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Efficient conversion between fundamental and high-order modes propagating in multimode optical fiber is important for applications in nonlinear optics. For example, up-conversion in a nonlinear waveguide can be exploited for reaching single-photon detection levels . However, high-order modes could result in destructive interferences among the up-converted modes . On the other hand, it is equally important for efficient conversion from the fundamental mode to a high-order mode propagating in multi-mode optical fiber for wavelength conversion .