This paper studies the photonic hooks (PH) generated by the interaction of a dielectric sphere rotating at a certain angular velocity with a plane wave. Based on the instantaneous static frame theory and the partial-wave series expansion method in spherical coordinates, with the help of the separated variable method, we obtain the analytical solutions for the internal and external electric fields of a homogeneous isotropic dielectric sphere rotating around the z-axis irradiated by a plane wave of arbitrary direction. This article focuses on the effect of size parameters (ka), relative refractive index (m1), and rotational dimensionless parameters 𝛾 on PH. The PH produced by this non-reciprocal system can be used not only for trapping off-axis particles, but also has promising applications in low-loss waveguiding, subdiffraction-resolution nanopatterning, and nanolithography.
Based on the optical Magnus effect, the theoretical framework that scattering generated by a plane wave illuminating a spinning dielectric sphere is proposed using the “instantaneous rest-frame” hypothesis and Minkowski's theory. The analytic expressions of electromagnetic fields are derived for a dielectric sphere rotating around the z-axis exerted by a plane wave illuminating in an arbitrary direction using the method of separation of variables. Both the photonic hook (PH) and the resonance scattering generated by the spinning dielectric sphere are concerned and investigated. The impact of resonance scattering generated by the rotation on the PH is also discussed. The influence of the non-reciprocal rotating dimensionless parameter which determines the existence of PH and resonance to the scattering is emphasized. All the findings in this manuscript have extensive application prospects in particle manipulation, designing of the resonator, and mesotronics.
The resonance scattering caused by the interaction between a dielectric cylinder rotating at a steady angular velocity and a plane wave are studied using the method of separation of variables and the multipole expansion method. In addition, the effect of resonance on curved photonic nanojets (PNJ) is also analyzed. During the study, the critical value of resonance scattering is found by changing the dimensionless and dimensional parameters of the medium cylinder. It is found that the rotation of particles can create and destroy resonance phenomena. The resonance scattering of rotating dielectric cylinders produced by plane waves provides a new direction for the study of PNJ and whispering gallery mode (WGM), as well as the design and application of ultra-sensitive sensors and resonators
The optical spin torque (OST) on a magneto-dielectric Mie sphere has been discussed and analyzed analytically in this investigation, using the Generalized Lorenz-Mie theory (GLMT). The incident electromagnetic field is an Airy light-sheet, with the parameters transverse scale kω0 and attenuation parameter γ, where kω0 modulates the width of the main lobe of the Airy light-sheet, and Îł controls the attenuation of Airy light-sheet. The effect of kω0 and γ of Airy light-sheet on the OST has been studied. The size parameters ka, permittivity, and permeability of the magneto-dielectric Mie sphere have also been discussed. This investigation of the optical spin torque (OST) on the magneto-dielectric Mie sphere has specific reference significance and is expected to be applicable to the field of manipulation of microparticles and biomedicine.
As the tweezer light sources, single beam optical traps, have become a kind of important tool for non-contact manipulation of microscopic objects. The interaction of light-sheets with objects allows flow visualization, nondestructive optical sectioning and imaging of the internal subcellular features. In the framework of GLMT, based on the vector angular spectrum decomposition method, with the Lorenz gauge condition and Maxwell’s equations allow adequate determination of the Cartesian components of the incident radiated electric field components. The Bessel pincer light-sheets with characteristics of auto-focusing and self-bending, has great advantages in non-destructive optical sectioning and imaging of the internal subcellular features. The influences of the Bessel pincer light-sheets (mainly focusing on beam order and scaling parameter) acting on a dielectric sphere particle, will be discussed. The results will show the sensitivity of beam parameters (beam order and scaling parameter) to the radiation force and the negative force. Further, the present solution can be used to calculate the optical torque, which is of great importance in particle transport and rotation.
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