The Tenth Marcel Grossmann Meeting
DOI: 10.1142/9789812704030_0313
EPL Association, European Physical Society Letters, 4(62), p. 484-490
DOI: 10.1209/epl/i2003-00374-9
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The Casimir force between two metallic plates is affected by their roughness state. This effect is usually calculated through the so-called "proximity force approximation" which is only valid for small enough wave vectors in the spectrum of the roughness profile. We introduce here a more general description with a wave-vector–dependent roughness sensitivity of the Casimir effect. Since the proximity force approximation underestimates the effect, a measurement of the roughness spectrum is needed to achieve the desired level of accuracy in the theory-experiment comparison.