Related Experiment Video
Updated: May 13, 2026

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The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
Published on: August 12, 2013
Performance analysis of the Cassegrain telescope on the QKD with Mathieu-Gauss Beams
S Oktay1, M Bayraktar2, F Vista1
1Interdisciplinary Centre for Security, Reliability and Trust, 29 Ave JF, L-1855, Kennedy, Luxembourg.
Scientific Reports
|May 11, 2026
Summary
Mathieu-Gauss beams show promise for quantum communication. Using a Cassegrain telescope significantly improves their performance in atmospheric turbulence, reducing errors and boosting secure key rates by up to 80%.
Area of Science:
- Optical physics
- Quantum information science
- Atmospheric optics
Background:
- Structured light beams like Mathieu-Gauss beams (MGBs) are crucial for advanced optical communication.
- Atmospheric turbulence significantly degrades beam quality, impacting free-space optical (FSO) and quantum communication systems.
- Optimizing transmitter design is key to mitigating turbulence effects.
Purpose of the Study:
- To analyze the scintillation of MGBs in weak atmospheric turbulence.
- To quantify the impact of scintillation on quantum bit error rate (QBER) and secret key rate (SKR) in quantum key distribution (QKD).
- To evaluate the effectiveness of Cassegrain-type transmitters in mitigating turbulence effects on MGBs.
Main Methods:
- Numerical simulations using a random phase screen method with a modified von Kármán spectrum.
- Analysis of even and odd MGB modes under various telescope configurations.
- Modeling QBER as a function of effective visibility derived from scintillation index.
Main Results:
- Cassegrain telescopes significantly suppress scintillation-induced degradation in MGBs.
- QBER is reduced, and SKR is enhanced by up to 80% compared to free-space propagation.
- Performance enhancement is mode-dependent, with specific MGB orders showing higher turbulence resilience.
Conclusions:
- Cassegrain transmitters substantially improve the robustness of MGBs against atmospheric turbulence.
- Optimizing beam structure and transmitter geometry is vital for efficient and reliable FSO-QKD systems.
- MGBs, when coupled with appropriate transmitter designs, offer a promising solution for secure free-space quantum communication.
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