The realization of self‐dual Yang–Mills fields as nonlinear superpositions of plane waves is treated in analogy with electromagnetism. Despite the nonlinear nature of the fields, there is a complete correspondence between the two theories. The asymptotic behavior of asymptotically flat fields is examined and the plane wave components are shown to decouple on ℐ and on ℐ+ for such fields and to exibit the character of linear fields when viewed as propagating from ℐ to ℐ+.

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