Duanzheng Yao

Analytical study of optical solitons in media with Kerr and parabolic-law nonlinearities

The nonlinear optical transmission equation was investigated in the presence of detuning, inter-modal dispersion, time- and space-modulated external potentials, and dissipation. Optical solitons, triangular periodic solutions, and Jacobian elliptic periodic solutions are constructed with the aid of the self-similarity transformation and Jacobian elliptic equation expansion methods. The conditions for analytical solutions to exist are obtained. Both Kerr-law as well as parabolic-law nonlinear media are considered.

Optical solitons in gas-filled, hollow-core photonic crystal fibers with inter-modal dispersion and self-steepening

The optical solitons in a gas-filled, hollow-core photonic crystal fiber with higher-order dispersion, inter-modal dispersion, Raman effect, self-steepening, detuning, external potential, and dissipation have been studied theoretically by employing the Bäcklund transformation and Hirota’s direct method. The bilinear forms and exact optical one-soliton solutions to the nonlinear optical transmission equation are obtained under the constraint conditions. The influence of correlation coefficients on the width, amplitude, and phase of optical solitons are analyzed. These results have important application features in optical soliton control in gas-filled, hollow-core photonic crystal fibers.

Exact solutions of the cubic-quintic nonlinear optical transmission equation with higher-order dispersion terms and self-steepening term

By using the subsidiary ordinary differential equation method, many explicit Jacobian elliptic periodic solutions of the cubic-quintic nonlinear optical transmission equation with higher-order dispersion nonlinear terms and self-steepening term are obtained. The results are discussed.

Beam splitters based on double-layer rectangular phase gratings

Theoretical beam splitting characteristics of double-layer rectangular phase gratings (DLRPGs) are reported. Computer simulation shows that these DLRPGs not only can be used as common beam splitters with higher than 89% diffraction efficiencies and 95% energy distribution uniformities but also exhibit novel splitting properties; one DLRPG can generate a series of beam numbers with 70% diffraction efficiencies by changing in real time the incident angles of a reading beam. This means that a single beam splitter can operate as several common beam splitters.

Optofluidic tunable plasmonic filter based on liquid-crystal microcavity structures

A theoretical demonstration of Optofluidic tunable wavelength filter in the near-infrared regime has been presented. By incorporating nematic liquid crystal (LC) into the slot resonator, a nanoscale LC optical filter is proposed and numerically investigated. The finite difference time domain method is used to simulate the optical characteristics of the plasmonic nanostructure. Two approaches are considered to tune the filter’s resonant wavelength, a fine tuning based on optofluidic control LC length and a coarse tuning based on LC birefringence. Both fine tuning and coarse tuning are successful for manipulating the filter’s resonant wavelength. This plasmonic structure permits the high-precision control of transmit of the input surface plasmon polaritons. The filters may have important potential application in highly integrated optical circuits.

Diffraction properties of double-layer rectangular phase gratings

Abstract We theoretically present diffraction properties of double-layer rectangular phase gratings (DLRPGs). Computer simulations show that these DLRPGs can realize several functions such as optical filtering, optical switching, optical amplitude modulating, beam splitting with variable output beam numbers and wavelength division multiplexing, and so on. As a test of the above diffraction properties, we fabricate a set of DLRPGs in a double-layer light-sensitive material by the contact printing method. Based on the DLRPGs of the material, a single beam splitter with experimental results of splitting of an incident beam into 2, 3 or 5 output beams and of higher than 64% total diffraction efficiency are realized when the incident angle of the readout beam is tuned during the reading process.