7. [538 Students only - 20 pts] There is an optical fiber with the following specification. Core diameter = 8 m, Core index = 1.5, Clad index = 1.495 The operation wavelength = 1.55 m. (a) Find the profile of the fundamental mode as a function of p. Write down the mode profiles in the core and cladding and explain how you obtained them. Core Profile Cladding Profile (b) Find the Gaussian approximation of the fundamental mode