This book is devoted to theoretical methods used in the extreme circumstances of very strong
electromagnetic fields. The development of high power lasers ultrafast processes manipulation
of electromagnetic fields and the use of very fast charged particles interacting with other
charges requires an adequate theoretical description. Because of the very strong
electromagnetic field traditional theoretical approaches which have primarily a perturbative
character have to be replaced by descriptions going beyond them. In the book an extension of
the semi-classical radiation theory and classical dynamics for particles is performed to
analyze single charged atoms and dipoles submitted to electromagnetic pulses. Special attention
is given to the important problem of field reaction and controlling dynamics of charges by an
electromagnetic field.