On the possibility of electromagnetically induced transparency in a plasma. I. Infinite plasma

The theory of electromagnetically induced transparency (EIT) in a plasma [S. E. Harris, Phys. Rev. Lett. 77, 5357 (1996)] is examined in the context of an infinite system. A new dispersion relation is derived which accounts for relativistic effects in an overdense plasma. Several branches of the dispersion relation are plotted and discussed. Particle simulations are used to confirm the findings.