9.2-4 Propagation Constants and Wavevector (Step-Index Fiber). A step-index fiber of radius a = 20 um and refractive indexes n, = 1.47 and n2 = 1.46 operates at d, = 1.55 um. Using the quasi-plane wave theory and considering only guided modes with azimuthal index 1 = 1: (a) Determine the smallest and largest propagation constants. (b) For the mode with the smallest propagation constant, determine the radii of the cylindri- cal shell within which the wave is confined, and the components of the wavevector k at T = 5 pm.
9.2-4 Propagation Constants and Wavevector (Step-Index Fiber). A step-index fiber of radius a = 20 um and refractive indexes n, = 1.47 and n2 = 1.46 operates at d, = 1.55 um. Using the quasi-plane wave theory and considering only guided modes with azimuthal index 1 = 1: (a) Determine the smallest and largest propagation constants. (b) For the mode with the smallest propagation constant, determine the radii of the cylindri- cal shell within which the wave is confined, and the components of the wavevector k at T = 5 pm.
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Transcribed Image Text:9.2-4 Propagation Constants and Wavevector (Step-Index Fiber). A step-index fiber of radius
a = 20 um and refractive indexes n = 1.47 and n2 = 1.46 operates at d, = 1.55 um.
Using the quasi-plane wave theory and considering only guided modes with azimuthal index
1 = 1:
(a) Determine the smallest and largest propagation constants.
(b) For the mode with the smallest propagation constant, determine the radii of the cylindri-
cal shell within which the wave is confined, and the components of the wavevector k at
r = 5 um.
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