The Vacuum Impedance and Unit Systems
Abstract
In the electromagnetic theory, the vacuum impedance Z_{0} is a universal constant, which is as important as the velocity of light c_{0} in vacuum. Unfortunately, however, its significance is not appreciated so well and sometimes the presence itself is ignored. It is partly because in the Gaussian system of units, which has widely been used for long time, Z_{0} is a dimensionless constant and of unit magnitude. In this paper, we clarify that Z_{0} is a fundamental parameter in electromagnetism and plays major roles in the following scenes: reorganizing the structure of the electromagnetic formula in reference to the relativity; renormalizing the quantities toward natural unit systems starting from the SI unit system; and defining the magnitudes of electromagnetic units.
 Publication:

IEICE Transactions on Electronics
 Pub Date:
 2009
 DOI:
 10.1587/transele.E92.C.3
 arXiv:
 arXiv:physics/0607056
 Bibcode:
 2009IEITE..92....3K
 Keywords:

 vacuum impedance;
 wave impedance;
 Maxwell's equation;
 SI unit system;
 Gaussian unit system;
 metamaterial;
 Physics  General Physics;
 Physics  Classical Physics
 EPrint:
 6 pages, corrected typos