Geometrical Hydromagnetics

Cover Geometrical Hydromagnetics
Geometrical Hydromagnetics
Jack Bazer
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We saw in Sections A and B that the (unique) ray through P corre- sponding to the normal n to 5q^(t ) at P (see Figure 3) is the o con- 12, They were first described by K. 0. Friedrichs in [l2] As explained above j^j, (t, P ) and 0* „(t, P ) coincide.
31 veyor of the energy of the associated fundamental wave. In view of the above discussion the following fact is apparent. Only those rays of the spheres jj". (t, P ) employed in Huygens ' construction carry energy whose end points coincide with t
...he points of the envelope of the spheres ^ . (t, P°), In Figure 3^ P P is one such energy-carrying ray. The remaining fast rays issuing from P (not shown in the figure) carry no energy; but, of cotirse they help in the visualization of the envelope.
The constructions that have been described in this section are valid even if H, P and u are -variable, provided sufficiently small time intervals are chosen. For, the basis of all constructions is the dx relation p • — *• = 1 which is valid whether H, P, and u are constant or - dt ~ ■* not.


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