Propagation Constants and Wavevector (Step-Index Fiber). A step-index fiber of radiusa = 20 µm and refractive indices nį = 1.47 and nz = 1.46 operates at A, = 1.55 µm.Using the quasi-plane wave theory and considering only guided modes with l = 1:Ca) determine the smallest and largest propagation constants;(b) for the mode with the smallest propagation constant, determine the radii of the cylin-drical shell within which the wave is confined, and determine the components of thewavevector k at r = 5 µm.

Given, a=20μm n1=1.47 n2=1.46 λ0=1.55μm l=1

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