Skip to main content Accessibility help
×
Hostname: page-component-78c5997874-j824f Total loading time: 0 Render date: 2024-11-10T08:51:32.476Z Has data issue: false hasContentIssue false

2 - Theory of Reflectance and Emittance Spectroscopy of Geologic Materials in the Visible and Infrared Regions

from Part I - Theory of Remote Compositional Analysis Techniques and Laboratory Measurements

Published online by Cambridge University Press:  15 November 2019

Janice L. Bishop
Affiliation:
SETI Institute, California
James F. Bell III
Affiliation:
Arizona State University
Jeffrey E. Moersch
Affiliation:
University of Tennessee, Knoxville
Get access

Summary

The theory of reflectance and emittance spectroscopy is based on the fundamental principles of radiative transfer (the propagation of energy in the form of electromagnetic radiation) in particulate media. This chapter outlines key models for radiative transfer in particulate media that can be forward-modeled to predict reflectance and emittance spectra or inverted to obtain the abundance of geologic materials from remote observations. The models are rooted in the optical properties of geologic materials, namely the complex index of refraction, and the scattering of light controlled by particulate texture, shape, and size. The chapter is divided into reflectance modeling and emittance modeling because of the key difference in the origin of the electromagnetic radiation: external to the grain’s surface and internal to the grain’s surface, though the principles are common across this division. The key models presented for reflectance spectroscopy are the Hapke model for scattering and reflectance and the Shkuratov model for reflectance. For emittance spectroscopy, the Hapke model forms the backbone upon which hybrid models incorporating Mie T-matrix concepts are integrated.

Type
Chapter
Information
Remote Compositional Analysis
Techniques for Understanding Spectroscopy, Mineralogy, and Geochemistry of Planetary Surfaces
, pp. 21 - 41
Publisher: Cambridge University Press
Print publication year: 2019

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Arnold, J.A. (2014) Refining mid-infrared emission spectroscopy as a tool for understanding planetary surface mineralogy through laboratory studies, computational models, and lunar remote sensing data. PhD thesis, State University of New York at Stony Brook.Google Scholar
Arnold, J.A., Glotch, T.D., & Plonka, A.M. (2014) Mid-infrared optical constants of clinopyroxene and orthoclase derived from oriented single-crystal reflectance spectra. American Mineralogist, 99, 19421955.Google Scholar
Aronson, J.R. (1986) Optical constants of monoclinic anisotropic crystals: Orthoclase. Spectrochimica Acta A: Molecular Spectroscopy, 42, 187190.CrossRefGoogle Scholar
Aronson, J.R., Emslie, A.G., Allen, R.V., & McLinden, H.G. (1967) Studies of the middle- and far-infrared spectra of mineral surfaces for application in remote compositional mapping of the Moon and planets. Journal of Geophysical Research, 72, 687703.Google Scholar
Aronson, J.R., Emslie, A.G., Miseo, E.V., Smith, E.M., & Strong, P.F. (1983) Optical constants of monoclinic anisotropic crystals: Gypsum. Applied Optics, 22, 40934098.CrossRefGoogle ScholarPubMed
Aronson, J.R., Emslie, A.G., & Strong, P.F. (1985) Optical constants of triclinic anisotropic crystals: Blue vitriol. Applied Optics, 24, 12001203.CrossRefGoogle ScholarPubMed
Bandfield, J.L. (2009) Effects of surface roughness and graybody emissivity on martian thermal infrared spectra. Icarus, 202, 414428.Google Scholar
Bandfield, J.L., Hayne, P.O., Williams, J.-P., Greenhagen, B.T., & Paige, D.A. (2015) Lunar surface roughness derived from LRO Diviner Radiometer observations. Icarus, 248, 357372.CrossRefGoogle Scholar
Belousov, M.V. & Pavinich, V.F. (1978) Infrared reflection spectra of monoclinic crystals. Optics and Spectroscopy, 45, 771774.Google Scholar
Berreman, D.W. (1972) Optics in stratified and anisotropic media: 4×4-matrix formulation. Journal of the Optical Society of America, 62, 502510.Google Scholar
Bohren, C.F. & Huffman, D.R. (2007) Absorption and scattering of light by small particles. John Wiley & Sons, Hoboken, NJ.Google Scholar
Born, M. & Wolf, E. (1980) Principles of optics. Pergamon Press, Oxford.Google Scholar
Chandrasekhar, S. (1960) Radiative transfer. Dover Publications, Mineola, NY.Google Scholar
Christensen, P.R. & Harrison, S.T. (1993) Thermal infrared emission spectroscopy of natural surfaces: Application to desert varnish coatings on rocks. Journal of Geophysical Research, 98, 19,81919,834.CrossRefGoogle Scholar
Clark, B.E., Bus, S.J., Rivkin, A.S., et al. (2004) E-type asteroid spectroscopy and compositional modeling. Journal of Geophysical Research, 109, E02001, DOI:10.1029/2003JE002200.CrossRefGoogle Scholar
Conel, J.E. (1969) Infrared emissivities of silicates: Experimental results and a cloudy atmosphere model of spectral emission from condensed particulate mediums. Journal of Geophysical Research, 74, 16141634.CrossRefGoogle Scholar
Cooper, C.D. & Mustard, J.F. (2002) Spectroscopy of loose and cemented sulfate-bearing soils: Implications for duricrust on Mars. Icarus, 158, 4255.CrossRefGoogle Scholar
Davidsson, B.J.R., Rickman, H., Bandfield, J.L., et al. (2015) Interpretation of thermal emission. I. The effect of roughness for spatially resolved atmosphereless bodies. Icarus, 252, 121.Google Scholar
Denevi, B.W., Lucey, P.G., Hochberg, E.J., & Steutel, D. (2007) Near‐infrared optical constants of pyroxene as a function of iron and calcium content. Journal of Geophysical Research, 112, E05009, DOI:10.1029/2006JE002802.Google Scholar
Donaldson, Hanna K.L., Thomas, I.R., Bowles, N.E., et al. (2012a) Laboratory emissivity measurements of the plagioclase solid solution series under varying environmental conditions. Journal of Geophysical Research, 117, E11004, DOI:10.1029/2012JE004184.Google Scholar
Donaldson, Hanna K.L., Wyatt, M.B., Thomas, I.R., et al. (2012b) Thermal infrared emissivity measurements under a simulated lunar environment: Application to the Diviner Lunar Radiometer experiment. Journal of Geophysical Research, 117, E00H05, DOI:10.1029/2011JE003862.Google Scholar
Donaldson, Hanna K.L., Cheek, L.C., Pieters, C.M., et al. (2014) Global assessment of pure crystalline plagioclase across the Moon and implications for the evolution of the primary crust. Journal of Geophysical Research, 119, 15161545.Google Scholar
Donaldson, Hanna K.L., Greenhagen, B.T., Patterson, W.R., et al. (2017) Effects of varying environmental conditions on emissivity spectra of bulk lunar soils: Application to Diviner thermal infrared observations of the Moon. Icarus, 283, 326342.Google Scholar
Emslie, A.G. & Aronson, J.R. (1983) Determination of the complex dielectric tensor of triclinic crystals: Theory. Journal of the Optical Society of America, 73, 916919.Google Scholar
Feely, K.C. & Christensen, P.R. (1999) Quantitative compositional analysis using thermal emission spectroscopy: Application to igneous and metamorphic rocks. Journal of Geophysical Research, 104, 24,19524,210.CrossRefGoogle Scholar
Glotch, T.D. & Rossman, G.R. (2009) Mid-infrared reflectance spectra and optical constants of six iron oxide/oxyhydroxide phases. Icarus, 204, 663671.Google Scholar
Glotch, T., Rossman, R.G., & Aharonson, O. (2007) Mid-infrared (5–100 μm) reflectance spectra and optical constants of ten phyllosilicate minerals. Icarus, 192, 605622.Google Scholar
Glotch, T.D., Bandfield, J.L., Tornabene, L.L., Jensen, H.B., & Seelos, F.P. (2010) Distribution and formation of chlorides and phyllosilicates in Terra Sirenum, Mars. Geophysical Research Letters, 37, 15.Google Scholar
Glotch, T.D., Bandfield, J.L., Lucey, P.G., et al. (2015) Formation of lunar swirls by magnetic field standoff of the solar wind. Nature Communications, 6, 6189.Google Scholar
Glotch, T.D., Bandfield, J.L., Wolff, M.J., Arnold, J.A., & Che, C. (2016) Constraints on the composition and particle size of chloride salt-bearing deposits on Mars. Journal of Geophysical Research, 121, 454471.Google Scholar
Greenhagen, B.T., Lucey, P.G., Wyatt, M.B., et al. (2010) Global silicate mineralogy of the Moon from the Diviner Lunar Radiometer. Science, 329, 1507.Google Scholar
Hapke, B. (1981) Bidirectional reflectance spectroscopy, 1. Theory. Journal of Geophysical Research, 86, 30393054.Google Scholar
Hapke, B. (1993/2012) Theory of reflectance and emittance spectroscopy. Cambridge University Press, Cambridge.Google Scholar
Hapke, B. (1996) A model of radiative and conductive energy transfer in planetary regoliths. Journal of Geophysical Research, 101, 1681716831.Google Scholar
Hardgrove, C.J., Rogers, A.D., Glotch, T.D., & Arnold, J.A. (2016) Thermal emission spectroscopy of microcrystalline sedimentary phases: Effects of natural surface roughness on spectral feature shape. Journal of Geophysical Research, 121, 542555.Google Scholar
Henderson, B.G. & Jakosky, B.M. (1994) Near-surface thermal gradients and their effects on mid-infrared emission spectra of planetary surfaces. Journal of Geophysical Research, 99, 1906319073.CrossRefGoogle Scholar
Henderson, B.G. & Jakosky, B.M. (1997) Near‐surface thermal gradients and mid‐IR emission spectra: A new model including scattering and application to real data. Journal of Geophysical Research, 102, 65676580.Google Scholar
Henderson, B.G., Lucey, P.G., & Jakosky, B.M. (1996) New laboratory measurements of mid‐IR emission spectra of simulated planetary surfaces. Journal of Geophysical Research, 101, 1496914975.Google Scholar
Hiroi, T. (1994) Recalculation of the isotropic H-functions. Icarus, 109(2), 313317.Google Scholar
Höfer, S., Werling, S., & Beyerer, J. (2013) Thermal pattern generation for infrared deflectometry. AMA Conferences 2013 – Nürnberg Exhibition Centre, May 14–16, 2013 – SENSOR, OPTO and IRS², 785790.Google Scholar
Huffman, D.R. & Stapp, J.L. (1971) Interstellar silicate extinction related to the 2200 Å band. Nature Physical Science, 229, 45.Google Scholar
Ito, G., Arnold, J.A., & Glotch, T.D. (2017) T‐matrix and radiative transfer hybrid models for densely packed particulates at mid‐infrared wavelengths. Journal of Geophysical Research, 122, 822838.Google Scholar
Keshava, N. & Mustard, J.F. (2002) Spectral unmixing. IEEE Signal Processing Magazine, 19(1), 4457, DOI:10.1109/79.974727.Google Scholar
Lane, M.D. (1999) Midinfrared optical constants of calcite and their relationship to particle size effects in thermal emission spectra of granular calcite. Journal of Geophysical Research, 104, 1409914108.Google Scholar
Lawrence, S.J. & Lucey, P.G. (2007) Radiative transfer mixing models of meteoritic assemblages. Journal of Geophysical Research, 112, E07005, DOI:10.1029/2006JE002765.Google Scholar
Li, S. & Li, L. (2011) Radiative transfer modeling for quantifying lunar surface minerals, particle size, and submicroscopic metallic Fe. Journal of Geophysical Research, 116, E09001, DOI:10.1029/2011JE003837.Google Scholar
Li, S. & Milliken, R.E. (2015) Estimating the modal mineralogy of eucrite and diogenite meteorites using visible–near infrared reflectance spectroscopy. Meteoritics and Planetary Science, 50, 18211850.CrossRefGoogle Scholar
Liu, Y., Glotch Timothy, D., Scudder Noel, A., et al. (2016) End‐member identification and spectral mixture analysis of CRISM hyperspectral data: A case study on southwest Melas Chasma, Mars. Journal of Geophysical Research, 121, 20042036.Google Scholar
Logan, L.M. & Hunt, G.R. (1970) Emission spectra of particulate silicates under simulated lunar conditions. Journal of Geophysical Research, 75, 65396548.Google Scholar
Logan, L.M., Hunt, G.R., Salisbury, J.W., & Balsamo, S.R. (1973) Compositional implications of Christiansen frequency maximums for infrared remote sensing applications. Journal of Geophysical Research, 78, 49835003.Google Scholar
Long, L.L., Querry, M.R., Bell, R.J., & Alexander, R.W. (1993) Optical properties of calcite and gypsum in crystalline and powdered form in the infrared and far-infrared. Infrared Physics, 34, 191201.Google Scholar
Lucey, P.G. (1998) Model near-infrared optical constants of olivine and pyroxene as a function of iron content. Journal of Geophysical Research, 103, 17031713.Google Scholar
Mackowski, D.W. (1994) Calculation of total cross sections of multiple-sphere clusters. Journal of the Optical Society of America A, 11, 28512861.CrossRefGoogle Scholar
Mackowski, D.W. & Mishchenko, M.I. (1996) Calculation of the T matrix and the scattering matrix for ensembles of spheres. Journal of the Optical Society of America A, 13, 22662278.Google Scholar
Mackowski, D.W. & Mishchenko, M.I. (2011) A multiple sphere T-matrix Fortran code for use on parallel computer clusters. Journal of Quantitative Spectroscopy and Radiative Transfer, 112, 21822192.Google Scholar
Mayerhöfer, T. & Popp, J. (2007) Employing spectra of polycrystalline materials for the verification of optical constants obtained from corresponding low-symmetry single crystals. Applied Optics, 46, 327334.Google Scholar
Mie, G. (1908) Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen. Annalen der Physik, 330, 377445.Google Scholar
Millán, L., Thomas, I., & Bowles, N. (2011) Lunar regolith thermal gradients and emission spectra: Modeling and validation. Journal of Geophysical Research, 116, DOI: 10.1029/2011JE003874.Google Scholar
Mishchenko, M.I. (1994) Asymmetry parameters of the phase function for densely packed scattering grains. Journal of Quantitative Spectroscopy and Radiative Transfer, 52, 95110.Google Scholar
Moersch, J.E. & Christensen, P.R. (1995) Thermal emission from particulate surfaces: A comparison of scattering models with measured spectra. Journal of Geophysical Research, 100, 74657477.Google Scholar
Murcray, F.H., Murcray, D.G., & Williams, W.J. (1970) Infrared emissivity of lunar surface features: 1. Balloon‐borne observations. Journal of Geophysical Research, 75, 26622669.Google Scholar
Mustard, J.F. & Pieters, C.M. (1987) Quantitative abundance estimates from bidirectional reflectance measurements. Journal of Geophysical Research, 92, E617E626.Google Scholar
Mustard, J.F. & Pieters, C.M. (1989) Photometric phase functions of common geologic minerals and applications to quantitative analysis of mineral mixture reflectance spectra. Journal of Geophysical Research, 94, 1361913634.Google Scholar
Mustard, J.F. & Hays, J.E. (1997) Effects of hyperfine particles on reflectance spectra from 0.3 to 25 µm. Icarus, 125, 145163.Google Scholar
Mustard, J.F. & Sunshine, J.M. (1999) Spectral analysis for Earth science: Investigations using remote sensing data. Remote sensing for the Earth sciences: Manual of remote sensing, 3 (Rencz, A., ed.). John Wiley & Sons, New York, 251307.Google Scholar
Mustard, J.F., Li, L., & He, G.Q. (1998) Nonlinear spectral mixture modeling of lunar multispectral data: Implications for lateral transport. Journal of Geophysical Research, 103, 1941919425.Google Scholar
Osterloo, M.M., Hamilton, V.E., Bandfield, J.L., et al. (2008) Chloride-bearing materials in the southern highlands of Mars. Science, 319, 16511654.CrossRefGoogle ScholarPubMed
Osterloo, M.M., Anderson, F.S., Hamilton, V.E., & Hynek, B.M. (2010) Geologic context of proposed chloride-bearing materials on Mars. Journal of Geophysical Research, 115, E10012, DOI:10.1029/2010JE003613.Google Scholar
Pitman, K.M., Wolff, M.J., & Clayton, C. (2005) Application of modern radiative transfer tools to model laboratory quartz emissivity. Journal of Geophysical Research, 110, E08003, DOI:10.1029/2005JE002428.Google Scholar
Poulet, F. & Erard, S. (2004) Nonlinear spectral mixing: Quantitative analysis of laboratory mineral mixtures. Journal of Geophysical Research, 109, DOI:10.1029/2003JE002179.Google Scholar
Poulet, F., Bibring, J.P., Langevin, Y., et al. (2009) Quantitative compositional analysis of martian mafic regions using the MEx/OMEGA reflectance data. Icarus, 201(1), 6983, DOI:10.1016/J.Icarus.2008.12.025.Google Scholar
Ramsey, M.S. & Christensen, P.R. (1998) Mineral abundance determination: Quantitative deconvolution of thermal emission spectra. Journal of Geophysical Research, 103, 577596.Google Scholar
Robertson, K.M., Milliken, R.E., & Li, S. (2016) Estimating mineral abundances of clay and gypsum mixtures using radiative transfer models applied to visible-near infrared reflectance spectra. Icarus, 277, 171186.Google Scholar
Rogers, A.D. & Aharonson, O. (2008) Mineralogical composition of sands in Meridiani Planum determined from Mars Exploration Rover data and comparison to orbital measurements. Journal of Geophysical Research, 113, E06S14, DOI:10.1029/2007JE002995.Google Scholar
Roush, T.L., Pollack, J.B., & Orenberg, J. (1991) Derivation of midinfrared (5–25 µm) optical constants of some silicates and palagonite. Icarus, 94, 191208.Google Scholar
Roush, T., Esposito, F., Rossman, G.R., & Colangeli, L. (2007) Estimated optical constants of gypsum in the regions of weak absorptions: Application of scattering theories and comparisons to independent measurements. Journal of Geophysical Research, 112, DOI:10.1029/2007JE002920.Google Scholar
Salisbury, J.W. & Wald, A. (1992) The role of volume scattering in reducing spectral contrast of reststrahlen bands in spectra of powdered minerals. Icarus, 96, 121128.Google Scholar
Salisbury, J.W. & Walter, L.S. (1989) Thermal infrared (2.5–13.5 µm) spectroscopic remote sensing of igneous rock types on particulate planetary surfaces. Journal of Geophysical Research, 94, 91929202.CrossRefGoogle Scholar
Salisbury, F.B., Wald, A., & D’Aria, D.M. (1994) Thermal-infrared remote sensing and Kirchhoff’s law 1. Laboratory measurements. Journal of Geophysical Research, 99, 1189711911.Google Scholar
Shirley, K.A. & Glotch, T.D. (2019) Particle size effects on mid-IR spectra of lunar analog materials in a simulated lunar environment. Journal of Geophysical Research, 124, 970–988.Google Scholar
Shirley, K.A., Glotch, T.D., Greenhagen, B.T., & White, M. (2015) A multiplicative approach to correcting the thermal channels for the Diviner Lunar Radiometer Experiment. 46th Lunar Planet. Sci. Conf., Abstract #1992.Google Scholar
Shkuratov, Y., Starukhina, L., Hoffmann, H., & Arnold, G. (1999) A model of spectral albedo of particulate surfaces: Implications for optical properties of the Moon. Icarus, 137, 235246.Google Scholar
Sklute, E.C., Glotch, T.D., Piatek, J., Woerner, W., Martone, A., & Kraner, M. (2015) Optical constants of synthetic potassium, sodium, and hydronium jarosite. American Mineralogist, 100, 11101122.CrossRefGoogle Scholar
Spitzer, W.G. & Kleinman, D.A. (1961) Infrared lattice bands of quartz. Physical Review, 121, 13241335.Google Scholar
Stamnes, K., Tsay, S.-C., Wiscombe, W., & Jayaweera, K. (1988) Numerically stable algorithm for discrete-ordinate-method radiative transfer in multiple scattering and emitting layered media. Applied Optics, 27, 25022509.Google Scholar
Swanepoel, R. (1983) Determination of the thickness and optical constants of amorphous silicon. Journal of Physics E: Scientific Instruments, 16, 1214.Google Scholar
Thomas, I.R., Greenhagen, B.T., Bowles, N.E., Donaldson Hanna, K.L., Temple, J., & Calcutt, S.B. (2012) A new experimental setup for making thermal emission measurements in a simulated lunar environment. Review of Scientific Instruments, 83, 124502.CrossRefGoogle Scholar
Trang, D., Lucey Paul, G., Gillis‐Davis Jeffrey, J., Cahill Joshua, T.S., Klima Rachel, L., & Isaacson Peter, J. (2013) Near‐infrared optical constants of naturally occurring olivine and synthetic pyroxene as a function of mineral composition. Journal of Geophysical Research, 118, 708732.Google Scholar
Van de Hulst, H.C. (1957) Light scattering by small particles. Dover Publications, Mineola, NY.Google Scholar
Wald, A.E. (1994) Modeling thermal infrared (2–14 μm) reflectance spectra of frost and snow. Journal of Geophysical Research, 99, 24,24124,250.Google Scholar
Wald, A.E. & Salisbury, J.W. (1995) Thermal infrared directional emissivity of powdered quartz. Journal of Geophysical Research, 100, 2466524675.Google Scholar
Wenrich, M.L. & Christensen, P.R. (1996) Optical constants of minerals derived from emission spectroscopy: Application to quartz. Journal of Geophysical Research, 101, 1592115931.Google Scholar

Save book to Kindle

To save this book to your Kindle, first ensure coreplatform@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×