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hw4 - EE466 Optical Engineering Homework#4 1(Book problem...

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EE466 Optical Engineering Homework #4 1. (Book problem 9.2-1) A step-index fiber has radius a=5 μ m, core refractive index n 1 =1.45, and fractional refractive-index change Δ =0.002. Determine the shortest wavelength λ c , for which the fiber is a single–mode waveguide. If the wavelength is changed to λ c /2. Identify the indexes (l,m) of all the guided modes. 2. (Book problem 9.3-3) At λ o =820 nm the absorption loss of a fiber is 0.25 dB/km and the scattering loss is 2.25 dB/km. If the fiber is used instead at λ o =600 nm, and the calorimetric measurements of the heat generated by light absorption give a loss of 2 dB/km, estimate the total attenuation at λ o = 600nm. 3. (Book problem 9.3-4) Determine the core radius of a multimode step-index fiber with a numerical aperture NA=0.1 if the number of modes M=5000 when the wavelength is 0.87 mm. If the core refractive index n 1 =1.445, the group index N 1 =1.456, and Δ is approximately independent of wavelength, determine the modal-dispersion response time σ τ for a 2 km long fiber.

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hw4 - EE466 Optical Engineering Homework#4 1(Book problem...

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