Theory for tailoring sonic devices: Diffraction dominates over refraction

Garcı́a, N.; Nieto‐Vesperinas, M.; Ponizovskaya, E. V.; Torres, M.

doi:10.1103/physreve.67.046606

Cited by 32 publications

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“…A negative refraction behavior and imaging effect have been found firstly in photonic crystals (Kosaka et al, 1998;Notomi, 2000;Luo et al, 2002;Cubukcu et al, 2003;Zhang, Liu, 2004). These properties were then observed by using sonic crystals for acoustic waves (Sanchis et al, 2003;Garcia et al, 2003;Gupta, Ye, 2003). A sonic crystal consisting of a square array of rigid or liquid cylinders embedded in an air background was developed that have a negative-refraction behavior and imaging effect for acoustic waves (Qiu et al, 2005).…”

Section: Introductionmentioning

confidence: 99%

An Investigation on Acoustic Wave Focalization by a Square Lattice Flat Lens

Alagoz¹

2012

Archives of Acoustics

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A sonic crystal consists of a finite-size periodic array of scatters embedded in a background material. One of the fascinating properties of sonic crystals is the focusing phenomenon. In this study, the near field focusing effect of a solid-air 2D sonic crystal lens with a square lattice configuration is investigated in the second frequency band. The band structure and equifrequency contour of the crystal are analyzed to reveal the dispersion of an acoustic wave on the crystal structure. The frequency dependence of the acoustic wave focalization by the sonic crystal flat lens is demonstrated via Finite Difference Time Domain simulation results and experimental measurements.

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Section: Introductionmentioning

confidence: 99%

An Investigation on Acoustic Wave Focalization by a Square Lattice Flat Lens

Alagoz¹

2012

Archives of Acoustics

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“…1 and 2 of Ref. [1]). The authors of the comment agree that in such lenses "focusing phenomena and image formation are dominated by diffraction rather than refraction due to the small dimension of the acoustic devices studied".…”

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“…Reference [1] unambiguously proved that acoustic lenses with size of the order of the wavelength can be realized; demonstrating not only focusing, but image formation (see Fig. 1 and 2 of Ref.…”

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“…To do that, we calculate here, by using an FDTD method described elsewhere [1,3,4], the propagation through acoustical devices identical to those presented by the authors of the comment in their previous experiments [2] As it is well known, the FDTD method allows one to simulate actual experiments. The author of the comment also make our calculations, obtaining a result that does not fully agree with ours, although they point out a similarity.…”

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In their comment, A. Hakansson, J. Sanchez-Dehesa, F. Cervera, F. Meseguer, L. Sanchis, and J. Llinares say that our conclusion stating that diffraction prevails over refraction in acoustic lenses whose aperture is of several wavelengths, such as those addressed in our calculations [N. Garcia, M. Nieto-Vesperinas, E. V. Ponizovskaya, and M.Torres, Phys. Rev. E 67, 046606 (2003)] and in their experiments [F.Cervera, L. Sanchis, J. V. Sanchez-Perez, R. Martinez-Sala, C. Rubio, F.Meseguer, C. Lopez, D. Caballero, and J. Sanchez-Dehesa, Phys. Rev. Lett.88, 023902 (2003)], is misleading because the size of their lenses is larger than ours. They state that diffraction effects are negligible at the scale of their experiments. In this reply we calculate the propagation of a plane wave through both a lens and a slab of aluminum cylinders, identical to those presented by such authors in previous experiments, by using a finite difference time domain (FDTD) method. We then compare our results to the experiments previously reported by the authors of the comment and significant differences are found. Our present calculations show that refraction and diffraction are intrinsically interwoven also at the scale of their experiments.For the acoustic devices under discussion, refraction is dominant upon diffraction if both their aperture, (namely, their lateral size), and the wavelength versus the lattice constant are large enough, so that edge effects are minimal, and an effective medium can be identified. However, diffraction becomes more and more dominant as the situation progressively deviates from the above conditions. However, when such conditions are not fully satisfied, like when the aperture is only about some wavelengths, and the lattice constant is not much smaller than the wavelength, one should expect an intermediate regime in which diffraction coexists with refraction.

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“…The fact that a periodic distribution of cylindrical solid scatterers in air constitutes a system in which the sound travels at subsonic velocity was used by Cervera et al to construct two refractive devices: a Fabry-Perot interferometer and a convergent lens. From this work, a controversy arose about the minimum size of the sample in which the refractive effects dominate over the diffractive ones [Garcia03,Hakansson05,Garcia05]. Moreover, additional theoretical works predicted the focusing effect of refractive devices [Kuo04,Hu05], showing that SC lenses must present low acoustic impedance contrast between the SC and the medium; otherwise acoustic waves will be mostly reflected.…”

Section: Control Of Sound Propagation In Sonic Crystalsmentioning

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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Theory for tailoring sonic devices: Diffraction dominates over refraction

Cited by 32 publications

References 22 publications

An Investigation on Acoustic Wave Focalization by a Square Lattice Flat Lens

An Investigation on Acoustic Wave Focalization by a Square Lattice Flat Lens

Reply to “Comment on ‘Theory for tailoring sonic devices: Diffraction dominates over refraction’ ”

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

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