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Light Forces

Definition: forces associated with absorption, reflection or scattering of light

German: Lichtkräfte

Categories: quantum opticsquantum optics, methodsmethods


Cite the article using its DOI: https://doi.org/10.61835/nd0

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Photons carry not only energy, but also momentum. As a consequence, momentum is transferred (i.e., a force is exerted) when a particle absorbs light or alters its direction (e.g. by refraction). Such light forces are responsible for e.g. the tails of comets, which always occur on the side opposite to the Sun and consist of dust particles dragged away by the light.

Light forces have been first considered by the astronomer Johannes Kepler. James Clerk Maxwell, the creator of the famous Maxwell equations, has later substantially developed further the understanding of light forces. They have later been experimentally proven by the Russian physicist Pyotr Lebedev in 1900 [1].

In simple cases, a light force is described as radiation pressure, exerting a force in the propagation direction of the absorbed light. However, the effective force can also have a direction which is different from the propagation direction. For example, refraction of light in a transparent sphere can redirect the light so that a force perpendicular to a (e.g. Gaussian) laser beam occurs, which pulls the sphere into the region of highest optical intensity.

When calculating light forces on atoms, it is often more convenient to derive the light forces from the gradient of a potential which arises from the interaction of the atoms with the light field. Such conservative forces arise e.g. from the dipole interaction with a laser beam the frequency of which is lower or higher than that of a resonant transition of the atom; the force is then directed towards locations with higher or lower optical intensity, respectively. A red-detuned laser beam can be used for trapping.

There are also non-conservative (dissipative) light forces, which are velocity-dependent. They are also important for trapping particles because they serve to dampen the motion of a trapped particle. This is also called laser cooling.

Light forces are relevant in a number of very different situations:

  • They play an essential role in the formation of tails of comets (see above), as already suggested by Johannes Kepler in 1619.
  • They can be used for trapping, cooling and manipulating particles, e.g. with optical tweezers or in levitating traps, in high-power lasers (where dust particles can be captured and pulled towards cavity mirrors), or in optical clocks.
  • They can be used as intracavity “photon thrusters” which are seriously considered as a tool for stabilizing the relative positions of satellites within satellite arrays for application e.g. in astronomy, geophysical monitoring, mapping, imaging, and surveillance. In contrast to the usual thrusters based on rocket engines, photon thrusters would not require any consumable materials, but only energy, which could be harvested with photovoltaic cells. However, their energy consumption would be substantial.
  • Light forces could also be very useful for isotope separation, e.g. in the context of scientific research. A high isotope selectivity can be achieved particularly when many photon scattering events per atom are used, where the frequency selectivity according to the spectral absorption curve applies once for every event [6].
  • Unwanted light forces occur in interferometers for gravitational wave detection, where they can disturb the test masses.

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[1]P. Lebedev, “Untersuchungen über die Druckkräfte des Lichtes”, Annalen der Physik 311 (11), 433 (1901)
[2]A. Ashkin, “Atomic-beam deflection by resonance-radiation pressure”, Phys. Rev. Lett. 25 (19), 1321 (1970); https://doi.org/10.1103/PhysRevLett.25.1321
[3]T. W. Hänsch and A. L. Schawlow, “Cooling of gases with laser radiation”, Opt. Commun. 13, 68 (1975); https://doi.org/10.1016/0030-4018(75)90159-5
[4]D. J. Wineland and W. M. Itano, “Laser cooling of atoms”, Phys. Rev. A 20 (4), 1521 (1979); https://doi.org/10.1103/PhysRevA.20.1521
[5]J. Ye et al., “Trapping of single atoms in cavity QED”, Phys. Rev. Lett. 83 (24), 4987 (1999); https://doi.org/10.1103/PhysRevLett.83.4987
[6]C. Y. Chen et al., “Ultrasensitive isotope trace analyses with a magneto-optical trap”, Science 286 (5442), 1139 (1999); https://doi.org/10.1126/science.286.5442.1139
[7]C. Savage, “Introduction to light forces, atom cooling, and atom trapping” (1995), https://arxiv.org/abs/atom-ph/9510004
[8]D. Van Thourhout and J. Roels, “Optomechanical device actuation through the optical gradient force” (review article), Nature Photon. 4, 211 (2010); https://doi.org/10.1038/nphoton.2010.72
[9]H. Li et al., “Optical pulling forces and their applications”, Advances in Optics and Photonics 12 (2), 288 (2020); https://doi.org/10.1364/AOP.378390
[10]A. A. R. Neves and C. L. Lenz, “Analytical calculation of optical forces on spherical particles in optical tweezers: tutorial”, J. Opt. Soc. Am. B 36 (6), 1525 (2019); https://doi.org/10.1364/JOSAB.36.001525
[11]H. Li et al., “Optical pulling forces and their applications”, Advances in Optics and Photonics 12 (2), 288 (2020); https://doi.org/10.1364/AOP.378390

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