CH5: Radiative Properties of Natural Surfaces

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Presentation transcript:

CH5: Radiative Properties of Natural Surfaces BRDF: One of the most general means to characterize the reflection properties of a surface is by use of the bi-directional reflection distribution function (BRDF), a function which defines the spectral and spatial reflection characteristic of a surface. The BRDF of a surface is the ratio of reflected radiance to incident irradiance at a particular wavelength: L = reflected radiance (radiant intensity) and E is the incident irradiance (flux). From http://math.nist.gov/~FHunt/appearance/brdf.html

Polarization States: A reminder Wave/Photon boson: Polarization. Linear Polarization: E-field in one direction. Circular, elliptical polarization: E-Efield rotates due to phase difference between horizontal and vertical components. From: http://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/polclas.html

More Details on the Polarization States Elliptical Polarization: The most general representation. Circular Polarization

Fresnel Reflection Coefficients: What is the magnitude of the light specularly reflected from an ice surface as a function of wavelength? i Medium 1 Medium 2 t

Mirages can complicate the BRDF Here assume n1=n1r, n1i=0, n2=n2r, n2i=0. Another type of reflection without a real interface. n1sin(1)= n2sin(2) MIRAGES z For a gas, (nr-1) ≈  =gas density. d/dz > 0 for this type or mirage. What does this say about the likelihood of convection?

Solar Wavelengths: Reflection + Absorption = Total Radiation Incident = 1 Reflection = r() Transmission = Absorption = a() 1 = a() + r()

Radiant Intensity and Flux: How do we deal with reflected radiation? What are examples of each type of reflection?

Reflection is Complex !!!

Reflection Coefficient of Various Surfaces Notes: Snow varies greatly with wavelength, especially in the IR. Note the straw versus alfalfa (dry dead plant versus live plant).

General Case: BDRF BRDF, Bidirectional Reflection Function. General Case: Why the cos and sin? Special Case: Lambertian Surface. General Case: reflectivity