Multimode fiber: A fiber having core radius large,supports hundreads of modes & lesser bandwidth also suitable for short distance communication is called Multi mode fiber.
Step index fiber: For an optical fiber, a step-index profile is a refractive index profile characterized by a uniform refractive index within the core and a sharp decrease in refractive index at the corecladding interface so that the cladding is of a lower refractive index
Graded-index fiber: The core refractive index is made to vary as a function of the radial distance from the center of the fiber is called Graded index fiber
Single mode fiber: A fiber having core radius small,supports one mode of operation & larger bandwidth also suitable for long distance communication is called single mode fiber.