Wave representation for asymmetric elliptic vortex beams generated from the astigmatic mode converter

Chen, Yung-Fu; Lai, Yu‐Hung; Hsieh, M. X.; Hsieh, Y. H.; Tu, Chin-Wei; Liang, H. C.; Huang, Kai–Feng

doi:10.1364/ol.44.002028

Cited by 14 publications

(13 citation statements)

References 26 publications

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“…By employing a liquid gain material, the HG 0 n laser mode will emit from the microcavity when pumped above the lasing threshold. Subsequently, an optical vortex with the topological charge of l = ± n can be obtained using a single-cylindrical-lens mode converter composed of a focusing lens and a cylindrical lens (Figure a) . The sign of the topological charge l represents the handedness of an optical vortex (“+” for “right-handed” and “–” for “left-handed”), which is controlled by the orientation of the cylindrical lens.…”

Section: Resultsmentioning

confidence: 99%

“…Subsequently, an optical vortex with the topological charge of l = ±n can be obtained using a singlecylindrical-lens mode converter composed of a focusing lens and a cylindrical lens (Figure 1a). 34 The sign of the topological charge l represents the handedness of an optical vortex ("+" for "right-handed" and "−" for "left-handed"), which is controlled by the orientation of the cylindrical lens. Details on the mode conversion are described in Supporting Information Figure S1.…”

Section: ■ Resultsmentioning

confidence: 99%

“…However, when limited by the panel resolution, it is often challenging to manipulate the properties of optical vortices at the micrometer scale to obtain high-charge vortices with high purities. Some studies have also utilized spiral nanostructures to achieve optical vortices from microcavities, which give control over the phase and degree of helicity of the emitted beam. , An alternative strategy is to create optical vortices by exploiting high-order transverse modes from laser emissions. ,− The vortex modes emitted directly from lasers or converted from Hermite–Gaussian (HG) modes possess the advantages of high purities and stabilities. , In this frame, tunable topological charges can be achieved by selecting the oscillations of transverse modes with specific orders. Despite the remarkable progress made in vortex microlasers, two major challenges remain to date.…”

Section: Introductionmentioning

confidence: 99%

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Tunable Optical Vortex from a Nanogroove-Structured Optofluidic Microlaser

et al. 2021

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Optical vortices with tunable properties in multiple dimensions are highly desirable in modern photonics, particularly for broadly tunable wavelengths and topological charges at the micrometer scale. Compared to solid-state approaches, here we demonstrate tunable optical vortices through the fusion of optofluidics and vortex beams in which the handedness, topological charges, and lasing wavelengths could be fully adjusted and dynamically controlled. Nanogroove structures inscribed in Fabry–Pérot optofluidic microcavities were proposed to generate optical vortices by converting Hermite–Gaussian laser modes. Topological charges could be controlled by tuning the lengths of the nanogroove structures. Vortex laser beams spanning a wide spectral band (430–630 nm) were achieved by alternating different liquid gain materials. Finally, dynamic switching of vortex laser wavelengths in real-time was realized through an optofluidic vortex microlaser device. The findings provide a robust yet flexible approach for generating on-chip vortex sources with multiple dimensions, high tunability, and reconfigurability.

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Section: Resultsmentioning

confidence: 99%

Section: ■ Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Tunable Optical Vortex from a Nanogroove-Structured Optofluidic Microlaser

et al. 2021

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“…The loss factor on the sth ray in Equation ( 51) can be given by exp(−γθ s ) with γ = T oc /2π. Taking the damping effect into account, the Gaussian wave-packet representation for Lissajous geometric modes can be expressed as [38,53]…”

Section: Damping Effectmentioning

confidence: 99%

“…Analogous to mesoscopic quantum phenomena, the emergence of geometric modes has been evidenced to be related to the degeneracies of eigenfrequencies in spherical cavities [31][32][33][34]. Laser geometric modes have been paid much attention because of various applications including ray-wave connection, light-matter interaction, optical communication, optical microscopy, and material processing [13,14,17,[35][36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Laser Transverse Modes with Ray-Wave Duality: A Review

et al. 2021

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We present a systematic overview on laser transverse modes with ray-wave duality. We start from the spectrum of eigenfrequencies in ideal spherical cavities to display the critical role of degeneracy for unifying the Hermite–Gaussian eigenmodes and planar geometric modes. We subsequently review the wave representation for the elliptical modes that generally carry the orbital angular momentum. Next, we manifest the fine structures of eigenfrequencies in a spherical cavity with astigmatism to derive the wave-packet representation for Lissajous geometric modes. Finally, the damping effect on the formation of transverse modes is generally reviewed. The present overview is believed to provide important insights into the ray-wave correspondence in mesoscopic optics and laser physics.

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Primary aberrations in tightly focused polarized anomalous vortex beams

Xu¹,

Qin²,

Ji³

et al. 2022

Laser Phys.

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Based on the Richards Wolf vector diffraction theory, the intensity profiles of the radially and azimuthally polarized anomalous vortex beams focused by a high numerical aperture (NA) lens in the presence of primary aberration are obtained. The effects of the primary aberration coefficient on the intensity distribution, longitudinal field and the quality of the aberrated focused field through calculating the Strehl ratio under various polarized input beams are analyzed. The results show that spherical aberration destroys the rotational symmetry of the focused intensity about the optical axis. Coma will shift the focal spot which gradually presents an obvious comet shape. Astigmatism will elongate the focal spot. Meanwhile, defocus technology on compensating aberrations is studied. The results have potential applications in the design and assembly of high NA systems or overcoming aberrations in the future.

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Wave representation for asymmetric elliptic vortex beams generated from the astigmatic mode converter

Cited by 14 publications

References 26 publications

Tunable Optical Vortex from a Nanogroove-Structured Optofluidic Microlaser

Tunable Optical Vortex from a Nanogroove-Structured Optofluidic Microlaser

Laser Transverse Modes with Ray-Wave Duality: A Review

Primary aberrations in tightly focused polarized anomalous vortex beams

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