The intensity of the HERCULES laser, one of the world's most powerful, is (2.0 times 10^{20} mathrm{~W}

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The intensity of the HERCULES laser, one of the world's most powerful, is \(2.0 \times 10^{20} \mathrm{~W} / \mathrm{mm}^{2}\). Granted, the beam pulse lasts for only \(30 \mathrm{fs}\), but if we assume the beam is an electromagnetic pulse, what is its average energy density, and what energy can one pulse deliver to a \(1.0-\mu \mathrm{m}^{2}\) target?

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