The Opposition Effect of the Moon: The Contribution of Coherent Backscatter

The opposition effect, the sharp surge in brightness of an astronomical object observed near zero phase angle, which has been known for more than a century, has generally been explained by shadow hiding. The reflectances of several Apollo lunar soil samples have been measured as a function of phase angle in linearly and circularly polarized light. All samples exhibited a decrease in the linear polarization ratio and an increase in the circular polarization ratio in the opposition peak. This provides unequivocal proof that most of the lunar opposition effect is caused by coherent backscatter, not shadow hiding. This result has major implications for the interpretation of photometric observations of bodies in the solar system, including the Earth.

[1]  T. Gehrels Photometric Studies of Asteroids. V. The Light-Curve and Phase Function of 20 Massalia. , 1956 .

[2]  T. Gehrels,et al.  Wavelength dependence of polarization. iii - the lunar surface. , 1964 .

[3]  Kenneth M. Watson,et al.  Multiple Scattering of Electromagnetic Waves in an Underdense Plasma , 1969 .

[4]  T. Thorpe Viking Orbiter observations of the Mars opposition effect , 1978 .

[5]  R. Wildey,et al.  The Moon in Heiligenschein , 1978, Science.

[6]  Kari Lumme,et al.  Radiative transfer in the surfaces of atmosphereless bodies. I. Theory. , 1981 .

[7]  D. Cruikshank,et al.  The Uranian satellites - Surface compositions and opposition brightness surges , 1983 .

[8]  Wolf,et al.  Weak localization and coherent backscattering of photons in disordered media. , 1985, Physical review letters.

[9]  B. Hapke Bidirectional reflectance spectroscopy: 4. The extinction coefficient and the opposition effect , 1986 .

[10]  Paul N. Woessner,et al.  Polarization of light scattered by clover , 1987 .

[11]  F. MacKintosh,et al.  Coherent backscattering of light in the presence of time-reversal-noninvariant and parity-nonconserving media. , 1988, Physical review. B, Condensed matter.

[12]  Richard P. Binzel,et al.  Phase relations of high albedo asteroids: The unusual opposition brightening of 44 Nysa and 64 Angelina☆ , 1989 .

[13]  E. Shoemaker,et al.  The extraordinary radar echoes from Europa, Ganymede, and Callisto : a geological perspective , 1990 .

[14]  D. T. Thompson,et al.  Europa's phase curve: Implications for surface structure , 1991 .

[15]  Bruce Hapke,et al.  Coherent backscatter and the radar characteristics of outer planet satellites , 1990 .

[16]  Bruce Hapke,et al.  Coherent backscatter model for the unusual radar reflectivity of icy satellites , 1991, Nature.

[17]  M. Mishchenko The angular width of the coherent back-scatter opposition effect: An application to icy outer planet satellites , 1992 .

[18]  H. Netzer,et al.  Quasar discs – III. Line and continuum correlations , 1992 .

[19]  Peters Coherent-backscatter effect: A vector formulation accounting for polarization and absorption effects and small or large scatterers. , 1992, Physical review. B, Condensed matter.