Few Cycle Pulse Propagation: long paper

Paul Kinsler, G.H.C. New

    Department of Physics,
    Imperial College,
    Prince Consort Road,
    London SW7 2BW,
    United Kingdom.

    http://arXiv.org/physics/0212016

    This is an expanded version of a paper published in
    Phys. Rev. A.

We present a comprehensive framework for treating the nonlinear 
interaction of few-cycle pulses using an envelope description
that goes beyond the traditional SVEA method. This is applied
to a range of simulations that demonstrate how the effect of a
$\chi^{(2)}$ nonlinearity differs between the many-cycle and 
few-cycle cases. Our approach, which includes diffraction,
dispersion, multiple fields, and a wide range of
nonlinearities, builds upon the work of Brabec and Krausz[1]
and Porras[2]. No approximations are made until the final
stage when a particular problem is considered.

Email: Dr.Paul.Kinsler@physics.org