TY - JOUR

T1 - Nondiffracting accelerating wave packets of Maxwell's equations

AU - Kaminer, Ido

AU - Bekenstein, Rivka

AU - Nemirovsky, Jonathan

AU - Segev, Mordechai

PY - 2012/4/16

Y1 - 2012/4/16

N2 - We present the nondiffracting spatially accelerating solutions of the Maxwell equations. Such beams accelerate in a circular trajectory, thus generalizing the concept of Airy beams to the full domain of the wave equation. For both TE and TM polarizations, the beams exhibit shape-preserving bending which can have subwavelength features, and the Poynting vector of the main lobe displays a turn of more than 90°. We show that these accelerating beams are self-healing, analyze their properties, and find the new class of accelerating breathers: self-bending beams of periodically oscillating shapes. Finally, we emphasize that in their scalar form, these beams are the exact solutions for nondispersive accelerating wave packets of the most common wave equation describing time-harmonic waves. As such, this work has profound implications to many linear wave systems in nature, ranging from acoustic and elastic waves to surface waves in fluids and membranes.

AB - We present the nondiffracting spatially accelerating solutions of the Maxwell equations. Such beams accelerate in a circular trajectory, thus generalizing the concept of Airy beams to the full domain of the wave equation. For both TE and TM polarizations, the beams exhibit shape-preserving bending which can have subwavelength features, and the Poynting vector of the main lobe displays a turn of more than 90°. We show that these accelerating beams are self-healing, analyze their properties, and find the new class of accelerating breathers: self-bending beams of periodically oscillating shapes. Finally, we emphasize that in their scalar form, these beams are the exact solutions for nondispersive accelerating wave packets of the most common wave equation describing time-harmonic waves. As such, this work has profound implications to many linear wave systems in nature, ranging from acoustic and elastic waves to surface waves in fluids and membranes.

UR - http://www.scopus.com/inward/record.url?scp=84859843754&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.108.163901

DO - 10.1103/PhysRevLett.108.163901

M3 - Article

AN - SCOPUS:84859843754

SN - 0031-9007

VL - 108

JO - Physical Review Letters

JF - Physical Review Letters

IS - 16

M1 - 163901

ER -