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In radio astronomical applications, it may be essential to accurately evaluate the electromagnetic scattering and power dissipation losses of nearby dielectric objects, such as radomes. However, the numerical analysis becomes a burdensome task when the dielectric becomes thin, complex shaped, and electrically large. To mitigate these problems, we propose to employ high-resolution basis functions for accurate modeling of electromagnetic scattering from dielectric objects. Application of these basis functions significantly eases the computational burden of generating the on- and off-diagonal...