When a circularly symmetric function with finite support is expanded into a series oi Laguerre-Gauss functions the pertaining spot-size can be chosen at will. However, if the series is truncated the choice of the spot-size affects the truncation error. We suggest a simple rule for minimizing the error. The application to the circ function is discussed in some detail.
Borghi, R., Gori, F., Santarsiero, M. (1996). Optimization of Laguerre-Gauss truncated series. OPTICS COMMUNICATIONS, 125, 197-203.
Optimization of Laguerre-Gauss truncated series
SANTARSIERO, Massimo
1996-01-01
Abstract
When a circularly symmetric function with finite support is expanded into a series oi Laguerre-Gauss functions the pertaining spot-size can be chosen at will. However, if the series is truncated the choice of the spot-size affects the truncation error. We suggest a simple rule for minimizing the error. The application to the circ function is discussed in some detail.File in questo prodotto:
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