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The Lawson-Woodward theorem is a physics theorem about laser-plasma interaction and particle acceleration. The first contribution comes from James Woodward in 1979. This theorem states that a plane wave in vacuum can not provide a net acceleration to a charged particle, implying that laser-based particle accelerator is impossible in these conditions. Any laser-based particle accelerator should then break at least one of the hypothesis of the Lawson-Woodward theorem to be physically possible.