Spectral Unmixing Applied to Desert Soils for the - Naval ...
Spectral Unmixing Applied to Desert Soils for the - Naval ...
Spectral Unmixing Applied to Desert Soils for the - Naval ...
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II. THE PHYSICS BEHIND REMOTE SENSING<br />
A. REMOTE SENSING<br />
The term remote sensing refers <strong>to</strong> <strong>the</strong> ability <strong>to</strong> conduct measurements and<br />
interpretation of events without being present at <strong>the</strong> location being studied (Goetz and<br />
Rowan, 1981). Remote Sensing instruments make measurements by utilizing solutions <strong>to</strong><br />
<strong>the</strong> wave equation:<br />
where:<br />
is <strong>the</strong> wave amplitude,<br />
is <strong>the</strong> angular frequency,<br />
is <strong>the</strong> phase,<br />
is <strong>the</strong> wave vec<strong>to</strong>r in some propagation medium (Elachi and Van Zyl, 2006).<br />
Remote sensing is useful <strong>for</strong> a variety of applications including mineral<br />
distribution mapping, geologic <strong>for</strong>mation mapping, pollution studies, and geo-ecological<br />
relationships (Ga<strong>the</strong>rcole, 1987). Use of remote systems such as satellite borne sensors is<br />
possible because when light interacts with materials on <strong>the</strong> surface of <strong>the</strong> earth it is<br />
scattered, transmitted, reflected and absorbed by those materials (Figure 1). Some of that<br />
light is <strong>the</strong>n directed in <strong>the</strong> <strong>for</strong>m of pho<strong>to</strong>ns <strong>to</strong>ward an observing sensor and measured as<br />
radiance (Clark, 1999). The radiance measured by <strong>the</strong> sensor is calculated using <strong>the</strong><br />
radiance equation (2) below after Gao and Goetz (1990).<br />
where:<br />
is <strong>the</strong> radiance observed by <strong>the</strong> sensor,<br />
3<br />
(1)<br />
(2)