chp38_11 - = r r r Thus let, z t x B t x B z &...

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PHY2061 R. D. Field Department of Physics chp38_11.doc University of Florida Light Propagating in Empty Space Since there are no charges and no current in empty space, ρ = 0 and J = 0, and Maxwell&s Equations take the form: (1) t B E = × r r r (2) t E B = × r r r 0 0 ε µ with 0 = E r r and 0 = B r r . Look for a solution of the form: y t x E t x E y ) , ( ) , ( = r Equation (1) implies that z x E t x E z y x z y x E t B y y & 0 ) , ( 0 = = ×
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Unformatted text preview: = r r r Thus let, z t x B t x B z & ) , ( ) , ( = r and equation (2) gives y x B B z y x z y x B t E z z & & & & = = = r r r Coupled Differential Equations for E B: x B t E x E t B z y y z = = x-axis y-axis z-axis E B...
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