Abstract

Using the Rytov method, bit error rate (BER) performances of M-pulse amplitude modulation (M-PAM) are investigated for a flat-topped beam when such a beam is employed in an aeronautical laser communication system operating in vertical paths having weak atmospheric turbulence. By using the on-axis scintillation index and the log-normal distributed intensity, the average BER ($⟨\mathrm{BER}⟩$) is evaluated for M-PAM when $M=2,4,8$. The scintillation indices of collimated flat-topped beams of various flatness orders $N$ are compared against propagation lengths, source sizes, and zenith angle for laser communication vertical paths, including uplink and downlink. Also, the $⟨\mathrm{BER}⟩$ versus the average signal to noise ratio ($⟨\mathrm{SNR}⟩$) is examined for various beam flatness orders. It is shown that as the flatness order increases, the scintillation index decreases. Taking one of the best flatness order values, $N=15$, for reducing the scintillations, $⟨\mathrm{BER}⟩$ versus propagation lengths, source sizes, zenith angle, and $⟨\mathrm{SNR}⟩$ are found for various values of $M$. When $M$ is increased, the $⟨\mathrm{BER}⟩$ is found to deteriorate.

© 2018 Optical Society of America

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