Habitat for Creative Electromagneticists

High Frequency Asymptotics


Goals

We have studied approximate, high frequency solutions to Maxwell’s equations and their applications to a variety of EM propagation, scattering, and diffraction problems.  

 

Papers

  1. I. Dajani, E. C. Morse, and R. W. Ziolkowski, “Weakly nonlinear geometrical optics in dispersive media,” Physica D, Vol. 64, pp. 237-250, 1993.  

  2. I. Dajani, G. DiPeso, E. C. Morse, and R. W. Ziolkowski, “Gaussian beam propagation in a weakly nonlinear medium: a geometrical optics approach,” Phys. Rev. A, Vol. 141, pp. 3740, 1990  

  3. R. W. Ziolkowski and G. A. Deschamps, “The asymptotic Poincare' lemma and its applications,” SIAM J. Math. Anal., Vol. 15(3), pp. 535-558, 1984.                                  

  4. R. W. Ziolkowski and G. A. Deschamps, “Asymptotic evaluation of high-frequency fields near a caustic: An introduction to Maslov's method,” Radio Sci., Vol. 19(4), pp. 1001-1025, 1984.