Gradient-index optics refers to the study of optical systems where the refractive index of a medium varies gradually with position. This variation in refractive index allows for the manipulation of light paths in ways that can enhance focusing, minimize aberrations, and create innovative optical devices, such as lenses and optical fibers. By controlling how light bends as it passes through different regions of the material, gradient-index optics enables the development of more compact and efficient optical systems.