Fibonacci and fully degenerate conical diffraction cascades: Exploring the Poincaré sphere by path interference
Abstract
Tailoring light beams in terms of intensity, phase, and polarization distribution has recently garnered significant attention. This work considers vector beams obtained by the natural conical diffraction phenomenon, occurring when a focused light beam travels along one of the optic axes of a biaxial crystal. If a cascade of several aligned biaxial crystals is used, in its sharpest plane this phenomenon usually gives rise to a concentric ring pattern with spatially varying linear polarization, thus covering the equator of the Poincaré sphere. Here, we propose smart arrangements of conical diffraction cascades based on Fibonacci and degenerate sequences leading to vectorial beams addressing multiple areas of the Poincaré sphere. The present approach is based on the concept of path interference and enables a clear spatial separation between regions exhibiting distinct polarization states (linear, elliptical, circular).
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BibTeX
@article{iqbal2026fibonacci,
title = {{Fibonacci and fully degenerate conical diffraction cascades: Exploring the Poincaré sphere by path interference}},
author = {Muhammad Waqar Iqbal and Mayssoune Mina and Sali Mohammadou and Nicolas Marsal and Germano Montemezzani},
journal = {APS Open Science},
year = {2026},
month = aug,
doi = {10.1103/xj56-x619},
url = {https://hal.science/hal-05735637v1},
note = {CC BY 4.0},
}
RIS
TY - JOUR
TI - Fibonacci and fully degenerate conical diffraction cascades: Exploring the Poincaré sphere by path interference
AU - Muhammad Waqar Iqbal
AU - Mayssoune Mina
AU - Sali Mohammadou
AU - Nicolas Marsal
AU - Germano Montemezzani
PY - 2026
DA - 2026/08/27
JO - APS Open Science
DO - 10.1103/xj56-x619
UR - https://hal.science/hal-05735637v1
AB - Tailoring light beams in terms of intensity, phase, and polarization distribution has recently garnered significant attention. This work considers vector beams obtained by the natural conical diffraction phenomenon, occurring when a focused light beam travels along one of the optic axes of a biaxial crystal. If a cascade of several aligned biaxial crystals is used, in its sharpest plane this phenomenon usually gives rise to a concentric ring pattern with spatially varying linear polarization, thus covering the equator of the Poincaré sphere. Here, we propose smart arrangements of conical diffraction cascades based on Fibonacci and degenerate sequences leading to vectorial beams addressing multiple areas of the Poincaré sphere. The present approach is based on the concept of path interference and enables a clear spatial separation between regions exhibiting distinct polarization states (linear, elliptical, circular).
SN - 3070-2240
SN - 3070-2240
ER -