Bayvel was born into a Jewish family,[6] and grew up in Kharkiv and Leningrad (now St. Petersburg) until 1978.[7] Her father is the physicist Leopold P. Bayvel, her mother Raisa (Rachel) was a textile/pattern technologist/garment engineer and later published studies in Eastern-European Jewish history.[8]
Bayvel's research has focused on maximising the speed and capacity of optical fibre communication systems, and the fundamental studies of capacity-limiting optical nonlinearities and their mitigation.[4][11][12][13] She has made major contributions to the investigation and design of high-bandwidth, multi-wavelength optical communication networks.[14]
She was one of the first to show the feasibility of using the wavelength domain for routing in optical networks over a range of distance- and time-scales. She has established the applicability of these new optical network architecture concepts, which have been widely implemented in commercial systems and networks. These systems and networks underpin the Internet, and the digital communications infrastructure – and are essential for its growth.[4] A new project, the Initiate project, aims to test technologies that will make internet connections faster and more secure, which Polina Bayvel indicated will allow them to test them at a national scale.[15] Her research has been funded by the Engineering and Physical Sciences Research Council (EPSRC).[16]
In 2019, Bayvel was elected to the Board of Directors of The Optical Society, serving a three year term 2020-2022.[21]
In 2023, Bayvel was awarded the Royal SocietyRumford Medal for pioneering contributions to the fundamental physics and nonlinear optics, enabling the realization of high capacity, broad bandwidth, multi-wavelength, optical communication systems that have underpinned the information technology revolution. She is the first woman to be awarded this medal since the medal was instituted in 1800. [22]