OPPOSITION EFFECT FROM CLEMENTINE DATA AND MECHANISMS OF BACKSCATTER

Abstract An analysis of Clementine data obtained from a UVVIS camera and simulating laboratory photometric and polarimetric measurements is presented with the use of a new photometric three-parameter function combining the shadow-hiding and coherent backscatter mechanisms. The fit of calculated curves to the average brightness phase function of the Moon derived from Clementine data indicates that the coherent backscatter component is nonzero. The average amplitude of the opposition surge of the Moon in the range of phase angles 0°–1° is approximately 10%. The Clementine data also show a flattening of phase-dependent brightness at angles less than 0.25° that is caused by the angular size of the solar disk. The lunar brightness phase curves at small phase angles are nearly the same in different wavelengths even though at larger phase angles (5°–50°) the lunar surface becomes distinctly redder with increasing phase angle. According to the model, the lack of wavelength-dependent brightness variations at small phase angles can be due to quasifractal properties of the lunar surface. Results of related laboratory measurements suggest that: (1) besides the narrow coherent backscatter opposition spike there is a broad component which can contribute to phase angles up to 10° and (2) a component of coherent backscatter can be important even for low albedo surfaces. The latter testifies the opposition effect of the lunar surface to be substantially formed by the coherent backscatter mechanism.

[1]  N. Barabascheff Bestimmung der Erdalbedo und des Reflexionsgesetzes für die Oberfläche der Mondmeere. Theorie der Rillen. , 1922 .

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

[3]  Akira Ishimaru,et al.  Wave propagation and scattering in random media , 1997 .

[4]  B. Hapke Bidirectional reflectance spectroscopy: 1. Theory , 1981 .

[5]  Karri Muinonen,et al.  Light scattering by inhomogeneous media : backward enhancement and reversal of linear polarization , 1990 .

[6]  W. Irvine,et al.  Monochromatic phase curves and albedos for the lunar disk. , 1973 .

[7]  Colour variations with phase of selected regions of the lunar surface , 1970 .

[8]  D. B. Nash,et al.  Vitrification darkening of rock powders: implications for optical properties of the lunar surface , 1973 .

[9]  Yu. A. Kravtsov,et al.  METHODOLOGICAL NOTES: Effects of double passage of waves in randomly inhomogeneous media , 1982 .

[10]  J. Peltoniemi,et al.  A Critical review of theoretical models of negatively polarized light scattered by atmosphereless solar system bodies , 1994 .

[11]  M. Kreslavsky,et al.  Principle of Undulatory Invariance in Photometry of Atmosphereless Celestial Bodies , 1994 .

[12]  T. Gehrels,et al.  Wavelength dependence of polarization. X. , 1967 .

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

[14]  M. Mishchenko,et al.  Can weak localization of photons explain the opposition effect of Saturn's rings? , 1992 .

[15]  A. Ishimaru,et al.  Retroreflectance from a dense distribution of spherical particles , 1984 .

[16]  E. Whitaker An Investigation of the Lunar Heiligenschein , 1969 .

[17]  Alan W. Harris,et al.  Application of photometric models to asteroids. , 1989 .

[18]  R S Stein,et al.  Electromagnetic Scattering. , 1965, Science.

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

[20]  K. Muinonen Goherent Backscattering by Solar System Dust Particles , 1994 .

[21]  Joseph Veverka,et al.  The Lunar Opposition Effect: A Test of Alternative Models☆ , 1997 .

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

[23]  B. Hapke,et al.  The Opposition Effect of the Moon: The Contribution of Coherent Backscatter , 1993, Science.

[24]  M. I. Mishchenko,et al.  Coherent backscatter and the opposition effect for E-type asteroids , 1993 .

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

[26]  V. M. Murav’ev,et al.  Results of TV imaging of Phobos (Experiment VSK-Fregat). , 1991, Planetary and space science.

[27]  B. Buratti,et al.  THE LUNAR OPPOSITION SURGE : OBSERVATIONS BY CLEMENTINE , 1996 .

[28]  P. Oetking Photometric studies of diffusely reflecting surfaces with applications to the brightness of the Moon , 1966 .

[29]  A. Basilevsky,et al.  A possible interpretation of bright features on the surface of Phobos , 1991 .

[30]  B. Hapke Bidirectional reflectance spectroscopy , 1984 .

[31]  T. Gold The Lunar Surface , 1955 .

[32]  L. Akimov Light reflection by the moon. II , 1988 .

[33]  William D. Smythe,et al.  The Opposition Effect of the Moon: Coherent BackscatterandShadow Hiding , 1998 .

[34]  G. Lockwood,et al.  Photoelectric photometry of Europa and Callisto 1976–1991 , 1992 .

[35]  K. Ångström Ueber die Diffusion der strahlenden Wärme von ebenen Flächen , 1885 .

[36]  H. W. Radin,et al.  The Moon's photometric function l, near zero phase angle from Apollo 8 photography , 1969 .

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

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

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

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

[41]  K. Muinonen,et al.  Shadow-hiding effect in inhomogeneous layered particulate media , 1999 .

[42]  David E. Smith,et al.  The Clementine Mission to the Moon: Scientific Overview , 1994, Science.

[43]  J. Hillier,et al.  Shadow-Hiding Opposition Surge for a Two-Layer Surface , 1997 .

[44]  T. Gehrels,et al.  The Palomar-Leiden survey of faint minor planets , 1970 .

[45]  Acceleration in the Ezpansion of the Carb Nebula. , 1957 .

[46]  Y. Shkuratov,et al.  Polarimetric and photometric properties of the Moon: Telescopic observations and laboratory simulations: 1. The negative polarization , 1992 .