Spacetime wave packets

Short description: Form of spatially correllated light with unusual optical properties

A Spacetime wave packet is a spatial-temporal light structure with a one-to-one correlation between spatial and temporal frequencies.[1] In particular, their group velocity in free space can be controlled arbitrarily from sub-luminal to super-luminal speeds without needing to control the dispersion of the medium it is propagating within.[2] Their behavior under refraction does not follow the normal expectations given by Snell's law.[3] Monochromatic Gaussian beam is shown to be transformed into spacetime wave packets under Lorentz transformation, thus any monochromatic Gaussian beam observed in a reference frame moving at relativistic velocity appears as spacetime wave packets.[4][5]

## References

1. ↑ Kondakci, H. Esat; Abouraddy, Ayman F. (November 2017). "Diffraction-free space–time light sheets" (in en). Nature Photonics 11 (11): 733–740. doi:10.1038/s41566-017-0028-9. ISSN 1749-4893. Bibcode: 2017NaPho..11..733K. https://www.nature.com/articles/s41566-017-0028-9.
2. ↑ Kondakci, H. Esat; Abouraddy, Ayman F. (2019-02-25). "Optical space-time wave packets having arbitrary group velocities in free space" (in en). Nature Communications 10 (1): 929. doi:10.1038/s41467-019-08735-8. ISSN 2041-1723. PMID 30804333. Bibcode: 2019NatCo..10..929K.
3. ↑ Bhaduri, Basanta; Yessenov, Murat; Abouraddy, Ayman F. (July 2020). "Anomalous refraction of optical spacetime wave packets" (in en). Nature Photonics 14 (7): 416–421. doi:10.1038/s41566-020-0645-6. ISSN 1749-4893. Bibcode: 2020NaPho..14..416B. https://www.nature.com/articles/s41566-020-0645-6.
4. ↑ Bélanger, P. A. (1986-04-01). "Lorentz transformation of packetlike solutions of the homogeneous-wave equation" (in EN). JOSA A 3 (4): 541–542. doi:10.1364/JOSAA.3.000541. ISSN 1520-8532. Bibcode: 1986JOSAA...3..541B. https://www.osapublishing.org/josaa/abstract.cfm?uri=josaa-3-4-541.
5. ↑ Kondakci, H. Esat; Abouraddy, Ayman F. (2018-04-16). "Airy Wave Packets Accelerating in Space-Time". Physical Review Letters 120 (16): 163901. doi:10.1103/PhysRevLett.120.163901. PMID 29756946. Bibcode: 2018PhRvL.120p3901K.

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