Two-dimensional pulse propagation without anomalous dispersion

TY - JOUR

T1 - Two-dimensional pulse propagation without anomalous dispersion

AU - Bender, Carl M.

AU - Rodríguez-Fortuno, Francisco J.

AU - Sarkar, Sarben

AU - Zayats, Anatoly

PY - 2017/9/15

Y1 - 2017/9/15

N2 - Anomalous dispersion is a surprising phenomenon associated with wave propagation in an even number of space dimensions. In particular, wave pulses propagating in two-dimensional space change shape and develop a tail even in the absence of a dispersive medium. We show mathematically that this dispersion can be eliminated by considering a modi ed wave equation with two geometric spatial dimensions and, unconventionally, two time-like dimensions. Experimentally, such a wave equation describes pulse propagation in an optical or acoustic medium with hyperbolic dispersion, leading to a fundamental understanding and new approaches to ultrashort pulse shaping in nanostructured metamaterials.

AB - Anomalous dispersion is a surprising phenomenon associated with wave propagation in an even number of space dimensions. In particular, wave pulses propagating in two-dimensional space change shape and develop a tail even in the absence of a dispersive medium. We show mathematically that this dispersion can be eliminated by considering a modi ed wave equation with two geometric spatial dimensions and, unconventionally, two time-like dimensions. Experimentally, such a wave equation describes pulse propagation in an optical or acoustic medium with hyperbolic dispersion, leading to a fundamental understanding and new approaches to ultrashort pulse shaping in nanostructured metamaterials.

U2 - 10.1103/PhysRevLett.119.114301

DO - 10.1103/PhysRevLett.119.114301

M3 - Article

SN - 0031-9007

VL - 119

SP - 1

EP - 5

JO - Physical Review Letters

JF - Physical Review Letters

IS - 11

M1 - 114301

ER -