title: Coherent-mode representation of partially polarized pulsed electromagnetic beams.
abstract: Coherent-mode representation provides physical insight and computational simplification into the analysis of random optical signals. In this work, we present the coherent-mode decomposition for pulsed electromagnetic beam fields. We show that the mode decomposition can be done for any valid space-frequency or space-time coherence matrix representing nonstationary pulsed electric field, and moreover, the spectral and temporal modes are connected via a Fourier transform relation. The analysis also yields the coherent modes of electromagnetic time-domain signals in temporal optics. We present the overall degree of coherence as a measure of the average temporal or spectral and spatial coherence of the beam. Several illustrative examples are discussed analytically and numerically.
authors: Timo
authors: T
authors: Voipio
authors: Tero
authors: T
authors: Setälä
authors: Ari T
authors: AT
authors: Friberg