Gaussian beams diffracting in time

Abstract

We show how to transform the mathematical expression of any monochromatic paraxial light beam into the expression of a pulsed beam whose diffraction is switched from the axial direction to its temporal structure. We exemplify this transformation with time-diffracting Gaussian beams. The conditions for the obtained diffraction-free wave to be physically meaningful are discussed.

5 pages, 4 figures

References in corpus (4)

• Localized and stationary light wave modes in dispersive media
• Ultrashort Tilted-Pulse-Front Pulses and Nonparaxial Tilted-Phase-Front Beams
• Abruptly Focusing and Defocusing Needles of Light and Closed-Form Electromagnetic Wavepackets
• Modeling of Space-Time Focusing of Localized Nondiffracting Pulses

Cited by in corpus (32)

• Classification of propagation-invariant space-time wave packets in free space: Theory and experiments
• Airy wave packets accelerating in space-time
• Anomalous refraction of optical space-time wave packets
• Space-time wave packets localized in all dimensions
• What is the maximum differential group delay achievable by a space-time wave packet in free space?
• Self-healing of space-time light sheets
• Hybrid guided space-time optical modes in unpatterned films
• Broadband space-time wave packets propagating 70 m
• Free-space optical delay line using space-time wave packets
• Veiled Talbot effect
• Time-diffracting beams: On their nature, diffraction-free propagation as needles of light, and nonlinear generation
• Exact solutions for the electromagnetic fields of a flying focus
• Arbitrarily accelerating space-time wave packets
• Omni-resonant space-time wave packets
• V-Waves: Spatio-temporally induced group-velocity dispersion in free space
• Axial spectral encoding of space-time wave packets
• Temporal Talbot effect in free space
• Observation of ultrabroadband striped space-time surface plasmon polaritons
• Observation of optical de Broglie-Mackinnon wave packets
• Refraction of space-time wave packets: I. Theoretical principles
• The consequences of non-differentiable angular dispersion in optics: Tilted pulse fronts versus space-time wave packets
• Isochronous space-time wave packets
• Non-differentiable angular dispersion as an optical resource
• Relativistic transformations of quasi-monochromatic optical beams
• Ultra-compact synthesis of space-time wave packets
• Refraction of space-time wave packets in a dispersive medium
• A concise and universal method for deriving arbitrary paraxial and non-paraxial cylindrical Gaussian-type light modes
• Spectrally recycling space-time wave packets
• Theory of space-time supermodes in planar multimode waveguides
• Exciting space-time surface plasmon polaritons by irradiating a nanoslit structure
• Realizing normal group-velocity dispersion in free space via angular dispersion
• Self-trapped pulsed beams with finite power in pure cubic Kerr media excited by time-diffracting, space-time beams