# Analytic description of Airy-type beams when truncated by finite apertures.

@article{ZamboniRached2012AnalyticDO, title={Analytic description of Airy-type beams when truncated by finite apertures.}, author={Michel Zamboni-Rached and K. Z. Nobrega and C{\'e}sar Augusto Dartora}, journal={Optics express}, year={2012}, volume={20 18}, pages={ 19972-7 } }

In this paper, we have developed an analytic method for describing Airy-type beams truncated by finite apertures. This new approach is based on suitable superposition of exponentially decaying Airy beams. Regarding both theoretical and numerical aspects, the results here shown are interesting because they have been quickly evaluated through a simple analytic solution, whose propagation characteristics agree with those already published in literature through the use of numerical methods. To…

## 18 Citations

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## References

SHOWING 1-10 OF 12 REFERENCES

### Propagation of Airy-related beams.

- PhysicsOptics express
- 2010

Two new types of finite energy Airy beams are proposed, namely, beams that are obtained as blocked and exponentially attenuated versions of Airy functions Ai and Bi, and beams of finite width but having theAiry functions typical phase.

### 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.

### A note on an accelerating finite energy Airy beam.

- PhysicsOptics letters
- 2007

It is shown, specifically, that the interpretation of this beam as accelerating, i.e., one characterized by a nonlinear lateral shift, depends significantly on the parameter a entering into the solution.

### Nonparaxial wave analysis of three-dimensional Airy beams.

- PhysicsJournal of the Optical Society of America. A, Optics, image science, and vision
- 2012

The exact spectral integral is utilized for the AiB to derive local ray-based solutions that do not suffer from the limitations of the conventional parabolic equation (PE) solution and are valid far beyond the paraxial zone and for longer ranges.

### Airy Beam Excitation Using a Subwavelength Metallic Slit Array

- PhysicsIEEE Photonics Technology Letters
- 2012

A novel method for launching an Airy wave packet based on a metallic slit array with stepped-height is proposed. By appropriately adjusting the amplitude and phase of the transmittance from the…

### Observation of accelerating Airy beams.

- PhysicsPhysical review letters
- 2007

This work reports the first observation of Airy optical beams, a class of wave packets that can exhibit unusual features such as the ability to remain diffraction-free over long distances while they tend to freely accelerate during propagation.

### Sending femtosecond pulses in circles: highly nonparaxial accelerating beams.

- PhysicsOptics letters
- 2012

Using diffraction integral theory and numerical beam propagation simulations, it is shown that circular acceleration trajectories represent a unique class of nonparaxial diffraction-free beam profile which also preserves the femtosecond temporal structure in the vicinity of the caustic.

### Self-healing properties of optical Airy beams.

- PhysicsOptics express
- 2008

We investigate both theoretically and experimentally the self-healing properties of accelerating Airy beams. We show that this class of waves tends to reform during propagation in spite of the…

### Self-accelerating self-trapped optical beams.

- PhysicsPhysical review letters
- 2011

We present self-accelerating self-trapped beams in nonlinear optical media, exhibiting self-focusing and self-defocusing Kerr and saturable nonlinearities, as well as a quadratic response. In Kerr…