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Free-space propagation model for coherence-separable broadband optical fields

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Abstract

A free-space propagation model for broadband (spectral purity λ/Δλ ~ 1) optical fields is developed based on a Karhunen-Loéve (KL) expansion of the time-varying portion of a coherence-separable broadband optical envelope. For long characterization intervals it is found that the eigenfunctions of the KL expansion are approximated by complex exponentials of a Fourier-series expansion; the corresponding eigenvalues are approximated by samples of the temporal power spectrum, sampled at the harmonic frequencies of the Fourier-series expansion. The resulting modal expansion provides an intuitively simple interpretation of the propagation of broadband fields and allows the output field statistics to be calculated easily.

© 1980 Optical Society of America

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