Vico Bondía, FelipeGreengard, LeslieGimbutas, Zydrunas2015-10-012015-10-012014-110029-599Xhttps://riunet.upv.es/handle/10251/55459We present a systematic analysis of the integral operators of potential theory that arise when solving the Helmholtz or Maxwell equations in the exterior (or interior) of a sphere in the frequency domain. After obtaining expressions for the signatures of layer potentials in the spherical harmonic or vector spherical harmonic basis, we turn to a consideration of various integral equations that have been proposed in the literature for problems of acoustic and electromagnetic scattering. The selection of certain parameters in combined field and Calderon-preconditioned formulations is shown to have a significant impact on condition number, extending earlier work by Kress and others.Reserva de todos los derechosAcoustic scattering problemsMaxwell equationsOperatorsEcuaciones integralesElectromagnetismo aplicadoTEORIA DE LA SEÑAL Y COMUNICACIONESBoundary integral equation analysis on the sphereArtículo10.1007/s00211-014-0619-zCerrado0945-3245