We extend Mandel’s scalar-wave concept of cross-spectral purity to electromagnetic fields. We show that in the electromagnetic case, assumptions similar to the scalar cross-spectral purity lead to a reduction formula, analogous with the one introduced by Mandel. We also derive a condition that shows that the absolute value of the normalized zeroth two-point Stokes parameter of two cross-spectrally pure electromagnetic fields is the same for every frequency component of the field. In analogy with the scalar theory we further introduce a measure of the cross-spectral purity of two electromagnetic fields, namely, the degree of electromagnetic cross-spectral purity.
© 2009 Optical Society of America
Original Manuscript: September 11, 2009
Revised Manuscript: November 12, 2009
Manuscript Accepted: November 12, 2009
Published: December 10, 2009
Timo Hassinen, Jani Tervo, and Ari T. Friberg, "Cross-spectral purity of electromagnetic fields," Opt. Lett. 34, 3866-3868 (2009)