Calculation of Scattering Field from an Infinite Dielectric Cylinder Using Moment Method and Analytical Approach

This program introduces two computational approaches for determining the scattering field of an infinite dielectric cylinder. The first method employs the Moment Method, which discretizes the cylinder into small volumetric elements. The algorithm calculates electromagnetic field contributions from each element through electric and magnetic field integrals (typically implemented via Greens function integration), then sums these contributions to obtain the total scattered field. The second method utilizes an Analytical Solution, modeling the cylinder as a series of idealized point sources. The implementation solves electromagnetic wave propagation equations (such as Helmholtz equations) to compute radiation fields from each source, subsequently superimposing them to derive the final scattering field. These methodologies facilitate deeper insight into scattering phenomena and enable investigation of their behavioral variations under different conditions – particularly valuable for analyzing parameter dependencies like cylinder dimensions and material permittivity. The comparative implementation provides significant benefits for both research applications and practical electromagnetic simulations, offering validation through cross-method verification.