1982 Antennas and Propagation Society International Symposium
DOI: 10.1109/aps.1982.1148820
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Focus wave modes in homogeneous Maxwell's equations - TE-MODE

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Cited by 4 publications
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“…The distortion-free solutions of the wave equation, known to mathematicians for a long time [1], were ignored by physicists and engineers until the independent publications in 1983 by Brittingham [2] (who coined the term focus wave mode) and by Kiselev [3]. Then, expectations were great to generate beams with Gaussian transverse structure and propagating without distortion.…”
Section: Discussionmentioning
confidence: 99%
“…The distortion-free solutions of the wave equation, known to mathematicians for a long time [1], were ignored by physicists and engineers until the independent publications in 1983 by Brittingham [2] (who coined the term focus wave mode) and by Kiselev [3]. Then, expectations were great to generate beams with Gaussian transverse structure and propagating without distortion.…”
Section: Discussionmentioning
confidence: 99%
“…A TM mode can be obtained by exchanging the electric and magnetic fields. Brittingham [4][5][6] proposed a function (ψ B ) that satisfies the vacuum wave Equation 1 whose solutions to Maxwell equations are spatially localized electromagnetic pulses that propagate at the speed of light: ψ B = f 0B exp(−γs + imφ)r m (iτ + q 1 ) −m−1 (5) where s = r 2 iτ +q 1 − i(ct + z), τ = z − ct, (r, φ, z) are the cylindrical coordinates; f 0B is a normalizing constant; m is the azimuthal index (or topological charge); and finally, γ, α, and q 1 are positive parameters.…”
Section: Introductionmentioning
confidence: 99%
“…Flying Donuts were introduced in the context of Brittingham's work on "focus wave modes" (1983) where he described a new class of wideband non-diffracting pulses, localized solutions to Maxwell's equations [6]. Soon after, R. W. Ziolkowski showed that, although "focus wave modes" are unphysical and have infinite energy [7], a finite energy pulse can be constructed from superposition of such modes [8].…”
Section: Introductionmentioning
confidence: 99%