Write down a list of nine features of the radiation fields that can be deduced

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SUMMARY

The discussion focuses on deducing features of radiation fields from the provided electric field (E) and magnetic field (B) equations. Key features identified include the perpendicular relationship between E and B, their co-directional travel, sinusoidal waveform, differing amplitudes, and linear polarization. The discussion also emphasizes the need to understand the speed of the wave, which is determined by the relationship between E and B fields in the context of electromagnetic wave propagation.

PREREQUISITES
  • Understanding of electromagnetic theory, specifically Maxwell's equations.
  • Familiarity with wave mechanics, including sinusoidal waveforms.
  • Knowledge of vector calculus, particularly in three-dimensional space.
  • Basic principles of polarization in electromagnetic waves.
NEXT STEPS
  • Study the derivation of electromagnetic wave equations from Maxwell's equations.
  • Learn about the relationship between electric and magnetic fields in electromagnetic waves.
  • Research the concept of wave speed in different media and its dependence on field amplitudes.
  • Explore advanced topics in polarization, including circular and elliptical polarization.
USEFUL FOR

Students and professionals in physics, particularly those focusing on electromagnetism, wave propagation, and related fields. This discussion is beneficial for anyone looking to deepen their understanding of radiation fields and their characteristics.

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Homework Statement



In the limit of large distances, the electric field that is associated with the radiation magnetic fields is given by the real part of:

E(r)=[(μ(subscript 0) I(subscript 0) δ l)/(4pi)] cos θ ((-i ω)/r)exp [i(kr-ωt)] θ-hat

The magnetic field is given by the real part of:

B(r)=[(μ(subscript 0) I(subscript 0) δ l)/(4pi)] sinθ [((-i ω)/(rc))+(1/(r^2))]exp [i(kr-ωt)] phi-hat

Write down a list of up to nine features of the radiation fields that can be deduced from the form of the expressions for the radiation B and E fields. You should consider the relationship between E and B, the factors determining the amplitude of the wave, the polarisation of the wave, the speed of the wave and the shape of the waveform.

The Attempt at a Solution



E and B are perpendicular to each other.
They are traveling in the same direction.
They both have a sinusoidal shape.
They have different amplitudes.
They are linearly polarised.

That's all I can think of. Please help me think of some more.

How do I deduce the speed of the wave from those equations?
 
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E is traveling in the theta-hat direction.
B is traveling in the phi-hat direction.

But I am really stuck on thinking up two more features to answer the question. Please help.
 

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