Gaussian Beams and the Paraxial Wave Equation.

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Presentation transcript:

Gaussian Beams and the Paraxial Wave Equation

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

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

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

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

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