Paper
10 September 2009 Photons as momentum-energy eigenmodes
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Abstract
Optical micromanipulation offers a unique insight into light-matter interaction at the mesoscopic level within the classical framework. The optical forces used in this process originate from the conservation of energy and momentum during an optical interaction. They can be determined through the use of the electromagnetic energy-momentum tensor which describes the flux of momentum and energy. However, can we use this direct opto-mechanical interaction to further our understanding of the classical nature of photons? In this paper, I generalize the momentum energy tensor and determine its eigenmodes for a given scattering object. These eigenmodes decompose the classical electromagnetic field into modes that have formally similar properties to those associated with photons i.e. modes with uniquely defined energy, momentum and polarization. This classical interpretation of photons is put forward and discussed in the context of small scattering particles. When a single photon is scattered from an object, transferring its momentum, is its final state one of the momentum energy eigenmodes? Potential experiments are discussed that could confirm this assumption in the case of single photon optical trapping and verify the "classical" nature of the photon.
© (2009) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Michael Mazilu "Photons as momentum-energy eigenmodes", Proc. SPIE 7421, The Nature of Light: What are Photons? III, 74210Q (10 September 2009); https://doi.org/10.1117/12.826152
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KEYWORDS
Maxwell's equations

Photons

Superposition

Particles

Scattering

Electromagnetism

Light scattering

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