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Abstract: The linear conversion and interactions of Langmuir and electromagnetic waves in an inhomogeneous plasma has been demonstrated by numerical and theoretical methods adequately. The dispersion relation of electromagnetic wave in an inhomogeneous plasma has been deduced. The physical processes of conversion of incident electromagnetic or Langmuir wave in an inhomogeneous plasma and the relationship of the spread vector with the coordinates have been researched, and the mechanism of interactions between the electromagnetic and Langmuir waves have been discussed. The results are of significance for the generation of electromagnetic radiation from density gradient-driven plasma.