Circuit-slide-20

Circuit-slide-20 - For a uniform plane wave with general...

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For a uniform plane wave with general orientation , the direction of propagation is identified by the propagation vector , normal to the phase planes Considering the position vector we have the scalar dot product
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Plane Waves in Arbitrary Directions ) cos( )) ) sin ( ) cos ( cos( )) sin cos ( cos( ) ' cos( sin cos ' z x t E z x t E z x t E z t E z x z z x o o o o β ϖ θ - - = - - = + - = - + = z x Source is normal to z z ) cos( z t E o ϖ- z x Source is normal to z’ z’ θ zsinθ θ z x xcos θ ) cos( z y x t E z y x o - - - ) . cos( r t E o Arbitrary source Introduce propagation vector
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For a uniform plane wave with general orientation , the direction of propagation is identified by the propagation vector , normal to the phase planes Considering the position vector we have the scalar dot product
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electromagnetic fields of a plane wave propagating along a general direction are on the phase plane perpendicular to the
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This note was uploaded on 03/09/2012 for the course ECE 450 taught by Professor E.kudeki during the Spring '12 term at Illinois College.

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Circuit-slide-20 - For a uniform plane wave with general...

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