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In some cases S-parameters greater than 1 are physically correct, for example when testing a corporate feed on an antenna array with bad matching it could happen that one or more elements can have net power flowing back into the element(s) instead of being radiated.
In other cases the small electrical size of a model could cause an extremely bad match and numerical precision could cause the S11 to be slightly greater than 1.
We list some remedies to improve the results.