. Gracias aél surgió todo esto. En segundo lugar, me gustaría agradecer el apoyo del Dr. Víctor J. Sánchez-Morcillo, del Dr. Hermelando Estellés y del Dr. Francisco Belmar. Han demostrado ser unos gradísimos profesionales y sobre todo buenos compañeros. Entre ellos, me gustaría mostrar mi agradecimeinto a mi vecino de despacho, al Dr. Hermelando Estellés. La alegría que desborda todas las mañanas me ha hecho muy llevadero el trabajo, y en los momentos en los que no ha estado, lo he echado muchísimo de menos. Me alegro mucho de tu regreso. Finalmente me gustaría agradecer el apoyo del Dr. Enrique Alfonso Sánchez Pérez, del Dr. Enrique Berjano Zanón, del Dr. Francisco Meseguer, de la Dra. Macarena Trujillo, del Dr. Jose Calabuig, de la Dra. Constanza Rubio y de Sergio Castiñeira.No podía ser de otra manera, esta Tesis la he dedicado a mis padres, Vicente y Maribel. Nunca podré agradecer ni devolverles todo lo que han hecho por mí. La vida me dio la tremenda suerte de tenerlos como padres, y para mí es un orgullo decir que ellos son mis padres y que siempre han depositado su confianza en mí. Va por vosotros! Muchas gracias!! Me gustaría también agradecer el apoyo que simpre me han mostrado mi tía Carmen y mis primos M a Carmen y Vicente Martí. Siempre han estado dispuestos a aconsejarme y apoyarme en mis decisiones. En estos años la vida se ha llevado a mi tío Pepe que tanto me ha querido. Me gustaría desde aquí agradecerle todo su cariño y recordar, con mucho afecto, las bromas que me hacía que, de alguna forma, me han servido para estar más despierto.Gracias a la música he tenido la suerte de conocer a la persona que me apoya en todo momento, que me ofrece su cariño y que me complementa en todos los sentidos. Maria me lo ha dado siempre todo y nunca ha dejado de confiar en mí. Ella ha hecho que vea la vida de otra forma, con más alegría e ilusión, y sobre todo me ha dejado ...

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Theoretical prediction of the nondiffractive propagation of sonic waves through periodic acoustic media

Cited by 95 publications

References 19 publications

Effective impedance boundary optimization and its contribution to dipole radiation and radiation pattern control

Effective impedance boundary optimization and its contribution to dipole radiation and radiation pattern control

Nondiffractive propagation in sonic crystals

On the control of propagating acoustic waves in sonic crystals: analytical, numerical and optimization techniques

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