Material dispersion calculation (optical fiber)

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SUMMARY

Material dispersion in optical fiber is calculated using the formula D = (-λ/c)×(d²n/dλ²), where λ represents the wavelength, c is the speed of light, and n is the refractive index. The discussion highlights the need to utilize a graph of λ²×(d²n/dλ²) against λ to derive dispersion values. Additionally, the refractive index of the fiber core, index difference, and core and cladding diameters are essential parameters that influence dispersion calculations. The user seeks to extend their project in MATLAB to include intermodal dispersion calculations, which relate to group delay.

PREREQUISITES
  • Understanding of optical fiber principles, including refractive index and dispersion.
  • Familiarity with MATLAB for programming dispersion calculations.
  • Knowledge of graph interpretation, specifically relating to λ²×(d²n/dλ²).
  • Concept of intermodal dispersion and its relation to group delay.
NEXT STEPS
  • Research the calculation methods for intermodal dispersion in optical fibers.
  • Explore MATLAB functions for numerical analysis and graphing dispersion data.
  • Study the impact of core and cladding diameters on modal dispersion.
  • Investigate the relationship between group delay and intermodal dispersion in fiber optics.
USEFUL FOR

Optical engineers, researchers in fiber optics, and students working on projects related to dispersion calculations in optical fibers.

johnchau123
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Material dispersion in optical fiber is defined as D = (-λ/c)×(d²n/dλ²)
λ is wavelength, c is speed of light and n is refractive index.

I was given a graph of λ²×(d²n/dλ²) against λ, refractive index of core of fiber, index difference and diameter of the core and cladding.

What I would like to ask is the stuff I have to find out is (-λ/c)×(d²n/dλ²) = (-1/cλ)× [λ²×(d²n/dλ²)]. Since I know λ²×(d²n/dλ²) from the graph and I know c and λ, then I could calculate the dispersion immediately.

Then, what is the use of the information provided, such as refractive index of core of fiber, index difference and diameter of the core and cladding??

Are they extra to this question or I skip something?

Thanks.

John
 
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hi, firstly thanks the information that you explained. I have a project about the dispersion in fiber optic. The project is a programme that calculate the modal dispersion for different types of fiber optic, in MATLAB. I searched in the internet but only I could find the calculation about intramodal dispersion (waveguide and material dispersion) I need to find the calculation of intermodal dispersion. I know it's about the group delay, too. but I can't how I can obtain the function for calculating or anything. Do you have any idea about this?
thanks
 

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