Self-healing of space-time light sheets

Kondakci, H. Esat; Abouraddy, Ayman F.

doi:10.1364/ol.43.003830

Cited by 58 publications

(37 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Combining techniques from spatial beam modulation [23,24] and ultrafast pulse shaping [25,26] carried out jointly with a spatial light modulator (analogous to 4 f pulse shaping in multidimensional spectroscopy [27][28][29]) can help produce these unique optical fields. This work has been extended to the synthesis of broadband ST wave packets using refractive phase plates in transmission mode [30], a demonstration of their self-healing properties [31], and a classification of all families of ST wave packets [32]. Furthermore, these recent experimental results have been accompanied by several new theoretical investigations [33][34][35][36][37][38][39].…”

Section: Introductionmentioning

confidence: 91%

Meters-long propagation of diffraction-free space-time light-sheets

Bhaduri¹,

Yessenov²,

Abouraddy³

2018

Opt. Express

Self Cite

View full text Add to dashboard Cite

Space-time (ST) wave packets are pulsed beams in which the spatial frequencies and wavelengths are tightly correlated. Proper design of the functional form of these correlations results in diffraction-free and dispersion-free axial propagation; that is, propagation invariance in free space. To date, observed propagation distances of such ST wave packets has been on the order of a few centimeters. Here we synthesize an ST wave packet in the form of a pulsed optical sheet of transverse spatial width ∼200 μm and spectral bandwidth of ∼2 nm, and observe its diffraction-free propagation for approximately 6 meters. For such ST wave packets, we identify the spectral uncertainty - the precision in associating the spatial and temporal frequencies - as a critical parameter in determining the propagation-invariant distance. We present a design strategy and an experimental methodology that enables further increase in the diffraction-free length.

show abstract

Section: Introductionmentioning

confidence: 91%

Meters-long propagation of diffraction-free space-time light-sheets

Bhaduri¹,

Yessenov²,

Abouraddy³

2018

Opt. Express

Self Cite

View full text Add to dashboard Cite

show abstract

“…We have recently introduced a novel spatio-temporal synthesis methodology for the preparation of ST wave packets that finally enables the full exploitation of their unique properties [24]. Utilizing this strategy, we have prepared ST wave packets having arbitrary group velocities in free space from 30c to −4c [25] or having a group velocity c in non-dispersive optical materials independently of the refractive index [26], in addition to synthesizing non-accelerating Airy ST wave packets [27] and confirming their diffraction in time [6], verifying self-healing [28], and demonstrating extended propagation distances [29,30] and tilted-pulse fronts [31]. An ideal ST wave packet propagates invariantly for indefinite distances, and thus can accrue in principle an arbitrary differential group delay (DGD), but requires infinite energy.…”

Section: Introductionmentioning

confidence: 99%

What is the maximum differential group delay achievable by a space-time wave packet in free space?

Yessenov¹,

Mach²,

Bhaduri³

et al. 2019

Opt. Express

Self Cite

101

View full text Add to dashboard Cite

The group velocity of 'space-time' wave packets -propagation-invariant pulsed beams endowed with tight spatio-temporal spectral correlations -can take on arbitrary values in free space. Here we investigate theoretically and experimentally the maximum achievable group delay that realistic finite-energy space-time wave packets can achieve with respect to a reference pulse traveling at the speed of light. We find that this delay is determined solely by the spectral uncertainty in the association between the spatial frequencies and wavelengths underlying the wave packet spatiotemporal spectrum -and not by the beam size, bandwidth, or pulse width. We show experimentally that the propagation of space-time wave packets is delimited by a spectral-uncertainty-induced 'pilot envelope' that travels at a group velocity equal to the speed of light in vacuum. Temporal walkoff between the space-time wave packet and the pilot envelope limits the maximum achievable differential group delay to the width of the pilot envelope. Within this pilot envelope the spacetime wave packet can locally travel at an arbitrary group velocity and yet not violate relativistic causality because the leading or trailing edge of superluminal and subluminal space-time wave packets, respectively, are suppressed once they reach the envelope edge. Using pulses of width ∼ 4 ps and a spectral uncertainty of ∼ 20 pm, we measure maximum differential group delays of approximately ±150 ps, which exceed previously reported measurements by at least three orders of magnitude.

show abstract

“…In Section III we derive a rather universal relation between the group velocity and the energy velocity of propagationinvariant transverse magnetic (TM) 2D and 3D superluminal fields. We start with the 2D case, i.e., with light sheets not only for reasons of simplicity and transparency but also having in mind that pulsed light sheets have also practical value, e.g., in microscopy, and are presently studied intensively [10,11,22,29,41]. Section IV deals with energy velocities of several known cylindrical scalar and vectorial superluminal fields.…”

Section: Introductionmentioning

confidence: 99%

Energy-flow velocities of nondiffracting localized waves

2019

View full text Add to dashboard Cite

A universal relation has been established between the local energy transport velocity along the direction of propagation and the group velocity of scalar and vector-valued propagation-invariant spatiotemporally localized superluminal and subluminal electromagnetic waves in free space. Under specific restrictions, this relationship is very closely valid for physically realizable almost propagationinvariant spatiotemporally confined subluminal and superluminal electromagnetic fields. In both cases, although the group velocity may be either superluminal or subluminal, the universal relation is in accord with the well-established result that the upper limit of the energy transport velocity is c, the speed of light in vacuum.

show abstract

Self-healing of space-time light sheets

Cited by 58 publications

References 26 publications

Meters-long propagation of diffraction-free space-time light-sheets

Meters-long propagation of diffraction-free space-time light-sheets

What is the maximum differential group delay achievable by a space-time wave packet in free space?

Energy-flow velocities of nondiffracting localized waves

Contact Info

Product

Resources

About