Several years ago, I suggested a quantum field theory which has many attractive features. (1) It can explain the quantization of electric charge. (2) It describes symmetrized Maxwell equations. (3) It is manifestly covariant. (4) It describes local four-potentials. (5) It avoids the unphysical Dirac string. Here I will review the ideas which led to my model of magnetic monopoles including my prediction of the second kind of electromagnetic radiation. I will present also the mathematical formalism. Moreover I will suggest an experiment to verify the second kind of electromagnetic radiation and point out a possible observation of this radiation by August Kundt in 1885. Finally, I will list the many and far-reaching consequences, if this radiation will be confirmed by future experiments.