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INVERSION OF SYNTHETIC APERTUR,E R,ADAR (SAR) - MSpace ...

INVERSION OF SYNTHETIC APERTUR,E R,ADAR (SAR) - MSpace ...

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elorv that sulface. In genetal, sulface scatteling at tetlairl ot ocean sulface<br />

is, horvever, by far dominant relative to volume scattering in geological or'<br />

oceanographic application of <strong>SAR</strong>.<br />

The palameter o'(r) represents the cotnplex latio of the backscattelecl<br />

wavefielcl to the incident rvavefielcl at the surface boutlclary, ancl indicates a<br />

phase change as well as an amplitude ratio at the scattering surface. The<br />

cornplex backscattering coefÊcient o'(r) may have geophysical signiflcance'<br />

Telrain slope (or incident angle), sur{ace toughress, and complex dielectric<br />

colstant charactelize pt'opelties of a scattelilg surface. Consequently, tliey<br />

ale influeuces on raclal leturtl. The arnplitucle of the cornplex backscatteling<br />

coefficient is goveruecl mainly by tertain slope alcl surface louglÌness.<br />

The complex clielectric cotlstant cletertnines penetlatiotl of microwave, ancl is<br />

closely relatecl to the phase of the cornplex backscattering coefficielt.<br />

In fact, the above two approxitnatiols in Eqs.(4.20) and (4.21) imply that<br />

souLces of the backscattered wavefleld other thal the tnost significaut terrn,<br />

the inciclent wavefield, are neglected. That is exactly the sane idea as Boln<br />

(fir'st) apploxirnatiol ir Eq.(a.9)'<br />

Substituting Eqs.(4.20), and (4.21) into (4.18), we have<br />

U5(ro, r'o;c.,) - ,<br />

I l"ai(r)G¡(r, ro;ø ) frGoQ,r";r),t',<br />

(4.22)<br />

if the incident rvavefield U7 is leplaced by Green's function G6(r, rq;ø). For<br />

the Green's functiou in Eq.(4.i9), we have an approxirnation to a leading<br />

order term in ø given by<br />

Us(ro,ro;co) -<br />

zu îî<br />

8""" J J"<br />

,;,),.,121.<br />

4,@Ta',+o( ^) U2r)<br />

76

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