Table 1 Comparison of calculated FWM combinations with the highest overlap integrals (up to three cases for each process).

From: High-gain far-detuned nonlinear frequency conversion in a few-mode graded-index optical fiber

\(\{\mu ,\eta ,\nu ,\kappa \}\)

\(\lambda ^{s}_\mu\)

\(\lambda ^{as}_\eta\)

\(\lambda ^{p1}_\nu\)

\(\lambda ^{p2}_\kappa\)

\(f_{s,as,p1,p2} \left( \upmu \text{m}^{-2}\right)\)

\(\{1, 1, 1, 1\}\)

\(\{1, 2, 1, 2\}\)

3.524

3.475

0.627

0.629

1.064

1.064

1.064

1.064

0.0111

0.0045

\(\{2, 1, 1, 1\}\)

\(\{2, 2, 2, 1\}\)

\(\{1, 3, 1, 2\}\)

1.351

1.364

1.373

0.556

0.554

0.552

1.064

1.064

1.064

0.625

0.625

0.625

0.0135

0.0059

0.0054

\(\{2, 1, 1, 1\}\)

\(\{3, 1, 1, 2\}\)

\(\{1, 2, 1, 1\}\)

0.799

0.791

0.802

0.513

0.517

0.512

0.625

0.625

0.625

0.625

0.625

0.625

0.0171

0.0111

0.0106

\(\{2, 2, 1, 1\}\)

\(\{3, 1, 1, 1\}\)

\(\{2, 3, 1, 2\}\)

0.906

0.894

0.909

0.477

0.480

0.476

0.625

0.625

0.625

0.625

0.625

0.625

0.0119

0.0113

0.0073

  1. For comparison, the self-phase modulation coefficient at pump wavelength in the fundamental mode is 0.0165 \(\upmu \hbox {m}^{-2}\).