Nonradiation condition

Classical nonradiation conditions define the conditions according to classical electromagnetism under which a distribution of accelerating charges will not emit electromagnetic radiation. According to the Larmor formula in classical electromagnetism, a single point charge under acceleration will emit electromagnetic radiation. In some classical electron models a distribution of charges can however be accelerated so that no radiation is emitted.^[1] The modern derivation of these nonradiation conditions by Hermann A. Haus is based on the Fourier components of the current produced by a moving point charge. It states that a distribution of accelerated charges will radiate if and only if it has Fourier components synchronous with waves traveling at the speed of light.^[2]

^ Pearle, Philip (1978). "When can a classical electron accelerate without radiating?". Foundations of Physics. 8 (11–12): 879–891. Bibcode:1978FoPh....8..879P. doi:10.1007/BF00715060. S2CID 121169154.
^ Haus, H. A. (1986). "On the radiation from point charges". American Journal of Physics. 54 (12): 1126–1129. Bibcode:1986AmJPh..54.1126H. doi:10.1119/1.14729.

[Pearle_1978-1] Pearle, Philip (1978). "When can a classical electron accelerate without radiating?". Foundations of Physics. 8 (11–12): 879–891. Bibcode:1978FoPh....8..879P. doi:10.1007/BF00715060. S2CID 121169154.

[Haus-2] Haus, H. A. (1986). "On the radiation from point charges". American Journal of Physics. 54 (12): 1126–1129. Bibcode:1986AmJPh..54.1126H. doi:10.1119/1.14729.

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