Gandhi Alagappan’s research while affiliated with Institute of High Performance Computing and other places

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Publications (19)


Advancing Detector Shielding with Thermo-Optic Defocusing in PMMA Integrated on Silicon Nitride
  • Conference Paper

January 2025

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2 Reads

Soon Lim

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Thomas Ang

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Zifeng Yuan

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[...]

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Gandhi Alagappan

(Upper and middle panels) Schematic of the on‐chip optical power limiter. (Lower panel) Fabrication steps.
Temperature distribution as a function of input power in the free‐space region for the plane x = 0. Note the single colormap for all input powers.
Evolution of the electric field radiation pattern as a function of input power in the free‐space region for the plane x = 0.
a) Evolution of beam waist as a function of input power in the free‐space region. b) Divergence angle as a function of input power. The dashed lines in the figure represent divergence angle for Gaussian beams with beam waists of 5 µm (red) and 10 µm (blue).
a) Collection efficiency of receiving antenna as a function of input power for a waveguide with d = 10 µm, w = 15 µm, and L = 3z0. b) Output power as a function of input power for a waveguide with d = 10 µm, w = 15 µm, and L = 3z0. c) Output power as a function of input power for a waveguide with d = 10 µm, L = 3z0 and for all w.

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On‐Chip Optical Power Limiter for Quantum Communications
  • Article
  • Publisher preview available

January 2024

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28 Reads

This article presents an on‐chip optical power limiter that utilizes the thermo‐optical defocusing effect. A pair of input and output waveguides is designed to mimic emitting and receiving antennas. The waveguides are separated by a free‐space region filled with poly‐methyl‐meth‐acrylate (PMMA) material, which has a negative thermal‐optic coefficient that causes a decrease in refractive index with an increase in temperature. As the power in the input waveguide increases, the refractive index of the free‐space region decreases, which in turn increases the radiated beam's divergence angle with respect to input power. The empirical findings demonstrate that the non‐linear divergence angle can be written as θ0+kPθ0+kP{\theta }_0 + kP, where θ0 represents the divergence angle of the equivalent Gaussian beam, k is a waveguide‐specific constant, and P is the input power. The edge of the receiving waveguide is tapered to adjust the coupling of the divergent beam to the output waveguide. The taper width is optimized to minimize insertion loss. The devices are two orders lengthwise smaller compared to the bulk demonstration, and they exhibit low loss ranging from 0.2 to 10 dB.

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Deep learning accelerated discovery of photonic power dividers

March 2023

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79 Reads

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3 Citations

This article applies deep learning-accelerated inverse design algorithms and discovers a spectrum of photonic power dividers with exceptional performance metrics despite the simplicity in the design geometry. The deep learning models exhibit high precisions on the order of 10−6 to 10−8 for both TE and TM polarizations of light. These models enable ultrafast search for an empirically describable subspace that simultaneously satisfy compact footprints, ultralow losses, ultrawide bandwidth, and exceptional robustness against fabrication randomness. We demonstrate a spectrum of devices for silicon photonics with programmable power splitting ratios, excess losses as small as 0.14 dB, to the best of our knowledge, the smallest footprints on the scale of sub-λ 2, and low loss bandwidths covering the whole telecommunication spectrum of O, S, E, C, L and U-bands. The robustness of the devices is statistically checked against the fabrication randomness and are numerically verified using the full three-dimensional finite difference time domain calculation.


Tuning of silicon nitride micro-cavities by controlled nanolayer deposition

September 2022

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156 Reads

Integration of single-photon emitters (SPEs) with resonant photonic structures is a promising approach for realizing compact and efficient single-photon sources for quantum communications, computing, and sensing. Efficient interaction between the SPE and the photonic cavity requires that the cavity's resonance matches the SPE’s emission line. Here we demonstrate a new method for tuning silicon nitride (Si3N4) microring cavities via controlled deposition of the cladding layers. Guided by numerical simulations, we deposit silicon dioxide (SiO2) nanolayers onto Si3N4 ridge structures in steps of 50 nm. We show tuning of the cavity resonance exceeding a free spectral range (FSR) of 3.5 nm without degradation of the quality-factor (Q-factor) of the cavity. We then complement this method with localized laser heating for fine-tuning of the cavity. Finally, we verify that the cladding deposition does not alter the position and spectral properties of nanoparticles placed on the cavity, which suggests that our method can be useful for integrating SPEs with photonic structures.


Leveraging AI in Photonics and Beyond

January 2022

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324 Reads

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18 Citations

Artificial intelligence (AI) techniques have been spreading in most scientific areas and have become a heated focus in photonics research in recent years. Forward modeling and inverse design using AI can achieve high efficiency and accuracy for photonics components. With AI-assisted electronic circuit design for photonics components, more advanced photonics applications have emerged. Photonics benefit a great deal from AI, and AI, in turn, benefits from photonics by carrying out AI algorithms, such as complicated deep neural networks using photonics components that use photons rather than electrons. Beyond the photonics domain, other related research areas or topics governed by Maxwell’s equations share remarkable similarities in using the help of AI. The studies in computational electromagnetics, the design of microwave devices, as well as their various applications greatly benefit from AI. This article reviews leveraging AI in photonics modeling, simulation, and inverse design; leveraging photonics computing for implementing AI algorithms; and leveraging AI beyond photonics topics, such as microwaves and quantum-related topics.


Fig. 3: The theoretically estimated optical properties as a function of additional SiO2 layer thickness, red and blue colors represent TE and TM polarizations, respectively: (a) Effective refractive index, (b) Group Refractive Index, and (c) the coefficient D for the waveguide with h = 250 nm, w = 480. (d) and (e) Theoretically estimated resonance wavelengths of the ring cavity (R = 8 µm) for the cavity widths (d) 330 nm, and (e) 480 nm, respectively. Circles are obtained from Eqn. 2, while the solid lines are empirical fits given by Eqn. 3.
Fig. 5: Experimental results for tuning the resonance wavelength as a function of additional SiO2 layer thickness. The experimental points are plotted as crosses, while solid lines represent theoretical curves. Red and blue colors represent TE and TM polarizations, respectively.
Fig. 6: Experimental tuning of the resonance wavelength for Si3N4 ring cavity clad with 300 nm of SiO2 by local heating with 532 nm laser. (a) Spectral profiles of the resonances for different pump powers of heating laser; (b) the dependence of reversible shift of the central resonance wavelength on applied pump powers of heating 532 nm laser. The red dotted line is a fit indicating the linear dependence of the refractive index (tuning) on temperature.
Fig. 7: SEM picture of nanodiamonds placed on top of Si3N4 ring cavity before (a) and after (b) SiO2 deposition of 500 nm thickness.
The values of B and a in the empirical relationship of Eqn. 3. Mode 1 has higher m than mode 2.
Tuning of Silicon Nitride Micro Cavities by Controlled Nanolayer Deposition

September 2021

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69 Reads

Integration of single-photon emitters (SPEs) with resonant photonic structures is a promising approach for realizing compact and efficient single-photon sources for quantum communications, computing, and sensing. Efficient interaction between the SPE and the photonic cavity requires that the cavity's resonance matches the SPE emission line. Here we demonstrate a new method for tuning silicon nitride (Si3N4) microring cavities via controlled deposition of the cladding layers. Guided by numerical simulations, we deposit silicon dioxide (SiO2) nanolayers onto Si3N4 ridge structures in steps of 50 nm. We show tuning of the cavity resonance over a free spectral range (FSR) without degradation of the quality-factor (Q-factor) of the cavity. We then complement this method with localized laser heating for fine-tuning of the cavity. Finally, we verify that the cladding deposition does not alter the position of nanoparticles placed on the cavity, which suggests that our method can be useful for integrating SPEs with photonic structures.


Prediction of electromagnetic field patterns of optical waveguide using neural network

April 2021

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398 Reads

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12 Citations

Neural Computing and Applications

Physical fields represent quantities that vary in space and/or time axes. Understanding the distribution of a field pattern is a key element in scientific discoveries and technological developments. In this article, by picking up the electromagnetic field of an optical waveguide as an example, we demonstrate how field patterns can be uncovered using artificial neural networks. The cross section plane of the optical waveguide is discretized into a set of tiny pixels, and the field values are obtained at these pixels. Deep learning model is created by assuming the field values as outputs, and the geometrical dimensions of the waveguide as inputs. The correlation between the field values in the adjacent pixels is established by mean of feedback using a recurrent neural network. The trained deep learning model enables field pattern prediction for the entire (and usual) parameter space for applications in the field of photonics.


(a) Schematic of the waveguide cross section. (b) Schematic of the deep learning model. (c) An example of neural network architecture. Green circles represent neurons, and blue circles represent input/output nodes.
Performance error as a function of neuron layout indices for neural networks with (a) one, (b) two, and (c) three hidden layers.
Glimpse of neural network predictions of effective refractive indices when trained with the dataset of (i.e., using 27 learning data points). (a) Input parameter space with the learning data points. Effective indices [, blue; , red] as a function of (a) [ is varied along the green-colored line in (a)], (b) [ is varied along the black-colored line in (a)], and (c) [ is varied along the orange-colored line in (a)]. In (b)–(d), circles and solid lines represent neural network predicted and exact numerical results, respectively.
(a) Optimized mean squared error for the best performing neural network () as a function of dataset size and for varying number of neural network hidden layers (). Key—blue: , red: , green: . (b) Optimized mean relative error for the same configuration as in (a). (c) Optimized mean squared error for the best performing neural network for the one-layer neural network, and the interpolation techniques. Key—blue circles: one-layer network with [reproduced from (a)], dotted blue line: one-layer network with , pink circles: linear interpolation, orange circles: cubic spline interpolation. (d) Optimized mean relative error for the same configuration as in (c).
(a) Training time and (b) prediction time the best performing neural network () as a function of dataset size, and for varying number of neural network hidden layers (). Key—blue: , red: , green: . (c) Comparison of calculation time and mean squared error for optimized neural networks (trained with ), interpolation, and exact methods.
Universal deep learning representation of effective refractive index for photonics channel waveguides

September 2019

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83 Reads

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9 Citations

An optical waveguide is the fundamental element in a photonic integrated circuit. This paper establishes a universal deep learning representation for the effective refractive index of an optical channel waveguide for the entire and usual parameter space for applications in photonics. The deep learning model is able to make precise predictions for wide spectrum optical wavelengths, dielectric materials of refractive indices varying from 1.45 to 3.8, and a wide range of feasible geometrical parameters of the waveguides. The deep learning model consists of fully connected feedforward neural networks, and rigorous optimization of neural network architecture is carried out. Deep learning models with two and three hidden layers provide rapid convergence with a minimal number of training data points and offer unprecedented precisions that are a few orders better in magnitude than the conventional interpolation techniques.



Deep learning models for effective refractive indices in silicon nitride waveguides

February 2019

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98 Reads

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24 Citations

This article displays the method of constructing deep learning models for optical mode solving, with a minimal number of exact numerical solutions to Maxwell’s equations. We select a silicon nitride channel waveguide and show how the patterns in the effective refractive indices of the fundamental waveguide modes for both polarizations of light, can be uncovered with only 4–16 learning points for the entire parameter space that can be conveniently accessed using existing photo-lithographical and CMOS fabrication techniques. We also illustrate the effect of various transfer functions and neural network layouts to the overall performance of the deep learning model.


Citations (13)


... 20 This representation can be used repeatedly to design power dividers with different power-splitting ratios. 21 Particularly, DNNs can be employed to predict the optical response of a given topology (Forward Design) and to design a topology that achieves a target optical response (Inverse Design). 22 This study specifically focuses on designing photonic crystal power dividers using a deep learning strategy to accelerate the design process and more effectively explore the solution space. ...

Reference:

A deep learning approach for high-resolution and enhanced efficiency in photonic power dividers
Deep learning accelerated discovery of photonic power dividers

... Data-driven approaches have gained traction in the field of photonics, as they provide a more efficient alternative for design optimization [10,11]. These methods leverage machine learning models to explore complex design spaces and identify optimal solutions without the need for exhaustive simulations. ...

Leveraging AI in Photonics and Beyond

... These endeavors primarily fall into two distinct categories: optimization and inverse design [18]. Within the optimization realm, machine learning techniques serve to expedite the iterative process by evaluating numerical solutions [19,20]. Conversely, inverse design specifies the system's desired optical characteristics, allowing the network to derive an appropriate solution autonomously [21,22]. ...

Prediction of electromagnetic field patterns of optical waveguide using neural network

Neural Computing and Applications

... In opaque conductive substrates, long-range Coulomb interactions allow the mapping of the target area in the non-contact mode and can guide the ND placement [174]. After transfer, the ND position can be adjusted by an AFM tip in contact mode [171,175]. Intersubstrate transfer of NDs is also possible using nano-manipulators, integrated into an SEM chamber, offering nanoscale precision and real-time monitoring [172,176]. Pick-and-place transfer of NDs from the substrate to nanofibre-coupled systems has been demonstrated using glass probe manipulators with real-time optical imaging, albeit with microscale precision [177,178]. ...

Coupling Quantum Emitters in Nanodiamonds to Microring Resonators for Integrated Quantum Photonics
  • Citing Conference Paper
  • June 2019

... For effective refractive index modelling, we adapted the architecture developed in Ref. 29 . In Ref. 29 , a rigorous architecture optimization was carried out for photonic data sets of varying size. ...

Universal deep learning representation of effective refractive index for photonics channel waveguides

... It achieved high numerical accuracy in plasmonic meta-surfaces. Moreover, a conventional multilayer FCNN proved successfully in solving effective refractive indices of the fundamental waveguide mode in a silicon nitride channel waveguide, accommodating both polarizations of light [34]. Nowadays, the applications of DL in the field of RF and microwave are attracting more and more attention [35], [36], [37], [38]; Chauhan et al. [39] designed two types of RF windows with excellent performance using particle swarm optimization (PSO) algorithm, showing the potential application of DL in the field of microwave. ...

Deep learning models for effective refractive indices in silicon nitride waveguides

... AI models can be trained to achieve high accuracy in predicting the performance of an optical modulator [21]. The work of Gandhi Alagappan and Ching Eng Png [25] is among the first articles to utilize deep learning models for classifying optical waveguide geometries as either single-mode or multi-modal. Ma et al., conducted a detailed evaluation of the achievements in deep learning-based photonic design in [21]. ...

Modal classification in optical waveguides using deep learning
  • Citing Article
  • December 2018

Journal of Modern Optics

... The authors found a conclusive result dealing with an improvement in the oil recovery rate based on the control of nanomineral complexes by inducing the effect of capillary value change, which induces a modification in the behavior of the clay mineral [6]. On the other hand, regarding QC, there are reports of several SLR's but they range mostly in quantum machine learning and its applications [7], cloud QC [8], or data routing problems [9], and none of them touch the interrelation nanotechnology-QC that we are approaching in this publication in our SLR proposal. For example, Laucht et al. [9] emphasize solid phase physics by mentioning materials such as graphene, Si, and SiC where the scientists are expecting to instantiate the qubits generation for allowing miniaturization in the upcoming years. ...

Enhancing Optical Readout from Diamond AFM Tips for Quantum Nanosensing
  • Citing Article
  • October 2018

ACS Photonics

... [8] Additional strategies to manipulate SiV − have been facilitated by accurate placement of NDs on nano-fibers [11] and 2D photonic crystal cavity (PCC) [12,13], resulting in enhanced emission. Insertion of NDs in nano pockets of PCC [14,15] and fiber micro-cavities [11,16] has also been utilized as a strategy for emission enhancement. However, the above techniques typically require complex fabrication processes, and emitter-cavity mode alignment becomes challenging. ...

Diamond in a Nanopocket: A New Route to a Strong Purcell Effect

ACS Omega

... Our prior works show that such structures fundamentally possess a unique spectral region in which a dense number of flat bands naturally appears [10][11][12][13]. Therefore, they have the great ability to revolutionize strong light-matter interactions by realizing a novel class of topologically-singular states [14][15] (including embedded eigenstates), frequency combs [16], broadband light localization [17], and efficient nonlinear devices [18]. ...

Flat bands of optical dielectric beats