Engineering and Applied Sciences Applied Physics 216 Lecture 19: Lecture 19
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Ap 216 lecture 19 time dependent fields green"s functions for scalar wave equations and maxwell field equations (jefimenko equations) We have already manipulated the me to generate several equations which have the form (cid:146) (cid:71) x t. 2 c where is a scalar field or one of the components of a vector field and f is considered the source of the field . 4 is convention that really doesn"t belong here. 2 (cid:119) (cid:77) (cid:85) (cid:119) (cid:15)(cid:139) t (cid:119) (cid:119) t (cid:71) B (cid:119) t (cid:71) (cid:146) (cid:152) (cid:14) (cid:71) Note wave equations are not independent of one another. Return to equation (1) and consider instead the equation with the impulsive source term. 4 (cid:71) x (cid:16) (cid:71) x (cid:71) t (cid:16) t (6) G x x t t is the value of at where t". The linearity of equation (1) implies x (cid:112), t due to an impulsive source that fires at x (cid:112)",