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Intermodal Dispersion

Definition: the phenomenon that the group velocity of light propagating in a waveguide structure depends on the waveguide mode

Alternative term: modal dispersion

More general term: dispersion

German: intermodale Dispersion

Category: fiber optics and waveguidesfiber optics and waveguides

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Cite the article using its DOI: https://doi.org/10.61835/rl5

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Intermodal dispersion (also called modal dispersion) is the phenomenon that the group velocity of light propagating in a multimode fiber (or other waveguide) depends not only on the optical frequency (→ chromatic dispersion) but also on the propagation mode involved.

Figure 1 shows a numerical simulation, where a 200-fs ultrashort pulse is launched into a 50 cm long multimode fiber such that multiple modes are excited. After the fiber, the corresponding contributions appear at different times due to different group velocities of the modes. The fundamental mode comes first, as it is the fastest.

intermodal dispersion
Figure 1: Output power versus time for a 200-fs input pulse injected into a 50 cm long multimode fiber.

The numerical simulation has been done with the RP Fiber Power software.

intermodal dispersion
Figure 2: Time-dependent output beam profile for the same situation as in Figure 1.

The strength of intermodal dispersion can be quantified as the differential mode delay (DMD). It depends strongly on the refractive index profile of the fiber in and around the fiber core. For example, for a step-index profile the higher-order modes have lower group velocities, and this can lead to differential group delays of the order of 10 ps/m = 10 ns/km. It is then hardly possible to realize data rates of multiple Gbit/s in an fiber-optic link with a kilometer length.

In systems for optical fiber communications based on multimode fibers, intermodal dispersion can severely limit the achievable data transmission rate (bit rate). In order to avoid strong signal distortion, it is usually necessary to keep the pulses long enough to maintain a reasonable temporal overlap of components from different modes, and this unavoidably sets a limit on the data rate.

case study parabolic index fiber

Case Studies

Case Study: Telecom Fiber With Parabolic Index Profile

We investigate how intermodal dispersion of a multimode fiber can be minimized with a parabolic doping profile.

The natural way of eliminating intermodal dispersion is to use fiber links based on single-mode fibers: if there is only one propagation mode available (disregarding possible polarization mode dispersion and cladding modes), there cannot be difference between propagation times. However, intermodal dispersion can also be minimized by using multimode fibers with a parabolic refractive index profile, where intermodal dispersion is minimized.

More to Learn

Case studies:

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Bibliography

[1]R. Paschotta, tutorial on "Passive Fiber Optics", Part 10: Nonlinearities of Fibers and Part 12: Ultrashort Pulses

(Suggest additional literature!)

Questions and Comments from Users

2021-12-15

How do you calculate the intermodal dispersion for a given multimode fiber? Is there any relation with the fiber parameters?

The author's answer:

Basically, it is the range of inverse group velocities of the fiber modes at a given wavelength. That depends on the refractive index profile.

2021-12-19

Will intermodal dispersion occur if a monochromatic light source is used?

The author's answer:

Sure, that does not depend on the spectral width.

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