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

doi:10.1088/1674-1056/ab5efa

中国物理B ›› 2020, Vol. 29 ›› Issue (1): 14211-014211.doi: 10.1088/1674-1056/ab5efa

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

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

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

1 Department of Electrical&Computer Engineering, North South University, Bashundhara, Dhaka 1229, Bangladesh;
2 Pi Labs Bangladesh LTD, ARA Bhaban, 39, Kazi Nazrul Islam Avenue, Kawran Bazar, Dhaka 1215, Bangladesh;
3 Department of Computer Science&Engineering, Military Institute of Science and Technology, Dhaka, Bangladesh;
4 Department of Physics, University of Dhaka, Dhaka, Bangladesh;
5 Department of Computer Science&Engineering, Bangladesh University of Engineering and Technology ECE Building, West Palasi, Dhaka-1205;
6 Department of Computer Science&Engineering, United International University, Dhaka, Bangladesh

收稿日期:2019-06-14 修回日期:2019-10-15 出版日期:2020-01-05 发布日期:2020-01-05
通讯作者: M R C Mahdy, M R C Mahdy E-mail:mahdy.chowdhury@northsouth.edu;msrahman@cse.buet.ac.bd
基金资助:
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).

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

M R C Mahdy^1,2, Hamim Mahmud Rivy¹, Ziaur Rahman Jony¹, Nabila Binte Alam³, Nabila Masud¹, Golam Dastegir Al Quaderi⁴, Ibraheem Muhammad Moosa⁵, Chowdhury Mofizur Rahman⁶, M Sohel Rahman⁵

1 Department of Electrical&Computer Engineering, North South University, Bashundhara, Dhaka 1229, Bangladesh;
2 Pi Labs Bangladesh LTD, ARA Bhaban, 39, Kazi Nazrul Islam Avenue, Kawran Bazar, Dhaka 1215, Bangladesh;
3 Department of Computer Science&Engineering, Military Institute of Science and Technology, Dhaka, Bangladesh;
4 Department of Physics, University of Dhaka, Dhaka, Bangladesh;
5 Department of Computer Science&Engineering, Bangladesh University of Engineering and Technology ECE Building, West Palasi, Dhaka-1205;
6 Department of Computer Science&Engineering, United International University, Dhaka, Bangladesh

Received:2019-06-14 Revised:2019-10-15 Online:2020-01-05 Published:2020-01-05
Contact: M R C Mahdy, M R C Mahdy E-mail:mahdy.chowdhury@northsouth.edu;msrahman@cse.buet.ac.bd
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: Abraham-Minkowski controversy, dielectric interface, machine learning, optical force laws, optical pulling force, optical tractor beams

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.

Key words: Abraham-Minkowski controversy, dielectric interface, machine learning, optical force laws, optical pulling force, optical tractor beams

中图分类号: (Wave propagation, transmission and absorption)

42.25.Bs

42.25.Dd (Wave propagation in random media) 42.25.Gy (Edge and boundary effects; reflection and refraction)

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[J]. 中国物理B, 2020, 29(1): 14211-014211.

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

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

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