TY - JOUR
T1 - Rapidly accelerating Mathieu and Weber surface plasmon beams
AU - Libster-Hershko, Ana
AU - Epstein, Itai
AU - Arie, Ady
N1 - Publisher Copyright:
© 2014 American Physical Society.
PY - 2014/9/15
Y1 - 2014/9/15
N2 - We report the generation of two types of self-accelerating surface plasmon beams which are solutions of the nonparaxial Helmholtz equation in two dimensions. These beams preserve their shape while propagating along either elliptic (Mathieu beam) or parabolic (Weber beam) trajectories. We show that owing to the nonparaxial nature of the Weber beam, it maintains its shape over a much larger distance along the parabolic trajectory, with respect to the corresponding solution of the paraxial equation - the Airy beam. Dynamic control of the trajectory is realized by translating the position of the illuminating free-space beam. Finally, the ability of these beams to self-heal after blocking obstacles is demonstrated as well.
AB - We report the generation of two types of self-accelerating surface plasmon beams which are solutions of the nonparaxial Helmholtz equation in two dimensions. These beams preserve their shape while propagating along either elliptic (Mathieu beam) or parabolic (Weber beam) trajectories. We show that owing to the nonparaxial nature of the Weber beam, it maintains its shape over a much larger distance along the parabolic trajectory, with respect to the corresponding solution of the paraxial equation - the Airy beam. Dynamic control of the trajectory is realized by translating the position of the illuminating free-space beam. Finally, the ability of these beams to self-heal after blocking obstacles is demonstrated as well.
UR - http://www.scopus.com/inward/record.url?scp=84907222806&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.113.123902
DO - 10.1103/PhysRevLett.113.123902
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AN - SCOPUS:84907222806
SN - 0031-9007
VL - 113
JO - Physical Review Letters
JF - Physical Review Letters
IS - 12
M1 - 123902
ER -