What is Lorent'z gauge condition and how is it applied in real life situations?

[otpisani]

Can someone explained in simple language what is Lorent'z gauge or Lorent'z gauge condition, and can you give me example from practice or real life, can it maybe "carry" 2 different frequency at once let say.

 

[Khashishi]

You've looked at this already? http://en.wikipedia.org/wiki/Lorenz_gauge_condition

Just like energy has an arbitrary zero point, the electromagnetic potential also has an arbitrary zero. (meaning, you can add some constant to the energy at every point and not change a thing.) But the electromagnetic potential has more wiggle room in its arbitrary factor, such that you can add various functions to the potential and not change the physics at all. The Lorenz gauge proscribes one way to choose the values of these arbitrary functions.

"carry" 2 different frequency? That makes no sense whatsoever.

 

[otpisani]

Thanks Khashishi

Sorry I saw on US patents one invention who use lorent'z gauge condition, and in description it says that transmitter operate at high frequency and sub carrier at lower, I can research again and sand you a link.

 

[Khashishi]

no need for that

 

[pmacias]

Lorentz gauge condition, also known as Lorentz condition, is a mathematical constraint used in electromagnetism to simplify the equations describing the behavior of electric and magnetic fields. It was first introduced by the Dutch physicist Hendrik Lorentz in the late 19th century.

In simple terms, the Lorentz gauge condition states that the divergence of the vector potential (a mathematical quantity used to describe the magnetic field) is equal to the negative of the time derivative of the scalar potential (a mathematical quantity used to describe the electric field). This condition is mathematically expressed as ∇•A = -1/c^2 * ∂Φ/∂t, where A is the vector potential, Φ is the scalar potential, and c is the speed of light.

In real life situations, the Lorentz gauge condition is applied in the study of electromagnetic fields, such as in the design of antennas, electromagnetic wave propagation, and electromagnetic interference. It is also used in the development of electromagnetic field theories, such as Maxwell's equations.

An example of how the Lorentz gauge condition can be applied in practice is in the design of a radio antenna. By satisfying this condition, the antenna can efficiently transmit and receive electromagnetic waves at a specific frequency. If the condition is not satisfied, the antenna may experience interference from other frequencies, resulting in poor performance.

In terms of carrying two different frequencies at once, the Lorentz gauge condition does not directly allow for this. However, it is a crucial component in the development of advanced technologies, such as multi-frequency antennas and frequency-hopping communication systems, which can transmit and receive multiple frequencies simultaneously. These technologies rely on the proper implementation of the Lorentz gauge condition to ensure efficient and accurate transmission and reception of electromagnetic waves.