Comparison of the relative amplitudes and shapes of opposition surges for different terrains at ␭ ϭ 0.56 Ȑ m. The angular widths of the opposition surges for europan terrains are all broadly similar; however, the amplitudes are systematically larger for darker terrains than for brighter ones. (a) SSI GRN-filter amplitudes. The pre-Galileo Hapke model of Domingue et al. (1991) reasonably represents the opposition surge angular width but significantly underestimates its total strength, probably because telescopic data on which the model is based extends to phase angles no smaller than Ͱ ϭ 0.2 Њ . The Moon’s opposition surge (corrected for the smaller angular size of the Sun at Europa’s orbital distance) is significantly broader than Europa’s, consistent with the interpretation that europan regolith is more porous than the Moon’s (Domingue et al. 1991) or, alternatively, that lunar regolith particles are more opaque than grains on Europa’s surface. (b) SSI VLT-filter amplitudes, (c) SSI 1MC- filter amplitudes. 

Comparison of the relative amplitudes and shapes of opposition surges for different terrains at ␭ ϭ 0.56 Ȑ m. The angular widths of the opposition surges for europan terrains are all broadly similar; however, the amplitudes are systematically larger for darker terrains than for brighter ones. (a) SSI GRN-filter amplitudes. The pre-Galileo Hapke model of Domingue et al. (1991) reasonably represents the opposition surge angular width but significantly underestimates its total strength, probably because telescopic data on which the model is based extends to phase angles no smaller than Ͱ ϭ 0.2 Њ . The Moon’s opposition surge (corrected for the smaller angular size of the Sun at Europa’s orbital distance) is significantly broader than Europa’s, consistent with the interpretation that europan regolith is more porous than the Moon’s (Domingue et al. 1991) or, alternatively, that lunar regolith particles are more opaque than grains on Europa’s surface. (b) SSI VLT-filter amplitudes, (c) SSI 1MC- filter amplitudes. 

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During Galileo's G7 orbit, the Solid State Imaging (SSI) camera acquired pictures of the spacecraft shadow point on Europa's surface as well as a comparison set of images showing the same geographic region at phase angle α = 5°. Coverage, obtained at three spectral bandpasses (VLT, 0.41 μm, GRN, 0.56 μm; and 1MC, 0.99 μm) at a spatial resolution of...

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Context 1
... Opposition Effect (SHOE) and the Coherent Backscatter Opposition Effect (CBOE). In SHOE, the brightness of the surface increases with decreasing phase angle as shadows cast by particles become increasingly occulted by the grains themselves (see Hapke 1986, 1993). Because multiply scattered photons in bright surfaces tend to illuminate particle shadows and reduce contrast, the strength of SHOE should decrease with increasing surface albedo. CBOE occurs because of the preferential construc- tive interference of light at small phase angles from multi- ple wavefronts that are scattered in conjugate directions by particles or surface crenulations (see Kravstov and Saichev 1982, Shkuratov 1985, 1988, Van Albada 1985, Hapke 1990, Shkuratov et al. 1991, Mishchenko 1991, 1992a, 1992b, Mishchenko and Dlugach 1992, 1993, Hapke et al. 1993, 1997). Because the efficacy of CBOE depends on multiply scattered photons, it should be present in bright surfaces even when SHOE cannot be detected. By comparison to the lunar photometric function, where both SHOE and CBOE have been observed in lunar shadow-point observations (Buratti et al. 1996, Helfenstein et al. 1997a, see also Shkuratov et al. 1997) and lunar sample data (Hapke et al. 1998), we anticipate that CBOE may form a very narrow contribution to Europa’s total opposition effect relative to that of SHOE. In the lunar case, the angular width of CBOE is about 2 Њ compared to over 8 Њ for SHOE. The three radiometrically calibrated opposition G7ESVLOFOT images (VLT, GRN, 1MC) are shown in Fig. 1. During the 17-sec interval over which the G7ESVLOFOT images were acquired, the spacecraft shadow point tra- versed 70 km from west to east. In each frame, a localized concentric brightening reveals the location the shadow point (see also Fig. 1g) and confirms the presence of a very narrow angular component of the opposition effect. Using the terrain map of Fig. 2 as a guide, we measured the absolute disk-resolved spectral reflectances of separate terrain types as a function of photometric geometry from the G7ESLVOFOT and G7ESLOWFOT images. Of the four terrain materials (Fig. 2), IR-bright icy and IR-dark icy are the most widely distributed and consequently the most uniformly sampled with phase angle. Sampling of dark lineaments and dark spots is less continuous in phase angle and local differences in the albedos of particular examples introduce greater scatter in the phase curve data (Fig. 3). All of the major terrain classes exhibit qualitatively similar opposition behavior (Fig. 4). In the GRN filter, the behaviors of IR-bright icy and IR-dark icy materials are nearly identical at all phase angles shown. Europan terrains typically exhibit a gradual increase in surface reflectance as phase angle decreases from 5 Њ to about 0.3 Њ . Then, at 0.04 Յ Ͱ Յ 0.3 Њ , a more extreme nonlinear surge in reflectance takes place. At 0.04 Њ , all terrains display a conspicuous flattening toward Ͱ ϭ 0 Њ . The observed flattening near 0 Њ , common among all of our phase curves, is predicted as a consequence both of the finite angular radius of the Sun (0.05 Њ at Europa’s mean solar distance) and the contribution of coherent backscatter (Etemad et al. 1987) to the opposition effect. It was first seen on the Moon in Apollo 8 photographs of the command module shadow point (Pohn et al. 1969, Whitaker 1969), but was curiously absent in early shadow point measurements from Clementine images (Nozette et al. 1994). The role of the finite angular size of the Sun in controlling the phase-curve flattening near Ͱ ϭ 0 Њ was considered by Lumme and Bowell (1981). Shkuratov and Stankevich (1995) and Shkuratov et al. (1997) argued that the apparent absence of the solar flattening in Clementine data brought to question the analysis methods applied by Nozette et al. (1994). The combined effects of flattening due to the Sun’s angular size and to coherent backscatter are considered in Shkuratov (1991) and Helfenstein et al. (1997a). Helfenstein et al. (1997a) obtained satisfactory fits to the opposition flattening seen in Apollo 8 shadow-point data by taking into account both coherent backscatter and the angular size of the Sun. The mean albedos of terrains at 5 Њ phase and corresponding extrapolated opposition albedos are given in Table III and Figs. 5 and 6. To a good approximation, the extrapolated opposition albedos increase linearly with their corresponding albedos at 5 Њ (Fig. 6)—a result useful for estimating normal albedos of europan terrains from images obtained at phase angles that are well outside of the opposition effect. The relative amplitudes of terrain opposition surges can be compared by normalizing all of the phase curves to unity at Ͱ ϭ 5 Њ , as is done in Fig. 7. Shown for comparison is a pre-Galileo model phase curve for Europa derived from photometry of Voyager images and Earth-based telescopic observations (Domingue et al. 1991). Pre-Galileo telescopic whole-disk photometry of Europa extended only to Ͱ ϭ 0.2 Њ —adequate to reveal the presence of an ex- tremely narrow opposition effect but insufficient to measure accurately its total strength. As shown in Fig. 7a, the opposition effect for bright icy terrains, which dominate Europa’s surface, is about 1.5 times stronger than predicted from pre-Galileo studies. Figure 7a also shows a model phase curve for average lunar regolith (Helfenstein et al. 1997a). The lunar curve includes the narrow contribution observed in shadow-point observations of the lunar surface (cf. Helfenstein et al. 1997a, Buratti et al. 1996) and is corrected to account for the Sun’s smaller angular size at Europa’s mean solar distance. Even accounting for the Sun’s small angular radius at Europa (0.05 Њ compared to 0.27 Њ at the Earth’s distance), the narrow component of the Moon’s opposition effect is broader than Europa’s consistent with the interpretation that lunar regolith ...
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... more opaque than ice particles in Europa’s regolith (see Section 3.1). Figure 7 suggests a general trend; the opposition surges for relatively dark europan materials (dark lineaments and dark spots) are systematically more intense than for brighter materials (IR-bright icy and IR-dark icy materials). In Fig. 8, the relative amplitude of each opposition surge is plotted as a function of the reflectance measured at Ͱ ϭ 5 Њ . The solid line is locus of relative amplitudes predicted from the linear least-squares fit from Fig. 6. The figure confirms the tendency for opposition amplitude to strengthen primarily as function of decreasing terrain albedo and reveals that shadow-hiding and coherent-backscatter both contribute to Europa’s opposition surge. The presence of the shadow-hiding opposition surge is revealed by the nonlinear decrease in opposition effect strength with increasing albedo 4 (see Verbiscer and Helfenstein 1998; Fig. 4 of Helfenstein et al. 1997a). The presence of coherent backscatter is indicated by (1) the fact that absolute surface reflectances exceed unity at opposition but are generally less than unity at phase angles greater than 0.1 Њ (the theoretical amplification limit from coherent ...
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... effect (CBOE), in which light scattered along oppos- ing paths through small regolith grains constructively inter- feres (Kravstov and Saichev 1982, Shkuratov 1985, Van Albada 1985, Shkuratov 1988, Hapke 1990, Mishchenko 1991, 1992a, 1992b, Mishchenko and Dlugach 1992, 1993, Hapke et al. 1993, 1997). We find that stratigraphically young ridges on Europa have anomalously weak opposition surge behavior. Finally, we offer some preliminary interpretations of regolith physical properties that would be consistent with the observed range of europan opposition effects and consider implications for the geological emplacement and evolution of europan terrains. To investigate Europa’s opposition effect during Galileo’s G7 orbit around Jupiter, coverage was obtained in three bandpasses 1 (VLT, 0.414 Ϯ 0.013 0.018 Ȑ m; GRN, 0.559 Ϯ 0.032 0.035 Ȑ m; and 1MC, 0.990 Ϯ 0.015 0.031 Ȑ m). The images (Table I) show a 162 ϫ 220-km region of Europa’s surface located at 30 Њ N, 162 Њ W (see Fig. 3) and provide the best spatial resolution (404 m/pixel) of any Galileo multispectral coverage for europan surface features yet obtained. Downlink limitations permitted only a portion of each 800 ϫ 800- pixel frame to be transmitted back to Earth. Special efforts were made to accurately determine the camera pointing geometry and perform radiometric calibration. Details are provided in Appendix I. For clarity, we have separated the following presentation into three discussions. We begin in Section 2.1 by defining four 2 important terrain materials (IR-bright icy material, IR-dark icy material, dark lineament material, and dark spot material) on the basis of their colors and albedos and discussing the relationship of these materials to terrains classified by other workers. In Section 2.2, we explore the average opposition surge behaviors of different europan terrain materials. Finally, in Section 2.3 we identify and analyze features (young-appearing ridges) that exhibit anomalously weak opposition effects in comparison to those of typical europan terrains. Our primary data set consists of reflectance measurements extracted from calibrated Galileo frames listed in Table I as well as images constructed by combining individual frames as color composites (Figs. 2a and 2b) or as ratio images (Figs. 1b, 1d, and 1f ). Table II and Fig. 2c identify the four terrain materials we investigate in Sections 2.1 and 2.2. Average opposition surge behaviors of the terrains are illustrated in Fig. 4 as disk-resolved ‘‘phase curves’’—plots showing the reflectance of the different terrains as functions of phase angle. We have fit smooth curves through these data 3 for the purposes of comparing terrain albedos at two specific phase angles ( Ͱ ϭ 0 Њ and Ͱ ϭ 5 Њ ) and to compare the gross shapes of disk-resolved phase curves over this range of phase angles. Note, however, that our results and conclusions do not depend on the physical interpretation of photometric model parameters. Our conclusions rely only on the satisfactory ability of the photometric model to fit accurately the photometric data over a limited range incidence (31–35 Њ ) and emission angles (32–37 Њ ) and phase angles (0–5 Њ ). Average spectral albedos of terrain units evaluated at 5 Њ phase and at opposition, respectively are listed Table III. They are also plotted as a function of wavelength, separately at 5 Њ phase (Fig. 5a) and at opposition (Fig. 5b). Figure 6 demonstrates how the opposition albedos of terrains vary systematically with their corresponding albedos measured at Ͱ ϭ 5 Њ . In Fig. 7, we use model fits to compare the relative shapes of opposition effects for different terrains and show that their relative amplitudes significantly vary. This fact is confirmed by the nonuniform appearance of Figs. 1b, 1d, and 1f which show ‘‘phase- ratio’’ images constructed by dividing opposition frames (G7ESVLOFOT) by their 5 Њ phase counterparts (G7ESLOWFOT). To measure relative amplitudes of opposition surges, we define the ratio of the opposition albedo to that measured at Ͱ ϭ 5 Њ . Figure 8 shows how the relative amplitudes of different europan terrains vary in complicity with their corresponding 5 Њ albedos. Figures 1b, 1d, and 1f reveal linear features with anomalously weak opposition surges in comparison to average terrain materials. The locations of these features are mapped in Fig. 1g. Figure 1h is a G1 image obtained at high incidence angle and shows that the anomalous features correspond to prominent topographic ridges. Disk-resolved ‘‘phase curves’’ of the anomalous ridges are pre- sented in Fig. 9, and spectral albedos are listed in Table ...

Citations

... At very small phase angles near opposition, 0°-3°, highly reflective objects, such as icy satellites, Saturn's rings, and E-type asteroids, exhibit a very sharp and narrow brightness peak, called the brightness opposition effect (Franklin & Cook 1965;Harris et al. 1989; Thompson & Lockwood 1992;Helfenstein et al. 1998), and an extremely narrow minimum of negative polarization, called the polarization opposition effect (POE; Lyot 1929;Johnson et al. 1980;Rosenbush et al. 1997). Both of these phenomena exhibit similar regularities that were attributed to their formation by the same mechanism-a coherent backscattering effect caused by the interference of the conjugate scattered electromagnetic waves propagating in inverse directions, yielding an enhanced scattered intensity and negative polarization near the direction of backscattering (e.g., Muinonen 1990;Mishchenko 1993;Shkuratov et al. 1994). ...
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New high-precision disk-integrated measurements of the polarization of Io and Ganymede in the UBVRI bands are presented. The observations were obtained using polarimeters mounted on the Crimean Astrophysical Observatory and the Peak Terskol Observatory in 2019–2023. For Io, the negative polarization branch (NPB) reaches a minimum of P min ≈ −0.25 ± 0.02% in the V band at a phase angle of α min = 2.°1 ± 0.°5. The inversion angle is α inv = 26° ± 6° in the V and R bands. The NPB for Ganymede is an asymmetric curve, with P min = −0.34 ± 0.01% at α min = 0.°52 ± 0.°06 and α inv = 8.°5 ± 0.°2 in the V band. Although Io and Europa have similar geometric albedos (0.63 and 0.67, respectively), their NPB shapes differ. The NPB of Ganymede (albedo of 0.43) is morphologically similar to that of Europa, although it is described by different parameter values ( P min , α min , and α inv ). This discrepancy is likely due to the compositions of their surfaces: Europa’s with H 2 O ice, Io’s with sulfuric/silicate composition, and Ganymede’s with H 2 O ice and silicates. Numerical computations using the radiative transfer coherent backscattering method demonstrated a match to the polarimetric observations and to the geometric albedos for Ganymede with the single-scattering albedo ≈ 0.943 and mean free path length kl = 2 πl / λ eff ≈ 150, where λ eff is the wavelength. For Io’s regolith, the single-scattering albedo was found to be ≈ 0.979 and kl ≈ 40.
... This spike in the intensity of the reflected light of Europa, the so-called brightness opposition effect (BOE), was detected by Thompson & Lockwood (1992) and Domingue et al. (1991). Using data from the Galileo mission, Helfenstein et al. (1998) confirmed the strong and very narrow BOE for Europa and studied it in detail. ...
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This paper is dedicated to a long-standing problem of the shape of the negative branch of polarization (NBP) for Jupiter's moon Europa, determination of which is crucial for the characterization of the icy regolith on this satellite and similar objects, as well as for further progress in understanding light scattering by particulate surfaces. To establish the shape of Europa's NBP, in 2018–2021 we accomplished high-precision disk-integrated polarimetry of Europa in the UBVR I bands using the identical two-channel photoelectric polarimeters mounted on the 2.6 m Shajn reflector of the Crimean Astrophysical Observatory and the 2 m telescope of the Peak Terskol Observatory. We found that the polarization dependence on the phase angle in each filter is an asymmetric curve with a sharp polarization minimum P min ≈ − 0.3 % at phase angle α min ≤ 0 .° 4 , after which the polarization degree gradually increases to positive values, passing the inversion angle at α inv ≈ 6° − 7°. Within the error limits, the parameters P min , α min , and α inv of the NPB are independent of the wavelength in the visible spectrum. The polarization curve clearly demonstrates the so-called polarization opposition effect (POE). Our analysis of the previous and new polarimetric observations of Europa allows us to conclude that the POE is caused by coherent backscattering of sunlight on microscopic icy grains covering Europa’s surface. Computer modeling with the numerical radiative transfer coherent backscattering method demonstrates that the best fit to the polarimetric observations and geometric albedo of Europa is provided by a regolith layer of elementary single-scattering albedo ∼0.985 and extinction mean free path length 2 π l / λ eff ≈ 150, λ eff representing the effective wavelength in the UBVR I spectral bands.
... The photometric model fit to Europa implies that its surface is less rough than the Moon and the Saturnian satellite Mimas despite Mimas's albedo being similar to Europaʼs (Hapke 1968;Buratti 1985;Hansen et al. 2005). Helfenstein et al. (1998) performed a detailed analysis of the opposition surge from Galileo data, offering views of the compaction state of the surface, which in turn yields clues to possible active areas or regions of recent frost deposition, and regions for safe landing. Unfortunately, the Galileo data set was small due to a retracted antenna resulting in a limited number of regions studied. ...
... These models derive physical parameters such as macroscopic roughness, the compaction state of the surface, the single-particle phase function, and the singlescattering albedo. These parameters have been derived for the surface of Europa but the model is unnecessarily complicated for planning spacecraft observations and quick-look data analysis because the fits are not unique (see Helfenstein et al. 1998) and often cumbersome to use. In addition, all of these models were only fit to Voyager data. ...
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We infer the surface reflectance properties of Europa using multispectral data sets available from previous missions. We use 21 full-disk images of Europa from Voyager’s Imaging Science System, Galileo’s Solid State Imaging, and New Horizons’ Long Range Reconnaissance Imager at differing observation geometries (10°–128° (phase angle)) to compute disk-integrated surface-scattering properties over various geologic units. The derived empirical photometric models will serve the practical goals of data acquisition, aid in the calculation of instrument integration times, and facilitate quick-look data products for images acquired by Europa Clipper and other future missions to Europa. We use the Minneart and Lommel–Seeliger plus Lambert reflectance models to constrain the photometric parameters of Europa’s surface. We find that the surface albedo parameter, B 0 , in the Minneart function gradually decreases with increasing phase angles. We also note that the photometric properties of Europa (geometric albedo at 0.47 μ m is 0.72 on the leading side and 0.62 on the trailing side) require a significant “Lambert” term ( A < 1) in the Lommel–Seeliger plus Lambert reflectance model. We also observe that the photometric parameters are not highly dependent on the geologic terrain type despite their visibly different albedos.
... This is a slightly higher that the disk-averaged value found by Domingue et al. 1991 θ can very much depend on the way the opposition surge is parameterized (Shepard and Helfenstein, 2007). As we do not have a lot of data below 10 • and none below 1 • where the effects of the CBOE are strongest (Helfenstein et al., 1998), we can suppose that this has little incidence in our situation. ...
Preprint
The surface of Europa is geologically young and shows signs of current activity. Studying it from a photometric point of view gives us insight on its physical state. We used a collection of 57 images from Voyager's Imaging Science System and New Horizons' LOng Range Reconnaissance Imager for which we corrected the geometric metadata and projected every pixel to compute photometric information (reflectance and geometry of observation). We studied 20 areas scattered across the surface of Europa and estimated their photometric behavior using the Hapke radiative transfer model and a Bayesian framework in order to estimate their microphysical state. We have found that most of them were consistent with the bright backscattering behavior of Europa, already observed at a global scale, indicating the presence of grains maturated by space weathering. However, we have identified very bright areas showing a narrow forward scattering possibly indicating the presence of fresh deposits that could be attributed to recent cryovolcanism or jets. Overall, we showed that the photometry of Europa's surface is more diverse than previously thought and so is its microphysical state.
... Given its reliance on multiple scattering, it is likely that CB is experienced by bright, atmosphereless solar system bodies like the Saturnian satellites (Helfenstein et al. 1998;Mishchenko et al. 2009) and E-type asteroids (Mishchenko & Dlugach 1993;Rosenbush et al. 2009), and not by the darkest objects (Shevchenko & Belskaya 2010). Whether CB is important for bodies of intermediate albedo is not clear. ...
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Context. The surface reflectance of planetary regoliths may increase dramatically towards zero phase angle, a phenomenon known as the opposition effect (OE). Two physical processes that are thought to be the dominant contributors to the brightness surge are shadow hiding (SH) and coherent backscatter (CB). The occurrence of shadow hiding in planetary regoliths is self-evident, but it has proved difficult to unambiguously demonstrate CB from remote sensing observations. One prediction of CB theory is the wavelength dependence of the OE angular width. Aims. The Dawn spacecraft observed the OE on the surface of dwarf planet Ceres. We aim to characterize the OE over the resolved surface, including the bright Cerealia Facula, and to find evidence for SH and/or CB. It is presently not clear if the latter can contribute substantially to the OE for surfaces as dark as that of Ceres. Methods. We analyze images of the Dawn framing camera by means of photometric modeling of the phase curve. Results. We find that the OE of most of the investigated surface has very similar characteristics, with an enhancement factor of 1.4 and a full width at half maximum of 3° (“broad OE”). A notable exception are the fresh ejecta of the Azacca crater, which display a very narrow brightness enhancement that is restricted to phase angles <0.5° (“narrow OE”); suggestively, this is in the range in which CB is thought to dominate. We do not find a wavelength dependence for the width of the broad OE, and lack the data to investigate the dependence for the narrow OE. The prediction of a wavelength-dependent CB width is rather ambiguous, and we suggest that dedicated modeling of the Dawn observations with a physically based theory is necessary to better understand the Ceres OE. The zero-phase observations allow us to determine Ceres’ visible geometric albedo as p V = 0.094 ± 0.005. A comparison with other asteroids suggests that Ceres’ broad OE is typical for an asteroid of its spectral type, with characteristics that are primarily linked to surface albedo. Conclusions. Our analysis suggests that CB may occur on the dark surface of Ceres in a highly localized fashion. While the results are inconclusive, they provide a piece to the puzzle that is the OE of planetary surfaces.
... Емісія іонів калію відкрили за даними спостережень в 1975-1980 рр. [326,689]. Хмара калію зі зміною магнітної широти Іо веде себе подібно до натрієвої хмари, але її інтенсивність стає значно меншою коли Іо перетинає магнітний екватор Юпітера, найбільше випромінювання в резонансній лінії λ = 766,5 нм сягало ≈ 7 кРелей на відстані 7,5˝ на схід від Іо. ...
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The book presents the main results of the study of the optical characteristics of diffusely reflected radiation and physical characteristics of the surface of the satellites of the giant planets and their rings. The publication is intended for teachers of higher educational institutions, students and professionals who specialize in experimental astrophysics and physics of the solar system surfaces.
... Правда в работе [52] указывалось, что этот яркий регион может и не является аномальным по сравнению с другими яркими областями поверхности на Европе, которые также были исследованы и с помощью КА «Вояджер» при значительных фазовых углах. Поэтому эту гипотезу следует проверить по изображениях равнинных участков Европы, полученных с КА «Галилео» с высокой пространственной разрешающей способностью [12,25,34]. ...
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Rotation around the central planet of Europa is synchronous. Leading hemisphere – is much brighter and less polluted by "no ice" material than the trailing one. The high albedo of the satellite may indicates that the ice on the surface is clean enough and is formed recently: 1,5-30 million years ago. Comparison of surface images of spacecrafts "Voyager" and "Galileo" with a low spatial resolution did not detec any significant changes during 20 years. But a detailed analysis of observational data with high resolution points to a number of features on the surface, which may indicate a change in the geological structures during this time. Spectral geometric albedo in the wavelength range 346-750 nm of leading and trailing hemispheres of Galilean satellites were defined using of our spectral observations in 2009 and 2010 and the observations of the other authors at different values of orbital and solar phase angles. The high geometric albedo in the red region of Io and Europa spectrum are confirmed; albedo of Io decreases sharply with decreasing of wavelength for  < 500 nm; albedo of Ganymede and Callisto – reduced smoothly; albedo of Europa – have an intermediate gradient of reduction. Such behavior of the spectral variation of Europa surface albedo can be explained by deposition of sulfur from Io. Moreover, the sulfur absorption is more strongly on the trailing hemisphere. This indicates that the sulfur on the leading hemisphere is "processed" by meteoritic bombardment much faster and is gone to the the sub-surface regolith layer.
... This result raises an interesting question [85] of whether one can legitimately attribute to the effect of CB certain results of photometric and polarimetric observations of particulate planetary surfaces at small phase angles [86][87][88][89][90][91][92][93][94][95][96][97][98][99][100][101] such as those depicted in Fig. 12. In principle, this attribution is as unnecessary as the introduction of the mathematical concept of CB in the first place. ...
Article
Following Keller (Proc Symp Appl Math 1962;13:227–46), we classify all theoretical treatments of electromagnetic scattering by a morphologically complex object into first-principle (or “honest” in Keller's terminology) and phenomenological (or “dishonest”) categories. This helps us identify, analyze, and dispel several profound misconceptions widespread in the discipline of electromagnetic scattering by solitary particles and discrete random media. Our goal is not to call for a complete renunciation of phenomenological approaches but rather to encourage a critical and careful evaluation of their actual origin, virtues, and limitations. In other words, we do not intend to deter creative thinking in terms of phenomenological short-cuts, but we do want to raise awareness when we stray (often for practical reasons) from the fundamentals. The main results and conclusions are illustrated by numerically-exact data based on direct numerical solutions of the macroscopic Maxwell equations.
... Detector: 20 cm refractor with CCD attached recently been complemented by disk-resolved data from spacecraft observations such as the Galileo Europa mission [2]. The Hubble space-telescope observations of the opposition effect of Saturn's rings [3], which mainly consist of water-ice particles with minor amounts of contamination, provide an interesting point of comparison with the field data of snow in studying the effect of impurity on the phase-curve properties. ...
Article
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We present photometry of snow samples in the backscattering direction, i.e., at very small phase (light-source – target – observer) angles. Relative brightness measurements are taken to study the backscattering behaviour of snow and ice samples to be able to interpret the opposition effect of icy solar-system surfaces (for example, icy rings and satellites). Preliminary results of three separate experiments are presented, all of which exhibit a similar feature: a backscattering peak is exhibited by snow of different grain types and with different amounts of contamination. The peak grows stronger with increasing contamination. PACS No.: 96.35
... This result raises an interesting question [85] of whether one can legitimately attribute to the effect of CB certain results of photometric and polarimetric observations of particulate planetary surfaces at small phase angles [86][87][88][89][90][91][92][93][94][95][96][97][98][99][100][101] such as those depicted in Fig. 12. In principle, this attribution is as unnecessary as the introduction of the mathematical concept of CB in the first place. ...