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Solutions to Paraxial Wave Equation in Different Coordinates

Explore Gaussian beams and Hermite-Gaussian, Laguerre-Gaussian, and Ince-Gaussian beam modes as solutions to the paraxial wave equation in Cartesian, polar, and elliptical coordinates separated by variables. Derived from J. Strohaber's dissertation.

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Solutions to Paraxial Wave Equation in Different Coordinates

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  1. Gaussian Beams and the Paraxial Wave Equation

  2. Hermite-Gaussian beam modes Solutions to the paraxial wave equation in Cartesian coordinates by separation of variables Taken from J. Strohaber’s dissertation

  3. Laguerre-Gaussian beam modes Solutions to the paraxial wave equation in polar coordinates by separation of variables Taken from J. Strohaber’s dissertation

  4. Laguerre-Gaussian beam modes Solutions to the paraxial wave equation in polar coordinates by separation of variables Taken from J. Strohaber’s dissertation

  5. Laguerre-Gaussian beam modes Solutions to the paraxial wave equation in polar coordinates by separation of variables Taken from J. Strohaber’s dissertation

  6. Ince-Gaussian beam modes Solutions to the paraxial wave equation in elliptical coordinates by separation of variables Taken from J. Strohaber’s dissertation

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