Recent theoretical and experimental achievements
using ST wave packets

Synthesis of ST wave packets with arbitrary spatial profile and spectral tilt angle: Nat. Photon. 11, 733 (2017).

Broadband synthesis with refractive phase plates: Opt. Express 26, 13628 (2018)

Observation of ‘time-diffraction’: Opt. Lett. 42, 4679 (2017); Phys. Rev. Lett. 120, 163901 (2018); Phys. Rev. A 97, 063803 (2018)

Arbitrary group velocities in free space: Optica 4, 1298 (2017); Nat. Photon. 12, 262 (2018); Nat. Commun. 10, 929 (2019)

Incoherent broadband diffraction-free ST fields: Optica, under review

Extended propagation distances: Opt. Express 26, 20111 (2018)

Self-healing after traversing opaque obstructions: Opt. Lett. 43, 3830 (2018)

Propagation in optical materials at c: Optica 6, 139 (2019)

Classification of ST wave packets: Phys. Rev. A, 99, 023856 (2019)

Realization of tilted-pulse-front ST wave packets: ACS Photon. 4, 2257 (2017); ACS Photon. 6, 475 (2019)

Elucidating the role of classical entanglement and identifying the propagation limits: arxiv:1812.10566; arxiv:1901.00538

Law of refraction for ST wave packets: In preparation

References and resources

Focus-wave modes

J.N. Brittingham. “Focus wave modes in homogeneous Maxwell’s equations: transverse electric mode,” J. Appl. Phys. 54, 1179 (1983).

A. Sezginer. “A general formulation of focus wave modes,” J. Appl. Phys. 57, 678 (1985).

R.W. Ziolkowski. “Exact solutions of the wave equation with complex source locations,” J. Math. Phys. 26, 861 (1985).

R.W. Ziolkowski et al. “Aperture realizations of exact solutions to homogeneous-wave equations,” J. Opt. Soc. Am. A 10, 75 (1993).

K. Reivelt and P. Saari. “Optical generation of focus wave modes,” J. Opt. Soc. Am. A 17, 1785 (2000).



P. Saari and K. Reivelt. “Evidence of X-shaped propagation invariant localized light waves,” Phys. Rev. Lett. 79, 4135 (1997).

C. Conti et al. “Nonlinear electromagnetic X waves,” Phys. Rev. Lett. 90, 170406 (2003).

P. Di Trapani et al. “Spontaneously generated X-shaped light bullets,” Phys. Rev. Lett. 91, 093904 (2003).

M.A. Porras et al. “Unified description of Bessel X waves with cone dispersion and tilted pulses,” Phys. Rev. E 68, 016613 (2003).

C.J. Zapata-Rodríguez and M.A. Porras. “X-wave bullets with negative group velocity in vacuum,” Opt. Lett. 31, 3532–3534 (2006).

D. Faccio et al. “Spatio-temporal reshaping and X wave dynamics in optical filaments,” Opt. Express 15, 13077 (2007).

F. Bonaretti et al. “Spatiotemporal amplitude and phase retrieval of Bessel-X pulses using a Hartmann-Shack sensor,” Opt. Express 17, 9804 (2009).

M. Dallaire et al. “Spatiotemporal bessel beams: theory and experiments,” Opt. Express 17, 18148 (2009).

O. Jedrkiewicz et al. “One dimensional spatial localization of polychromatic stationary wave-packets in normally dispersive media,” Opt. Express 21, 25000 (2013).


Time diffraction

P.A. Bélanger. “Lorentz transformation of packetlike solutions of the homogeneous-wave equation,” J. Opt. Soc. Am. A 3, 541 (1986).

P. Saari and K. Reivelt. “Generation and classification of localized waves by Lorentz transformations in Fourier space,” Phys. Rev. E 69, 036612 (2004).

S. Longhi. “Gaussian pulsed beams with arbitrary speed,” Opt. Express 12, 935 (2004).

M.A. Porras. “Gaussian beams diffracting in time,” Opt. Lett. 42, 4679 (2017).

M.A. Porras. “Nature, diffraction-free propagation via space-time correlations, and nonlinear generation of time-diffracting light beams,” Phys. Rev. A 97, 063803 (2018).



H.E. Hernández-Figueroa et al., eds. Localized waves (Wiley-Interscience, 2008).

J. Turunen and A.T. Friberg. “Propagation-invariant optical fields,” Prog. Opt. 54, 1 (2010).

H. E. Hernández-Figueroa et al., eds. Non-diffracting Waves (Wiley-VCH, 2014).


Recent work

H.E. Kondakci and A.F. Abouraddy. “Diffraction-free space-time beams,” Nat. Photon. 11, 733 (2017).

K.J. Parker and M.A. Alonso. “The longitudinal iso-phase condition and needle pulses,” Opt. Express 24, 28669 (2016).

L.J. Wong and I. Kaminer. “Abruptly focusing and defocusing needles of light and closed-form electromagnetic wavepackets,” ACS Photon. 4, 1131 (2017).

L.J. Wong and I. Kaminer. “Ultrashort tilted-pulse-front pulses and nonparaxial tilted-phase-front beams,” ACS Photon. 4, 2257 (2017).

A. Sainte-Marie et al. “Controlling the velocity of ultrashort light pulses in vacuum through spatio-temporal couplings,” Optica 4, 1298 (2017).

D.H. Froula et al. “Spatiotemporal control of laser intensity,” Nat. Photon. 12, 262 (2018).