Optical Bit Error Rate

Chapter 2.12.5 - Cut-off Wavelength

2.12.5  Cut-off Wavelength

In optical fibers with complex refractive index profiles, the theoretical calculation
of numerical aperture and cut-off wavelength is more complex and it is determined
with approximate models. Per ITU-T G.650, the cut-off wavelength is defined as
that wavelength that experiences the waveguide a “fundamental mode power decrease
to less than 0.1 dB”. ITU-T G.650 also elaborates that in the case when many
modes are equally excited, “the second-order (LP11) mode undergoes 19.3 dB
more attenuation than the fundamental (LP01)” mode.

In general, if the wavelength in free space is λ and the wavelength in the guide is
λg, then the cut-off wavelength λc is

 

In terms of the M number, the condition for single-mode transmission is approximated
to

 

Similarly, the wavelength below which a single-mode fiber allows multiple modes
is

 

where r is the core radius and NA is the numerical aperture of the fiber.

 

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