Abstract
The Mie scattering of a circularly polarized, purely azimuthal Laguerre-Gauss beam carrying orbital angular momentum from a particle small compared with the incident wavelength is treated analytically. Using the vector spherical harmonics, we show angular momentum conservation leads to two physical mechanisms that cause vanishingly small scattering intensity when the dipole moment dominates the response of the particle. The application of this angular-momentum-induced transparency is discussed in the case of a plasmonic crystal whose collective modes possess a well-defined angular momentum content.
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