The patent badge is an abbreviated version of the USPTO patent document. The patent badge does contain a link to the full patent document.

The patent badge is an abbreviated version of the USPTO patent document. The patent badge covers the following: Patent number, Date patent was issued, Date patent was filed, Title of the patent, Applicant, Inventor, Assignee, Attorney firm, Primary examiner, Assistant examiner, CPCs, and Abstract. The patent badge does contain a link to the full patent document (in Adobe Acrobat format, aka pdf). To download or print any patent click here.

Date of Patent:
Aug. 13, 2013

Filed:

May. 23, 2005
Applicants:

Valerio Abate, Saronno, IT;

Cesar Augusto Dartora, Erechim, BR;

Hugo Enrique Hernàndez Figueroa, Sao Paolo, BR;

Marco Mattiuzzi, Grassina Bagno a Ripoli, IT;

Kleber Zuza Nobrega, Fortaleza-Ceara, BR;

Michel Zamboni Rached, Sao Paolo, BR;

Erasmo Recami, Mozzo, IT;

Inventors:

Valerio Abate, Saronno, IT;

Cesar Augusto Dartora, Erechim, BR;

Hugo Enrique Hernàndez Figueroa, Sao Paolo, BR;

Marco Mattiuzzi, Grassina Bagno a Ripoli, IT;

Kleber Zuza Nobrega, Fortaleza-Ceara, BR;

Michel Zamboni Rached, Sao Paolo, BR;

Erasmo Recami, Mozzo, IT;

Assignee:
Attorney:
Primary Examiner:
Int. Cl.
CPC ...
G06F 17/00 (2006.01); H04B 3/04 (2006.01);
U.S. Cl.
CPC ...
Abstract

Method for producing a stationary wave field of arbitrary shape comprising the steps of defining at least one volume being limited in the direction of the axis of propagation of a beam, of the type 0≦z≦L; defining an intensity pattern within the said region 0≦z≦L by a function F(z), describing the said localized and stationary intensity pattern, which is approximated by means of a Fourier expansion or by a similar expansion in terms of (trigonometric) orthogonal functions; providing a generic superposition of Bessel or other beams highly transversally confined; calculating the maximum number of superimposed Bessel beams the amplitudes, the phase velocities and the relative phases of each Bessel beam of the superposition, and the transverse and longitudinal wavenumbers of each Bessel beam of the superposition.


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