The ELM system builds on basic principles, including avoiding complex training methods such as backpropagation. It bridges the concepts of reservoir computing and optical neural networks using nonlinear propagation in fibers as a computational medium. The team aims to extend previous proof-of-concept optical ELMs by providing a quantitative framework based on dimensionality via principal components analysis and consistency metrics.

Three-step process

The entire process of executing the team’s approach can be divided into three steps:

First, information is encoded by modulating the spectral phase of femtosecond laser pulses using a spatial light modulator. Optical fiber is used to confine light to a smaller area. With an encoded relative delay consistent with an image, the team found that the subsequent spectrum that’s transformed by the nonlinear interaction of light and glass has enough information to classify catalog handwritten digits. The researchers liken it to the conventional Modified National Institute of Standards and Technology (MNIST) database, a large collection of handwritten digits commonly used for training image processing systems.

Next, these modulated pulses propagate through the nonlinear fiber, where nonlinearity and dispersion induce spectral broadening. Hary says this “acts as a nonlinear transformation of the information.” And lastly, the output spectrum is collected with an optical spectrum analyzer; the linear readout operation is computed offline.

“There is a growing demand for analog optical processors that can perform real-time signal classification and metrology with minimal latency and power,” Hary says.

Notable findings

In their work, the researchers discovered performance and nonlinearity are not monotonically related. “More input power does not always mean better performance,” Hary says. “The system reaches its best classification accuracy of up to 87% at moderate power.”

She says the team’s best results were achieved when the MNIST images were heavily compressed down to 20 to 40 components, rather than using the 784 they started with. This suggests their ELM system acts as a powerful feature expander.

The researchers also discovered the dynamics useful for computing are confined within 40 nm around the pump, but also that nonlinear broadening can spread light over hundreds of nanometers.

“In my opinion, the most interesting finding is the introduction of a new methodology for benchmarking optical neural networks,” Hary says.