The indeterminacies of measurements using pulses of coherent electromagnetic energy

The measurements, on a single pulse function of electromagnetic radiation, of the position of a scatterer with polar co-ordinates R, ¿ are interdeterminate in themselves. The positional indeterminacies are related by ¿R¿¿ ¿ ¿¿t, where ¿t is the wavelength of the source. The relation between the indeterminacies of range R and radial velocity Vr is found to be ¿R¿Vr ¿ ¿¿tC. It is shown that vector position and vector velocity are not measurable simultaneously, and it is suggested that the 3-dimensional measurement problem is basically limited to non-simultaneous measurements which have restrictions in the presence of multiple scatterers. Similarity is noted to the quantum-mechanical problem.