| Summary: | We propose and design a hollow As<sub>2</sub>S<sub>3</sub> ring-core photonic crystal fiber (PCF) with 514 radially fundamental orbital angular momentum (OAM) modes over 360 nm communications bandwidth across all the O, E, S, C, and L bands. The designed PCF with 40 <inline-formula> <tex-math notation="LaTeX">$\mu \text{m}$ </tex-math></inline-formula>-radius air core and 150 nm-width As<sub>2</sub>S<sub>3</sub> ring can support eigenmodes up to HE<sub>130,1</sub> and EH<sub>128,1</sub>. The numerical analysis shows that the designed ring PCF has large effective refractive index contrast, and can transmit up to 874 OAM modes near 1.55 <inline-formula> <tex-math notation="LaTeX">$\mu \text{m}$ </tex-math></inline-formula>. Simulation results show that in the C and L bands, the PCF with a hollow-core radius of 40 <inline-formula> <tex-math notation="LaTeX">$\mu \text{m}$ </tex-math></inline-formula> and a ring width of 0.15 <inline-formula> <tex-math notation="LaTeX">$\mu \text{m}$ </tex-math></inline-formula> can retain an <inline-formula> <tex-math notation="LaTeX">$2.5\times 10 ^{-3}$ </tex-math></inline-formula> effective refractive index difference between the two highest order OAM modes, which achieves effective mode separation, thereby achieving stable OAM mode transmission. The <inline-formula> <tex-math notation="LaTeX">$n_{eff}$ </tex-math></inline-formula> difference between the even and odd fiber eigenmodes and the intra-mode walk-off are also carefully studied under different bending radii. The results show that higher-order OAM modes has better tolerance to the fiber bending, compared with the lower-order modes. The fiber has the potential to support ultra-high capacity OAM mode division multiplexing in the optical fiber communication systems.
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