Masaya Notomi’s research while affiliated with Tokyo Institute of Technology and other places

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Publications (588)


Advancing photonic crystal devices by non-Hermitian degeneracies
  • Conference Paper

March 2025

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2 Reads

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Masaya Notomi

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Adam Mock

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Fig.1. (a) Overview and (b) cross-section of the investigated waveguide structure schematic. The left most inset details the PhC modulation. (c) í µí±¤ dependence of the propagation loss computed for the unmodulated structure with (∆í µí±¤ = 0). (d) Real and (e) imaginary dispersion curves for the unmodulated waveguide when í µí±¤ = 2.4 μm. The numerical results were of the FEM simulations.
Fig.2. (a) Real-value dispersion curves of the air and dielectric modes computed with í µí±¤ = 2.4 μm and ∆í µí±¤ = 0.36í µí±¤. Solid lines are of the theoretical mode discussed in the main text. (b) í µí°¸íµí°¸í µí± § field distributions for the investigated two modes evaluated at X point. (c) í µí±› í µí±” of the air mode as a function of í µí±˜ and (d) Propagation losses of the two modes.
Fig.3. (a) Ey field distributions for the two modes calculated at X point for the structure with í µí±¤ = 2.4 μm and ∆í µí±¤/í µí±¤ = 0.36. (b) ∆í µí±¤ dependence of propagation loss at X point and í µí±› í µí±” at í µí±˜ = 0.999í µí¼‹/í µí±Ž computed for the waveguide with í µí±¤ = 2.4 μm. The solid lines are of the theoretical model.
Fig.4. Propagation losses at X point and í µí±› í µí±” as a function of ∆í µí±¤ for the structures with (a)í µí±¤ = 1.0 μm, (b)í µí±¤ = 1.62 μm, (c)í µí±¤ = 3.3 μm, and (d)í µí±¤ = 4.1 μm. í µí±› í µí±” values were evaluated at í µí±˜ = 0.999í µí¼‹/í µí±Ž for the air mode. Solid lines are of the theoretical model.
Slow Light Waveguides based on Bound States in the Continuum
  • Preprint
  • File available

March 2025

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15 Reads

The concept of bound states in the continuum (BIC) has been advancing light confinement technology in leaky environments. In this letter, we propose and numerically demonstrate a slow light waveguide based on a BIC mode. We considered a waveguide with a polymer core loaded on a plane slab, which supports a leaky guided mode coupled to the radiation continuum in the slab. We found that periodic modulation of the polymer core along the propagation direction can result in a high group index mode with a low propagation loss due to BIC confinement. The introduction of one-dimensional photonic crystals into the BIC waveguides will largely expand its functionality and applications in integrated photonics.

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(a) Overview and (b) cross section of the investigated waveguide structure schematic. The left most inset details the PhC modulation. (c) w dependence of the propagation loss computed for the unmodulated structure with ( $\Delta w$  = 0). (d) Real and (e) imaginary dispersion curves for the unmodulated waveguide when $w$  = 2.4 μm. The numerical results were of the FEM simulations.
(a) Real-value dispersion curves of the air and dielectric modes computed with $w$  = 2.4 μm ${\; }$ and $\Delta w$  = 0.36 $w$ . Solid lines are of the theoretical mode discussed in the main text. (b) ${E_z}$ field distributions for the investigated two modes evaluated at X point. (c) ${n_g}$ of the air mode as a function of k and (d) Propagation losses of the two modes.
(a) Ey field distributions for the two modes calculated at X point for the structure with $w$  = 2.4 μm and $\Delta w/w$  = 0.36. (b) $\Delta w$ dependence of propagation loss at X point and ${n_g}$ at $k$  = 0.999 $\pi /a$ computed for the waveguide with $w$  = 2.4 μm. The solid lines are of the theoretical model.
Propagation losses at X point and ${n_g}$ as a function of $\Delta w$ for the structures with (a) $w$  = 1.0 μm $,\; $ (b) $w$  = 1.62 μm $,\; $ (c) $w$  = 3.3 μm, and (d) $w$  = 4.1 μm. ${n_g}$ values were evaluated at $k$  = 0.999 $\pi /a$ for the air mode. Solid lines are of the theoretical model.
Slow light waveguides based on bound states in the continuum

The concept of bound states in the continuum (BIC) has been advancing light confinement technology in leaky environments. In this Letter, we propose and numerically demonstrate a slow light waveguide based on a BIC mode. We considered a waveguide with a polymer core loaded on a plane slab, which supports a leaky guided mode coupled to the radiation continuum in the slab. We found that periodic modulation of the polymer core along the propagation direction can result in a high group index mode with a low propagation loss due to BIC confinement. The introduction of one-dimensional photonic crystals into the BIC waveguides will largely expand its functionality and applications in integrated photonics.


High transmission in 120-degree sharp bends of inversion-symmetric and inversion-asymmetric photonic crystal waveguides

January 2025

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38 Reads

Bending loss is one of the serious problems for constructing nanophotonic integrated circuits. Recently, many works reported that valley photonic crystals (VPhCs) enable significantly high transmission via 120-degree sharp bends. However, it is unclear whether the high bend-transmission results directly from the valley-photonic effects, which are based on the breaking of inversion symmetry. In this study, we conduct a series of comparative numerical and experimental investigations of bend-transmission in various triangular PhCs with and without inversion symmetry and reveal that the high bend-transmission is solely determined by the domain-wall configuration and independent of the existence of the inversion symmetry. Preliminary analysis of the polarization distribution indicates that high bend-transmissions are closely related to the appearance of local topological polarization singularities near the bending section. Our work demonstrates that high transmission can be achieved in a much wider family of PhC waveguides, which may provide novel designs for low-loss nanophotonic integrated circuits with enhanced flexibility and a new understanding of the nature of valley-photonics.


(a) Schematic image of all-silicon nanowire array cavities. (b) Electric field of optimized cavity without waveguide simulated by FEM. (c) Schematic diagrams of the cavity without input and output waveguides. The length and width of the center nanowire are 6.67a, and 0.462a, respectively, where a is the lattice constant.
(a) Angled scanning electron microscope images of silicon nanowire array cavity implemented with input and output waveguides. (b) Schematic diagrams of the cavity implemented with input and output waveguides. The widths of the input and output waveguides are 2a. The waveguides are placed at a position shifted 2.41a from the centerline in the y direction.
(a) Optical microscope images and transmission spectra of reference waveguide, reference waveguide with mode converter (tapered waveguide), and nanowire array cavity (lattice constant: 350 nm) (b) Transmission spectrum of nanowire array cavity under the C11 condition.
(a) Transmission spectra of nanowire array cavity for different lattice constants from 320 nm to 380 nm. (b) Experimental and simulated cavity wavelengths for different lattice constants. (c) Simulated and measured Q factors for different waveguide coupling conditions.
(a) Transmission spectra of nanowire array cavity for different input powers. (b) Optical bistability.
Inverse-designed all-silicon nanowire array cavities

January 2025

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31 Reads

We designed silicon nanowire array cavities with high optical confinement (Γ) in the central nanowire and a high quality factor (Q) through an inverse design method that maximizes Γ×Q. Moreover, we fabricated an inversely designed cavity with inline input and output waveguides, which is a new configuration for such cavities. The experimental Q exceeded 50,000, which was consistent with a simulation. The cavity exhibited the thermal nonlinearity effect and optical bistability, which indicate that our cavity strongly confines the light in the nanowires.


Optoelectronic recurrent neural network using optical-electrical-optical converters with RC delay

November 2024

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23 Reads

Optical neural network (ONN) has been attracting intense attention owing to their low latency and low-power consumption. Among the ONNs, optical recurrent neural network (RNN) enables low-power and high-speed time-series data processing using a compact loop structure. The loop losses need to be efficiently compensated so that the time-series information is maintained in the RNN operation. For this purpose, we focus on the optoelectronic RNN (OE-RNN) with optical-electrical-optical (OEO) converters to compensate for the loop losses. However, the effect of resistive-capacitive (RC) delay of OEO converters on the RNN performance is unclear. Here, we study in simulation an OE-RNN equipped with OEO converters with RC delay. We confirm that our modeled OE-RNN achieves the high training accuracy of time-series data classification even when RC delay is comparably large to the time interval of time-series data. Our analyses reveal that the accumulation of time-series data by RC delay does not degrade the RNN performance but rather can compensate for the degraded RNN performance due to loop losses. From the theoretical analysis referring to the gradient explosion and vanishing problems, we find the region related to loss and RC delay where the high training accuracy can be achieved. In simulation, we confirm this compensation effect in the large OE-RNN circuit up to 32×\times32 scale. Our proposed scheme opens a new way of time-series data processing by utilizing RC delay for the optical computing and optical communication.


FIG. 1. (a) Interface geometry of the photonic crystal heterostructure with the triangular lattice and triangular holes. This structure has glide symmetry along y = 0 plane as shown by the dashed line. (b) The band dispersion curves in the kx direction of the TE mode in geometry (a). (c) Interface geometry of the glide symmetric photonic crystal hetero-structure with balanced gain (y > 0) and loss (y < 0). This structure is invariant under both a glide operation with the xz-plane and a simultaneous time-reversal operation. (d), (e) The real and imaginary part of band dispersion curves along the kx direction near kxa = π.
FIG. 3. (a) The configuration of the photonic crystal heterostructure to obtain the eigenmodes at the Dirac point used for the k · p Hamiltonian. (b) |H| 2 distribution of the eigenmodes in the photonic crystal heterostructure. Here, label u, d denote ϕ (0) uk 0 , ϕ (0) dk 0 , respectively. (c) Hz, Ex, and Ey distribution of the bases at the Dirac point.
FIG. 6. (a) Schematic of the photonic crystal slab loaded with 5 sheet of graphene. The right panel describes the hole shift of the position of the triangular hole ∆y hole . (b) The band dispersion of the graphene-loaded photonic crystal slab and |H| 2 distribution of the eigenmodes at the initial Dirac point. (c) The frequency of the two eigenmodes at kx = π/a without graphene as a function of the triangular hole shift ∆y hole . (d), (e) The band dispersion of the graphene-loaded photonic crystal slab (d) without no hole shift and (e) with the hole shift ∆y hole = 104 nm.
FIG. 10. (a) The definition of the domain V1, V2 and the surface S. (b) The required triangular hole shift ∆y hole to restore the EPs as a function of a real part of conductivity σr at each imaginary part of conductivity σi [S/m]. (c) The electric field distribution of the eigenmodes at kx = π/a before and after the hole shift.
FIG. 11. (a) Schematic of the photonic crystal slab loaded with 5 sheet of graphene, where the graphene is misaligned by √ 3a/4 below the glide plane (black dashed line). (b), (c) The band dispersion of the photonic crystal slab with the graphene misalignment, (b) without no hole shift and (c) with the hole shift ∆y hole = 44 nm. (d) The group velocity of the edge states near the EPs with and without the hole shift.
EP restoration and fast-light edge states in photonic crystal waveguide with glide and time reversal symmetry

October 2024

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34 Reads

Exceptional points (EPs) in the propagation states give rise to the emergence of intriguing properties with the divergence of the group velocity. However, there have been no experimental reports due to the necessity of maintaining high levels of fabrication precision and the requisite high group velocity contrast. In our study, we propose a design of photonic crystal waveguide with glide and time reversal symmetry, and derive an effective Hamiltonian for edge states to realize fast-light edge states. We adopt a systematic method to generate EPs in edge states by introducing non-Hermitian perturbations to Dirac points guaranteed by glide symmetry, which ensures that EP modes are free from out-of-plane radiation losses. Then, our study reveals the conditions for the exact EP restoration and provides an analytical solution to offset the EP smoothing due to symmetry breaking, which drastically reduces the group velocity contrast. A good symmetry property of the photonic crystal waveguide allows us to derive the effective Hamiltonian as a simple form, and the EPs can be restored by adjusting the real part of the permittivity. Furthermore, we design a feasible photonic crystal slab waveguide incorporating graphene as the absorbing material, and numerically demonstrate a group velocity reaching vg=3.3cv_g = 3.3c near the EP, which is up to 25 times that of the original structure. Thanks to the short periodicity of photonic crystals, it's possible to reach the speed of light in vacuum with group velocity contrasts on the order of one digit. Our study paves an innovative way to manipulate the group velocity of light.



Citations (26)


... In particular, self-catalyzed nanowires have a one-dimensional structure and subwavelength diameters (the normalized unitless quantity nd/λ is less than unity, where n, d and λ are the refractive index of the nanowire, nanowire diameter, and operation wavelength, respectively [1]), making it possible to minimize the capacitance of devices and thus realize ultrafast operation. The technology for growing III-V nanowires on Si [6,7,8] has matured, and it is expected to be applied to optoelectronic devices using nanowires, that is, photonic processors [9,10]. With these considerations in mind, research has been progressing on optical devices, such as lasers [11,12,13,14], LEDs [15,16,17,18], waveguide coupled light source [19], plasmonic devices [20], optical switches [21,22], and photodetectors [23,24], that use nanowires operating at communication wavelengths. ...

Reference:

Inverse-designed all-silicon nanowire array cavities
Hybrid nanomaterial–nanophotonics platforms for future photonic integrations

... Recently, an optical neural network (ONN) [5][6][7] has been attracting intense attention owing to its low latency and lowpower consumption based on analog computing. The ONN has a strong point of multiplexing utilizing a degree of freedom of light such as spatial [8,9], wavelength [7,10,11], and temporal domain [12,13]. ...

16×16 MZI-based photonic accelerator toward space and wavelength division multiplexing
  • Citing Conference Paper
  • October 2024

... Achieving scalability of optomechanical systems requires the coupling of multiple optical cavities and mechanical oscillators. Tian et al. designed the first two-dimensional slab photonic crystal configuration featuring distant cavities coupled via a high-frequency (up to gigahertz) mechanical oscillator [7]. Lodde et al. demonstrated the coupling of a semiconductor quantum dot to an optomechanical cavity, ...

Double-coupled slotted photonic crystal slab cavities through a high-frequency mechanical oscillator

... Alternatively, photonic circuits can be used as an attempt to apply their already proven speed and efficiency from communications to computing [6]. For instance, meshes of interferometers can perform any matrix multiplication based on a decomposition to unitary matrices [7]- [9], or using the same interferometers as scalar multiplication primitives [10], [11]. Other approaches are based on the multiplicative interaction between ring resonators and the amplitude of light inputs [12]. ...

Integrated 16×16 photonic analog vector-matrix multiplier with task-specific tuning after deterministic calibration
  • Citing Conference Paper
  • November 2023

... These researches illustrated that the waveguide with the broken inversion symmetry and zero VCNs may generate the edge state as well. Followed by these studies, robust transmissions in the line-defect photonic crystal are discovered [8,9]. These devices exhibit no photonic valley-Hall effect, and lack the inversion symmetry [8,9]. ...

Large transmittance contrast via 90-degree sharp bends in square lattice glide-symmetric photonic crystal waveguides

... Recently, Rose K. Cersonsky et al. discussed the design possibilities of photonic crystals across various material systems and provided a comprehensive dataset on this subject matter [7]. These advancements have led to valuable photonic crystal devices such as broadband sensors with high sensitivity, notch filters with exceptional transmission efficiency, and optical expansion lines for optical signal processing applications [8][9][10][11][12][13]. These devices not only exhibit significant potential in the field of optical communication but also hold promising prospects in diverse areas like biosensing and environmental monitoring. ...

Nanocavity tuning and formation controlled by the phase change of sub-micron-square GST patterns on Si photonic crystals

... Now we aim to purely perturb the imaginary part of the permittivity since the large real part of the permittivity breaks the EP condition, and graphene is particularly well suited for perturbing only the imaginary part of the permittivity, as it has a large imaginary part of the permittivity in the near-infrared region [45]. In addition, some previous reports have demonstrated the successful loading and precise patterning of graphene onto photonic crystal structures [46,47], further supporting its feasibility for our purposes. We have assumed that the conductivity of graphene is σ = (6.0882 ...

Non-Hermitian Chirality and Topological Properties of Graphene-loaded Photonic Crystals
  • Citing Conference Paper
  • January 2023

... Experimentally, 1/Q exp = 1/Q des + 1/Q scat + 1/Q abs , where Q des represents the designed Q factor. Q abs is on the order of 10 7 and is mainly attributed to the optical absorption of surface oxidation layers on Si, as Si itself is transparent at telecommunication wavelengths [36]. Based on our group's experimental experience, for a Q des value of 10 5 , we can consistently achieve this value experimentally [33]. ...

Improved design and experimental demonstration of ultrahigh-Q C6-symmetric H1 hexapole photonic crystal nanocavities

... Parity-Time (PT) symmetry is extensively studied in photonic structures, with various implementations in waveguides [1][2][3][4], lattices and metasurfaces [5][6][7], plasmonics [8,9], and several other possibilities [10][11][12][13][14][15]. An essential approach is via two coupled waveguides of identical geometry with a balanced imaginary part of the refractive index, thus one with a photonic gain material and the other with an equal amount of loss [1,8,11,13]. ...

Switchable Unidirectional Radiation from Huygens Dipole Formed at an Exceptional Point in Non-Hermitian Plasmonic Systems
  • Citing Article
  • February 2023

ACS Photonics

... However, the drawback of this structure is that light is unintentionally trapped in the gap created between the trench in the PhC and the nanowire, weakening the light confinement in the nanowire (The cross section of the trench is rectangular, whereas the cross section of the nanowire is polygonal or circular). Therefore, methods of directly creating nanostructures in nanowires [31,32] and nanowire array cavities (grating structure) [33,34,35,36] are being considered as ways to solve the air gap problem. In particular, it is possible to create a cavity structure in a nanowire by depositing a protective layer on it and then milling it using a focused ion beam. ...

Damage protection from focused ion beam process toward nanocavity- implemented compound semiconductor nanowire lasers