Question

Explain briefly using Maxwell's equations in a vacuum the propagation of light waves.

Answer #1

In a vacuum (without materials, and without sources for
electromagnetic fields), use Maxwell's equations to prove that
fields E and B propagate as waves.

Write the Maxwell's equations. Write the names of these equations,
and briefly explain each of them with one sentence.

Using sinusodial plane wave, prove no longitudinal
electromagnetic wave exists in a vacuum. Only use Maxwell's
equation, not stoke's theorem or divergence theorem.

1) Which one of the following is not a property of EM
waves in a vacuum?
a) The EM wave is longitudinal, the electric and magnetic fields
oscillate along the direction of propagation.
b) The electric and magnetic fields oscillate in phase with each
other.
c) EM waves in a vacuum travel at a speed of 3.00 ×
108 m/s, independent of frequency.
2) Which one of the following statements is
correct?
a) A complete description of light requires consideration...

Can EM waves travel through a perfect vacuum? Can sound waves?
Explain.

Briefly explain the absorption of X-rays; Since the variation of
the light intensity of the absorbance of the electromagnetic waves
with the sample thickness is directly proportional to the intensity
of the light, solve the absorption coefficient and determine the
boundary conditions by solving the differential equation.

I read this great answer to this question:
Numerical software to manipulate a light beam in its plane wave
representation?
The main thing that I am trying to clear in my head is the
following:
Given that plane waves are eigenmodes of maxwell's equations in
free space in the absence of sources, shouldn't I be able to use
this to propagate a planar e/m field exactly (ignoring aliasing
effects)?
For example I know the field that exits in the x,...

Using a PHET light waves stimulator: Turn only bottom light on
then measure how long it takes for the center of the trough of the
wave to be at that point you marked. Turn the bottom light off and
allow the waves to dissipate. Next, turn on the light at the top
and allow the simulation to run for exactly the amount of time
measured. Record the “state of the wave” at your marked point. Is
it a trough, a...

1) Electromagnetism
a) Explain the equations which describe electromagnetic waves
and what the variables mean.
b) Describe a system that uses electromagnetic waves.

15. Light behaves primarily like a wave when: EXPLAIN IT
a. travels in a vacuum.
b. interacts with matter.

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