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Near-energy-free photonic Fourier transformation for convolution operation acceleration

Near-energy-free photonic Fourier transformation for convolution operation acceleration

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Convolutional operations are computationally intensive in artificial intelligence (AI) services, and their overhead in electronic hardware limits machine learning scaling. Here, we introduce a photonic joint transform correlator (pJTC) using a near-energy-free on-chip Fourier transformation to accelerate convolution operations. The pJTC reduces computational complexity for both convolution and cross-correlation from O ( N 4 ) to O ( N 2 ) , where N 2 is the input data size. Demonstrating functional Fourier transforms and convolution, this pJTC achieves 98.0% accuracy on an exemplary Modified National Institute of Standards and Technology inference task. Furthermore, a wavelength-multiplexed pJTC architecture shows potential for high throughput and energy efficiency, reaching 305 TOPS / W and 40.2 TOPS / mm 2 , based on currently available foundry processes. An efficient, compact, and low-latency convolution accelerator promises to advance next-generation AI capabilities across edge demands, high-performance computing, and cloud services.

Convolutional neural networks (CNNs) have emerged as a cornerstone of modern artificial intelligence (AI) and machine learning, driving advancements in image recognition, natural language processing, and other data-intensive tasks.15 That is, the supermajority (>90%) of computational overhead (e.g., power) in CNNs is taken up by performing convolution operations,6,7 performing pattern recognition to raw data by extracting features. At a higher abstraction level, convolutions perform filtering of an input signal with a kernel to reveal relevant features and hence extract meaningful information from data. Unfortunately, convolution operations scale with a high computational complexity, O(N4), for two-dimensional (N2) data (e.g., images) and same-size kernels, making them computationally expensive. Convolutions are routinely processed as time-serialized, kernel striding, processing of densified (not sparse) matrix-matrix multiplications, which scale as O(N3). Optimizing this paradigm over the last decade has led to significant performance gains, i.e., 1000-fold, in tensor operation acceleration and was instrumental in unlocking the AI service revolution we are witnessing today.8 However, scalability limitations of this near-brute-force approach are looming on the horizon, which have been recognized by data center and information-technology (IT)-related power consumption predictions,9 with a threat of heralding a possible AI “recession,” if not addressed by about 2030.10
To address these limitations and enable continued AI services scalability, the convolution theorem can be considered to provide a solution; here, a convolution operation is achieved as a straightforward dot-product multiplication, however, requiring being inside the Fourier domain. The latter is costly for electronics as the transformation into- and out of the Fourier domain costs O(N2Log(N)) plus the dot product multiplication for two-dimensional data. In contrast, implementing the Fourier transformation (FT) in optics is straightforward using a lens. Although free-space implementations of this concept, known as 4F systems, enable massive (∼106pixels) parallelism, it is limited to ∼100-Hz slow update rates when spatial light modulators are used,11 and tens of kHz using digital mirror display technology,1214 such free-space systems do not offer the GHz fast update rates nor take advantage of the semiconductor scaling and manufacturing capabilities including advanced packaging.
Unlike traditional computational filtering inside the Fourier domain (4F system),15,16 the complexity of a Fourier-based convolution operation machine learning (ML) accelerator can be further improved (i.e., reduced) by letting the kernel (i.e., filter) cross-correlate with the data inside the Fourier domain. That is, the kernel enters “front-end” alongside the data. This architecture, inspired by joint transform correlators (JTCs),1719 allows both the signal and kernel to reside in the same plane, eliminating the need for complex conjugation and relaxing alignment requirements.16,20 Consequently, the design requires fewer components (e.g., it eliminates the need for complex-number data input and phase alignment components such as phase shifters at the first lens’s back focal plane), simplifying implementation and maintenance, and potentially leading to lower fabrication costs and increased robustness when compared with a classical 4F system.
Here, we introduce an on-chip Fourier-based photonic joint transform correlator (pJTC) for efficient convolution operation acceleration. Novelties and innovations of the pJTC include (i) rapid kernel and data programmability a million times faster (∼GHz) compared with liquid crystal or micromirror-based approaches (∼kHz); (ii) leveraging standard photonic integrated circuit (PIC) components, trusted from optical transceiver technologies, with a novel process design kit (PDK) additions of an on-chip silicon photonics-based Fourier lens2123; and (iii) chip-integrated lasers for computational parallelization via spectral multiplexing and compact design leveraging photonic wire bonding technologies.2426 We experimentally test the fidelity of the photonic chip FT, address computational non-idealities via phase drift corrections, and evaluate the machine learning capability of the pJTC in an image classification task after training the system via an emulated-system model. Further, we show resilient operation by tuning the pJTC to account for hardware and data input/output-related non-idealities such as temporal jitter. We offer future system scale-out and scale-up performance opportunities toward large-scale implementation and computing pointing toward ∼5× improvements over state-of-the-art compute-in-memory tensor-based systems, and ∼100× over the latest graphics processing units (GPUs). This work demonstrates the feasibility of using pJTCs for ultra-fast and energy-efficient CNN processing. The pJTC’s ability to perform convolutions with reduced computational complexity has the potential to herald a wide range of AI application acceleration from autonomous systems to medical imaging.27

2.

Design and Implementation of pJTC

Convolution, a fundamental operation in CNN, involves filtering an input signal with a kernel to extract features. This process, mathematically equivalent to cross-correlation in the context of CNNs, is computationally intensive for large datasets. It can be performed in either the spatial or Fourier domain [Fig. 1(a)]. Spatial convolution (SC) is obtained by striding a kernel (k2) across the signal matrix (n2), a brute-force calculation with a computational complexity of O(N2k2). To improve efficiency, Fourier electrical convolution (FEC) based on the fast Fourier transform was developed, with a computational complexity of O(N2logN). Further enhancing efficiency, Fourier optical convolution (FOC) leverages the inherent parallelism of optics to perform Fourier transform and multiplication operations with high efficiency, achieving the lowest computational complexity of O(N2).12,28,29 Figure 1(b) illustrates how FOC can be achieved by a JTC. In the JTC, the input signal S(u,v) and kernel K(u,v) are combined and passed through a lens to generate their combined Fourier transform in the optical domain, represented as

Eq. (1)

E(u,v)=S(u,v)+K(u,v).

Fig. 1Download

Concepts to perform convolution operations forming the basis for many machine learning algorithms. (a) SC, FEC, and FOC in terms of computational complexity. N, data input; k, kernel size. Exemplary, shown a two-dimensional input, N2 (e.g., image). Reduced complexity scaling using an optical chip can be achieved via FOC, and photonic foundry processes enable chip-based implementation options, as demonstrated in this work. (b) FOC can be utilized in a JTC by optically generating the Fourier transform of the combined input signal and kernel, detecting the intensity pattern, and producing the auto- and cross-correlation between the signal and the kernel. Unlike a classical 4F optical system, the JTC offers fewer components, simplifying implementation and system stability and reducing fabrication complexity.
A group of square-law detectors captures the intensity of this combined signal at the Fourier plane, resulting in

Eq. (2)

I(u,v)=|S(u,v)|2+|K(u,v)|2+(|S(u,v)|×eφs(u,v))×(|K(u,v)|×e−φk(u,v)+j(ud+vd))+(|S(u,v)|×e−φs(u,v))×(|K(u,v)|×eφk(u,v)−j(ud+vd)).
This intensity pattern I(u,v) then passes through a second lens, producing the output as captured by a detector array. This output contains both the convolution of S(u,v) and K(u,v) [from the Fourier transform of the last two terms in Eq. (2)] and their auto-correlation [from the Fourier transform of the first two terms in Eq. (2)]. Inspired by the optical JTC, we design a pJTC, integrating all the necessary optical components—modulators, lenses, and photodetectors—on a single chiplet, to demonstrate an end-to-end feasible prototype of a pJTC accelerated convolution accelerator, which is a first steppingstone for the possibility for future volume production and system scalability. The detailed derivation process is shown in Sec. I in the Supplementary Material.
The pJTC is an innovative approach that integrates PIC components to enable Fourier-based data filtering on-the-fly. By leveraging light’s properties, such as low latency (∼10’s ps), low energy consumption (passive FT), and parallelism (e.g., wavelength division multiplexing), the pJTC offers an elegant method to perform convolution operations for CNNs and analog signal processing, enabling rapid and energy-efficient chip implementations (Fig. 2). In this approach, the data for both the input and kernel are encoded using optical signals from components, here micro-disk modulators (MDMs), processed through the on-chip FT Fresnel lenses, and ultimately detected using on-chip photodetectors [Fig. 2(a)]. An off-chip 1550-nm continuous-wave laser is coupled into the pJTC via a grating coupler aligned to an attached fiber array. The light input is evenly split into 16 beams using four groups of beam splitters. Each beam, representing either a signal element (s1∼8) or a kernel element (k1∼8), is modulated by one MDM. Modulation is achieved via a p-type–n-type semiconductor junction (p–n junction), driven by an off-chip microcontroller or function generator. After modulation, the beams are guided by the waveguides and arrive at the front focal plane of an on-chip Fresnel lens based on a silicon-on-insulator platform. The combined signal and kernel beams interfere as they propagate through the first Fresnel lens, undergoing a Fourier transform at the back focal plane. The optical signal is then sampled by 16 waveguides and detected by 16 photodetectors (PDs), implementing a nonlinear transformation (square function) in the electrical domain. The resulting electrical signals are collected by the microcontroller and used to drive another set of 16 MDMs, modulating a second set of optical beams. These beams propagate through a second on-chip Fresnel lens and are detected by a second group of 16 PDs, completing the inverse Fourier transform and yielding the convolution of the signal and kernel. Based on the design above, the pJTC chiplet was fabricated through AIM Photonics, showcasing the integrated photonic components and waveguide routing [Fig. 2(c)]. A custom printed circuit board (PCB) was developed to interface the pJTC chiplet with its electrical controllers (heaters, monitoring photodetectors), low-speed, low-energy transimpedance amplifiers, digital-to-analog converters (DACs), and analog-to-digital converters. This PCB enables integration of the pJTC chiplet into the electronic data system, facilitating control, readout, and connection to other components. The packaged pJTC, shown with an eight-channel fiber array connected to the PCB [Fig. 2(b)], provides a compact and integrated solution for optical signal processing.

Fig. 2Download

Design, package, and test of the pJTC chiplet and prototype. (a) Schematic of the pJTC including silicon photonic (SiPh) chiplet and off-chip controller. (b) Packaged pJTC with the SiPh chiplet, custom PCB, and an eight-channel fiber array. (c) Optical microscope image of the fabricated SiPh chiplet from AIM Photonics. (d) Measured spectrum of the pJTC MDM exhibits a Q-factor of 4500 and an extinction ratio of ∼10dB, demonstrating its suitability for modulation and providing sufficient isolation to minimize wavelength-crosstalk. (e) Comparison of the measured power difference between the MDM output and input with the simulated response in Ansys Lumerical Interconnect as a function of the bias voltage on MDM. Inset: eye diagram of the pJTC PD with MDM modulated at an operating speed of 1 GHz, illustrating clear signal integrity and low jitter. (f) Simulation results of the pJTC on-chip Fresnel lens obtained using Ansys Lumerical FDTD, showing efficient light focusing and directing. (g) SEM image of the on-chip Fresnel lens and zoomed-in image of its part. (h) Thirty repeated measurements of the output differential of PDs by cycling between all-0 inputs and all-1 inputs yielded a standard deviation of 78.9 nW, demonstrating high stability in performance. (i) Stability analysis of the combined voltage signal from all the PDs over a 24-h period, demonstrating consistent total ER while cycling between Input0 (all-0 state) and Input1 (all-1 state). (j) Aggregated voltage output from the PDs for all possible input combinations across 16 MDMs (216=65,536), each modulated with a 1-bit signal. The 16 distinct periodic signals observed confirm the reliability and consistent operation of the pJTC.

3.

Testing, Results, and Discussion

Following fabrication of the pJTC chiplet by AIM Photonics, we validated the optoelectronic components and the entire prototype system for convolution functionality. First, initial calibration involved aligning the resonance of each MDM with the common input laser wavelength by precisely tuning the integrated heaters. This iterative process accounted for thermal crosstalk among closely spaced heaters. One measured MDM spectrum exhibited a Q-factor of 4500 and an extinction ratio (ER) of ∼10dB [Fig. 2(d)], confirming its suitability for modulation and providing sufficient isolation to minimize wavelength crosstalk and maximize the signal-to-noise ratio (SNR). Second, to verify the p–n junction modulation functionality of the MDMs, the measured power difference between the output and input was compared with simulations performed in Ansys Lumerical Interconnect [Fig. 2(e)]. Noise measurements were conducted at the receiver side, varying the input modulator intensity to determine the ER and noise level of each PD. Eye diagrams in the insert of Fig. 2(e) at 1-GHz operation showed an open eye indicative of sufficient signal integrity and low jitter at those speeds and modulator format. The low power difference, attributed to the low input laser power required for increased power efficiency, aligned well with simulation results, confirming the efficient operation of the MDMs. Further calibration of the modulation intensity of each MDM ensured multi-level modulation capability across all MDMs. The performance of the pJTC’s on-chip Fresnel lens was simulated using Ansys Lumerical finite-difference time-domain (FDTD) (see Sec. VI in the Supplementary Material). FDTD simulation results [Fig. 2(f)] demonstrate efficient light focusing and directing while also revealing diffraction effects from the input waveguides. Figure 2(g) presents a scanning electron microscope (SEM) image of the on-chip Fresnel lens, with a magnified view of a representative region inset. To mitigate crosstalk arising from boundary reflections, the Fresnel lens width was optimized to balance footprint and crosstalk suppression. The results validate the effectiveness of the on-chip Fresnel lens in performing Fourier transformations, a crucial aspect of the pJTC’s convolution operation.
The aforementioned component-level measurements enable the determination of bit resolution for each receiver; to assess the stability of each input in the pJTC, we conducted 30 repeated measurements of the output differential of photodetectors (PDs) by cycling between all-0 inputs and all-1 inputs, capturing the results in both states [Fig. 2(h)]. The obtained standard deviation of 78.9 nW is less than 4% of the average output differential, demonstrating decent stability. In addition, a stability analysis of the combined voltage signal from all PDs over a 24-h period shows in Fig. 2(i). Consistent performance was observed with constant input voltages applied to the MDMs: Vmin=−1.5V for Input0 (all-0 state) and Vmax =−0.2V for Input1 (all-1 state). The stable ER throughout this period points to long-term operational stability of the pJTC chiplet and packaged approach. To evaluate stability across a wider range of input values, all possible input combinations across the 16 MDMs (216=65,536) were tested [Fig. 2(j)], each modulated with a 1-bit signal. The aggregated voltage output from the PDs exhibited 16 distinct periods, confirming the pJTC’s reliability and consistent operation.
Overall, initial experimental and simulation results at both the component and system levels demonstrate the successful fabrication, integration, and operation of the pJTC chiplet, with observed performance characteristics, including efficient modulation, low crosstalk, accurate Fourier transformation, and stable operation, thus paving the way for the pJTC’s applications in an controlled environment (as tested). Beyond stable data center environments, future tests of emerging photonic ML accelerators, such as the pJTC, shall include impacts from thermal and other harsh environments, especially for edge applications (e.g., thermal shock, humidity, and rad-hard).
The on-chip Fresnel lens is a key component of the photonic JTC system, and its functional accuracy directly impacts overall performance in terms of convolution accuracy (Fig. 3). Experimental characterization of the lens [yellow line in Fig. 3(b) and third column of the Modified National Institute of Standards and Technology (MNIST) handwritten digits in Fig. 3(c)] reveals a deviation from the ideal Fourier transform [blue line in Fig. 3(b) and second column of the MNIST handwritten digits in Fig. 3(c)]. This requires a one-time calibration step, rationalized and performed as follows: this discrepancy can be attributed to various factors, including lithographic limitations in lens fabrication and variations in the silicon substrate (thickness and roughness) across the Fresnel lens footprint. We focused on mitigating the impact of the optical effective path length differences among input waveguides, which can arise even after careful waveguide length equalization due to inherent silicon variations from the foundry process. To address this, we developed a model [Fig. 3(a)] that incorporates the amplitude and phase contributions from the MDMs, a phase term accounting for path differences, and the Fourier transform performed by the Fresnel lens. The modulator parameters were obtained from the foundry’s PDK, whereas the Fresnel lens was modeled as an ideal Fourier transform. To determine the phase shifts caused by path differences, we collected a comprehensive dataset of input–output combinations and employed an optimization algorithm to minimize the error between the model and experimental results by adjusting the phase terms. The pink line in Fig. 3(b) demonstrates the effectiveness of this approach, showing a close match between the experimental outcome after phase correction and the ideal Fourier transform model [blue line in Fig. 3(b)]. Furthermore, Fig. 3(c) illustrates the impact of this correction on the recognition of MNIST handwritten digits. Although the “actual” performance is initially suboptimal, it can be effectively calibrated. This calibration process accounts for the optical path length differences in each channel, with a computational complexity dependent on the number of channels and the bit resolution per channel. Once determined, these static optical path length differences are compensated for using photonic phase shifters. The results obtained after phase correction closely resemble those of an ideal FT system, confirming that accurate CNN operation is achievable despite the non-ideal optical effective path differences. For future implementations, in addition to precise waveguide balancing, we envision incorporating phase-change material (PCM)-based components30,31 as energy-efficient on-chip calibration channels, enabling non-volatile tuning of individual optical paths, offering further refinement and control over the system’s performance.

Fig. 3Download

Phase correction for the on-chip Fresnel lens. (a) Model incorporating sub-micron path differences among input waveguides before the Fresnel lens enabling stabilized image classification after an initial calibration step as follows (see Supplementary Material for further details). (b) Comparison of a representative cross-section taken from the same MNIST digit image [“3” shown in panel (c) at various stages of processing: the initial MNIST image (green line), the output after an ideal Fourier transform (blue line), the output after the actual on-chip lens Fourier transform (yellow line), and the calibrated output obtained from the actual on-chip lens after applying phase correction (pink line)].
Next, we investigate the obtainable machine learning training fidelity by pJTC chiplet emulation [Fig. 4(a)]; we trained our neural network off-chip using a comprehensive physical model that accurately captures the electro-optical system’s behavior, including non-idealities such as waveguide sampling effects, electrical signal delays, MDM modulating depth, and SNR of the PDs (see Sec. II in the Supplementary Material). After validating the model through simulations and retraining the fully connected (FC) layer to compensate for any discrepancies, we achieved high classification accuracy on the MNIST dataset. Due to electrical path length deviations in our PCB, each channel experiences temporal delays in the input electrical signals. We estimate these deviations to be ∼10% for RF signals at 10 GHz and 1% for RF signals at 1 GHz. To assess the impact of these delays, we emulated the system with four different levels of random temporal delay: 0%, 1%, 5%, and 10%. For the MNIST dataset, we observed an accuracy of 98.0% with no temporal delay and 97.2% with 1% random temporal delay, which monotonically declined to 95.3% with 10% random temporal delay [Figs. 4(b)4(e)]. The pJTC’s performance is also evaluated on the Fashion-MNIST dataset. The matrices illustrate classification accuracy for 10,000 test images with 0%, 1%, 5%, and 10% random delay introduced in the input electrical signal, achieving total accuracies of 88.5%, 87.9%, 87.3%, and 85.2%, respectively [Figs. S1(a)–S1(d) in the Supplementary Material]. The minimal accuracy drops of only 1.9% (for MNIST) and 2.7% (for Fashion-MNIST) as the delay increases from 1% to 10% highlight the robustness of our system to electrical signal delays.

Fig. 4Download

JTC-based CNN inference test and temporal (jitter) signal analysis. (a) Physical model of the input kernel layer is used to train the entire system and obtain the optimal weights for the kernel, which are then loaded into the input kernel channels. Experimentally obtained results from the input kernel layer are fed to the FC layer for performing the final prediction on unseen data. (b)–(e) Confusion matrices as a junction of channel-to-channel jitter from emulation demonstrate a high degree of stability of the pJTC on a mock dataset (MNIST) classifying handwritten digits. The matrices show the classification accuracy for 10,000 test images with 0%, 1%, 5%, and 10% random delay introduced in the input electrical signal, achieving total accuracies of 98.0%, 97.2%, 96.9%, and 95.3%, respectively.

4.

System Resiliency and Scale-Up

Automation and intelligent computing have become the single most dominant driver of the digital age in the 21st century. Specifically, AI and ML business products have become an economic force; 80% of all corporations reported having at least one AI product, a trend rapidly rising.32 This parallels the demand for data center unit expansions with another 80 GW projected to be installed by 2030 in the United States.32 Such computing and AI demands require novel devices, chiplet, package, supply chain, and ecosystem approaches. Notably, most of the 1000× compute performance gains in GPUs over the past decade were based on factors other than field-effect transistor (FET) scaling improvements.8 To unlock the next 1000× AI and high-performance computing (HPC) gains, innovations in chip packaging, architecture, 3D heterogeneous integration of electronic and photonic chips alike, a leaner, and more secured supply chain are needed.
The rapid advancement of HPC and AI applications, particularly in ML and deep learning, has led to an exponential increase in the demand for high-bandwidth, low-latency, and energy-efficient communication among processing cores on a chip. Traditional electrical interconnects are struggling to keep up with these demands due to their limited bandwidth, high latency, and significant power consumption riven from charging and discharging densely coupled and capacitance-generating wiring.
To provide a forward looking benchmark of a photonic passive Fourier-based convolution accelerator against state-of-the-art ML systems, Fig. 5 is an attempt; operating a single pJTC chiplet prototype at 10 GHz gives a computational footprint density of 0.16TOPS/mm2 and a computational efficiency of 3.0TOPS/W, which is below electronic counterparts such as NVIDIA GPU A100, H100, and B20033 as well as academic convolutional accelerators.34,35 To unlock the full potential of a scaled pJTC, we optimized the on-chip Fresnel lens by adjusting its input waveguide pitch and slot dimensions (Figs. S2–S4 in the Supplementary Material). To further enhance parallel processing capabilities, we propose an upgraded pJTC architecture incorporating wavelength division multiplexing (WDM), as shown in Fig. S5 in the Supplementary Material. This design enables computational parallelization through chip-integrated lasers utilizing spectral multiplexing and a compact layout leveraging photonic wire bonding technologies.2426 The system features n-wavelength and m-channel input signals and kernels modulated by MDMs, optimizing efficiency and scalability. The same signal is shared among all the n-wavelength to save the number of MDMs to reduce the power consumption while maintaining the same throughput. Each waveguide carries n-wavelength optical signals, which are then separated by additional n×m MDMs before being collected by n×m PDs. The electrical outputs from the PDs are summed channel-by-channel across all groups. These summed results then modulate MDMs at a specific wavelength, pass through another on-chip Fresnel lens, and are finally detected by a group of PDs. Figure 5 presents the performance comparison of the upgraded pJTC with state-of-the-art electronic neural networks3335 and photonic neural networks.3639 Computational efficiency improves with increasing channel number (m), but computational footprint density begins to decrease beyond 16 channels (gray dashed lines in Fig. 5, details in Fig. S6 in the Supplementary Material). This decrease is attributed to the footprint increasing faster than the absolute computational speed, particularly due to the Fresnel lens’s footprint (pie charts in Fig. 5). In contrast, both computational efficiency and computational footprint density increase with wavelength number (n). This is because the Fresnel lens’s footprint remains constant, and the footprint increase of other components is slower than the gain in absolute computational throughput. Specifically, many MDMs and DACs for different wavelengths at the input planes of both on-chip Fresnel lenses can be shared. Considering SOTA PDK on-chip electrical components, one can achieve a 305-TOPS/W accelerator (256 Ch#, 32 wavelengths) and a 40.2-TOPS/mm2 accelerator (32 Ch#, 32 wavelengths). Excluding electrical components, i.e., only the photonic chiplet, offers a 987-TOPS/W accelerator (256 Ch#, 32 wavelengths) and a 50.8-TOPS/mm2 accelerator (32 Ch#, 32 wavelengths). For detailed assumptions and calculations, see Sec. VI in the Supplementary Material. To increase the computational footprint density of the pJTC with a higher channel number, optimizing the Fresnel lens is crucial, which can be realized by the following: (1) boundary absorption techniques, leveraging principles from stealth RF technology to minimize 1D lens width, potentially through absorption shape/metamaterial design for wide-angle performance, and (2) lens folding in length, especially when the propagation width is significantly less than the length. To improve the computational energy efficiency of the pJTC further, minimizing optical-to-electrical (O-E) and electrical-to-optical (E-O) conversion losses is crucial. Advancements in pJTC technology hold the potential to revolutionize real-world applications that rely on CNNs, including autonomous driving, medical imaging, and natural language processing. The ultra-fast and energy-efficient processing capabilities of pJTCs can enable these applications to tackle more complex tasks with greater speed and accuracy.

Fig. 5Download

Machine learning accelerator comparison. Computational efficiency (TOPS/W) and footprint density (TOPS/mm2) of WDM-parallelized pJTC architectures versus electronic neural GPUs (gray dots) and academic convolutional accelerators (black dots), demonstrating the effects of varying channel (Ch#) and wavelength (WDM) numbers. Insets show a growing Fresnel lens footprint contribution on the chip area, making the case for mid-size photonic pJTC chiplets for optimized throughput-area efficiency. Dashed lines highlight the decrease in computational footprint density beyond 16 channels. This comparison also details achieved performance with solid (star shape) versus open (circle shape) dots for including the electrical drive and mixed-signal conversion circuitry. For details, see Sec. VII in the Supplementary Material.

5.

Conclusion

This work demonstrates a pJTC capable of performing optical convolution for efficient CNNs. The integrated design combines optical components such as modulators, lenses, and photodetectors on a single chip, enabling compact and scalable implementation. Rigorous testing validated the pJTC’s functionality, including accurate Fourier transforms and stable operation. Non-idealities in the on-chip lens were effectively compensated through phase correction techniques. A comprehensive physical model was used to train the neural network off-chip, achieving high accuracy on the MNIST dataset even with simulated electrical signal delays. Future work will focus on increasing parallelism by incorporating multiple wavelengths and channels, further enhancing the pJTC’s efficiency and enabling it to tackle more complex image recognition tasks. This technology holds immense potential for revolutionizing applications such as autonomous driving, medical imaging, and natural language processing, where fast and energy-efficient CNN computations are crucial.
This content is taken from SPIE--International Society for Optics and Photonics
List of Referenes
  1. Hangbo Yang, Nicola Peserico, Shurui Li, Xiaoxuan Ma, Russell L. T. Schwartz, Mostafa Hosseini, Aydin Babakhani, Chee Wei Wong, Puneet Gupta, Volker J. Sorger. Near-energy-free photonic Fourier transformation for convolution operation acceleration. Advanced Photonics, 2025; 7 (05) DOI: 10.1117/1.AP.7.5.056007

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"Near-energy-free photonic Fourier transformation for convolution operation acceleration", MachPrinciple, September 12, 2025, https://machprinciple.com/post/Near-energy-free-photonic-Fourier-transformation-for-convolution-operation-acceleration

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