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We develop a dual description of quantum optics adapted to dielectric systemswithout magnetic property. Our formalism, which is shown to be equivalent tothe standard one within some dipolar approximations discussed in the article,is applied to the description of polaritons in dielectric media. We show thatthe dual formalism leads to the Huttner-Barnett equations [B. Huttner, S. M.Barnett, Phys. Rev. A \textbf{46}, 4306 (1992)] for QED in dielectric systems.More generally, we discuss the role of electromagnetic duality in thequantization procedure for optical systems and derive the structure of thedynamical laws in the various representations.

A dual-Lagrangian description adapted to quantum optics in dispersive and dissipative dielectric media