Spatial Aspects of Interaction Between High-Energy Pulses and Waves Considered as Suddenly Emerging Phenomena

As it is known, practical test-functions are very useful for modeling suddenly emerging phenomena [1]. By this study we are trying to use some specific features of these functions for modeling aspects connected with interactions between electromagnetic pulses and material bodies for the relativistic case, when the material body moves with speed

c

as related to the reference system where this pulse was emitted. At the beginning the problem appearing for high-energy electromagnetic pulses interacting with very small particles is presented; in this case, the model considering the transformation of a received wave train by observer’s material medium must be replaced, while the energy of a received high-energy pulse can be higher than the whole energy

mc

2

of some small (elementary) particles. Thus it results that in this case the associated wave-train corresponding to the body should be transformed also by the received pulse (scaling aspects having to be taken into consideration). Then it is shown that integral properties of test functions can be used for modeling smooth transitions when the resulting force changes its sign.