  Non-orthogonal multiple access (NOMA) in the power-domain has been recognized
as a promising technique to overcome the bandwidth limitations of current
visible light communication (VLC) systems. In this letter, we investigate the
power allocation (PA) problem in an NOMA-VLC system under high
signal-to-noise-ratio (SNR) regime. A simple fair power allocation strategy
(SFPA) is proposed to ensure equitable allocation of transmission resources in
a multi-user scenario. SFPA requires minimal channel state information (CSI),
making it less prone to channel estimation errors. Results show that NOMA with
SFPA provides fairer and higher achievable rates per user (up to 79.5\% higher
in the studied setup), without significantly compromising the overall system
performance.
