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Wapenaar* \(Delft University of Technology\), E. Slob \(Delft University of)Tj 0 -4 Td (Technology\), R. Snieder \(Colorado School of Mines\), D. Draganov \(Delft)Tj 0 -4 Td (University of Technology\), J. Thorbecke \(Delft University of Technology\), J.)Tj 0 -4 Td (van der Neut \(Delft University of Technology\) & S. de Ridder \(Delft)Tj 0 -4 Td (University of Technology\))Tj ET Q q 1 0 0 1 30 159 cm 0.54 0.07 0.12 rg BT /F0 6 Tf 6 TL 0 0 Td (SUMMARY)Tj ET Q 0.54 0.07 0.12 RG 0.5 w 28 158 m 182 158 l S q 0 g 0 G 0.1715 w BT /F1 3.5 Tf 6 TL 30 150.5 Td [(It has been shown by many authors that the cross-correlation of two acoustic wave field recordings yields)]TJ 0 -3.5 Td [(the Green's function between these receivers \(in geophysics this is also known as seismic)]TJ 0 -3.5 Td [(interferometry\). Recently the theory has been extended for situations where time-reversal invariance does)]TJ 0 -3.5 Td [(not hold \(e.g. in attenuating media\) and where source-receiver reciprocity breaks down \(in moving fluids\).)]TJ 0 -3.5 Td [(Here we present a unified interferometric Green's function representation which captures all these)]TJ 0 -3.5 Td [(situations and, due to the unified form, readily extends to more complex situations, such as electroseismic)]TJ 0 -3.5 Td [(interferometry in poro-elastic media. )18(This unified representation has applications for controlled source)]TJ 0 -3.5 Td [(experiments \(as in seismic exploration\) as well as for passive noise recordings of uncorrelated sources in)]TJ 0 -3.5 Td [(the subsurface.)]TJ ET Q endstream endobj 15 0 obj 1878 endobj 18 0 obj <> /XObject<> >> endobj 19 0 obj <> stream 1.00028 0 0 1.00028 72 769.82 cm 0.00 g 0.00 G 0.00 0.00 0.00 1.00 k 0.00 0.00 0.00 1.00 K q 0.304126 0 0 0.304126 336.84 0.00 cm /Im1 Do Q 0.00 g 0.00 G BT/F1 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TD[(C)]TJ 0 -5.76 TD[(A)]TJ/F14 8.96 Tf 9.6 3.52 TD[(;)]TJ/F11 8.96 Tf 4.09 0 TD[(B)]TJ/F12 8.96 Tf 8.57 0 TD[(=)]TJ/F13 8.96 Tf 8.18 23.37 TD[(0)]TJ 0 -15.75 TD[(B)]TJ 0 -5.38 TD[(B)]TJ 0 -5.76 TD[(@)]TJ/F14 8.96 Tf 8.07 20 TD[(b)]TJ/F16 5.98 Tf 3.94 3.81 TD[(p)]TJ/F12 8.96 Tf 16.2 -3.81 TD[(0)-1533(0)-1534(0)]TJ -18.3 -10.96 TD[(0)]TJ/F14 8.96 Tf 16.4 0 TD[(b)]TJ/F16 5.98 Tf 3.95 3.81 TD[(v)]TJ/F12 8.96 Tf 16.3 -3.81 TD[(0)-1533(0)]TJ -36.65 -10.95 TD[(0)-1527(0)]TJ/F14 8.96 Tf 34.76 0 TD[(b)]TJ/F16 5.98 Tf 3.94 3.81 TD[(v)]TJ/F12 8.96 Tf 16.31 -3.81 TD[(0)]TJ -55.01 -10.96 TD[(0)-1527(0)-1533(0)]TJ/F14 8.96 Tf 53.11 0 TD[(b)]TJ/F16 5.98 Tf 3.95 3.81 TD[(v)]TJ/F13 8.96 Tf 4.45 35.95 TD[(1)]TJ 0 -15.75 TD[(C)]TJ 0 -5.38 TD[(C)]TJ 0 -5.76 TD[(A)]TJ/F14 8.96 Tf 9.59 3.52 TD[(;)]TJ/F11 8.96 Tf 4.1 0 TD[(D)]TJ/F17 5.98 Tf 8.12 -1 TD[(x)]TJ/F12 8.96 Tf 5.89 1 TD[(=)]TJ/F13 8.96 Tf 8.19 23.37 TD[(0)]TJ 0 -15.75 TD[(B)]TJ 0 -5.38 TD[(B)]TJ 0 -5.76 TD[(@)]TJ/F12 8.96 Tf 10.27 20 TD[(0)]TJ/F14 8.96 Tf 16.78 0 TD[(@)]TJ/F15 5.98 Tf 4.87 -1 TD[(1)]TJ/F14 8.96 Tf 14.11 1 TD[(@)]TJ/F15 5.98 Tf 4.88 -1 TD[(2)]TJ/F14 8.96 Tf 14.11 1 TD[(@)]TJ/F15 5.98 Tf 4.87 -1 TD[(3)]TJ/F14 8.96 Tf -61.83 -9.96 TD[(@)]TJ/F15 5.98 Tf 4.88 -0.99 TD[(1)]TJ/F12 8.96 Tf 16.32 0.99 TD[(0)-1603(0)-1604(0)]TJ/F14 8.96 Tf -21.2 -10.95 TD[(@)]TJ/F15 5.98 Tf 4.88 -1 TD[(2)]TJ/F12 8.96 Tf 16.32 1 TD[(0)-1603(0)-1604(0)]TJ/F14 8.96 Tf -21.2 -10.96 TD[(@)]TJ/F15 5.98 Tf 4.88 -0.99 TD[(3)]TJ/F12 8.96 Tf 16.32 0.99 TD[(0)-1603(0)-1604(0)]TJ/F13 8.96 Tf 44.78 39.76 TD[(1)]TJ 0 -15.75 TD[(C)]TJ 0 -5.38 TD[(C)]TJ 0 -5.76 TD[(A)]TJ/F14 8.96 Tf 9.6 3.52 TD[(;)]TJ/F2 9.96 Tf -396.57 -32.42 TD[(with)]TJ/F5 9.96 Tf 20.25 0 TD[(p)]TJ/F2 9.96 Tf 7.55 0 TD[(the)-255(acoustic)-255(pressure,)]TJ/F5 9.96 Tf 88.13 0 TD[(v)]TJ/F18 6.97 Tf 4.82 -1.49 TD[(i)]TJ/F2 9.96 Tf 5.86 1.49 TD[(the)-255(particle)-255(v)14(elocity)65(,)]TJ/F5 9.96 Tf 83.47 0 TD[(q)]TJ/F2 9.96 Tf 7.34 0 TD[(the)-255(v)19(olume)-254(injection)-256(rate,)]TJ/F5 9.96 Tf 104.31 0 TD[(f)]TJ/F18 6.97 Tf 4.88 -1.49 TD[(i)]TJ/F2 9.96 Tf 5.86 1.49 TD[(the)-255(e)14(xternal)-254(force,)]TJ/F5 9.96 Tf 74.69 0 TD[(\267)]TJ/F2 9.96 Tf -409.71 -11.95 TD[(the)-192(compressibility)64(,)]TJ/F5 9.96 Tf 79.37 0 TD[(\275)]TJ/F2 9.96 Tf 7.06 0 TD[(the)-191(mass)-192(density)64(,)-202(and)]TJ/F5 9.96 Tf 84.84 0 TD[(b)]TJ/F18 6.97 Tf 4.28 3.61 TD[(p)]TJ/F2 9.96 Tf 6.51 -3.61 TD[(and)]TJ/F5 9.96 Tf 16.29 0 TD[(b)]TJ/F18 6.97 Tf 4.28 3.61 TD[(v)]TJ/F2 9.96 Tf 6.64 -3.61 TD[(the)-191(loss)-192(terms.)-290(Replacing)]TJ/F4 9.96 Tf 101.29 0 TD[(A)]TJ/F2 9.96 Tf 10.57 0 TD[(by)]TJ/F5 9.96 Tf 11.87 0 TD[(\275)]TJ/F6 9.96 Tf 6.81 0 TD[(diag)-14(\(1)]TJ/F5 9.96 Tf 27.25 0 TD[(;)]TJ/F6 9.96 Tf 4.43 0 TD[(0)]TJ/F5 9.96 Tf 4.98 0 TD[(;)]TJ/F6 9.96 Tf 4.43 0 TD[(0)]TJ/F5 9.96 Tf 4.98 0 TD[(;)]TJ/F6 9.96 Tf 4.42 0 TD[(0\))]TJ/F2 9.96 Tf 10.77 0 TD[(and)]TJ/F4 9.96 Tf -401.07 -11.95 TD[(B)]TJ/F2 9.96 Tf 10.64 0 TD[(by)]TJ/F8 6.97 Tf 16.93 3.92 TD[(1)]TJ ET 0.4 w 42.14 -418.46 m 52.68 -418.46 l S BT/F18 6.97 Tf 42.14 -424.39 TD[(\275)]TJ/F19 6.97 Tf 4.13 0 TD[(D)]TJ/F6 9.96 Tf 9.27 3.44 TD[(diag)-13(\(0)]TJ/F5 9.96 Tf 27.25 0 TD[(;)]TJ/F6 9.96 Tf 4.43 0 TD[(1)]TJ/F5 9.96 Tf 4.98 0 TD[(;)]TJ/F6 9.96 Tf 4.42 0 TD[(1)]TJ/F5 9.96 Tf 4.98 0 TD[(;)]TJ/F6 9.96 Tf 4.43 0 TD[(1\))]TJ/F2 9.96 Tf 11.34 0 TD[(\(with)]TJ/F9 9.96 Tf 23.52 0 TD[(D)]TJ/F2 9.96 Tf 10.45 0 TD[(the)-249(dif)24(fusion)-249(coef)24(\002cient\),)-249(equation)-250(\(1\))-250(turns)-250(into)-250(a)-250(dif)24(fusion)-249(equation.)]TJ ET BT 32.79 -434.85 TD[(F)14(or)-195(electroseismic)-196(w)9(a)20(v)15(e)-195(propag)4(ation)-195(in)-196(a)-196(non-mo)14(ving)-195(\()]TJ/F4 9.96 Tf 216.46 0 TD[(v)]TJ/F8 6.97 Tf 6.2 3.62 TD[(0)]TJ/F6 9.96 Tf 7.24 -3.62 TD[(=)]TJ/F4 9.96 Tf 10.51 0 TD[(0)]TJ/F2 9.96 Tf 5.73 0 TD[(\))-195(saturated)-197(porous)-196(solid)-196(we)-196(ha)19(v)15(e)-195(\(Pride,)]TJ -261.08 -11.95 TD[(1994\))]TJ/F4 9.96 Tf 89.56 -17.37 TD[(u)]TJ/F18 6.97 Tf 6.36 4.11 TD[(T)]TJ/F6 9.96 Tf 16.23 -4.11 TD[(=)-1000(\()]TJ/F4 9.96 Tf 21.58 0 TD[(E)]TJ/F18 6.97 Tf 7.53 4.11 TD[(T)]TJ/F5 9.96 Tf 6.27 -4.11 TD[(;)]TJ/F4 9.96 Tf 4.43 0 TD[(H)]TJ/F18 6.97 Tf 8.96 4.11 TD[(T)]TJ/F5 9.96 Tf 6.28 -4.11 TD[(;)]TJ/F9 9.96 Tf 4.42 0 TD[(f)]TJ/F4 9.96 Tf 4.98 0 TD[(v)]TJ/F18 6.97 Tf 6.21 4.11 TD[(s)]TJ/F9 9.96 Tf 4.25 -4.11 TD[(g)]TJ/F18 6.97 Tf 4.98 4.11 TD[(T)]TJ/F5 9.96 Tf 6.28 -4.11 TD[(;)]TJ/F9 9.96 Tf 4.43 0 TD[(\241)]TJ/F20 9.96 Tf 7.74 0 TD[(\277)]TJ/F18 6.97 Tf 6.53 4.11 TD[(T)]TJ/F8 6.97 Tf 0 -6.57 TD[(1)]TJ/F5 9.96 Tf 6.28 2.46 TD[(;)]TJ/F9 9.96 Tf 4.42 0 TD[(\241)]TJ/F20 9.96 Tf 7.75 0 TD[(\277)]TJ/F18 6.97 Tf 6.53 4.11 TD[(T)]TJ/F8 6.97 Tf 0 -6.57 TD[(2)]TJ/F5 9.96 Tf 6.27 2.46 TD[(;)]TJ/F9 9.96 Tf 4.43 0 TD[(\241)]TJ/F20 9.96 Tf 7.75 0 TD[(\277)]TJ/F18 6.97 Tf 6.53 4.11 TD[(T)]TJ/F8 6.97 Tf 0 -6.57 TD[(3)]TJ/F5 9.96 Tf 6.27 2.46 TD[(;)]TJ/F4 9.96 Tf 4.43 0 TD[(w)]TJ/F18 6.97 Tf 8.43 4.11 TD[(T)]TJ/F5 9.96 Tf 6.27 -4.11 TD[(;)-166(p)]TJ/F18 6.97 Tf 9.44 4.11 TD[(f)]TJ/F6 9.96 Tf 5.16 -4.11 TD[(\))]TJ/F5 9.96 Tf 3.88 0 TD[(;)]TJ ET 0.00 0.00 0.00 1.00 k 0.00 0.00 0.00 1.00 K BT/F2 9.96 Tf 421.68 -464.17 TD[(\(2\))]TJ ET 0.00 g 0.00 G BT/F4 9.96 Tf 109.25 -479.11 TD[(s)]TJ/F18 6.97 Tf 4.52 4.11 TD[(T)]TJ/F6 9.96 Tf 16.23 -4.11 TD[(=)-1000(\()]TJ/F9 9.96 Tf 21.58 0 TD[(\241f)]TJ/F4 9.96 Tf 12.73 0 TD[(J)]TJ/F18 6.97 Tf 5.92 4.11 TD[(e)]TJ/F9 9.96 Tf 4.28 -4.11 TD[(g)]TJ/F18 6.97 Tf 4.98 4.11 TD[(T)]TJ/F5 9.96 Tf 6.27 -4.11 TD[(;)]TJ/F9 9.96 Tf 4.43 0 TD[(\241f)]TJ/F4 9.96 Tf 12.72 0 TD[(J)]TJ/F18 6.97 Tf 5.92 4.11 TD[(m)]TJ/F9 9.96 Tf 7.57 -4.11 TD[(g)]TJ/F18 6.97 Tf 4.98 4.11 TD[(T)]TJ/F5 9.96 Tf 6.27 -4.11 TD[(;)]TJ/F4 9.96 Tf 4.43 0 TD[(f)]TJ/F18 6.97 Tf 4.59 4.11 TD[(T)]TJ/F5 9.96 Tf 6.27 -4.11 TD[(;)]TJ/F4 9.96 Tf 4.43 0 TD[(h)]TJ/F18 6.97 Tf 6.36 4.11 TD[(T)]TJ/F8 6.97 Tf 0 -6.57 TD[(1)]TJ/F5 9.96 Tf 6.28 2.46 TD[(;)]TJ/F4 9.96 Tf 4.42 0 TD[(h)]TJ/F18 6.97 Tf 6.37 4.11 TD[(T)]TJ/F8 6.97 Tf 0 -6.57 TD[(2)]TJ/F5 9.96 Tf 6.27 2.46 TD[(;)]TJ/F4 9.96 Tf 4.43 0 TD[(h)]TJ/F18 6.97 Tf 6.36 4.11 TD[(T)]TJ/F8 6.97 Tf 0 -6.57 TD[(3)]TJ/F5 9.96 Tf 6.27 2.46 TD[(;)]TJ/F9 9.96 Tf 4.43 0 TD[(f)]TJ/F4 9.96 Tf 4.98 0 TD[(f)]TJ/F18 6.97 Tf 4.59 4.11 TD[(f)]TJ/F9 9.96 Tf 5.16 -4.11 TD[(g)]TJ/F18 6.97 Tf 4.98 4.11 TD[(T)]TJ/F5 9.96 Tf 6.27 -4.11 TD [(;)-167(h)]TJ/F18 6.97 Tf 10.17 4.11 TD[(f)]TJ/F6 9.96 Tf 5.16 -4.11 TD[(\))]TJ ET 0.00 0.00 0.00 1.00 k 0.00 0.00 0.00 1.00 K BT/F2 9.96 Tf 421.68 -479.11 TD[(\(3\))]TJ ET 0.00 g 0.00 G BT 17.85 -496.48 TD[(\(superscript)]TJ/F5 9.96 Tf 50.76 0 TD[(T)]TJ/F2 9.96 Tf 10.93 0 TD[(denoting)-375(transposition)-374(and)-375(superscripts)]TJ/F5 9.96 Tf 163.22 0 TD[(s)]TJ/F2 9.96 Tf 8.4 0 TD[(and)]TJ/F5 9.96 Tf 18.11 0 TD[(f)]TJ/F2 9.96 Tf 9.68 0 TD[(referring)-375(to)-374(the)-375(solid)-375(and)-375(\003uid)-375(phase,)]TJ -261.1 -11.95 TD[(respecti)24(v)15(ely\),)-351(where)]TJ/F4 9.96 Tf 84.67 0 TD[(E)]TJ/F2 9.96 Tf 10.83 0 TD[(and)]TJ/F4 9.96 Tf 17.68 0 TD[(H)]TJ/F2 9.96 Tf 12.26 0 TD[(are)-331(the)-332(a)19(v)15(erage)-330(electric)-331(and)-332(magnetic)-331(\002eld)-331(v)14(ectors,)]TJ/F4 9.96 Tf 210.58 0 TD[(v)]TJ/F18 6.97 Tf 6.2 3.61 TD[(s)]TJ/F2 9.96 Tf 7.56 -3.61 TD[(and)]TJ/F20 9.96 Tf 17.68 0 TD[(\277)]TJ/F18 6.97 Tf 6.53 -1.5 TD[(i)]TJ/F2 9.96 Tf 6.61 1.5 TD[(the)-331(solid)]TJ -380.6 -11.96 TD[(particle)-257(v)14(elocity)-256(and)-257(b)19(ulk)-256(traction)-257(v)14(ectors,)]TJ/F4 9.96 Tf 170.61 0 TD[(w)]TJ/F6 9.96 Tf 11.33 0 TD[(=)]TJ/F5 9.96 Tf 10.64 0 TD[(')]TJ/F6 9.96 Tf 6.51 0 TD[(\()]TJ/F4 9.96 Tf 3.88 0 TD[(v)]TJ/F18 6.97 Tf 6.2 3.62 TD[(f)]TJ/F9 9.96 Tf 7.43 -3.62 TD[(\241)]TJ/F4 9.96 Tf 10.01 0 TD[(v)]TJ/F18 6.97 Tf 6.2 3.62 TD[(s)]TJ/F6 9.96 Tf 4.26 -3.62 TD[(\))]TJ/F2 9.96 Tf 6.43 0 TD[(the)-257(\002ltration)-257(v)14(elocity)-256(\(with)]TJ/F5 9.96 Tf 109.69 0 TD[(')]TJ/F2 9.96 Tf 9.07 0 TD[(the)-257(porosity\),)]TJ/F5 9.96 Tf -362.26 -11.95 TD[(p)]TJ/F18 6.97 Tf 5.01 3.62 TD[(f)]TJ/F2 9.96 Tf 7.82 -3.62 TD[(the)-266(\003uid)-266(pressure,)]TJ/F4 9.96 Tf 74.11 0 TD[(J)]TJ/F18 6.97 Tf 5.92 3.62 TD[(e)]TJ/F2 9.96 Tf 6.93 -3.62 TD[(and)]TJ/F4 9.96 Tf 17.03 0 TD[(J)]TJ/F18 6.97 Tf 5.92 3.62 TD[(m)]TJ/F2 9.96 Tf 10.22 -3.62 TD[(the)-266(e)14(xternal)-265(electric)-266(and)-266(magnetic)-267(current)-266(density)-266(v)14(ectors,)]TJ/F4 9.96 Tf 233.65 0 TD[(f)]TJ/F2 9.96 Tf 7.23 0 TD[(and)]TJ/F4 9.96 Tf 17.04 0 TD[(f)]TJ/F18 6.97 Tf 4.58 3.62 TD[(f)]TJ/F2 9.96 Tf 7.82 -3.62 TD[(the)]TJ -403.28 -11.95 TD[(e)14(xternal)-313(forces)-315(on)-314(the)-314(b)19(ulk)-314(and)-314(on)-314(the)-315(\003uid,)]TJ/F4 9.96 Tf 181.51 0 TD[(h)]TJ/F18 6.97 Tf 6.37 -1.49 TD[(i)]TJ/F2 9.96 Tf 6.45 1.49 TD[(and)]TJ/F5 9.96 Tf 17.51 0 TD[(h)]TJ/F18 6.97 Tf 5.74 3.62 TD[(f)]TJ/F2 9.96 Tf 8.29 -3.62 TD[(the)-314(modi\002ed)-314(e)14(xternal)-314(deformation)-314(rates)-314(for)-315(the)]TJ -225.87 -11.95 TD[(b)19(ulk)-249(and)-250(the)-250(\003uid,)-250(and)]TJ/F4 9.96 Tf 91.65 0 TD[(A)]TJ/F2 9.96 Tf 8.66 0 TD[(,)]TJ/F4 9.96 Tf 4.98 0 TD[(B)]TJ/F2 9.96 Tf 10.64 0 TD[(and)]TJ/F4 9.96 Tf 16.87 0 TD[(D)]TJ/F7 6.97 Tf 8.79 -1.5 TD[(x)]TJ/F2 9.96 Tf 7.74 1.5 TD[(being)]TJ/F6 9.96 Tf 24.63 0 TD[(22)]TJ/F9 9.96 Tf 12.17 0 TD[(\243)]TJ/F6 9.96 Tf 9.96 0 TD[(22)]TJ/F2 9.96 Tf 12.45 0 TD[(matrices.)]TJ ET BT 32.79 -568.19 TD[(Omitting)]TJ/F4 9.96 Tf 38.84 0 TD[(E)] TJ/F2 9.96 Tf 7.52 0 TD[(,)]TJ/F4 9.96 Tf 5.44 0 TD[(H)]TJ/F2 9.96 Tf 8.96 0 TD[(,)]TJ/F4 9.96 Tf 5.44 0 TD[(J)]TJ/F18 6.97 Tf 5.92 3.61 TD[(e)]TJ/F2 9.96 Tf 7.14 -3.61 TD[(and)]TJ/F4 9.96 Tf 17.24 0 TD[(J)]TJ/F18 6.97 Tf 5.92 3.61 TD[(m)]TJ/F2 9.96 Tf 10.42 -3.61 TD[(from)]TJ/F4 9.96 Tf 22.22 0 TD[(u)]TJ/F2 9.96 Tf 9.22 0 TD[(and)]TJ/F4 9.96 Tf 17.24 0 TD[(s)]TJ/F2 9.96 Tf 7.38 0 TD[(in)-286(equations)-287(\(2\))-287(and)-287(\(3\))-287(gi)24(v)15(es)-286(the)-287(\002eld)-287(and)-287(source)-287(v)14(ectors)]TJ -183.84 -11.95 TD[(for)-238(the)-239(Biot)-239(theory)-238(\(Biot,)-239(1956\).)-306(Omitting)-239(in)-238(addition)]TJ/F4 9.96 Tf 213.52 0 TD[(w)]TJ/F2 9.96 Tf 8.43 0 TD[(,)]TJ/F5 9.96 Tf 4.89 0 TD[(p)]TJ/F18 6.97 Tf 5.01 3.61 TD[(f)]TJ/F2 9.96 Tf 5.17 -3.61 TD[(,)]TJ/F4 9.96 Tf 4.89 0 TD[(f)]TJ/F18 6.97 Tf 4.58 3.61 TD[(f)]TJ/F2 9.96 Tf 7.54 -3.61 TD[(and)]TJ/F5 9.96 Tf 16.76 0 TD[(h)]TJ/F18 6.97 Tf 5.74 3.61 TD[(f)]TJ/F2 9.96 Tf 7.54 -3.61 TD[(gi)25(v)15(es)-238(the)-238(\002eld)-239(and)-239(source)-238(v)14(ectors)]TJ -284.07 -11.96 TD[(for)-266(elastodynamic)-265(w)9(a)20(v)14(e)-264(propag)4(ation)-265(in)-266(a)-266(solid.)-357(On)-266(the)-266(other)-266(hand,)-270(omitting)]TJ/F4 9.96 Tf 304.43 0 TD[(v)]TJ/F18 6.97 Tf 6.2 3.62 TD[(s)]TJ/F2 9.96 Tf 4.26 -3.62 TD[(,)]TJ/F20 9.96 Tf 5.18 0 TD[(\277)]TJ/F18 6.97 Tf 6.53 -1.49 TD[(i)]TJ/F2 9.96 Tf 3.31 1.49 TD[(,)]TJ/F4 9.96 Tf 5.18 0 TD[(w)]TJ/F2 9.96 Tf 8.43 0 TD[(,)]TJ/F5 9.96 Tf 5.18 0 TD[(p)]TJ/F18 6.97 Tf 5.01 3.62 TD[(f)]TJ/F2 9.96 Tf 5.16 -3.62 TD[(,)]TJ/F4 9.96 Tf 5.18 0 TD[(f)]TJ/F2 9.96 Tf 4.59 0 TD[(,)]TJ/F4 9.96 Tf 5.17 0 TD[(h)]TJ/F18 6.97 Tf 6.37 -1.49 TD[(i)]TJ/F2 9.96 Tf 3.31 1.49 TD[(,)]TJ/F4 9.96 Tf 5.18 0 TD[(f)]TJ/F18 6.97 Tf 4.58 3.62 TD[(f)]TJ/F2 9.96 Tf 7.82 -3.62 TD[(and)]TJ/F5 9.96 Tf -401.07 -11.95 TD[(h)]TJ/F18 6.97 Tf 5.74 3.62 TD[(f)]TJ/F2 9.96 Tf 8.56 -3.62 TD[(from)]TJ/F4 9.96 Tf 22.76 0 TD[(u)]TJ/F2 9.96 Tf 9.75 0 TD[(and)]TJ/F4 9.96 Tf 17.78 0 TD[(s)]TJ/F2 9.96 Tf 7.91 0 TD[(in)-340(equations)-341(\(2\))-341(and)-341(\(3\))-340(gi)24(v)15(es)-340(the)-341(\002eld)-341(and)-341(source)-340(v)14(ectors)-340(for)-341(electromagnetic)-341(w)9(a)20(v)15(e)]TJ -72.5 -11.95 TD[(propag)4(ation)-249(and/or)-250(dif)24(fusion)-249(in)-250(matter)54(.)]TJ ET BT 32.79 -627.95 TD[(In)-266(all)-267(cases,)-271(matrices)]TJ/F4 9.96 Tf 86.17 0 TD[(A)]TJ/F6 9.96 Tf 8.66 0 TD[(\()]TJ/F4 9.96 Tf 3.87 0 TD[(x)]TJ/F6 9.96 Tf 6.04 0 TD[(\))]TJ/F2 9.96 Tf 6.53 0 TD[(and)]TJ/F4 9.96 Tf 17.04 0 TD[(B)]TJ/F6 9.96 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-271.53 TD[(Gr)17(een')37(s)-249(matrix)]TJ ET BT/F2 9.96 Tf 16.66 -286.58 TD[(F)14(or)-264(the)-266(introduction)-265(of)-266(the)-265(Green')54(s)-265(matrix)-265(we)-265(replace)-266(the)-265(space-)-266(and)-265(frequenc)14(y-dependent)]TJ/F5 9.96 Tf 362.65 0 TD[(L)]TJ/F9 9.96 Tf 9.1 0 TD[(\243)]TJ/F6 9.96 Tf 10.08 0 TD[(1)]TJ/F2 9.96 Tf 7.62 0 TD[(source)]TJ -389.45 -11.95 TD[(v)14(ector)]TJ/F6 9.96 Tf 26.88 0.14 TD[(^)]TJ/F4 9.96 Tf 0.23 -0.14 TD[(s)]TJ/F6 9.96 Tf 4.52 0 TD[(\()]TJ/F4 9.96 Tf 3.87 0 TD[(x)]TJ/F5 9.96 Tf 6.05 0 TD[(;)-166(!)]TJ/F6 9.96 Tf 10.98 0 TD[(\))]TJ/F2 9.96 Tf 6.24 0 TD[(in)-238(equation)-238(\(4\))-237(by)-238(a)]TJ/F5 9.96 Tf 79.89 0 TD[(L)]TJ/F9 9.96 Tf 8.55 0 TD[(\243)]TJ/F5 9.96 Tf 9.51 0 TD[(L)]TJ/F2 9.96 Tf 9.14 0 TD[(frequenc)14(y-independent)-237(point)-237(source)-238(matrix)]TJ/F4 9.96 Tf 173.63 0 TD[(I)]TJ/F5 9.96 Tf 4.34 0 TD[(\261)]TJ/F6 9.96 Tf 4.8 0 TD[(\()]TJ/F4 9.96 Tf 3.88 0 TD[(x)]TJ/F9 9.96 Tf 7.81 0 TD[(\241)]TJ/F4 9.96 Tf 9.51 0 TD[(x)]TJ/F18 6.97 Tf 6.04 -1.49 TD[(A)]TJ/F6 9.96 Tf 6.49 1.49 TD[(\))]TJ/F2 9.96 Tf 3.87 0 TD[(,)-240(where)]TJ/F4 9.96 Tf -386.23 -11.95 TD[(I)]TJ/F2 9.96 Tf 6.77 0 TD[(is)-242(the)-243(identity)-244(matrix)-243(and)]TJ/F4 9.96 Tf 101.74 0 TD[(x)]TJ/F18 6.97 Tf 6.05 -1.49 TD[(A)]TJ/F2 9.96 Tf 8.91 1.49 TD[(denotes)-242(the)-243(source)-243(point.)-308(Correspondingly)64(,)-244(the)]TJ/F5 9.96 Tf 187.7 0 TD[(L)]TJ/F9 9.96 Tf 8.74 0 TD[(\243)]TJ/F6 9.96 Tf 9.71 0 TD[(1)]TJ/F2 9.96 Tf 7.4 0 TD[(\002eld)-242(v)14(ector)]TJ/F6 9.96 Tf 47.98 0.14 TD[(^)]TJ/F4 9.96 Tf -0.69 -0.14 TD[(u)]TJ/F6 9.96 Tf 6.36 0 TD[(\()]TJ/F4 9.96 Tf 3.88 0 TD[(x)]TJ/F5 9.96 Tf 6.04 0 TD[(;)-166(!)]TJ/F6 9.96 Tf 10.98 0 TD[(\))]TJ/F2 9.96 Tf -411.57 -12.95 TD[(is)-287(replaced)-286(by)-287(a)]TJ/F5 9.96 Tf 66.19 0 TD[(L)]TJ/F9 9.96 Tf 9.26 0 TD[(\243)]TJ/F5 9.96 Tf 10.23 0 TD[(L)]TJ/F2 9.96 Tf 9.64 0 TD[(Green')55(s)-286(matrix)]TJ/F6 9.96 Tf 64.7 2.55 TD[(^)]TJ/F4 9.96 Tf -2.01 -2.55 TD[(G)]TJ/F6 9.96 Tf 9.01 0 TD[(\()]TJ/F4 9.96 Tf 3.87 0 TD[(x)]TJ/F5 9.96 Tf 6.04 0 TD[(;)]TJ/F4 9.96 Tf 4.43 0 TD[(x)]TJ/F18 6.97 Tf 6.05 -1.49 TD[(A)]TJ/F5 9.96 Tf 6.48 1.49 TD[(;)-166(!)]TJ/F6 9.96 Tf 10.99 0 TD[(\))]TJ/F2 9.96 Tf 3.87 0 TD[(.)-420(F)14(or)-286(e)14(xample,)-295(the)-286(acoustic)-287(Green')54(s)-286(matrix)-287(is)-287(gi)24(v)15(en)]TJ -208.75 -11.95 TD[(by)]TJ/F6 9.96 Tf 92.19 -34.55 TD[(^)]TJ/F4 9.96 Tf -2.02 -2.54 TD[(G)]TJ/F6 9.96 Tf 9.01 0 TD[(\()]TJ/F4 9.96 Tf 3.87 0 TD[(x)]TJ/F5 9.96 Tf 6.05 0 TD[(;)]TJ/F4 9.96 Tf 4.42 0 TD[(x)]TJ/F18 6.97 Tf 6.05 -1.5 TD[(A)]TJ/F5 9.96 Tf 6.49 1.5 TD[(;)-166(!)]TJ/F6 9.96 Tf 10.98 0 TD[(\))-277(=)]TJ/F21 9.96 Tf 17.15 28.98 TD[(0)]TJ 0 -17.53 TD[(B)]TJ 0 -5.97 TD[(B)]TJ 0 -5.98 TD[(B)]TJ 0 -6.38 TD[(@)]TJ/F6 9.96 Tf 11.04 29.54 TD[(^)]TJ/F5 9.96 Tf -2.26 -2.52 TD[(G)]TJ/F18 6.97 Tf 7.83 3.61 TD[(p;q)]TJ/F6 9.96 Tf 23.22 -1.09 TD[(^)]TJ/F5 9.96 Tf -2.26 -2.52 TD[(G)]TJ/F18 6.97 Tf 7.83 4.78 TD[(p;f)]TJ 2.72 -7.44 TD[(;)]TJ/F8 6.97 Tf 2.37 0 TD[(1)]TJ/F6 9.96 Tf 18.89 5.18 TD[(^)]TJ/F5 9.96 Tf -2.25 -2.52 TD[(G)]TJ/F18 6.97 Tf 7.83 4.78 TD[(p;f)]TJ 2.72 -7.44 TD[(;)]TJ/F8 6.97 Tf 2.36 0 TD[(2)]TJ/F6 9.96 Tf 18.9 5.18 TD[(^)]TJ/F5 9.96 Tf -2.26 -2.52 TD[(G)]TJ/F18 6.97 Tf 7.83 4.78 TD[(p;f)]TJ 2.72 -7.44 TD[(;)]TJ/F8 6.97 Tf 2.37 0 TD[(3)]TJ/F6 9.96 Tf -98.63 -8.46 TD[(^)]TJ/F5 9.96 Tf -2.25 -2.52 TD[(G)]TJ/F18 6.97 Tf 7.83 4.78 TD[(v)-35(;q)]TJ/F8 6.97 Tf 0 -7.44 TD[(1)]TJ/F6 9.96 Tf 23.21 5.18 TD[(^)]TJ/F5 9.96 Tf -2.25 -2.52 TD[(G)]TJ/F18 6.97 Tf 7.83 4.78 TD[(v)-35(;f)]TJ/F8 6.97 Tf 0 -7.44 TD[(1)]TJ/F18 6.97 Tf 3.97 0 TD[(;)]TJ/F8 6.97 Tf 2.36 0 TD[(1)]TJ/F6 9.96 Tf 17.65 5.18 TD[(^)]TJ/F5 9.96 Tf -2.26 -2.52 TD[(G)]TJ/F18 6.97 Tf 7.83 4.78 TD[(v)-36(;f)]TJ/F8 6.97 Tf 0 -7.44 TD[(1)]TJ/F18 6.97 Tf 3.97 0 TD[(;)]TJ/F8 6.97 Tf 2.37 0 TD[(2)]TJ/F6 9.96 Tf 17.64 5.18 TD[(^)]TJ/F5 9.96 Tf -2.25 -2.52 TD[(G)]TJ/F18 6.97 Tf 7.83 4.78 TD[(v)-35(;f)]TJ/F8 6.97 Tf 0 -7.44 TD[(1)]TJ/F18 6.97 Tf 3.97 0 TD[(;)]TJ/F8 6.97 Tf 2.36 0 TD[(3)]TJ/F6 9.96 Tf -99.81 -8.46 TD[(^)]TJ/F5 9.96 Tf -2.25 -2.52 TD[(G)]TJ/F18 6.97 Tf 7.83 4.79 TD[(v)-35(;q)]TJ/F8 6.97 Tf 0 -7.45 TD[(2)]TJ/F6 9.96 Tf 23.21 5.18 TD[(^)]TJ/F5 9.96 Tf -2.25 -2.52 TD[(G)]TJ/F18 6.97 Tf 7.83 4.79 TD[(v)-35(;f)]TJ/F8 6.97 Tf 0 -7.45 TD[(2)]TJ/F18 6.97 Tf 3.97 0 TD[(;)]TJ/F8 6.97 Tf 2.36 0 TD[(1)]TJ/F6 9.96 Tf 17.65 5.18 TD[(^)]TJ/F5 9.96 Tf -2.26 -2.52 TD[(G)]TJ/F18 6.97 Tf 7.83 4.79 TD[(v)-36(;f)]TJ/F8 6.97 Tf 0 -7.45 TD[(2)]TJ/F18 6.97 Tf 3.97 0 TD[(;)]TJ/F8 6.97 Tf 2.37 0 TD[(2)]TJ/F6 9.96 Tf 17.64 5.18 TD[(^)]TJ/F5 9.96 Tf -2.25 -2.52 TD[(G)]TJ/F18 6.97 Tf 7.83 4.79 TD[(v)-35(;f)]TJ/F8 6.97 Tf 0 -7.45 TD[(2)]TJ/F18 6.97 Tf 3.97 0 TD[(;)]TJ/F8 6.97 Tf 2.36 0 TD[(3)]TJ/F6 9.96 Tf -99.81 -8.46 TD[(^)]TJ/F5 9.96 Tf -2.25 -2.52 TD[(G)]TJ/F18 6.97 Tf 7.83 4.79 TD[(v)-35(;q)]TJ/F8 6.97 Tf 0 -7.45 TD[(3)]TJ/F6 9.96 Tf 23.21 5.18 TD[(^)]TJ/F5 9.96 Tf -2.25 -2.52 TD[(G)]TJ/F18 6.97 Tf 7.83 4.79 TD[(v)-35(;f)]TJ/F8 6.97 Tf 0 -7.45 TD[(3)]TJ/F18 6.97 Tf 3.97 0 TD[(;)]TJ/F8 6.97 Tf 2.36 0 TD[(1)]TJ/F6 9.96 Tf 17.65 5.18 TD[(^)]TJ/F5 9.96 Tf -2.26 -2.52 TD[(G)]TJ/F18 6.97 Tf 7.83 4.79 TD[(v)-36(;f)]TJ/F8 6.97 Tf 0 -7.45 TD[(3)]TJ/F18 6.97 Tf 3.97 0 TD[(;)]TJ/F8 6.97 Tf 2.37 0 TD[(2)]TJ/F6 9.96 Tf 17.64 5.18 TD[(^)]TJ/F5 9.96 Tf -2.25 -2.52 TD[(G)]TJ/F18 6.97 Tf 7.83 4.79 TD[(v)-35(;f)]TJ/F8 6.97 Tf 0 -7.45 TD[(3)]TJ/F18 6.97 Tf 3.97 0 TD[(;)]TJ/F8 6.97 Tf 2.36 0 TD[(3)]TJ/F21 9.96 Tf 5.43 52.42 TD[(1)]TJ 0 -17.53 TD[(C)]TJ 0 -5.97 TD[(C)]TJ 0 -5.98 TD[(C)]TJ 0 -6.38 TD[(A)]TJ/F6 9.96 Tf 10.37 6.88 TD[(\()]TJ/F4 9.96 Tf 3.88 0 TD[(x)]TJ/F5 9.96 Tf 6.04 0 TD[(;)]TJ/F4 9.96 Tf 4.43 0 TD[(x)]TJ/F18 6.97 Tf 6.04 -1.5 TD[(A)]TJ/F5 9.96 Tf 6.49 1.5 TD[(;)-166(!)]TJ/F6 9.96 Tf 10.99 0 TD[(\))]TJ/F5 9.96 Tf 3.87 0 TD[(:)]TJ/F2 9.96 Tf 81.32 0 TD[(\(5\))]TJ ET BT 16.66 -415.2 TD[(The)-325(superscripts)-325(refer)-325(to)-326(the)-325(type)-325(of)-325(observ)14(ed)-325(w)9(a)20(v)15(e)-324(\002eld)-325(at)]TJ/F4 9.96 Tf 244.13 0 TD[(x)]TJ/F2 9.96 Tf 9.29 0 TD[(and)-324(the)-326(source)-325(type)-325(at)]TJ/F4 9.96 Tf 93.08 0 TD[(x)]TJ/F18 6.97 Tf 6.05 -1.49 TD[(A)]TJ/F2 9.96 Tf 6.48 1.49 TD[(,)-344(respecti)24(v)15(ely;)]TJ -359.03 -11.95 TD[(the)-290(subscripts)-290(denote)-291(the)-290(dif)24(ferent)-289(components.)-431(The)]TJ/F6 9.96 Tf 212.53 0 TD[(\()]TJ/F5 9.96 Tf 3.88 0 TD[(k)-31(;)-166(l)]TJ/F6 9.96 Tf 13.09 0 TD[(\))]TJ/F2 9.96 Tf 3.87 0 TD[(-element)-290(of)]TJ/F6 9.96 Tf 50.94 2.55 TD[(^)]TJ/F4 9.96 Tf -2.01 -2.55 TD[(G)]TJ/F2 9.96 Tf 11.9 0 TD[(represents)-290(a)-290(recei)24(v)15(er)20(-type)-289(cor)19(-)]TJ -294.2 -11.95 TD[(responding)-333(to)-334(the)]TJ/F5 9.96 Tf 74.15 0 TD[(k)]TJ/F2 9.96 Tf 5.5 0 TD[(th)-333(element)-333(of)-334(\002eld)-333(v)14(ector)]TJ/F6 9.96 Tf 107.32 0.14 TD[(^)]TJ/F4 9.96 Tf -0.69 -0.14 TD[(u)]TJ/F2 9.96 Tf 9.68 0 TD[(and)-333(a)-334(source-type)-333(corresponding)-334(to)-333(the)]TJ/F5 9.96 Tf 162.1 0 TD[(l)]TJ/F2 9.96 Tf 3.17 0 TD[(th)-333(element)-333(of)]TJ -361.23 -11.95 TD[(source)-250(v)14(ector)]TJ/F6 9.96 Tf 55.49 0.13 TD[(^)]TJ/F4 9.96 Tf 0.23 -0.13 TD[(s)]TJ/F2 9.96 Tf 4.52 0 TD[(.)]TJ/F1 10.96 Tf -60.24 -25.33 TD[(Uni\002ed)-250(Gr)17(een')37(s)-249(function)-250(r)17(etrie)15(v)10(al)-249(by)-250(cr)17(oss-corr)18(elation)]TJ ET BT/F2 9.96 Tf 16.66 -491.42 TD[(Consider)-373(an)-374(arbitrary)-374(spatial)-374(domain)]TJ/F24 9.96 Tf 154.15 0 TD[(D)]TJ/F2 9.96 Tf 10.92 0 TD[(with)-373(boundary)]TJ/F5 9.96 Tf 62.77 0 TD[(@)]TJ/F24 9.96 Tf 5.84 0 TD[(D)]TJ/F2 9.96 Tf 10.92 0 TD[(and)-373(outw)9(ard)-373(pointing)-373(normal)-374(v)14(ector)]TJ/F4 9.96 Tf 151.69 0 TD[(n)]TJ/F6 9.96 Tf 11.41 0 TD[(=)]TJ -407.7 -11.96 TD[(\()]TJ/F5 9.96 Tf 3.88 0 TD[(n)]TJ/F8 6.97 Tf 5.97 -1.49 TD[(1)]TJ/F5 9.96 Tf 4.47 1.49 TD[(;)-166(n)]TJ/F8 6.97 Tf 10.41 -1.49 TD[(2)]TJ/F5 9.96 Tf 4.47 1.49 TD[(;)-166(n)]TJ/F8 6.97 Tf 10.4 -1.49 TD[(3)]TJ/F6 9.96 Tf 4.47 1.49 TD[(\))]TJ/F2 9.96 Tf 6.98 0 TD[(and)-312(de\002ne)-312(tw)9(o)-312(points)]TJ/F4 9.96 Tf 90.36 0 TD[(x)]TJ/F18 6.97 Tf 6.04 -1.49 TD[(A)]TJ/F2 9.96 Tf 9.6 1.49 TD[(and)]TJ/F4 9.96 Tf 17.49 0 TD[(x)]TJ/F18 6.97 Tf 6.05 -1.49 TD[(B)]TJ/F2 9.96 Tf 9.96 1.49 TD[(both)-312(in)]TJ/F24 9.96 Tf 31.68 0 TD[(D)]TJ/F2 9.96 Tf 7.2 0 TD[(.)-496(The)-312(general)-312(e)14(xpression)-312(for)-312(Green')54(s)-311(function)]TJ -229.43 -11.95 TD[(retrie)24(v)25(al)-249(by)-250(cross-correlation)-250(reads)]TJ/F6 9.96 Tf 26.46 -22.14 TD[(^)]TJ/F4 9.96 Tf -2.02 -2.55 TD[(G)]TJ/F6 9.96 Tf 9.01 0 TD[(\()]TJ/F4 9.96 Tf 3.87 0 TD[(x)]TJ/F18 6.97 Tf 6.05 -1.49 TD[(B)]TJ/F5 9.96 Tf 6.85 1.49 TD[(;)]TJ/F4 9.96 Tf 4.43 0 TD[(x)]TJ/F18 6.97 Tf 6.04 -1.49 TD[(A)]TJ/F5 9.96 Tf 6.49 1.49 TD[(;)-166(!)]TJ/F6 9.96 Tf 10.99 0 TD[(\))-221(+)]TJ 18.06 2.55 TD[(^)]TJ/F4 9.96 Tf -2.02 -2.55 TD[(G)]TJ/F19 6.97 Tf 9.01 4.11 TD[(y)]TJ/F6 9.96 Tf 4.15 -4.11 TD[(\()]TJ/F4 9.96 Tf 3.87 0 TD[(x)]TJ/F18 6.97 Tf 6.05 -1.49 TD[(A)]TJ/F5 9.96 Tf 6.48 1.49 TD[(;)]TJ/F4 9.96 Tf 4.43 0 TD[(x)]TJ/F18 6.97 Tf 6.05 -1.49 TD[(B)]TJ/F5 9.96 Tf 6.85 1.49 TD[(;)-166(!)]TJ/F6 9.96 Tf 10.98 0 TD[(\))-278(=)]TJ/F9 9.96 Tf -99.3 -20.03 TD[(\241)]TJ/F21 9.96 Tf 9.41 13.56 TD[(I)]TJ/F18 6.97 Tf 5.53 -22.64 TD[(@)]TJ/F25 6.97 Tf 4.68 0 TD[(D)]TJ/F6 9.96 Tf 9.21 11.62 TD[(^)]TJ/F4 9.96 Tf -2.01 -2.54 TD[(G)]TJ/F6 9.96 Tf 9 0 TD[(\()]TJ/F4 9.96 Tf 3.88 0 TD[(x)]TJ/F18 6.97 Tf 6.04 -1.49 TD[(B)]TJ/F5 9.96 Tf 6.86 1.49 TD[(;)]TJ/F4 9.96 Tf 4.42 0 TD[(x)]TJ/F5 9.96 Tf 6.05 0 TD[(;)-166(!)]TJ/F6 9.96 Tf 10.98 0 TD[(\))]TJ 6.82 2.54 TD[(^)]TJ/F4 9.96 Tf -2.94 -2.54 TD[(M)]TJ/F8 6.97 Tf 10.87 -1.49 TD[(5)]TJ/F6 9.96 Tf 6.48 4.03 TD[(^)]TJ/F4 9.96 Tf -2.01 -2.54 TD[(G)]TJ/F19 6.97 Tf 9 4.11 TD[(y)]TJ/F6 9.96 Tf 4.15 -4.11 TD[(\()]TJ/F4 9.96 Tf 3.87 0 TD[(x)]TJ/F18 6.97 Tf 6.05 -1.49 TD[(A)]TJ/F5 9.96 Tf 6.49 1.49 TD[(;)]TJ/F4 9.96 Tf 4.42 0 TD[(x)]TJ/F5 9.96 Tf 6.05 0 TD[(;)-166(!)]TJ/F6 9.96 Tf 10.98 0 TD[(\))-166(d)]TJ/F8 6.97 Tf 11.07 4.11 TD[(2)]TJ/F4 9.96 Tf 4.47 -4.11 TD[(x)]TJ/F6 9.96 Tf 8.26 0 TD[(+)]TJ/F21 9.96 Tf 9.96 13.56 TD[(Z)]TJ/F25 6.97 Tf 5.53 -22.64 TD[(D)]TJ/F6 9.96 Tf 9.2 11.62 TD[(^)]TJ/F4 9.96 Tf -2.01 -2.54 TD[(G)]TJ/F6 9.96 Tf 9.01 0 TD[(\()]TJ/F4 9.96 Tf 3.87 0 TD[(x)]TJ/F18 6.97 Tf 6.05 -1.49 TD[(B)]TJ/F5 9.96 Tf 6.85 1.49 TD[(;)]TJ/F4 9.96 Tf 4.43 0 TD[(x)]TJ/F5 9.96 Tf 6.04 0 TD[(;)-166(!)]TJ/F6 9.96 Tf 10.99 0 TD[(\))]TJ 6.82 2.54 TD[(^)]TJ/F4 9.96 Tf -2.95 -2.54 TD[(M)]TJ/F8 6.97 Tf 10.87 -1.49 TD[(6)]TJ/F6 9.96 Tf 6.48 4.03 TD[(^)]TJ/F4 9.96 Tf -2.01 -2.54 TD[(G)]TJ/F19 6.97 Tf 9.01 4.11 TD[(y)]TJ/F6 9.96 Tf 4.15 -4.11 TD[(\()]TJ/F4 9.96 Tf 3.87 0 TD[(x)]TJ/F18 6.97 Tf 6.04 -1.49 TD[(A)]TJ/F5 9.96 Tf 6.49 1.49 TD[(;)]TJ/F4 9.96 Tf 4.43 0 TD[(x)]TJ/F5 9.96 Tf 6.04 0 TD[(;)-167(!)]TJ/F6 9.96 Tf 10.99 0 TD[(\))-166(d)]TJ/F8 6.97 Tf 11.06 4.11 TD[(3)]TJ/F4 9.96 Tf 4.47 -4.11 TD[(x)]TJ ET 0.00 0.00 0.00 1.00 k 0.00 0.00 0.00 1.00 K BT/F2 9.96 Tf 420.49 -560.05 TD[(\(6\))]TJ ET 0.00 g 0.00 G BT 16.66 -592.32 TD[(\(W)79(apenaar)]TJ/F3 9.96 Tf 45.37 0 TD[(et)-248(al.)]TJ/F2 9.96 Tf 22.37 0 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Tf 8.85 0 TD[(j)]TJ/F9 9.96 Tf 4.68 0 TD[(=)]TJ/F6 9.96 Tf 7.19 0 TD[(\()]TJ 5.71 2.54 TD[(^)]TJ/F4 9.96 Tf -1.84 -2.54 TD[(A)]TJ/F6 9.96 Tf 8.66 0 TD[(\))-216(+)]TJ 17.52 2.54 TD[(^)]TJ/F4 9.96 Tf -1.58 -2.54 TD[(B)]TJ/F6 9.96 Tf 10.3 0 TD[(+)]TJ 11.49 2.54 TD[(^)]TJ/F4 9.96 Tf -1.58 -2.54 TD[(B)]TJ/F19 6.97 Tf 8.15 3.61 TD[(y)]TJ/F2 9.96 Tf 4.15 -3.61 TD[(,)]TJ -412.96 -11.96 TD[(where)]TJ/F10 9.96 Tf 27.41 0 TD[(r)]TJ/F9 9.96 Tf -0.21 -4.94 TD[(\303)777(\241)]TJ/F2 9.96 Tf 12.83 4.94 TD[(acts)-287(on)-288(the)-288(quantity)-288(left)-288(of)-288(it,)-297(superscript)]TJ/F9 9.96 Tf 166.6 0 TD[(y)]TJ/F2 9.96 Tf 7.3 0 TD[(denotes)-287(transposition)-288(and)-288(comple)14(x)-287(conjug)4(ation,)]TJ/F9 9.96 Tf 194.32 0 TD[(=)]TJ/F2 9.96 Tf -408.25 -11.95 TD[(denotes)-275(the)-275(imaginary)-275(part,)-282(and)]TJ/F4 9.96 Tf 129.12 0 TD[(N)]TJ/F7 6.97 Tf 8.96 -1.49 TD[(x)]TJ/F2 9.96 Tf 8 1.49 TD[(is)-275(a)-275(matrix)-275(de\002ned)-275(similar)-276(as)]TJ/F4 9.96 Tf 118.8 0 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6.05 3.62 TD[(0)]TJ/F5 9.96 Tf 2.79 -3.62 TD[(;)-166(!)]TJ/F6 9.96 Tf 10.98 0 TD[(\))]TJ 3.65 0.14 TD[(^)]TJ/F4 9.96 Tf 0.23 -0.14 TD[(s)]TJ/F19 6.97 Tf 4.52 3.62 TD[(y)]TJ/F6 9.96 Tf 4.15 -3.62 TD[(\()]TJ/F4 9.96 Tf 3.87 0 TD[(x)]TJ/F5 9.96 Tf 6.04 0 TD[(;)-167(!)]TJ/F6 9.96 Tf 10.99 0 TD[(\))]TJ/F9 9.96 Tf 3.87 0 TD[(i)]TJ/F6 9.96 Tf 8.8 0 TD[(=)]TJ 13.52 2.63 TD[(^)]TJ/F20 9.96 Tf -0.85 -2.63 TD[(\270)]TJ/F6 9.96 Tf 6.68 0 TD[(\()]TJ/F4 9.96 Tf 3.87 0 TD[(x)]TJ/F5 9.96 Tf 6.05 0 TD[(;)-166(!)]TJ/F6 9.96 Tf 10.98 0 TD[(\))]TJ/F5 9.96 Tf 3.87 0 TD[(\261)]TJ/F6 9.96 Tf 4.81 0 TD[(\()]TJ/F4 9.96 Tf 3.87 0 TD[(x)]TJ/F9 9.96 Tf 9.12 0 TD[(\241)]TJ/F4 9.96 Tf 10.82 0 TD[(x)]TJ/F19 6.97 Tf 6.05 3.62 TD[(0)]TJ/F6 9.96 Tf 2.79 -3.62 TD[(\))]TJ 5.56 2.52 TD[(^)]TJ/F5 9.96 Tf -1.68 -2.52 TD[(S)]TJ/F6 9.96 Tf 6.68 0 TD[(\()]TJ/F5 9.96 Tf 3.87 0 TD[(!)]TJ/F6 9.96 Tf 6.56 0 TD[(\))]TJ/F2 9.96 Tf 3.87 0 TD[(,)-396(where)]TJ/F9 9.96 Tf 34.42 0 TD[(h\242i)]TJ/F2 9.96 Tf 14.17 0 TD[(denotes)-367(a)-367(spatial)-366(ensemble)]TJ -306.01 -13.03 TD[(a)19(v)15(erage,)]TJ/F6 9.96 Tf 36.95 2.52 TD[(^)]TJ/F5 9.96 Tf -1.68 -2.52 TD[(S)]TJ/F6 9.96 Tf 6.69 0 TD[(\()]TJ/F5 9.96 Tf 3.87 0 TD[(!)]TJ/F6 9.96 Tf 6.56 0 TD[(\))]TJ/F2 9.96 Tf 5.95 0 TD[(the)-209(po)24(wer)-208(spectrum)-209(of)-209(the)-209(noise,)-217(and)]TJ/F6 9.96 Tf 147.2 2.63 TD[(^)]TJ/F20 9.96 Tf -0.85 -2.63 TD[(\270)]TJ/F6 9.96 Tf 6.68 0 TD[(\()]TJ/F4 9.96 Tf 3.87 0 TD[(x)]TJ/F5 9.96 Tf 6.05 0 TD[(;)-166(!)]TJ/F6 9.96 Tf 10.98 0 TD[(\))]TJ/F2 9.96 Tf 5.96 0 TD[(is)-208(a)-209(diagonal)-210(matrix)-209(containing)-209(the)-209(e)14(xcitation)]TJ -238.23 -12.94 TD[(functions.)-298(W)79(e)-215(e)14(xpress)-214(the)-216(observ)14(ed)-214(\002eld)-215(v)14(ector)-215(at)]TJ/F4 9.96 Tf 197.92 0 TD[(x)]TJ/F18 6.97 Tf 6.04 -1.5 TD[(A)]TJ/F2 9.96 Tf 8.64 1.5 TD[(as)]TJ/F6 9.96 Tf 11.13 0.13 TD[(^)]TJ/F4 9.96 Tf -0.69 -0.13 TD[(u)]TJ/F8 6.97 Tf 6.36 3.61 TD[(obs)]TJ/F6 9.96 Tf 12.02 -3.61 TD[(\()]TJ/F4 9.96 Tf 3.88 0 TD[(x)]TJ/F18 6.97 Tf 6.04 -1.5 TD[(A)]TJ/F5 9.96 Tf 6.49 1.5 TD[(;)-166(!)]TJ/F6 9.96 Tf 10.98 0 TD[(\))-278(=)]TJ/F21 9.96 Tf 17.16 8.02 TD[(R)]TJ/F25 6.97 Tf 4.7 -11.57 TD[(D)]TJ/F6 9.96 Tf 9.21 6.09 TD[(^)]TJ/F4 9.96 Tf -2.02 -2.54 TD[(G)]TJ/F6 9.96 Tf 9.01 0 TD[(\()]TJ/F4 9.96 Tf 3.87 0 TD[(x)]TJ/F18 6.97 Tf 6.05 -1.5 TD[(A)]TJ/F5 9.96 Tf 6.49 1.5 TD[(;)]TJ/F4 9.96 Tf 4.42 0 TD[(x)]TJ/F5 9.96 Tf 6.05 0 TD[(;)-166(!)]TJ/F6 9.96 Tf 10.98 0 TD[(\))]TJ 3.64 0.13 TD[(^)]TJ/F4 9.96 Tf 0.23 -0.13 TD[(s)]TJ/F6 9.96 Tf 4.52 0 TD[(\()]TJ/F4 9.96 Tf 3.88 0 TD[(x)]TJ/F5 9.96 Tf 6.04 0 TD[(;)-166(!)]TJ/F6 9.96 Tf 10.98 0 TD[(\))-167(d)]TJ/F8 6.97 Tf 11.07 3.61 TD[(3)]TJ/F4 9.96 Tf 4.47 -3.61 TD[(x)]TJ/F2 9.96 Tf 8.19 0 TD[([and)]TJ -397.75 -13 TD[(a)-250(similar)-250(e)14(xpression)-249(for)]TJ/F6 9.96 Tf 96.81 0.14 TD[(^)]TJ/F4 9.96 Tf -0.69 -0.14 TD[(u)]TJ/F8 6.97 Tf 6.36 3.62 TD[(obs)]TJ/F6 9.96 Tf 12.02 -3.62 TD[(\()]TJ/F4 9.96 Tf 3.87 0 TD[(x)]TJ/F18 6.97 Tf 6.05 -1.49 TD[(B)]TJ/F5 9.96 Tf 6.85 1.49 TD[(;)-167(!)]TJ/F6 9.96 Tf 10.99 0 TD[(\))]TJ/F2 9.96 Tf 3.87 0 TD[(].)-310(Ev)24(aluating)-249(the)-250(cross-correlation)-250(of)-250(the)-250(observ)14(ed)-249(\002elds)-250(yields)]TJ/F9 9.96 Tf -91.66 -22.83 TD[(h)]TJ/F6 9.96 Tf 4.56 0.14 TD[(^)]TJ/F4 9.96 Tf -0.69 -0.14 TD[(u)]TJ/F8 6.97 Tf 6.36 4.11 TD[(obs)]TJ/F6 9.96 Tf 12.02 -4.11 TD[(\()]TJ/F4 9.96 Tf 3.88 0 TD[(x)]TJ/F18 6.97 Tf 6.04 -1.5 TD[(B)]TJ/F5 9.96 Tf 6.86 1.5 TD[(;)-166(!)]TJ/F6 9.96 Tf 10.98 0 TD[(\))]TJ/F9 9.96 Tf 3.88 0 TD[(f)]TJ/F6 9.96 Tf 5.67 0.14 TD[(^)]TJ/F4 9.96 Tf -0.7 -0.14 TD[(u)]TJ/F8 6.97 Tf 6.37 4.11 TD[(obs)]TJ/F6 9.96 Tf 12.02 -4.11 TD[(\()]TJ/F4 9.96 Tf 3.87 0 TD[(x)]TJ/F18 6.97 Tf 6.05 -1.5 TD[(A)]TJ/F5 9.96 Tf 6.49 1.5 TD[(;)-166(!)]TJ/F6 9.96 Tf 10.98 0 TD[(\))]TJ/F9 9.96 Tf 3.87 0 TD[(g)]TJ/F19 6.97 Tf 4.98 4.11 TD[(y)]TJ/F9 9.96 Tf 4.15 -4.11 TD[(i)]TJ/F6 9.96 Tf 6.64 0 TD[(=)]TJ/F21 9.96 Tf 10.52 13.55 TD[(Z)]TJ/F25 6.97 Tf 5.53 -22.63 TD[(D)]TJ/F6 9.96 Tf 9.21 11.62 TD[(^)]TJ/F4 9.96 Tf -2.02 -2.54 TD[(G)]TJ/F6 9.96 Tf 9.01 0 TD[(\()]TJ/F4 9.96 Tf 3.87 0 TD[(x)]TJ/F18 6.97 Tf 6.05 -1.5 TD[(B)]TJ/F5 9.96 Tf 6.85 1.5 TD[(;)]TJ/F4 9.96 Tf 4.43 0 TD[(x)]TJ/F5 9.96 Tf 6.04 0 TD[(;)-167(!)]TJ/F6 9.96 Tf 10.99 0 TD[(\))]TJ 4.72 2.62 TD[(^)]TJ/F20 9.96 Tf -0.85 -2.62 TD[(\270)]TJ/F6 9.96 Tf 6.68 0 TD[(\()]TJ/F4 9.96 Tf 3.88 0 TD[(x)]TJ/F5 9.96 Tf 6.04 0 TD[(;)-166(!)]TJ/F6 9.96 Tf 10.98 0 TD[(\))]TJ 5.89 2.54 TD[(^)]TJ/F4 9.96 Tf -2.01 -2.54 TD[(G)]TJ/F19 6.97 Tf 9 4.11 TD[(y)]TJ/F6 9.96 Tf 4.15 -4.11 TD[(\()]TJ/F4 9.96 Tf 3.88 0 TD[(x)]TJ/F18 6.97 Tf 6.04 -1.5 TD[(A)]TJ/F5 9.96 Tf 6.49 1.5 TD[(;)]TJ/F4 9.96 Tf 4.43 0 TD[(x)]TJ/F5 9.96 Tf 6.04 0 TD[(;)-166(!)]TJ/F6 9.96 Tf 10.98 0 TD[(\))]TJ 5.56 2.51 TD[(^)]TJ/F5 9.96 Tf -1.68 -2.51 TD[(S)]TJ/F6 9.96 Tf 6.68 0 TD[(\()]TJ/F5 9.96 Tf 3.87 0 TD[(!)]TJ/F6 9.96 Tf 6.56 0 TD[(\))-166(d)]TJ/F8 6.97 Tf 11.07 4.11 TD[(3)]TJ/F4 9.96 Tf 4.46 -4.11 TD[(x)]TJ/F5 9.96 Tf 6.05 0 TD[(:)]TJ ET 0.00 0.00 0.00 1.00 k 0.00 0.00 0.00 1.00 K BT/F2 9.96 Tf 421.68 -389.32 TD[(\(8\))]TJ ET 0.00 g 0.00 G BT 17.85 -411.98 TD[(Comparing)-250(this)-250(with)-250(the)-250(right-hand)-250(side)-250(of)-250(equation)-250(\(6\))-250(\(with)-250(v)24(anishing)-249(boundary)-250(inte)14(gral\),)-249(we)-250(obtain)]TJ/F9 9.96 Tf 67.67 -17.74 TD[(f)]TJ/F6 9.96 Tf 6.99 2.54 TD[(^)]TJ/F4 9.96 Tf -2.01 -2.54 TD[(G)]TJ/F6 9.96 Tf 9.01 0 TD[(\()]TJ/F4 9.96 Tf 3.87 0 TD[(x)]TJ/F18 6.97 Tf 6.05 -1.5 TD[(B)]TJ/F5 9.96 Tf 6.85 1.5 TD[(;)]TJ/F4 9.96 Tf 4.43 0 TD[(x)]TJ/F18 6.97 Tf 6.04 -1.5 TD[(A)]TJ/F5 9.96 Tf 6.49 1.5 TD[(;)-166(!)]TJ/F6 9.96 Tf 10.98 0 TD[(\))-222(+)]TJ 18.06 2.54 TD[(^)]TJ/F4 9.96 Tf -2.01 -2.54 TD[(G)]TJ/F19 6.97 Tf 9.01 4.11 TD[(y)]TJ/F6 9.96 Tf 4.15 -4.11 TD[(\()]TJ/F4 9.96 Tf 3.87 0 TD[(x)]TJ/F18 6.97 Tf 6.04 -1.5 TD[(A)]TJ/F5 9.96 Tf 6.49 1.5 TD[(;)]TJ/F4 9.96 Tf 4.43 0 TD[(x)]TJ/F18 6.97 Tf 6.04 -1.5 TD[(B)]TJ/F5 9.96 Tf 6.86 1.5 TD[(;)-166(!)]TJ/F6 9.96 Tf 10.98 0 TD[(\))]TJ/F9 9.96 Tf 3.88 0 TD[(g)]TJ/F6 9.96 Tf 6.66 2.51 TD[(^)]TJ/F5 9.96 Tf -1.68 -2.51 TD[(S)]TJ/F6 9.96 Tf 6.68 0 TD[(\()]TJ/F5 9.96 Tf 3.87 0 TD[(!)]TJ/F6 9.96 Tf 6.56 0 TD[(\))-277(=)]TJ/F9 9.96 Tf 17.15 0 TD[(h)]TJ/F6 9.96 Tf 4.57 0.13 TD[(^)]TJ/F4 9.96 Tf -0.7 -0.13 TD[(u)]TJ/F8 6.97 Tf 6.37 4.11 TD[(obs)]TJ/F6 9.96 Tf 12.02 -4.11 TD[(\()]TJ/F4 9.96 Tf 3.87 0 TD[(x)]TJ/F18 6.97 Tf 6.05 -1.5 TD[(B)]TJ/F5 9.96 Tf 6.85 1.5 TD[(;)-166(!)]TJ/F6 9.96 Tf 10.99 0 TD[(\))]TJ/F9 9.96 Tf 3.87 0 TD[(f)]TJ/F6 9.96 Tf 5.67 0.13 TD[(^)]TJ/F4 9.96 Tf -0.69 -0.13 TD[(u)]TJ/F8 6.97 Tf 6.36 4.11 TD[(obs)]TJ/F6 9.96 Tf 12.03 -4.11 TD[(\()]TJ/F4 9.96 Tf 3.87 0 TD[(x)]TJ/F18 6.97 Tf 6.04 -1.5 TD[(A)]TJ/F5 9.96 Tf 6.49 1.5 TD[(;)-166(!)]TJ/F6 9.96 Tf 10.99 0 TD[(\))]TJ/F9 9.96 Tf 3.87 0 TD[(g)]TJ/F19 6.97 Tf 4.98 4.11 TD[(y)]TJ/F9 9.96 Tf 4.15 -4.11 TD[(i)]TJ/F5 9.96 Tf 3.87 0 TD[(;)]TJ ET 0.00 0.00 0.00 1.00 k 0.00 0.00 0.00 1.00 K BT/F2 9.96 Tf 421.68 -429.72 TD[(\(9\))]TJ ET 0.00 g 0.00 G BT 17.85 -448.55 TD[(assuming)]TJ/F6 9.96 Tf 40.59 2.63 TD[(^)]TJ/F20 9.96 Tf -0.85 -2.63 TD[(\270)]TJ/F6 9.96 Tf 6.68 0 TD[(\()]TJ/F4 9.96 Tf 3.87 0 TD[(x)]TJ/F5 9.96 Tf 6.05 0 TD[(;)-166(!)]TJ/F6 9.96 Tf 10.98 0 TD[(\))-277(=)]TJ 20.1 2.55 TD[(^)]TJ/F4 9.96 Tf -2.95 -2.55 TD[(M)]TJ/F8 6.97 Tf 10.88 -1.49 TD[(6)]TJ/F6 9.96 Tf 4.47 1.49 TD[(\()]TJ/F4 9.96 Tf 3.87 0 TD[(x)]TJ/F5 9.96 Tf 6.04 0 TD[(;)-167(!)]TJ/F6 9.96 Tf 10.99 0 TD[(\))]TJ/F2 9.96 Tf 3.87 0 TD[(.)-297(Hence,)-219(for)-211(t)-1(hose)-211(situations)-212(in)-211(which)]TJ/F6 9.96 Tf 151.96 2.55 TD[(^)]TJ/F4 9.96 Tf -2.95 -2.55 TD[(M)]TJ/F8 6.97 Tf 10.87 -1.49 TD[(6)]TJ/F2 9.96 Tf 6.58 1.49 TD[(is)-211(a)-211(diagonal)-212(matrix)-211(with)-212(one)-211(o)-1(r)]TJ -291.05 -11.95 TD[(more)-230(non-zero)-230(elements)-230(\(e.g.)-304(for)-230(scalar)-230(dif)24(fusion)-230(or)-230(acoustic)-230(w)9(a)20(v)15(e)-229(propag)4(ation)-229(in)-231(an)-230(attenuating)-230(medium)]TJ 0 -11.95 TD[(with)-210(either)-210(real-v)24(alued)]TJ/F6 9.96 Tf 93.05 2.54 TD[(^)]TJ/F4 9.96 Tf -1.83 -2.54 TD[(A)]TJ/F2 9.96 Tf 10.75 0 TD[(or)-209(zero)-210(\003o)24(w)-209(v)14(elocity)]TJ/F4 9.96 Tf 83.2 0 TD[(v)]TJ/F8 6.97 Tf 6.21 3.61 TD[(0)]TJ/F2 9.96 Tf 4.46 -3.61 TD[(,)-218(for)-210(electromagnetic)-210(dif)24(fusion)-209(and/or)-210(w)9(a)20(v)15(e)-209(propag)4(ation)]TJ -195.84 -11.95 TD[(in)-268(a)-267(non-mo)14(ving)-267(isotropic)-268(attenuating)-268(medium)-267(and,)-273(under)-267(particular)-268(conditions,)-272(for)-268(electroseismic)-268(w)9(a)20(v)15(e)]TJ 0 -11.95 TD[(propag)4(ation)-195(in)-195(an)-196(isotropic)-196(porous)-195(medium\),)-207(the)-196(Green')54(s)-195(matrix)-195(between)]TJ/F4 9.96 Tf 287.05 0 TD[(x)]TJ/F18 6.97 Tf 6.04 -1.5 TD[(A)]TJ/F2 9.96 Tf 8.44 1.5 TD[(and)]TJ/F4 9.96 Tf 16.33 0 TD[(x)]TJ/F18 6.97 Tf 6.04 -1.5 TD[(B)]TJ/F2 9.96 Tf 8.81 1.5 TD[(can)-195(be)-196(obtained)-196(from)]TJ -332.71 -11.96 TD[(the)-316(cross-correlation)-316(of)-316(observ)24(ations)-314(at)-316(those)-316(points,)-333(assuming)-316(that)-315(a)-316(distrib)19(ution)-315(of)-316(uncorrelated)-316(noise)]TJ 0 -11.95 TD[(sources)-372(is)-372(present)-373(throughout)]TJ/F24 9.96 Tf 123.82 0 TD[(D)]TJ/F2 9.96 Tf 7.2 0 TD[(,)-402(with)-372(e)14(xcitation)-372(function\(s\))-372(proportional)-372(to)-372(the)-373(local)-372(loss)-372(function\(s\))]TJ -131.02 -11.95 TD[(on)-353(the)-353(diagonal)-354(of)]TJ/F6 9.96 Tf 81.75 2.55 TD[(^)]TJ/F4 9.96 Tf -2.94 -2.55 TD[(M)]TJ/F8 6.97 Tf 10.87 -1.49 TD[(6)]TJ/F2 9.96 Tf 4.47 1.49 TD[(.)-619(The)-354(continuous)-353(injection)-353(of)-354(ener)17(gy)-352(throughout)]TJ/F24 9.96 Tf 202.77 0 TD[(D)]TJ/F2 9.96 Tf 10.71 0 TD[(is)-353(needed)-353(to)-353(o)14(v)15(ercome)-353(the)]TJ -307.63 -11.95 TD[(dissipation)-250(\(Snieder)]TJ/F3 9.96 Tf 81.89 0 TD[(et)-250(al.)]TJ/F2 9.96 Tf 22.41 0 TD[(,)-250(2006\).)]TJ ET 0.00 0.00 0.00 1.00 k 0.00 0.00 0.00 1.00 K q 0.394598 0 0 0.394598 83.88 -729.90 cm /Im5 Do Q BT/F3 9.96 Tf 17.85 -688.47 TD[(F)44(igur)37(e)-414(2:)]TJ/F3 8.96 Tf 45.11 0 TD[(Interfer)44(ometry)-414(with)-416(uncorr)36(elated)-414(noise)-415(sour)36(ces)-415(thr)44(oughout)-414(space)-415(in)-416(a)-415(dissipative)9(,)-456(possibly)-415(\003owing)9(,)]TJ -45.11 -10.96 TD[(medium)-250(\(Application)-250(2\).)-310(The)-250(volume)-250(distrib)19(ution)-249(of)-250(sour)36(ces)-249(compensates)-250(for)-250(the)-250(dissipation)-250(\(Snieder)]TJ/F2 8.96 Tf 364.54 0 TD[(et)-250(al.)]TJ/F3 8.96 Tf 19.67 0 TD[(,)-249(2006\).)]TJ ET 0.00 g 0.00 G 0.00 0.00 0.00 1.00 k 0.00 0.00 0.00 1.00 K 0.00 0.00 0.00 rg 0.00 0.00 0.00 RG 1 w 17.85 -725.39 m 433.3 -725.39 l S 0.00 0.00 0.00 1.00 k 0.00 0.00 0.00 1.00 K 0.00 0.00 0.00 rg 0.00 0.00 0.00 RG BT/F22 8.96 Tf 86.08 -737.84 TD[(EAGE)-277(69)]TJ/F23 4.98 Tf 37.33 3.81 TD[(th)]TJ/F22 8.96 Tf 7.13 -3.81 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TD[(Campillo,)-250(M.,)-250(and)-250(P)14(aul,)-249(A.)-250([2003])-360(Long-range)-250(correlations)-250(in)-250(the)-250(dif)24(fuse)-249(seismic)-250(coda.)]TJ/F3 7.97 Tf 280.49 0 TD[(Science)]TJ/F2 7.97 Tf 26.33 0 TD[(299,)-250(547\226549.)]TJ ET 0.00 0.00 0.00 1.00 k 0.00 0.00 0.00 1.00 K 0.00 g 0.00 G BT 16.66 -409.25 TD[(Drag)4(ano)15(v)65(,)-381(D.,)-382(W)79(apenaar)40(,)-381(K.,)-382(and)-355(Thorbeck)9(e,)-381(J.)-356([2006])-697(Seismic)-356(interferometry:)-521(reconstructing)-355(the)-356(Earth')54(s)-354(re\003ection)-356(response.)]TJ/F3 7.97 Tf 9.96 -9.46 TD[(Geophysics)]TJ/F2 7.97 Tf 38.73 0 TD[(71,)-249(SI61\226SI70.)]TJ ET 0.00 0.00 0.00 1.00 k 0.00 0.00 0.00 1.00 K 0.00 g 0.00 G BT 16.66 -434.28 TD[(Godin,)-259(O.)-257(A.)-257([2006])-383(Reco)14(v)15(ering)-256(the)-257(acoustic)-257(Green')54(s)-256(function)-257(from)-257(ambient)-257(noise)-257(cross)-258(correlation)-257(in)-257(an)-257(inhomogeneous)-257(mo)14(ving)]TJ 9.96 -9.46 TD[(medium.)]TJ/F3 7.97 Tf 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TD[(W)79(apenaar)40(,)-249(K.)-250([2006b])-360(Non-reciprocal)-250(Green')54(s)-249(function)-250(retrie)24(v)25(al)-249(by)-250(cross-correlation.)]TJ/F3 7.97 Tf 275.2 0 TD[(J)24(.)-249(Acoust.)-250(Soc.)-250(Am.)]TJ/F2 7.97 Tf 63.09 0 TD[(120,)-250(EL7\226EL13.)]TJ ET 0.00 0.00 0.00 1.00 k 0.00 0.00 0.00 1.00 K 0.00 g 0.00 G BT 16.66 -625.06 TD[(W)79(apenaar)40(,)-227(K.,)-228(and)-222(F)14(okk)10(ema,)-227(J.)-222([2004])-300(Reciprocity)-222(theorems)-223(for)-222(dif)24(fusion,)-227(\003o)24(w)-221(and)-223(w)9(a)20(v)15(es.)]TJ/F3 7.97 Tf 290.06 0 TD[(A.S.M.E.)-222(J)24(ournal)-221(of)-223(Applied)-222(Mec)14(hanics)]TJ/F2 7.97 Tf -280.1 -9.47 TD[(71,)-250(145\226150.)]TJ ET 0.00 0.00 0.00 1.00 k 0.00 0.00 0.00 1.00 K 0.00 g 0.00 G BT 16.66 -650.1 TD[(W)79(apenaar)40(,)-249(K.,)-250(and)-250(F)14(okk)10(ema,)-249(J.)-250([2006])-360(Green')54(s)-249(function)-250(representations)-250(for)-250(seismic)-250(interferometry)64(.)]TJ/F3 7.97 Tf 318.28 0 TD[(Geophysics)]TJ/F2 7.97 Tf 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