Optimal 3-D beam forming

Gal Shabtay, Uriel Levi, David Mendlovic, Zeev Zalevsky, Emanuel Marom

Research output: Contribution to journalConference articlepeer-review


A beam propagating in free space is exposed to the laws of diffraction, which tend to deform the wave front. Hence, 3-D beam forming is a very applicable task. For instance it may be useful in designing a special beam to be used for scanning purposes, beam forming for optical communication modules and 3-D beam forming as a tool to exceed system's resolving power. There are several techniques, which allow obtaining a reduced sensitivity to diffraction in a pre-determined region of propagation. In this paper a novel optimal technique is suggested. Using the calculus of variation method we derive an analytic expression for an optimal filter in the mean square error sense, to obtain a 3-D beam forming, which is as close as possible to the desired 3-D distribution. We applied the proposed method for obtaining a scanning beam with improved performances. The suggested approach was tested in computer simulations as well as in optical experiments and was proven to deliver improved performance. Thus one can obtain an extended working region using the resulting beam with confined lateral spread.

Original languageEnglish
Pages (from-to)8-9
Number of pages2
JournalProceedings of SPIE - The International Society for Optical Engineering
StatePublished - 1999
Externally publishedYes
EventProceedings of the 1999 18th Congress of the International Commission for Optics (ICO XVIII): Optics for the Next Millennium - San Francisco, CA, USA
Duration: 2 Aug 19996 Aug 1999


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