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11. A step-index fiber of radius a = 20 µm and refractive indices n1 = 1.47 and %3D n2 = 1.46 operates at 1o = 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 cylindrical shell within which the wave is confined, and the components of the wavevectork at r= 5 um.

11. A step-index fiber of radius a = 20 µm and refractive indices n1 = 1.47 and %3D n2 = 1.46 operates at 1o = 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 cylindrical shell within which the wave is confined, and the components of the wavevectork at r= 5 um.

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A step-index fiber of radius a = 20 μm and refractive indices ?1 = 1.47 and
?2 = 1.46 operates at ?0 = 1.55 μm . Using the quasi-plane wave theory and
considering only guided modes with azimuthal index l = 1:
(a) Determine the smallest and largest propagation constants.
(b) For the mode with the smallest propagation constant, determine the radii of the cylindrical shell within which the wave is confined, and the components of the wavevector k at r = 5 μm.

11. A step-index fiber of radius a = 20 µm and refractive indices nį = 1.47 and n2 = 1.46 operates at do = 1.55 um. Using the quasi-plane wave theory and considering only guided modes with azimuthal index / = 1: (a) Determine the smallest and largest propagation constants. (b) For the mode with the smallest propagation constant, determine the radii of the cylindrical shell within which the wave is confined, and the components of the wavevector k atr= 5 µm.
Transcribed Image Text:11. A step-index fiber of radius a = 20 µm and refractive indices nį = 1.47 and n2 = 1.46 operates at do = 1.55 um. Using the quasi-plane wave theory and considering only guided modes with azimuthal index / = 1: (a) Determine the smallest and largest propagation constants. (b) For the mode with the smallest propagation constant, determine the radii of the cylindrical shell within which the wave is confined, and the components of the wavevector k atr= 5 µm.
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