Effect of the Energy Conservation Law, Space Dimension, and Problem Symmetry on the Poynting Vector Field Singularities.

A brief review is given of the author's recent achievements in classifying singular points of the Poynting vector patterns in electromagnetic fields of complex configuration. The deep connection between the topological structure of the force lines pattern and the law of energy conservation, the symmetry of the problem, and the dimension of the space has been unveiled. [ABSTRACT FROM AUTHOR]