Independent-elementary-pulse representation for non-stationary fields

Optics Express

Volumn 14, Issue 12, 2006, Pages 5007-5012

  Vahimaa, Pasi ^a   Turunen, Jari ^a  

^a UNIVERSITY OF EASTERN FINLAND   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROMAGNETIC WAVES; LASER BEAMS; LINEAR ALGEBRA; MATHEMATICAL MODELS; OPTICAL CORRELATION;

EXPONENTIAL ELEMENTARY PULSES; LORENTZIAN SPECTRA; NON-STATIONARY FIELDS; SPECTRAL COHERENCE PROPERTIES;

LASER PULSES;

EID: 33745121809     PISSN: 10944087     EISSN: 10944087     Source Type: Journal    
DOI: 10.1364/OE.14.005007     Document Type: Article

References (17)

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15. We do not assume a(t) to be a 'slow' function of t; the elementary field is written in the form of Eq. (1) for notational convenience only.
16. This requirement follows from the positive definiteness of Γ.
17. In view of the normalization (3), this limit should be understood as g(t) = 1/T′ over an interval -T′/2 < t′ < T′/2, where T′ → ∞.