Effective Mode Area | previous | next | feedback |
Definition: a quantitative measure of the area which a waveguide or fiber mode effectively covers in the transverse dimensions
Modes of fibers or other waveguides have smooth transverse profiles where the definition of a mode area is not straightforward, particularly for complicated mode shapes where e.g. some 1/e2 intensity criterion as for Gaussian beams is not sensible. A useful definition for the effective mode area is

where E is the electric field amplitude and I is the optical intensity. For a Gaussian beam with radius w, the effective area is π w2, and the same equation is valid for relating the mode area to the effective mode radius. The equation would also hold for a rectangular (step-index) intensity profile with radius w.
Typical single-mode fibers, as used e.g. for optical fiber communications, have effective mode areas of the order of 100 μm2. Large mode area fibers have several times higher mode areas, sometimes even above 1000 μm2. On the other hand, there are some photonic crystal fibers with mode areas below 10 μm2.
An important consequence of a small mode area is that the optical intensities for a given power level are high, so that nonlinearities become important. Also, small mode areas are usually the consequence of strong guiding, where bend losses and other effects of external disturbances are weak.
Note that the article on beam radius contains an equation that can be used for calculating the mode radius (and thus the effective mode area) for a step-index fiber.
See also: fibers, single-mode fibers, waveguides, modes, mode radius


