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Phys Rev E Stat Nonlin Soft Matter Phys. 2002 Feb;65(2):026405. doi: 10.1103/PhysRevE.65.026405. Epub 2002 Jan 24.

Eigenmodes for capillary tubes with dielectric walls and ultraintense laser pulse guiding.

Physical review. E, Statistical, nonlinear, and soft matter physics

B Cros, C Courtois, G Matthieussent, A Di Bernardo, D Batani, N Andreev, S Kuznetsov

Affiliations

  1. LPGP, CNRS UMR 8578, Université Paris XI, Bâtiment 210, 91405 Orsay cedex, France.

PMID: 11863666 DOI: 10.1103/PhysRevE.65.026405

Abstract

The properties of the eigenmodes of a capillary tube are examined in the context of ultrashort intense laser pulse guiding. The dispersion relation for the eigenmodes of a cylindrical hollow waveguide is derived and the family of eigenmodes EH(nus) is shown to be a solution of the wave equation up to the first order under the condition k(0)a >>1, where k(0) is the light wave number and a the capillary tube radius. The expressions of the fields for the eigenmodes are given at zero and first order of a small parameter equal to the ratio of the perpendicular to longitudinal wave number and the absorbed intensity at the wall is estimated.

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