LP Modes in an Optical Fiber


OCSim Modules

Modern Fiber Optic Communication Systems Simulations with Advanced Level Matlab Modules

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Module 2a

 

Optical Fibers

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LP Modes in an Optical Fiber

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Main Module

fiber_modes.m

The LP modes of a step-index fiber are obtained by solving the eigenvalue equation Eq.(4) (see the manual). Eq. (4) is of the form f(\beta) = 0; the roots of this equation are found using the matlab function fminbnd().

 

Explore Further this Module:

In a step-index fiber, core index n_{{1}} = 1.45, cladding index n_{{2}} = 1.442, core radius a = 9 microns, wavelength = 1.55 microns.

2a.1. Plot the field vs radius for all the modes.

2a.2. Plot V vs b curves for LP01, LP11 and LP03 modes. Using this curve, find the cutoff wavelength for the single-mode operation of a fiber with n_{{1}} = 1.46 and Δ =0.005.

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Selected Simulated Results Using this Module


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Left Hand Side (LHS) and Right Hand Side (RHS) of Transcedental Eq. for l=0

 


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Fiber Mode: LP01

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Fiber Mode: LP02

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Fiber Mode: LP03

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 Left Hand Side (LHS) and Right Hand Side (RHS) of Transcedental Eq. for l=1

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Fiber Mode: LP11

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Fiber Mode: LP12

 


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Left Hand Side (LHS) and Right Hand Side (RHS) of Transcedental Eq. for l=2

 


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Fiber Mode: LP21

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Fiber Mode: LP22

 

 

 

 

 

 

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