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. 2015 Oct 9;112(43):13190–13194. doi: 10.1073/pnas.1516704112

Table S2.

Field quantities of a propagating wave and an evanescent wave

Symbol For a propagating wave E=μE0exp(ikz)I=|E0|2 For an evanescent field E=μE0exp(κx)exp(ikzz)Ie=|E0|21+τ(κ/kz)2exp(2κx) Quantity
p g2ωIkzz^ g2ωIe(σκkkzy^+k2kzz^) Poynting momentum density
p 0 g2ωIe(τκk2kz2x^+ξκkkzy^) Value of the imaginary adjoint to the Poynting momentum density
po g2ωIkzz^ g2ωIekzz^ Orbital (or canonical) Poynting momentum density
peo g4ωIkzz^ g4ωIe(1+κ2kz2)kzz^ Electric contribution to the orbital Poynting momentum density
pmo g4ωIkzz^ g4ωIe(1κ2kz2)kzz^ Magnetic contribution to the orbital Poynting momentum density
ps 0 g2ωIe(κ2kz2z^+σκkkzy^) Spin part of the Poynting momentum density [Belinfante’s momentum (17, 19)]
pes 0 g4ωIe((1+τ)κ2kz2z^+σκkkzy^) Electric contribution to the spin momentum density
pms 0 g4ωIe((1τ)κ2kz2z^+σκkkzy^) Magnetic contribution to the spin momentum density
s g2ωIσz^ g2ωIe(σkkzz^+κkzy^) SAM density
se g4ωIσz^ g4ωIe(σkkzz^+(1+τ)κkzy^+ξκkkz2x^) Electric contribution to the SAM density
sm g4ωIσz^ g4ωIe(σkkzz^+(1τ)κkzy^ξκkkz2x^) Magnetic contribution to the SAM
h g2ωInσ g2ωIen2σ Helicity
×p 0 g2ωIe(2κk2kzy^2σκ2kkzz^) Vorticity of the photon flow
ue gn24I gn224Ie(1+τκ2kz2) Electric contribution to energy density
um gn24I gn224Ie(1τκ2kz2) Magnetic contribution to energy density

Summary of the physical quantities involved in the force for a propagating plane wave and for an evanescent field. The magnetic and electric contributions to the orbital and spin angular momenta are listed explicitly.