# White-light hyperbolic Airy beams

@article{Valdmann2018WhitelightHA, title={White-light hyperbolic Airy beams}, author={Andreas Valdmann and Peeter Piksarv and Heli Valtna-Lukner and Peeter Saari}, journal={Journal of Optics}, year={2018}, volume={20} }

Airy beams have gained attention due to their exotic properties of seemingly bending around obstacles, self-healing and being resistant to diffraction. Regular Airy beams are often generated by imposing cubic spatial phase on a Gaussian beam and Fourier transforming the resulting field with a lens. In this paper, we analyze the so-called hyperbolic Airy (HA) beams that are formed behind the cubic phase element, i.e. with no Fourier lens in the setup. We use an ultra-broadband supercontinuum…

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## References

SHOWING 1-10 OF 17 REFERENCES

### Arbitrary accelerating micron-scale caustic beams in two and three dimensions.

- PhysicsOptics express
- 2011

By applying additional and rotational spatial phase, caustic-bounded sheet and volume beams are generated, which both show evidence of the recently predicted effect of abrupt autofocussing and proof of principle demonstration of how this technique may yield new degrees of freedom in both nonlinear optics and femtosecond micromachining.

### Wave analysis of airy beams

- Physics2010 URSI International Symposium on Electromagnetic Theory
- 2010

The asymptotically exact analysis utilizes the method of uniform geometrical optics (UGO), and it is shown that the beam along the curved propagation trajectory is not generated by contributions from the main lobe in the aperture, i.e., it is not described by a local wave-dynamics along this trajectory.

### Airy Pulsed Beams

- Physics2010 IEEE 26-th Convention of Electrical and Electronics Engineers in Israel
- 2010

This paper derives ultra wideband (UWB) Airy Pulsed Beams (AiPB's), which are the extension of the AiB's into the time domain and introduces a frequency scaling of the initial aperture field that renders the ray skeleton of the field, including the caustic, frequency independent, thus ensuring that all the frequency components propagate along the same curved trajectory.

### Temporal focusing of ultrashort pulsed Bessel beams into Airy–Bessel light bullets

- Physics
- 2012

We present measurements of the impulse response of a circular phase diffraction grating in dependence of the field point location behind it. These measurements were carried out using a white-light…

### Realization of laterally nondispersing ultrabroadband Airy pulses.

- PhysicsOptics letters
- 2014

We present the measurements of the spatiotemporal impulse response of a system creating nondispersing Airy pulses, i.e., ultrabroadband Airy beams whose main lobe size remains constant over…

### Spatiotemporal airy light bullets in the linear and nonlinear regimes.

- PhysicsPhysical review letters
- 2010

It is shown that the Airy(3) light bullets are robust up to the high intensity regime, since they are capable of healing the nonlinearly induced distortions of their spatiotemporal profile.

### Non-diffracting beams for label-free imaging through turbid media.

- PhysicsOptics letters
- 2018

This work uses computer-generated holograms to create Airy beams and compares quantitatively the characteristics of their propagation in clear and turbid media to demonstrate experimentally the ability to image a chromium surface on a glass slide through highly scattering milk/water mixtures with a resolution of several microns.

### Diffraction of ultrashort Gaussian pulses within the framework of boundary diffraction wave theory

- Physics
- 2011

We study the diffraction of Gaussian pulses and beams within the framework of boundary diffraction wave theory. For the first time the boundary diffraction wave theory is applied to pulsed Gaussian…

### Integrated single- and two-photon light sheet microscopy using accelerating beams

- PhysicsScientific Reports
- 2017

This work demonstrates the first light sheet microscope using propagation invariant, accelerating Airy beams that operates both in single- and two-photon modes, and opens up new possibilities across a wide range of biomedical applications, especially for the study of neuronal processes.