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External seeded free-electron lasers (FELs) have proven to be compellingtools for generating fully coherent EUV and soft X-ray radiations. Echo-enabledharmonic generation (EEHG), as the most typical representative of externalseeded FELs, has unparalleled harmonic conversion efficiency. However, due tothe limitations of various collective effects, the harmonic conversion of ahigh-gain EEHG that has been proved in experiments does not exceed 50 times.This paper proposes a new EEHG technology with the help of harmonic opticalklystron technology, which can effectively increase the number of harmonicconversion to about 100 times. Theoretical analysis and numerical simulationsshow that intense and almost fully coherent FEL pulses with a radiationwavelength of 3 nm can be generated. At the same time, the seed laser intensityrequired by this scheme is lower, compared to nominal EEHG, thus facilitatingthe generation of high repetition rate seeded FELs.

Ultra-high harmonic conversion of a seeded free-electron laser via harmonic optical klystron