Title :
On determining transformation for moving frames using scalar functions
Author_Institution :
Dept. of Electr. Eng., Toledo Univ., OH, USA
Abstract :
The determination of a valid four-dimensional transformation for rectilinear motion is described. The retarded scalar electric potential field is written in the inertial (unprimed) frame. Using the transformation by invariance (substitution coordinate transformation), the distance factor is employed to deduce the spatial transformations and the phase factor is used to determine the form of the temporal transformation. The existence of the transformation is discussed, and the method is applied to uniform and nonuniform motion.<>
Keywords :
electromagnetic field theory; transforms; EM fields; distance factor; four-dimensional transformation; invariance; moving frames; phase factor; rectilinear motion; retarded scalar electric potential field; scalar functions; spatial transformations; substitution coordinate transformation; temporal transformation; Acceleration; Constraint theory; Electric potential; Electromagnetic fields; Equations;
Conference_Titel :
Antennas and Propagation Society International Symposium, 1992. AP-S. 1992 Digest. Held in Conjuction with: URSI Radio Science Meeting and Nuclear EMP Meeting., IEEE
Conference_Location :
Chicago, IL, USA
Print_ISBN :
0-7803-0730-5
DOI :
10.1109/APS.1992.221672
