title: Spatial light structuring using a combination of multiple orthogonal orbital angular momentum beams with complex coefficients.
abstract: Analogous to time signals that can be composed of multiple frequency functions, we use uniquely structured orthogonal spatial modes to create different beam shapes. We tailor the spatial structure by judiciously choosing a weighted combination of multiple modal states within an orthogonal orbital angular momentum (OAM) basis set, creating desired beam intensity "shapes." The weights of the OAM beams to be combined forms a Fourier pair with the spatial intensity distribution in the azimuthal direction of the resultant beam. As an example, we simulate and experimentally create various beam shapes by designing the weights of the combined OAM beams. We also find that 6× higher localized power, as compared to traditional beam combining, could be achieved by coherently combining nine orthogonal OAM beams.
authors.forename: Guodong
authors.initials: G
authors.lastname: Xie
authors.forename: Cong
authors.initials: C
authors.lastname: Liu
authors.forename: Long
authors.initials: L
authors.lastname: Li
authors.forename: Yongxiong
authors.initials: Y
authors.lastname: Ren
authors.forename: Zhe
authors.initials: Z
authors.lastname: Zhao
authors.forename: Yan
authors.initials: Y
authors.lastname: Yan
authors.forename: Nisar
authors.initials: N
authors.lastname: Ahmed
authors.forename: Zhe
authors.initials: Z
authors.lastname: Wang
authors.forename: Asher J
authors.initials: AJ
authors.lastname: Willner
authors.forename: Changjing
authors.initials: C
authors.lastname: Bao
authors.forename: Yinwen
authors.initials: Y
authors.lastname: Cao
authors.forename: Peicheng
authors.initials: P
authors.lastname: Liao
authors.forename: Morteza
authors.initials: M
authors.lastname: Ziyadi
authors.forename: Ahmed
authors.initials: A
authors.lastname: Almaiman
authors.forename: Solyman
authors.initials: S
authors.lastname: Ashrafi
authors.forename: Moshe
authors.initials: M
authors.lastname: Tur
authors.forename: Alan E
authors.initials: AE
authors.lastname: Willner