Quantization of the electric field inside a box

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Hello all,

The second quantization of a general electromagnetic field assumes the energy density integration to be performed inside a box in 3D space. Someone mentioned to me recently that the physical significance of the actual volume used is that it should be chosen based on the detector used to measure some attribute of the field; say the electric field in the radial-direction at some point in space. For example, for an electromagnetic source and a detector placed as shown in the attached image, the integration volume(the box) should be chosen as shown. I'm looking to understand why this is the case. Could anyone please point me in the right direction?

thanks,
Tharindu.
 

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