Undergrad How Does Superradiance Enhance Radiation Intensity?

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Superradiance enhances radiation intensity by allowing neighboring atoms to emit photons in phase, leading to the coherent emission of additional photons. When the distance between atoms is smaller than the radiation wavelength, the emitted photon from one atom stimulates neighboring atoms to emit new photons in the same direction and mode. This process does not consume the initial photon; instead, it facilitates the emission of more photons without losing the original. The phenomenon is akin to lasing and stimulated emission, where excited atoms interact coherently with an external field. Understanding this mechanism clarifies how superradiance can amplify radiation intensity.
TheCanadian
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I was reading through a paper and it says that super radiance enhances radiation intensity. That this can be understood by the fact that when the distance between neighboring atoms is much smaller than the wavelength of radiation, the photon emitted by one atom is seen to be in phase by neighboring atoms and can bring about the emission of a new photon of the same mode and the same direction as the initial photon. I just don't quite understand how this increases intensity. Wouldn't that initial photon used to eject the new photon be lost in the process of exciting it? I believe in this case, some of the atoms already have the electrons in an excited state, while the others are in the ground state. But nonetheless, how does that one photon actually eject another photon without being consumed in the process itself?
 
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My understanding of superradiance is that it's a coherent interaction between the atoms and external field, similar to lasing and stimulated emission.
 
I do not have a good working knowledge of physics yet. I tried to piece this together but after researching this, I couldn’t figure out the correct laws of physics to combine to develop a formula to answer this question. Ex. 1 - A moving object impacts a static object at a constant velocity. Ex. 2 - A moving object impacts a static object at the same velocity but is accelerating at the moment of impact. Assuming the mass of the objects is the same and the velocity at the moment of impact...

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