Lekner summation for two-dimensional magnetic dipolar interaction energy Original Research Article

The Lekner method for calculation of dipolar interaction energy in periodically replicated simulation cells is extended to two-dimensional array systems of nanoparticles with point dipoles. The dipolar interaction energy is expressed by rapidly converging series of modified Bessel functions. We emphasize that the self-energy must be included in simulations of the 2D dipolar coupling systems and derive two simple formulas to evaluate the self-energy.