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Maxwell's Equations forbid longitudinal waves because they are incorrect.

The proper equations do not forbid longitudinal waves,

X2E = [ (d2/dr2 - Del2) , 2d/dr Del][e, E] =

X2E= [ (d2/dr2 - Del2)e -2d/dr Del.E, (d2/dr2 - Del2)E + 2d/dr(Del e + DelxE) ]

The longitudinal wave is the scalar wave: (d2/dr2 - Del2)e - 2d/dr Del.E

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11y ago
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6mo ago

Maxwell's equations predict the existence of transverse electromagnetic waves, with electric and magnetic fields perpendicular to the direction of propagation. These equations do not have solutions that describe purely longitudinal electromagnetic waves, as would be required for them to exist in a vacuum. Hence, Maxwell's equations effectively forbid the existence of longitudinal electromagnetic waves in a vacuum.

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Q: Why do Maxwell's equations forbid longitudinal waves?
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