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An overview of optical fiber communication, focusing on different types of optical fibers based on the number of modes, refractive index, and materials used. It discusses step index fibers (single-mode and multimode) and graded index fibers, highlighting their advantages, disadvantages, and applications. The document also includes examples and mathematical expressions related to fiber parameters such as normalized frequency and mode volume. It is a lecture note useful for understanding the basics of optical fiber technology, including the propagation of light through different fiber types and their respective characteristics. Suitable for students and professionals in the field of telecommunications and optics.
Typology: Cheat Sheet
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Lecture 03
In optical fiber communication, a "mode" refers to a specific path or pattern that light can follow as it travels through the fiber. Based on the Number of Modes
Advantages of Step Index Fiber
Example 1 - A multimode step index fiber with a core diameter of 80 μm and a relative index difference of 1. 5 % is operating at a wavelength of 0. 85 μm. If the core refractive index is 1. 48 , estimate: (a) the normalized frequency for the fiber; (b) the number of guided modes. Ans: Normalized Frequency= 75.8 & guided mode= 2878 Example 2 - A graded index fiber has a core with a parabolic refractive index profile which has a diameter of 50 m. The fiber has a numerical aperture of 0.2. Estimate the total number of guided modes propagating in the fiber when it is operating at a wavelength of 1 m. Ans: Normalized Frequency= 31.4 & guided mode volume for parabolic profile= 247 Example3 - Estimate the maximum core diameter for an optical fiber with the same relative refractive index difference (1.5%) and core refractive index (1.48) as the fiber given in Example 1 in order that it may be suitable for single-mode operation. It may be assumed that the fiber is operating at the same wavelength (0.85 m). Further, estimate the new maximum core diameter for single-mode operation when the relative refractive index difference is reduced by a factor of 10. Ans:a= core diameter 2.6 m and 8 m for refractive index difference is reduced by a factor of 10
Let us have a look at the curve shown below that represents the variation in the profile of the refractive index with various values of α:
Graded-Index Multimode fiber The diameter of core in graded-index multimode fiber is somewhat between 50 to 100 micrometer. The large diameter of the core allows multiple rays to propagate through the fiber. The light wave that travels inside the fiber changes its behavior with time while travelling inside it. As we have already discussed that the refractive index of the core at the axis is comparatively larger than at the other part inside it. Thus when light is allowed is propagate inside the fiber, then it travels from less dense medium to more dense medium. However, we are aware of the fact that for TIR to take place the light must travel from denser to rarer medium. So, the light ray despite being reflected gets refracted inside the core. Hence, the light on travelling gets continuously refracted and bends. Thus in case of graded-index multimode fiber, the light rays do not propagate by following a straight line, rather they follow parabolic path due to non-uniformity in the refractive index of the core.
Advantages of Graded-Index Fiber