Optical mode manipulation using deep spatial diffractive neural networks.

In this paper, we investigate the theoretical models and potential applications of spatial diffractive neural network (SDNN) structures, with a particular focus on mode manipulation. Our research introduces a novel diffractive transmission simulation method that employs matrix multiplication, alongside a parameter optimization algorithm based on neural network gradient descent. This approach facilitates a comprehensive understanding of the light field manipulation capabilities inherent to SDNNs. We extend our investigation to parameter optimization for SDNNs of various scales. We achieve the demultiplexing of 5, 11 and 100 orthogonal orbital angular momentum (OAM) modes using neural networks with 4, 10 and 50 layers, respectively. Notably, the optimized 100 OAM mode demultiplexer shows an average loss of 0.52 dB, a maximum loss of 0.62 dB, and a maximum crosstalk of -28.24 dB. Further exploring the potential of SDNNs, we optimize a 10-layer structure for mode conversion applications. This optimization enables conversions from Hermite-Gaussian (HG) to Laguerre-Gaussian (LG) modes, as well as from HG to OAM modes, showing the versatility of SDNNs in mode manipulation. We propose an innovative assembly of SDNNs on a glass substrate integrated with photonic devices. A 10-layer diffractive neural network, with a size of 49 mm × 7 mm × 7 mm, effectively demultiplexes 11 orthogonal OAM modes with minimal loss and crosstalk. Similarly, a 20-layer diffractive neural network, with a size of 67 mm × 7 mm × 7 mm, serves as a highly efficient 25-channel OAM to HG mode converter, showing the potential of SDNNs in advanced optical communications.

Releasing the light field in subwavelength grating slot microring resonators for athermal and sensing applications.

Silicon-on-insulator (SOI) platforms have attracted increasing interest for photonic integrated devices with an ultra-small footprint. The distinct feature is the strong light confinement in the silicon region due to a high refractive-index-contrast. In contrast, releasing the light field out of the silicon region is also of great significance for providing a useful supplement to existing light guiding mechanisms and for facilitating versatile applications. Here, subwavelength grating slot (SWGS) microring resonators, which can effectively release light out of the silicon region for athermal and sensing applications, are proposed and demonstrated. The mechanism of releasing light relies on the combination of a surface enhanced supermode in a slot waveguide and a Bloch mode in a subwavelength grating waveguide. Four types of racetrack microring resonators (strip, slot, strip-SWGS, and slot-SWGS) were fabricated for comparison. The slot-SWGS microring resonator shows the best performance for athermal and sensing applications. The demonstrations may be useful for new releasing-light-enabled devices and applications.

Reconfigurable and tunable compact comb filter and (de)interleaver on silicon platform.

We propose and demonstrate a reconfigurable and tunable chip-scale comb filter and (de)interleaver on a silicon platform. The silicon-based photonic integrated device is formed by Sagnac loop mirrors (SLMs) with directional couplers replaced by multi-mode interference (MMI) assisted tunable Mach-Zehnder interferometer (MZI) couplers. The device can be regarded as a large SLM incorporating two small SLMs which form a Fabry-Perot (FP) cavity. By appropriately adjusting the micro-heaters in tunable MZI couplers and cavity, switchable operation between comb filter and (de)interleaver and extinction ratio and wavelength tunable operations of comb filter and (de)interleaver are achievable by thermo-optic tuning. Reconfigurable comb filter and (de)interleaver is demonstrated in the experiment. The central wavelength shifts of comb filter and (de)interleaver are demonstrated with wavelength tuning efficiencies of ~0.0224 nm/mW and ~0.0193 nm/mW, respectively. The 3-dB bandwidth of the comb filter is ~0.032 nm. The 3-dB and 20-dB bandwidths of the (de)interleaver passband are ~0.225 nm and ~0.326 nm. The obtained results indicate that the designed and fabricated device provides switchable comb filtering and interleaving functions together with extinction ratio and wavelength tunabilities. Reconfigurable and tunable silicon-based comb filter and (de)interleaver may find potential applications in robust wavelength-division multiplexing (WDM) optical communication systems.

Compact tunable electromagnetically induced transparency and Fano resonance on silicon platform.

We propose and demonstrate an on-chip coupling resonant system to generate electromagnetically induced transparency (EIT)-like effect and Fano resonance on silicon platform. It is composed of a microring resonator (MRR) and two cascaded Sagnac-loop mirrors (SLMs) assisted Fabry-Perot (FP) cavity on silicon-on-insulator. According to the coupling conditions of the MRR, two cases are studied theoretically. When the MRR is over coupling, EIT-like transmission can be observed. In contrast, Fano resonances can be generated by the condition of under coupling. In the experiment, the add-drop MRR is under coupling, leading to a sharp asymmetric line shape for Fano resonance. The resonance wavelength of the MRR can be dynamically tuned based on thermal-optic effects by tuning the micro-heater. The experiment results show Fano resonances with maximum extinction ratio (ER) of 23.22 dB and maximum slope rate (SR) of 252 dB/nm. Moreover, the wavelength of Fano resonance can be shifted widely with a tuning efficiency of 0.2335 nm/mW.

Subwavelength grating slot (SWGS) waveguide on silicon platform.

We present a subwavelength grating slot (SWGS) waveguide on silicon platform. The SWGS waveguide is characterized by the merging of a slot structure and a subwavelength grating (SWG) structure. The mode guiding mechanism (SWG slot mode) relies on the combination of surface enhanced supermode (slot mode) in a slot waveguide and Bloch mode (SWG mode) in an SWG waveguide. The mode properties and nonlinearities of silicon-based strip waveguide, slot waveguide, SWG waveguide and SWGS waveguide are studied in detail for comparison. It is found that the designed SWGS waveguide with SiO2/air cladding features greatly reduced nonlinearity due to the delocalized light from the silicon region. We also optimize the SWGS waveguide with varied geometries (silicon width, slot width, period, duty cycle) using the mode confinement factor and evaluation factor. An ultralow nonlinearity of 3.20 /W/m is obtained. Moreover, we design two types of compatible strip-to-SWGS mode converters, showing favorable performance with broadband high conversion efficiency. The obtained results indicate that the proposed SWGS waveguide with greatly reduced nonlinearity may find potential applications in chip-scale data transmission for optical interconnects. The SWGS waveguide with air cladding or low-refractive-index nonlinear material cladding may also see possible applications in optical sensing and nonlinear optical signal processing.

Compact tunable photonic comb filter on a silicon platform.

We propose and demonstrate a compact wavelength- and bandwidth-tunable photonic comb filter on a silicon platform. It is a Fabry-Perot (FP) cavity fabricated on silicon-on-insulator, which is composed of two cascaded Sagnac loop mirrors (SLMs) with multimode-interferometer-assisted Mach-Zehnder interferometer (MZI) couplers. The effective length of the FP cavity and the reflectivity of the SLMs can be dynamically changed based on thermal-optical effects by tuning three phase shifters along the cavity length and MZI arms, leading to center wavelength tuning and bandwidth tuning of the comb filter. Three tuning cases are investigated. By independently or simultaneously tuning three microheaters, center wavelength tuning with a tuning efficiency of ∼0.017 nm/mW and bandwidth tuning from 4.37 to 27.6 GHz are achieved in the experiment.

Graphene-silicon microring resonator enhanced all-optical up and down wavelength conversion of QPSK signal.

We fabricate a nonlinear optical device based on graphene-silicon microring resonator (GSMR). Using such graphene-assisted nonlinear optical device, we experimentally demonstrate up and down wavelength conversion of a 10-Gbaud quadrature phase-shift keying (QPSK) signal by exploiting degenerate four-wave mixing (FWM) progress in the fabricated GSMR. We study the conversion efficiency as a function of the pump power. In addition, the resonant wavelength of GSMR is tuned by changing the temperature from 20°C to 40°C. We evaluate the bit-error rate (BER) performance for up and down wavelength conversion. The observed optical signal-to-noise ratio (OSNR) penalties for QPSK up and down wavelength conversion are less than 1.4 dB at a BER of 1 × 10-3. The BER performance as a function of the pump power for up wavelength conversion is also assessed. The minimum OSNR penalty is less than 0.8 dB when the pump power is 13.3 dBm.