A method is proposed for generating Bessel-like optical beams with arbitrary trajectories in free space. The method involves phase-modulating an optical wavefront so that conical bundles of rays are formed whose apexes write a continuous focal curve with pre-specified shape. These ray cones have circular bases on the input plane; thus their interference… (More)
We introduce a new classes of waves that tend to autofocus in an abrupt fashion. These waves can be generated through the use of radially symmetric Airy waves.
We propose a simple yet efficient method for generating abruptly autofocusing optical beams with arbitrary caustics. In addition, we introduce a family of abruptly autodefocusing beams whose maximum intensity suddenly decreases by orders of magnitude right after the target. The method relies on appropriately modulating the phase of a circularly symmetric… (More)
We demonstrate analytically and experimentally that a circular abruptly autofocusing (AAF) Airy beam can be generated by Fourier-transforming an appropriately apodized Bessel beam whose radial oscillations are chirped by a cubic phase term. Depending on the relation between the chirp rate and the focal distance of the Fourier-transforming lens, it is… (More)
For decades, singular beams carrying angular momentum have been a topic of considerable interest. Their intriguing applications are ubiquitous in a variety of fields, ranging from optical manipulation to photon entanglement, and from microscopy and coronagraphy to free-space communications, detection of rotating black holes, and even relativistic electrons… (More)
We theoretically show that it is possible to generate diffraction-resisting higher order Bessel beams with vortex profiles that follow arbitrary trajectories. Our theoretical results are supported by numerical simulations and agree well with experimental observations.
We introduce a new class of nonparaxial optical beams with a Bessel-like profile that are capable to laterally shift along fairly arbitrary trajectories during propagation in free space. Numerical simulations confirm our theoretical predictions.
—A completely analytical computation of the electromagnetic field produced by an optical fiber helix is presented for the first time. The analysis utilizes the transformation of radially traveling cylindrical waves between two skew cylindrical coordinates systems, that has been previously derived by the author, in order to express the waves radiated by each… (More)
The resonant properties of a photonic molecule, composed by N microring resonators forming a regular polygon, are for the first time determined analytically using the transfer matrix method. It is found that the transfer matrix between rings n, n + 2, n + 4 , ... is independent of the polygon vertex angle, allowing the application of Floquet theorem for… (More)