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lecture6

lecture6 - Lecture 6 Expression of field Superposition of...

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Lecture 6 Expression of field Superposition of waves 1. 1 = 2 2. 1   2 3. Waves of several frequencies Phase and group velocities

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Expression of field E (x,y,z;t)= E o (x,y,z) cos ( t k r + ) or E (x,y,z;t)= E o (x,y,z) sin ( t k r + ) Direction and amplitude of fields, Vector E o , V/m Frequency , f in Hz, =2 f, in rad/s Direction of propagation , vector k Phase ,  in radians Irradiance , = < S > =(1/2)c o | E o | 2 , W/m 2
E 1 =E o1 sin( 1 t k 1 x   1 ) , < E 1 2 > = (1/2) E o1 2 E 2 =E o2 sin( 2 t – k 2 x + 2 ), < E 2 2 > = (1/2) E o2 2 E t = E 1 + E 2, < E t 2 > =? Superposition of two fields Two sinusoidal fields

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