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Wave Propagation in Linear Media | re-examined

Wave Propagation in Linear Media | re-examined

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Interlude<br />

whatsoever. Consequently the <strong>in</strong>terfe<strong>re</strong>nce peaks <strong>in</strong> front of the <strong>in</strong>terface can grow higher<br />

than its top without swash<strong>in</strong>g over it.<br />

The even pages depict the evolution of an <strong>in</strong>itially triangular wave packet imp<strong>in</strong>g<strong>in</strong>g on a<br />

step barrier like <strong>in</strong> section 4.3. The parameters of this wave packet a<strong>re</strong> k =3and =0:8.<br />

The spatial <strong>re</strong>gion of <strong>in</strong>te<strong>re</strong>st is [,40; 40], and like befo<strong>re</strong>, the time <strong>in</strong>terval is [0; 42]. He<strong>re</strong>,<br />

too, the height of the barrier is shown only for graphical <strong>re</strong>asons and has no actual mean<strong>in</strong>g.<br />

In order to provide a spectacular <strong>re</strong>sult, the wave number spectrum was chosen so as to<br />

comprise considerable pass-band components as well, which is why we can see a small and<br />

rapidly widen<strong>in</strong>g wave runn<strong>in</strong>g further <strong>in</strong>to the barrier.<br />

122

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