How to find the amplitudes and polarisation of travelling waves

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SUMMARY

The discussion focuses on calculating the amplitudes and polarizations of forward and backward traveling plane monochromatic waves propagating along the x-axis. The field strengths at the origin are defined as Ez = E0 cos(wt) and Ey = 3E0 cos(wt). The backward amplitude is determined to be 2E0 along the y-axis, while the net energy flux is calculated as E0^2/Z0. The forward amplitude remains to be derived, prompting requests for assistance in completing the solution.

PREREQUISITES
  • Understanding of electromagnetic wave propagation
  • Familiarity with wave equations and harmonic motion
  • Knowledge of energy flux in electromagnetic fields
  • Basic calculus for solving wave equations
NEXT STEPS
  • Calculate the forward amplitude using wave superposition principles
  • Explore the concept of polarization in electromagnetic waves
  • Study the derivation of energy flux in electromagnetic waves
  • Review the properties of plane monochromatic waves in free space
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Students studying electromagnetism, physicists analyzing wave behavior, and educators teaching concepts of wave propagation and polarization.

faraaa
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Homework Statement



Plane monochromatic waves are propagating in free space parallel to the x-axis
in both positive and negative directions. At the origin the fi eld strengths are
given by:
Ez = E0 cos wt Ey = 3E0 cos wt
cBz = E0 cos wt cBy = E0 cos wt
Find the amplitudes and polarisations of the forward and backward travelling
waves, and the net energy flux


The Attempt at a Solution



I only get the backward amplitude which is 2E0 parallel to y-axis and the net flux which is E0^2/Z0

Can anyone help to find the forward amplitude?
 
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faraaa said:

Homework Statement



Plane monochromatic waves are propagating in free space parallel to the x-axis
in both positive and negative directions. At the origin the fi eld strengths are
given by:
Ez = E0 cos wt Ey = 3E0 cos wt
cBz = E0 cos wt cBy = E0 cos wt
Find the amplitudes and polarisations of the forward and backward travelling
waves, and the net energy flux


The Attempt at a Solution



I only get the backward amplitude which is 2E0 parallel to y-axis and the net flux which is E0^2/Z0

Can anyone help to find the forward amplitude?

$$ y=A\cos\left(\omega t+\phi\right) $$

Isn't the answer quite easy to derive now?:biggrin:
 

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