By L. Allen, Stephen M. Barnett, Miles J. Padgett,

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Rev. Lett. 88 053601. HC Ohanian, 1986, Am. J. Phys. 54 500. H Yilmaz, 1965, Introduction to the theory of relativity and the principles of modern physics (New York: Blaisdell). C Cohen-Tannoudji, J Dupont-Roc and G Grynberg, 1989, Photons and atoms (New York: Wiley). L Mandel and E Wolf, 1995, Optical coherence and quantum optics (Cambridge: Cambridge University Press). SJ van Enk and G Nienhuis, 1994, J. Mod. Opt. 41 963. SJ van Enk and G Nienhuis, 1994, Europhys. Letts. 25 497. SM Barnett and L Allen, 1994, Opt.

The second concerns the difficulty in identifying meaningful spin and orbital angular momenta within full Maxwellian electromagnetism. A number of publications have dealt with each of these problems. It is helpful, in approaching the meaning and interpretation of optical orbital and spin angular momenta, to keep in mind the corresponding problem in the mechanics of a set of material bodies. These might be a set of electrons and nuclei, a gas of molecules or even a 27 28 Spin and orbital angular momentum system of planets and a star.

D Marcuse, 1972, Light Transmission Optics (New York: Van Nostrand). SJ van Enk and G Nienhuis, 1992, Opt. Commun. 94 147. 17 Spin and orbital angular momentum G Nienhuis and L Allen, 1993, Phys. Rev. A 48 656. L Allen, J Courtial and MJ Padgett, 1999, Phys. Rev. E 60 7497. MV Berry, in Singular optics (ed MS Soskin) Frunzenskoe, Crimea 1998, SPIE 3487 1. L Allen and MJ Padgett, 2000, Opt. Commun. 184 67. AT O’Neil, A MacVicar, L Allen and MJ Padgett, 2002, Phys. Rev. Lett. 88 053601. HC Ohanian, 1986, Am.

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