The magnetic phase change of an electromagnetic wave during reflection

In summary, the question discussed the use of ##E_\bot## and ##\overrightarrow{B}=\dfrac{1}{v}\widehat{k}\times \overrightarrow{E}## to determine the direction of the magnetic field. However, the question only mentioned ##E_\bot##, which is not enough information. The change in ##\overrightarrow{B}## also depends on the change in ##\overrightarrow{E_\parallel}##, as shown in the equation ##\overrightarrow{B}=\dfrac{1}{v}\widehat{k}\times \left( \overrightarrow{E}_{\parallel}+\overrightarrow{E}_{\bot}\right)##. The attached
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Dom Tesilbirth
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Homework Statement
An electromagnetic wave is incident on a water-air interface. The phase of the perpendicular component of the electric field, ##E_\bot##, of the reflected wave into the water is found to remain the same for all angles of incidence. By what angle does the phase of the magnetic field H change?
Relevant Equations
$$\overrightarrow{B}=\dfrac{1}{v}\widehat{k}\times \overrightarrow{E}$$
If the question had mentioned ##\overrightarrow{E}## instead of ##E_\bot##, then we could have used ##\overrightarrow{B}=\dfrac{1}{v}\widehat{k}\times \overrightarrow{E}## to get the direction of the magnetic field. But the question had only mentioned ##E_\bot##. To my understanding, knowing ##E_\bot## is not enough. Because, according to ##\overrightarrow{B}=\dfrac{1}{v}\widehat{k}\times \overrightarrow{E}=\dfrac{1}{v}\widehat{k}\times \left( \overrightarrow{E}_{\parallel}+\overrightarrow{E}_{\bot}\right)##, the change in ##\overrightarrow{B}## also depends on the change in ##\overrightarrow{E_\parallel}##.Is there any other way to solve this problem?
 
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Related to The magnetic phase change of an electromagnetic wave during reflection

1. What is the magnetic phase change of an electromagnetic wave during reflection?

The magnetic phase change of an electromagnetic wave during reflection refers to the change in the orientation of the magnetic field component of the wave as it bounces off a reflective surface. This change is caused by the interaction between the wave and the reflective surface, which can alter the direction and magnitude of the magnetic field.

2. How does the magnetic phase change affect the reflected wave?

The magnetic phase change can affect the amplitude, polarization, and direction of the reflected wave. Depending on the angle of incidence and the properties of the reflective surface, the reflected wave may experience a phase shift, change in polarization, or even total reflection.

3. What factors influence the magnetic phase change during reflection?

The magnetic phase change during reflection is influenced by the angle of incidence, the properties of the reflective surface (such as its material and texture), and the wavelength of the incident wave. These factors can all affect the interaction between the wave and the surface, resulting in different amounts of magnetic phase change.

4. How is the magnetic phase change measured or calculated?

The magnetic phase change can be measured experimentally using specialized equipment such as a polarimeter or a spectrometer. It can also be calculated using mathematical formulas that take into account the properties of the incident and reflected waves, as well as the properties of the reflective surface.

5. What are the practical applications of understanding the magnetic phase change during reflection?

Understanding the magnetic phase change during reflection is important in various fields such as optics, telecommunications, and materials science. It can help in the design and optimization of reflective surfaces for specific purposes, such as increasing the reflectivity or controlling the polarization of the reflected wave. It also plays a crucial role in technologies such as polarizing filters, optical coatings, and reflective displays.

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