# Exercize1 - Practice Problems Optical Fiber Transmission...

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Practice Problems: Optical Fiber Transmission Problems 1.2, 1.3, 1.4, 1.6 and 1.7 of the text book Agrawal. Problems 2.1, 2.5 (cutoff wavelength part, ignore the spot size), 2.6, 2.10 (Ignore beta_3 part), 2.16. 1. Determine the V-number at 850 nm for a step index fiber having a 25 micron core radius. n 1 = 1.48, n 2 = 1.46. How many modes propagate in this fiber at (a) 850 nm and (b) at 1550 nm? (Ans: V-number = 44.81, (a)# of modes at 850 nm = 1004 (b) # of modes at 1550 nm = 301) ( Hint: When V >> 1, the total number of modes is given by 2 / V N 2 ) 2. A step-index multimode fiber with a numerical aperture of 0.2 supports approximately 1000 modes at an 850 nm wavelength. (a) What is the diameter of its core? (b) How many modes does the fiber support at 1550 nm? (Ans: (a)core diameter = 60.48 microns, (b) 300.53 3. A manufacturer wishes to make a silica-core step-index fiber with V=95 and a NA =0.3 to be used at 820 nm. If n 1 = 1.458, what should be the core size and cladding index be? (Ans: core radius = 41.32 microns, cladding index = 1.4268) 4. Design a step-index fiber with cutoff wavelength =1000 nm , NA = 0.2, and n 1 = 1.46. (a) Caclculate % and core radius. (b) Will this be single-moded at 820 nm? (c)To make this fiber

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