Elegant Ince-Gaussian beams,which are the exact solutions of the paraxial wave equation in a quadratic-index medium,are derived in elliptical coordinates.These kinds of beams are the alternative form of standard Ince-Gaussian beams and they display better symmetry between the Ince-polynomials and the Gaussian function in mathematics.The transverse intensity distribution and the phase of the elegant Ince-Gaussian beams are discussed.
Elegant Ince-Gaussian beams, which are the exact solutions of the paraxial wave equation in a quadratic-index medium, are derived in elliptical coordinates. These kinds of beams are the alternative form of standard Ince-Gaussian beams and they display better symmetry between the ]nce-polynomials and the Gaussian function in mathematics. The transverse intensity distribution and the phase of the elegant Ince Gaussian beams are discussed.