Free-space propagation of spatiotemporal optical vortices

Hancock, S. W.; Zahedpour, S.; Goffin, A.; Milchberg, H. M.

doi:10.1364/optica.6.001547

Cited by 195 publications

(155 citation statements)

References 25 publications

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“…Partial coherence is introduced by incoherently summing many such realizations, or pulses. Although we have ignored it for mathematical convenience, we note that the spatial distribution of the beam in the y direction is generally unaffected by the pulse shaper 27 . The beam, therefore, can be spatially shaped either before or after the pulse shaper.…”

Section: Resultsmentioning

confidence: 99%

“…As briefly stated above, the time t paraxially corresponds to the physical propagation dimension (i.e., ). As such, when , a twisted space-time beam tumbles as it propagates, and like beams with STOVs 23 , 25 – 27 , has a component of OAM in the direction depending on the sign of . Figure 1 and the corresponding Supplementary Video V1 show this behavior for an example twisted space-time GSM partially coherent beam.…”

Section: Methodsmentioning

confidence: 99%

“…All of these beams possess OAM orientated in the longitudinal direction. Recently, a class of vortex beams has been introduced where the vortex exists in the space-time domain 22 – 27 . Referred to as spatiotemporal optical vortices (STOVs), these beams carry transverse OAM.…”

Section: Introductionmentioning

confidence: 99%

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Twisted space-frequency and space-time partially coherent beams

Hyde

2020

Sci Rep

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We present partially coherent sources that are statistically twisted in the space-frequency and space-time domains. Beginning with the superposition rule for genuine partially coherent sources, we derive source plane expressions for the cross-spectral density (CSD) and mutual coherence functions (MCFs) for twisted space-frequency and space-time Gaussian Schell-model (GSM) beams. Using the Fresnel approximation to the free-space Green’s function, we then paraxially propagate the CSD and MCF to any plane . We discuss the beams’ behavior as they propagate, with particular emphasis on how the beam shape rotates or tumbles versus z . To validate our analysis, we simulate the generation and subsequent propagation of twisted space-frequency and space-time GSM beams. We compare the simulated moments to the corresponding theoretical predictions and find them to be in excellent agreement. Lastly, we describe how to physically synthesize twisted space-frequency and space-time partially coherent sources.

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Section: Resultsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

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Twisted space-frequency and space-time partially coherent beams

Hyde

2020

Sci Rep

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“…In the last few years, spatiotemporal-structured light beams with inhomogeneous structures in space-time domain have become a significant field due to their unique nature [28][29][30], although these kinds of beams were proposed a long time ago [31,32]. By tailoring the spatiotemporal property of light beams, spatiotemporal-structured light beams with specific nature can be generated and adopted in many applications in a frontier.…”

Section: Different Types Of Structured Lightmentioning

confidence: 99%

Generation and Detection of Structured Light: A Review

Wang

Liang

2021

Front. Phys.

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Structured light beams have rapidly advanced over the past few years, from specific spatial-transverse/longitudinal structure to tailored spatiotemporal structure. Such beams with diverse spatial structures or spatiotemporal structures have brought various breakthroughs to many fields, including optical communications, optical sensing, micromanipulation, quantum information processing, and super-resolution imaging. Thus, plenty of methods have been proposed, and lots of devices have been manufactured to generate structured light beams by tailoring the structures of beams in the space domain and the space–time domain. In this paper, we firstly give a brief introduction of different types of structured light. Then, we review the recent research progress in the generation and detection of structured light on different platforms, such as free space, optical fiber, and integrated devices. Finally, challenges and perspectives are also discussed.

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“…STOVs can also be artificially generated by applying spatiotemporal index transients to a pulse [21]. A 4f pulse shaper, as described in [21], was used to generate such pump pulses. A reflective grating was used to Fourier transform the original pump pulse into the frequency domain and then a π-step phase-mask was used to apply a field null to it.…”

Section: Imaging Of Spatio-temporal Optical Vortex Pulsesmentioning

confidence: 99%

Simplified single-shot supercontinuum spectral interferometry

et al. 2020

Self Cite

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We have experimentally demonstrated a simplified method for performing single-shot supercontinuum spectral interferometry (SSSI) that does not require pre-characterization of the probe pulse. The method, originally proposed by D. T. Vu, D. Jang, and K. Y. Kim, uses a genetic algorithm (GA) and as few as two time-delayed pump-probe shots to retrieve the pump-induced phase shift on the probe [Opt. Express 26, 20572 (2018)]. We show that the GA is able to successfully retrieve the transient modulations on the probe, and that the error in the retrieved modulation decreases dramatically with the number of shots used. In addition, we propose and demonstrate a practical method that allows SSSI to be done with a single pump-probe shot (again, without the need for pre-characterization of the probe). This simplified method can prove to be immensely useful when performing SSSI with a low-repetition-rate laser source.

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Free-space propagation of spatiotemporal optical vortices

Cited by 195 publications

References 25 publications

Twisted space-frequency and space-time partially coherent beams

Twisted space-frequency and space-time partially coherent beams

Generation and Detection of Structured Light: A Review

Simplified single-shot supercontinuum spectral interferometry

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