In a multimode fiber (step index), number of modes passing at an operating wavelength of 1300 nm are 1000, the refractive index of the core is 1.50 and that of the cladding is 1.48. The value of core diameter is:

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UGC NET Paper 2: Electronic Science 3rd Dec 2021 Shift 2
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  1. 100 nm
  2. 2.5 µm
  3. 75.8 µm
  4. 6.25 µm

Answer (Detailed Solution Below)

Option 3 : 75.8 µm
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
50 Qs. 100 Marks 60 Mins

Detailed Solution

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Concept:

The number of modes propagating in a step-index fiber can be estimated as:

Where V is the mode volume given as

Where d is the fiber core diameter and λ is the wavelength of the optical source, n1 is the refractive index of core and n2 is the refractive index of the cladding.

Calculation:

N = 1000

V = √2000 

d = (44.7 × 1300)/3.14 × 0.244

= 75.8 μm

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