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2 Dec 2002

Volume 81, Issue 23, pp. 4315-4476

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Losses for microwave transmission in metamaterials for producing left-handed materials: The strip wires

E. V. Ponizovskaya, M. Nieto-Vesperinas, and N. Garcia

Appl. Phys. Lett. 81, 4470 (2002); http://dx.doi.org/10.1063/1.1527982 (3 pages) | Cited 8 times

Online Publication Date: 25 November 2002

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This letter shows that the effective permittivity ϵ for those metamaterials so far used to obtain a left-handed medium, consisting of 0.003 cm thick Cu strip wires, is dominated by the imaginary part of ϵ at 10.6–11.5 GHz frequencies. This is the region of a bandpass filter for microwaves, and therefore there is no propagation since the wave is inhomogeneous inside the medium. We compare with results of Shelby et al. [Appl. Phys. Lett. 78, 489 (2001)], and find that those are in error by ten orders of magnitude of the transmitted power. Also, from finite-difference time-domain calculations using the actual permittivity value of the Cu wires, we demonstrate that when the structure contains thicker wires, the losses are then reduced and the negative part of the permittivity dominates. Since the thickness of the wires is critical for the realization of a good transparent left-handed material, we propose that the strip wires should have thickness of 0.07–0.1 cm and the split ring resonators should be 0.030–0.06 cm thick. © 2002 American Institute of Physics.
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84.40.Az Waveguides, transmission lines, striplines
77.22.Ch Permittivity (dielectric function)
84.30.Vn Filters
02.70.Bf Finite-difference methods

Classical field descriptions for ultrashort tightly-focused laser pulses

P. X. Wang and J. X. Wang

Appl. Phys. Lett. 81, 4473 (2002); http://dx.doi.org/10.1063/1.1521252 (3 pages) | Cited 8 times

Online Publication Date: 25 November 2002

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The wave equations for an ultrashort tightly-focused laser pulse in Hermite–Gaussian (0,0) mode are solved approximately. We obtain the analytical field expressions, which are exact up to the second order of the parameters 1/(k0L) and 1/(k0w0) (k0 is the laser wave number, w0 the laser beam waist, and L the laser pulse length). Our solutions can be reduced to usual paraxial ones naturally and more precise compared with the usual paraxial ones. © 2002 American Institute of Physics.
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42.55.Ah General laser theory
42.60.Fc Modulation, tuning, and mode locking
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