surface harmonics of the first kind
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3 matching pages
14.30.2… ► are known as surface harmonics of the first kind: tesseral for and sectorial for . …
… ►Bessel functions of the first kind, , arise naturally in applications having cylindrical symmetry in which the physics is described either by Laplace’s equation , or by the Helmholtz equation . … ►Consequently, Bessel functions , and modified Bessel functions , are central to the analysis of microwave and optical transmission in waveguides, including coaxial and fiber. … ►Bessel functions enter in the study of the scattering of light and other electromagnetic radiation, not only from cylindrical surfaces but also in the statistical analysis involved in scattering from rough surfaces. … ►On separation of variables into cylindrical coordinates, the Bessel functions , and modified Bessel functions and , all appear. … ►With the spherical harmonic defined as in §14.30(i), the solutions are of the form with , , , or , depending on the boundary conditions. …
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