Dielectric or plasmonic Mie object at air-liquid interface: The transferred and the traveling momenta of photon

doi:10.1088/1674-1056/ab5efa

Abstract Considering the inhomogeneous or heterogeneous background, we have demonstrated that if the background and the half-immersed object are both non-absorbing, the transferred photon momentum to the pulled object can be considered as the one of Minkowski exactly at the interface. In contrast, the presence of loss inside matter, either in the half-immersed object or in the background, causes optical pushing of the object. Our analysis suggests that for half-immersed plasmonic or lossy dielectric, the transferred momentum of photon can mathematically be modeled as the type of Minkowski and also of Abraham. However, according to a final critical analysis, the idea of Abraham momentum transfer has been rejected. Hence, an obvious question arises:whence the Abraham momentum? It is demonstrated that though the transferred momentum to a half-immersed Mie object (lossy or lossless) can better be considered as the Minkowski momentum, Lorentz force analysis suggests that the momentum of a photon traveling through the continuous background, however, can be modeled as the type of Abraham. Finally, as an interesting sidewalk, a machine learning based system has been developed to predict the time-averaged force within a very short time avoiding time-consuming full wave simulation.

Keywords: Abraham-Minkowski controversy dielectric interface machine learning optical force laws optical pulling force optical tractor beams

Received: 14 June 2019
Revised: 15 October 2019
Accepted manuscript online:

PACS:	42.25.Bs	(Wave propagation, transmission and absorption)
	42.25.Dd	(Wave propagation in random media)
	42.25.Gy	(Edge and boundary effects; reflection and refraction)

Fund: Project supported by the World Academy of Science (TWAS) research grant 2018 (Ref: 18-121 RG/PHYS/AS_I-FR3240303643) and North South University (NSU), Bangladesh, internal research grant 2018-19 & 2019-20 (approved by the members of BOT, NSU, Bangladesh).

Corresponding Authors: M R C Mahdy, M R C Mahdy
E-mail: mahdy.chowdhury@northsouth.edu;msrahman@cse.buet.ac.bd

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M R C Mahdy, Hamim Mahmud Rivy, Ziaur Rahman Jony, Nabila Binte Alam, Nabila Masud, Golam Dastegir Al Quaderi, Ibraheem Muhammad Moosa, Chowdhury Mofizur Rahman, M Sohel Rahman Dielectric or plasmonic Mie object at air-liquid interface: The transferred and the traveling momenta of photon 2020 Chin. Phys. B 29 014211

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Dielectric or plasmonic Mie object at air-liquid interface: The transferred and the traveling momenta of photon

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