Metasurfaces have exhibited considerable capability for generating Airy beams.However,the available plasmonic/dielectric metasurfaces Airy-beam generators have low transmission efficiency and/or poor quality of genera...Metasurfaces have exhibited considerable capability for generating Airy beams.However,the available plasmonic/dielectric metasurfaces Airy-beam generators have low transmission efficiency and/or poor quality of generated beam because they lack the amplitude modulation.Hyperbolic metamaterials(HMMs)have recently provided an alternative strategy for building high-performance meta-devices that are capable of flexibly modulating the phase,amplitude and polarization state of light.Here we reveal that both the propagation phase and the Pancharatnam-Berry phase can contribute to the local transmission phase of circularly polarized electromagnetic waves by using HMMs.This thus provides us with great freedom to design HMM units with different cross-sections to independently control the transmission phase and amplitude.Here,we design circularly polarized Airy-beam generators in the microwave and near-infrared domains,which require binary phase and polynary amplitude,and validate the good performance in the microwave experiment.Our work can facilate the generation of a complicated light field that highly requires independent and complete control of the transmission phase and amplitude under circularly polarized incidence.展开更多
We present analytical bound state solutions of the spin-zero Klein–Gordon （KG） particles in the field of unequal mix-ture of scalar and vector Yukawa potentials within the framework of the approximation scheme to t...We present analytical bound state solutions of the spin-zero Klein–Gordon （KG） particles in the field of unequal mix-ture of scalar and vector Yukawa potentials within the framework of the approximation scheme to the centrifugal potential term for any arbitrary l-state. The approximate energy eigenvalues and unnormalized wave functions are obtained in closed forms using a simple shortcut of the Nikiforov–Uvarov （NU） method. Further, we solve the KG–Yukawa problem for its exact numerical energy eigenvalues via the amplitude phase （AP） method to test the accuracy of the present solutions found by using the NU method. Our numerical tests using energy calculations demonstrate the existence of inter-dimensional degeneracy amongst the energy states of the KG–Yukawa problem. The dependence of the energy on the dimension D is numerically discussed for spatial dimensions D = 2–6.展开更多
基金the National Natural Science Foundation of China(Grant Nos.11474116 and 11674118).
文摘Metasurfaces have exhibited considerable capability for generating Airy beams.However,the available plasmonic/dielectric metasurfaces Airy-beam generators have low transmission efficiency and/or poor quality of generated beam because they lack the amplitude modulation.Hyperbolic metamaterials(HMMs)have recently provided an alternative strategy for building high-performance meta-devices that are capable of flexibly modulating the phase,amplitude and polarization state of light.Here we reveal that both the propagation phase and the Pancharatnam-Berry phase can contribute to the local transmission phase of circularly polarized electromagnetic waves by using HMMs.This thus provides us with great freedom to design HMM units with different cross-sections to independently control the transmission phase and amplitude.Here,we design circularly polarized Airy-beam generators in the microwave and near-infrared domains,which require binary phase and polynary amplitude,and validate the good performance in the microwave experiment.Our work can facilate the generation of a complicated light field that highly requires independent and complete control of the transmission phase and amplitude under circularly polarized incidence.
文摘We present analytical bound state solutions of the spin-zero Klein–Gordon （KG） particles in the field of unequal mix-ture of scalar and vector Yukawa potentials within the framework of the approximation scheme to the centrifugal potential term for any arbitrary l-state. The approximate energy eigenvalues and unnormalized wave functions are obtained in closed forms using a simple shortcut of the Nikiforov–Uvarov （NU） method. Further, we solve the KG–Yukawa problem for its exact numerical energy eigenvalues via the amplitude phase （AP） method to test the accuracy of the present solutions found by using the NU method. Our numerical tests using energy calculations demonstrate the existence of inter-dimensional degeneracy amongst the energy states of the KG–Yukawa problem. The dependence of the energy on the dimension D is numerically discussed for spatial dimensions D = 2–6.
