A plane wave propagating along the positive z axis in vacuum is polarized along the y axis at a frequency of 3 GHz. Write the phasor of the E field, H field and Poynting vector.
Isn't a phasor the same regardless of the field it is on? Like E, H or Poynting?
How can I compute the phasor?
Thanks!
yes, if it is polarized along one plane. you know of course, H, and Poynting are different directions.
I'm having trouble determining its directions, how can I find them?
You are so useful man, you can't imagine how grateful I am.
Thanks.
The phasor representation of a wave refers to the complex amplitude of the wave and is the same regardless of the field it represents (E, H, or Poynting). The key difference lies in the physical quantities that the phasor represents.
To compute the phasor of a plane wave, you need to know the amplitude, frequency, and polarization direction.
In this case, let's say the amplitude of the wave is given as E_0 (electric field amplitude), which is polarized along the y-axis. The phasor of the electric field (E) can be represented as E = E_0 * exp(j * omega * t * z), where j is the imaginary unit (sqrt(-1)), omega = 2 * pi * f is the angular frequency (f is the frequency given as 3 GHz), t is the time, and z is the distance along the propagation direction (positive z-axis).
Similarly, the phasor of the magnetic field (H) can be given as H = H_0 * exp(j * omega * t * z), where H_0 is the magnetic field amplitude, which can be related to E_0 through the impedance of free space (Z_0 = 377 ohms).
The Poynting vector (S) represents the power density and is given by the cross product of the electric field and magnetic field. The phasor representation of the Poynting vector can be written as S = 1/2 * sqrt(epsilon_0 / mu_0) * Re(E * conj(H)), where epsilon_0 is the vacuum permittivity, mu_0 is the vacuum permeability, and Re() denotes the real part.
By substituting the phasor forms of E and H into the formula for S, you can compute the phasor of the Poynting vector.
Remember to adjust the amplitudes and phases of the phasors according to the provided information or any constraints given in the problem.