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The characteristics of femtosecond laser pumped conical emission in quadratic media of β-barium borate (BBO)crystals are analysed. A minimized dispersion phase-matching angle, by which a wide-range spectrum can be obtained, is used for broadband amplification. When a seed of a chirped supercontinuum pulse is input, it is found that the seed in wavelength 500nm-750nm is amplified and time resolved.