September 2006
Intermediate to advanced
680 pages
22h 22m
English
book
Ultrashort Laser Pulse Phenomena, 2nd Edition
by Jean-Claude Professor Diels, Jean-Claude Diels, Wolfgang Rudolph
Content preview from Ultrashort Laser Pulse Phenomena, 2nd Edition
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Beam Propagation 49
1.5.2. Analogy between Pulse and Beam
Propagation
Comparing the paraxial wave equation (1.177) and the reduced wave
equation (1.93) describing pulse propagation through a GVD medium we notice
an interesting correspondence. Both equations are of similar structure. In terms
of the reduced wave equation the transverse space coordinates x, y in Eq. (1.177)
seem to play the role of the time variable. This space–time analogy suggests the
possibility of translating simply the effects related to dispersion into beam prop-
agation properties. For instance, we may compare the temporal broadening of an
unchirped pulse because of dispersion
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