Generalized Bessel beams in modified axially symmetric graded index structures

Fathallah, Ashraf; Shalaby, Mohamed Y.

doi:10.1364/ao.50.003128

Cited by 2 publications

(1 citation statement)

References 5 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It has been demonstrated that the on-axis beam profile can be shaped to an arbitrary distribution, while the central lobe still maintains the invariant lateral profile within a limited region as in the case of the classical quasi-Bessel beam. However, as it does not necessarily maintain its side lobe profile invariant along the beam propagation, the newly generated beam falls into a category called the generalized Bessel beam, which exists both theoretically and experimentally [21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Shaping the on-axis intensity profile of generalized Bessel beams by iterative optimization methods

Li¹,

Yu²,

Peng³

et al. 2018

J. Opt.

View full text Add to dashboard Cite

The Bessel beam belongs to a typical class of non-diffractive optical fields that are characterized by their invariant transverse profiles with the beam propagation. The extended and uniformed intensity profile in the axial direction is of great interest in many applications. However, ideal Bessel beams only rigorously exist in theory; the Bessel beams generated in the experiment are always quasi-Bessel beams with finite focal extensions and varying intensity profiles along the propagation axis. The ability to shape the on-axis intensity profile to meet specific needs is essential for many applications. Here, we demonstrate an iterative optimization based approach to engineer the on-axis intensity of Bessel beams through design and fine-tune processes. Starting with a standard axicon phase mask, the design process uses the computed on-axis beam profile as a feedback in the iterative optimization process, which searches for the optimal radial phase distribution that can generate a so-called generalized Bessel beam with the desired on-axis intensity profile. The fine-tune process repeats the optimization processing by using the adjusted target on-axis profile according to the measured one. Our proposed method has been demonstrated in engineering several quasi-Bessel beams with customized on-axis profiles. The high accuracy and high energy throughput merit its use in many applications. This method is also suitable to engineer higher-order Bessel beams by adding appropriate vortex phases into the designed phase mask.

show abstract

Section: Introductionmentioning

confidence: 99%

Shaping the on-axis intensity profile of generalized Bessel beams by iterative optimization methods

Li¹,

Yu²,

Peng³

et al. 2018

J. Opt.

View full text Add to dashboard Cite

show abstract

Bessel beam propagation using radial beam propagation method at different propagation scales

Elsharkawi,

Tsai,

Lin

et al. 2024

Opt. Express

View full text Add to dashboard Cite

This paper is devoted to studying the Bessel beam propagation in cylindrical coordinates using the Hankel transform beam propagation method (HT-BPM) and their behavior in different scenarios in the microscale and meter scale of propagation distances. The study compares the results obtained from the HT-BPM with another fast Fourier transform beam propagation method (FFT-BPM) to validate the accuracy and effectiveness of the HT-BPM in modeling Bessel beam propagation. The axial intensity of Bessel beam propagation is analyzed using the HT-BPM. The simulation results obtained from the HT-BPM are compared with those from the FFT-BPM to evaluate the agreement and consistency between the two methods in predicting the axial intensity of Bessel beam propagation. The results show that the HT-BPM is numerically faster than the FFT-BPM by ten times for different sampling points, furthermore, the FFT-BPM accuracy for evaluating the Bessel beam spot radius is 89.9% of the analytical value, while the HT-BPM is 99% relative to analytical value. The prediction of the axial intensity of the Bessel beam has been tested at different types of phase functions and different propagation distances: micrometer, centimeter, and meter scales. The results of the HT-BPM are matched with the analytical and experimental values. Finally, the HT-BPM is tested when the input light source takes different profiles.

show abstract

Generalized Bessel beams in modified axially symmetric graded index structures

Cited by 2 publications

References 5 publications

Shaping the on-axis intensity profile of generalized Bessel beams by iterative optimization methods

Shaping the on-axis intensity profile of generalized Bessel beams by iterative optimization methods

Bessel beam propagation using radial beam propagation method at different propagation scales

Contact Info

Product

Resources

About