Designing the phase and amplitude of scalar optical fields in three dimensions

Aborahama, Yousuf; Dorrah, Ahmed H.; Mojahedi, Mo

doi:10.1364/oe.397119

Cited by 15 publications

(5 citation statements)

References 30 publications

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“…One might argue that these limitations can be bypassed by specifying the way the nearby fields are distributed so that the intensity goes to zero at the desired singularity locations. By doing so, one can then construct the closest wave-equation solution to the predefined phase and amplitude distribution using analytic techniques 23 . However, in specifying one spatial pattern adjacent to the singularity, one will reduce the space of acceptable designs by excluding other optical fields that also contain the desired singularity structure, potentially excluding better-behaved fields which more closely approximate the desired field distribution.…”

Section: Resultsmentioning

confidence: 99%

Engineering phase and polarization singularity sheets

et al. 2021

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Optical phase singularities are zeros of a scalar light field. The most systematically studied class of singular fields is vortices: beams with helical wavefronts and a linear (1D) singularity along the optical axis. Beyond these common and stable 1D topologies, we show that a broader family of zero-dimensional (point) and two-dimensional (sheet) singularities can be engineered. We realize sheet singularities by maximizing the field phase gradient at the desired positions. These sheets, owning to their precise alignment requirements, would otherwise only be observed in rare scenarios with high symmetry. Furthermore, by applying an analogous procedure to the full vectorial electric field, we can engineer paraxial transverse polarization singularity sheets. As validation, we experimentally realize phase and polarization singularity sheets with heart-shaped cross-sections using metasurfaces. Singularity engineering of the dark enables new degrees of freedom for light-matter interaction and can inspire similar field topologies beyond optics, from electron beams to acoustics.

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Section: Resultsmentioning

confidence: 99%

Engineering phase and polarization singularity sheets

et al. 2021

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“…Figures 6(a) and (b) exhibit two examples of structured light following arbitrary trajectories in 3D. Beams of this nature can either be inverse designed by backpropagating the target pattern to an initial plane that defines the desired hologram [35] or by sculpting the incident waveform into an ensemble of co-propagating modes with different longitudinal wavevectors which beat along the direction of propagation, thereby modulating the resulting envelope at-will via multimode light interference. Frozen Waves and optical tractor/conveyor beams are two key examples of the latter approach; both of which have [35].…”

Section: Statusmentioning

confidence: 99%

Roadmap on multimode light shaping

Piccardo¹,

Ginis²,

Forbes³

et al. 2021

J. Opt.

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Our ability to generate new distributions of light has been remarkably enhanced in recent years. At the most fundamental level, these light patterns are obtained by ingeniously combining different electromagnetic modes. Interestingly, the modal superposition occurs in the spatial, temporal as well as spatio-temporal domain. This generalized concept of structured light is being applied across the entire spectrum of optics: generating classical and quantum states of light, harnessing linear and nonlinear light-matter interactions, and advancing applications in microscopy, spectroscopy, holography, communication, and synchronization. This Roadmap highlights the common roots of these different techniques and thus establishes links between research areas that complement each other seamlessly. We provide an overview of all these areas, their backgrounds, current research, and future developments. We highlight the power of multimodal light manipulation and want to inspire new eclectic approaches in this vibrant research community.

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“…The concept of frozen waves was introduced in 2004 [11], where it was shown that one can generate stationary localized wave fields with a longitudinal intensity pattern that can assume any desired shape. Subsequently, more complex 3D control of optical fields was demonstrated [12,13]. The interference pattern of two coherent beams can generate a simple sinusoidal periodic pattern that can achieve the required quasi phase matching in a way similar to that of periodic poling.…”

Section: Introductionmentioning

confidence: 99%

Quasi phase matching using frozen waves without periodic poling

Alghannam

2023

Preprint

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In this article, we show that quasi-phase matching can be accomplished by manipulating one of the pump beams without any periodic poling. We analyze the simple case where one of the interacting beams have a periodic pattern and the others are assumed to be plane waves. We present comparisons of the efficiency of some nonlinear processes with quasi-phase matching achieved through our method and the conventional method. We demonstrate that some patterns of the pump beam can be more efficient than conventional periodic poling.

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Designing the phase and amplitude of scalar optical fields in three dimensions

Cited by 15 publications

References 30 publications

Engineering phase and polarization singularity sheets

Engineering phase and polarization singularity sheets

Roadmap on multimode light shaping

Quasi phase matching using frozen waves without periodic poling

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