Phase of reflected and transmitted waves

In summary, the conversation discusses the EM waves chapter in Griffiths and the process of obtaining real amplitudes by disregarding the exponential part. The speaker questions why this assumption is made and asks for the related equation. They also mention the presence of a minus sign and its implications. The other person explains that this assumption is based on the behavior of waves at an interface and is a known hypothesis. The conversation ends with a question about the conclusion of the demonstration.
  • #1
carllacan
274
3
I'm reading the EM waves chapter on Griffiths, and, after getting the complex amplitudes of the reflected and transmitted waves he obtains the real amplitudes by (apparently) just "disregarding" the exponential part, which is equivalent to assuming that the phase of both waves is equal to the phase of the incident wave (except for the minus charge in the reflected wave if v2 < v1). Why does he assume this?
 
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  • #2
Can you provide the equation related to what you describe there?
Besides, the presence of minus implies that the phase has been flipped 180 degree, that is the phase is not omitted.
 
  • #3
Not familiar with the Griffiths book, but what you are describing seems like the most elementary thing about how waves behave at an interface. I'd say it's assumed as a hypothesis, because he knows it turns out to be true. What is the author coming to at the end of the demonstration?
 

Related to Phase of reflected and transmitted waves

What is the phase of a reflected wave?

The phase of a reflected wave refers to the position of the wave in its cycle at the moment it is reflected off of a surface. This can determine whether the reflected wave will reinforce or cancel out the original wave.

What is the phase of a transmitted wave?

The phase of a transmitted wave refers to the position of the wave in its cycle as it passes through a medium or interface. This can affect the direction and intensity of the transmitted wave.

How is the phase of a wave affected by the properties of the medium?

The phase of a wave can be affected by the properties of the medium it is traveling through, such as the density, temperature, and composition of the medium. These factors can alter the speed and direction of the wave, thus affecting its phase.

What happens when two waves with different phases interact?

When two waves with different phases interact, they can either reinforce or cancel each other out, depending on the phase difference. This phenomenon is known as interference and is seen in many natural phenomena, such as light and sound waves.

How is the phase of a wave measured?

The phase of a wave is measured in degrees or radians, with a full cycle being equivalent to 360 degrees or 2π radians. It can be measured using specialized equipment, such as an oscilloscope, which can display the wave's position in its cycle.

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