An object scatters an incident plane wave with E inc (r, t) = e 0 E 0

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An object scatters an incident plane wave with Einc(r, t) = ê0Eexp[i(k· r − ωt)]. Use the Maxwell stress tensor formalism to show that the time-averaged force on the object can be written in terms of the incident wave intensity Iinc, the total cross

 section σtot, and the differential cross section for scattering dσscatt/dΩ as

image

The projection of this force on the direction k̂is often called the radiation pressure due to scattering.

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