Physics – Optics
Scientific paper
2005-12-16
Physics
Optics
27 pages, 7 figures
Scientific paper
10.1364/JOSAA.23.002166
In this paper, starting from some general and plausible assumptions based on geometrical optics and on a common feature of the truncated Bessel beams, a heuristic derivation is presented of very simple analytical expressions, capable of describing the longitudinal (on-axis) evolution of axially-symmetric nondiffracting pulses when truncated by finite apertures. We apply our analytical formulation to several situations involving subluminal, luminal or superluminal localized pulses and compare the results with those obtained by numerical simulations of the Rayleigh-Sommerfeld diffraction integrals. The results are in excellent agreement. The present approach can be very useful, because it can yield, in general, closed analytical expressions, avoiding the need of time-consuming numerical simulations, and also because such expressions provide a powerful tool for exploring several important properties of the truncated localized pulses, as their depth of fields, the longitudinal pulse behavior, the decaying rates, and so on.
No associations
LandOfFree
Analytical expressions for the longitudinal evolution of nondiffracting pulses truncated by finite apertures does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Analytical expressions for the longitudinal evolution of nondiffracting pulses truncated by finite apertures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Analytical expressions for the longitudinal evolution of nondiffracting pulses truncated by finite apertures will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-112542