Femtosecond laser inscribed parallel long-period fiber gratings for multi-channel core mode conversion

Multi-order orbital angular momentum mode generators based on integrated long-period fiber gratings

We propose integrated long-period fiber gratings (LPFGs) fabricated by a CO2 laser to realize a multi-channel and multi-order orbital angular momentum (OAM) mode generator. The integrated LPFG is inscribed on multiple surfaces of the few-mode fiber (FMF) by rotating the fiber in the opposite direction at an angle θ. By controlling the rotation angle, the number of integrated LPFGs can be set. The selected rotation angle is 43 ∘, which can integrate up to nine LPFGs, i.e., realizing that the number of channels for first-order orbital angular momentum (OAM) mode conversion is nine. The integrated LPFGs fabricated in this method allow a flexible design of channel spacing. In addition, the flexible selection of the integrated grating period achieves the simultaneous generation of multi-channel second-order and third-order OAM mode conversion. The multi-channel and multi-order OAM mode generators have important application in optical communication multiplexing systems and OAM sensing.

Broadband linearly polarized mode converter based on over-coupled long-period fiber grating

We demonstrate the fabrication of over-coupled long-period fiber gratings (LPFGs) in the 1.55-µm and 2-µm wavebands enabling broadband linearly polarized LP11 mode conversion using a CO2 laser. The birefringence of the fiber is caused by on one side laser exposure and increases with the increase of refractive index modulation depth, which realizes the conversion of linearly polarized modes. The mode conversion bandwidth can be significantly increased by using the over-coupled LPFG. The 10-dB bandwidth of the LPFGs with |κ|L values of π/2, 3π/2, and 5π/2 are 33.04, 80.84, and 114.08 nm at 1.55 µm waveband, respectively. The maximum bandwidth of the over-coupled LPFG is 3.79 times higher than that of conventional LPFG. The operating wavelength of the mode converter can be extended to 2.0 µm wavebands and the maximum 10-dB bandwidth reaches 161.32 nm. The proposed broadband linearly polarized mode converters could have potential application in the fields of mode division multiplexing systems, fiber laser systems.

Multiple core modes conversion using helical long-period fiber gratings

We propose and demonstrate the fabrication of an all-fiber mode converter enabling simultaneous generation of multiple high-order core modes, which is realized by inscribing a helical long-period grating (HLPG) in a few-mode fiber (FMF) using a femtosecond laser. Helical refractive index modulation is introduced by continuously irradiating the core region with a highly focused femtosecond laser, while the fiber moves in a spiral path through a three-dimensional translation stage. Mode conversion from the LP₀₁ mode to high-order core modes, including LP₁₁, LP₂₁, LP₃₁, LP₀₂, LP₁₂, and LP₄₁ modes, is achieved by controlling the inscription pitch of the grating. Moreover, first-, second-, third-, and fourth-order orbital angular momentum (OAM) modes can be directly generated using the HLPGs, and multiple OAM modes of different topological charges can be simultaneously excited using a single high diffraction order HLPG. This approach offers a new option for implementing with high-integration high-order mode converters or OAM mode generators.

High-efficiency broadband third-order OAM mode converter based on a multi-period preset-twist long-period fiber grating

All-fiber mode converters for generating orbital angular momentum (OAM) beams have many applications in optical communications, optical sensing and lasers. Currently, it is a great challenge to use a long-period fiber grating (LPFG) to broadband excite high-order OAM modes above the second-order. Here, we demonstrate a preset-twist LPFG fabrication method, which introduces asymmetry in the refractive index modulation area, for efficient generation of third-order modes. Through optimization, the generation of third-order OAM modes with 99.55% conversion efficiency, 0.81 dB insertion loss, and over 99% purity is achieved with only 40 pitch number. In addition, a multi-period preset-twist LPFG is proposed and demonstrated to achieve the excitation of broadband third-order mode with conversion efficiency of more than 99%, insertion loss of less than 1 dB, and mode purity of more than 90%. The 15 dB bandwidth (96.8% conversion efficiency) of the LPFG is 109 nm in the wavelength range from 1475 nm to 1584 nm, and the 20 dB bandwidth (99% conversion efficiency) of the LPFG is 92 nm from 1488 nm to 1580 nm. To the best of our knowledge, this is the first time to generate efficient and broadband third-order mode using a long-period fiber grating.

Resonance prediction and inverse design of multi-core selective couplers based on neural networks

Resonance analysis and structural optimization of multi-channel selective fiber couplers currently rely on numerical simulation and manual trial and error, which is very repetitive and time consuming. To realize fast and accurate resonance analysis and calculation, we start with dual-core structures and establish forward classification and regression neural networks to classify and predict different resonance properties, including resonance types, operating wavelength, coupling coefficient, coupling length, 3 dB bandwidth, and conversion efficiency. The pre-trained forward neural networks for dual-core fibers can also realize accurate and fast prediction for multi-core fibers if the mode energy exchange occurs only between one surrounding core and the central core. For the inverse design, a tandem neural network has been constructed by cascading the pre-trained forward neural network and the inverse network to solve the non-uniqueness problem and provide an approach to search for appropriate and desired multi-core structures. The proposed forward and inverse neural networks are efficient and accurate, which provides great convenience for resonance analysis and structural optimization of multi-channel fiber structures and devices.