Radiation of accelerating pulses with specified envelopes
DOI:
https://doi.org/10.1109/ICATT.2015.7136801Keywords:
antenna, pulse radiation, accelerating propagation, Airy pulse, GaussianAbstract
A problem for radiation of time accelerating electromagnetic pulses is considered in paraxial approximation. It is shown that the pulse envelope moves in the times-patial coordinates on the surface of a cylinder, the parabolic one for the pulse in the form of Airy function and for the hyperbolic one for Gaussian. Each of the pulse propagates in time with deceleration along the dominant propagation direction and drifts uniformly in the lateral direction stopping at infinity.References
BERRY, M.V.; BALAZS, N.L. Nonspreading wave packets. Am. J. Phys., 1979, v.47, n.264, doi: http://dx.doi.org/10.1119/1.11855.
SIVILOGLOU, G.A.; CHRISTODOULIDES, D.N. Accelerating finite energy Airy beams. Optics Letters, 2007, v.32, n.979, doi: http://dx.doi.org/10.1364/OL.32.000979.
SIVILOGLOU, G.A.; BROKY, J.; DOGARIU, A.; CHRISTODOULIDES, D.N. Observation of accelerating Airy beams. Physical Review Letters, 2007, v.99, n.213901, doi: http://dx.doi.org/10.1103/PhysRevLett.99.213901.
SAARI, P. Laterally accelerating airy pulses. Opt. Express, 2008, v.16, p.10303-10308, doi: http://dx.doi.org/10.1364/OE.16.010303.
BAUMGARTL, J.; MAZILU, M.; DHOLAKIA, K. Optically mediated particle clearing using Airy wavepackets. Nature Photonics, 2008, v.2, n.675, doi: http://dx.doi.org/10.1038/nphoton.2008.201.
KAGANOVSKY, Y.; HEYMAN, E. Airy pulsed beams. J. Opt. Soc. Am. A, 2011, v.28, p.1243-1255, doi: http://dx.doi.org/10.1364/JOSAA.28.001243.
FATTAL, Y.; RUDNICK, A.; MAROM, D.M. Soliton shedding from Airy pulses in Kerr media. Optics Express, 2011, v.19, p.17298-17307, doi: http://dx.doi.org/10.1364/OE.19.017298.
KAMINER, Y.; SEGEV LUMER, M.; CHRISTODOULIDES, D.N. Causality effects on accelerating light pulses. Optics Express, 2011, v.19, p.23132-23139, doi: http://dx.doi.org/10.1364/OE.19.023132.
