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Wave Propagation in Linear Media | re-examined

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4.3 Examples of scatter<strong>in</strong>g processes<br />

2.5<br />

2<br />

1.5<br />

1<br />

0.5<br />

P<br />

0 20 40 60 80 100 120 140 T<br />

2.5<br />

2<br />

1.5<br />

1<br />

0.5<br />

P<br />

0 20 40 60 80 100 120 140 T<br />

Figu<strong>re</strong> 4.14: Pulse shapes produced by several short wave packets at the <strong>in</strong>terface of the barrier. The<br />

parameter a<strong>re</strong> k = 6 and = 0:2. The left graph shows the <strong>re</strong>ctangular (solid l<strong>in</strong>e) and triangular<br />

(dotted l<strong>in</strong>e) packet. On the right side, the <strong>re</strong>sults of a narrow (n= 10, solid l<strong>in</strong>e) and a wide (n =4,<br />

dotted l<strong>in</strong>e) Gaussian packet a<strong>re</strong> given.<br />

0.014<br />

0.012<br />

0.01<br />

0.008<br />

0.006<br />

0.004<br />

0.002<br />

P<br />

-6<br />

8. 10<br />

-6<br />

6. 10<br />

-6<br />

4. 10<br />

-6<br />

2. 10<br />

P<br />

20 40 60 80 100 120 140 T<br />

20 40 60 80 100 120 140 T<br />

0.0001<br />

0.00008<br />

0.00006<br />

0.00004<br />

0.00002<br />

-8<br />

5. 10<br />

-8<br />

4. 10<br />

-8<br />

3. 10<br />

-8<br />

2. 10<br />

-8<br />

1. 10<br />

P<br />

P<br />

20 40 60 80 100 120 140 T<br />

20 40 60 80 100 120 140 T<br />

Figu<strong>re</strong> 4.15: Pulse shapes produced by several short wave packets at X = 10 <strong>in</strong>side the barrier. The<br />

parameter a<strong>re</strong> k =6and =0:2. The graphs show the <strong>re</strong>ctangular (upper left), triangular (upper<br />

right), narrow Gaussian (n = 10, lower left), and wide Gaussian (n =4,lower right) packet.<br />

91

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