Electromagnetic Theory And Geometrical Optics

Cover Electromagnetic Theory And Geometrical Optics
Electromagnetic Theory And Geometrical Optics
Morris Kline
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We may express the thought of the preceding paragraph in terms of the pure space picture (Fig. 3). At any point (x, y) on the wave front to =ijj(x, y)/c and at the time to, E, H, E^, _H ^, . . . Are dis- continuous as functions of t . However, for t > to and for points (x, y) on this wave front E and H are not zero and may be expressed as Taylor's series in powers of t-to • Thus under either interpretation we have the expansions E(x, y, t) =E(x, y, to) + E t( x, y, to ) ( t-to ) + E tt( x, y, t
...o )^-^y^ + - • • for t > to ; E(x, y, t) - for t -^ ; c E{x, y, t) =0 for t

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