Applications of classical andquantum-optomechanical Light Propagation

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Abstract
The theory of electromagnetic waveguides has found applications in many areas of science and technology, ranging from nanotechnology, nano-optics, optics and photonics, sensing, optical communications, plasma physics to astrophysics. One of the challenges facing the application of other waveguides such as the elliptic and parabolic waveguides in the nano-regime is the amount of parameters to be considered in their fabrications and the ability to control these parameters in miniature systems. The equilateral triangular waveguides, just as the circular cylindrical waveguides, has at most just one parameter to consider in their design or fabrication. That is, the triangle side a. The indices m and n (and a third index l, for equilateral triangular waveguide, is dependent on the other two l = −m−n), is a general feature of all cylindrical waveguides. Thus, the equilateral triangular waveguide, has a promising utility for applications in nanotechnology. Since just focusing on this one parameter, one can as precision allows (within the limits of classical light propagation, in essence, before the quantum theory becomes important), produce very tiny equilateral triangular waveguide. Thus the feasibility and promising utility motivates our investigation of the equilateral triangular waveguides, which despite its simplicity, does not have a thorough study of for instance, its attenuation characteristics. This characteristics and other symmetry properties of the modes, especially the surprisingly interesting odd modes of the equilateral triangular waveguide is what we investigate in this project. In the second part of our research, we study Quantum Photonic nano-cavties, which is a typical case of what happens when quantum mechanics becomes important, in propagation of light, in the nano-regime. This also, promises great and novel solutions to the numerous challenges facing the production of versatile and effective nano-machine fabrications. Thus the significance of our research work lies in illustrating and exploring the possibility for a far more reaching industrial applications of quantum photonic-nano cavities, through the quantum optomechanical theoretic formulation and application of multiply synchronized nano-photonic cavities in sensing, information or data storage and distribution in nano-devices, very effective/versatile nano-machines, high level machine learning, artificial intelligence and the future of modern nano-material fabrications and nanotechnology in general. We intend or expect to have a clear cut technological advancement, demonstrated by a fabricated device that harnesses the high quality factorof quantum photonic nano-cavities, in terms of increased capacity or storage power of the nano-device and or a very sensitive light sensor and other technological advancement that has applications in information commutation technology, medicine and the industry in general.
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https://orcid.org/0000-0002-8705-2924