Experimental Observation of Purcell-Enhanced Spontaneous Emission in a Single-Mode Plasmonic Nanocavity
  • photonics1
  • Jul. 30, 2024

Introduction


The downscaling of photonic components, such as light sources, waveguides, modulators, and photodetectors, is crucial for achieving large-scale photonic integration. Despite the rapid development of nanophotonic devices, fast and efficient light sources with small footprints have long been the missing piece. Over the last two decades, numerous micro- and nanoscale light sources have emerged, ranging from vertical cavity surface emitting lasers (VCSEL), (1,2) microdisk lasers, (3−5) photonic crystal lasers, (6−8) metal-dielectric nanocavity lasers, (9−11) spasers, (12,13) and nanoscale light emitting diodes (nanoLEDs). (14−16) As an important type of nanoscale light source, nanoLEDs have facilitated a wide array of research, including lensless microscopy, (17) self-emissive display, (18) optical interconnects, (14,15) and neuromorphic computing. (19) These research works span a wide range of applications, including lighting, display, communication, sensing, and computation.
In optical communication and computing systems, conventional LEDs are not widely used, primarily due to their slow modulation speed limited by the intrinsically slow spontaneous emission rate. However, with a prominent Purcell effect in nanocavities, the spontaneous emission rate can be significantly increased, and the spontaneous emission factor (β) can approach unity. Leveraging the Purcell effect, thresholdless lasing in nanolasers has been achieved. (20) In a parallel development, nanoLEDs that also harness the Purcell effect become an attractive alternative to nanolasers as fast on-chip light sources. Furthermore, compared to lasers, LEDs can work at lower input power densities and have higher power conversion efficiency at the low input power density regime before hitting the “efficiency droop” limit. (21) Owing to these merits, several studies have suggested that nanoLEDs can be a strong light source candidate for on-chip optical interconnects. (22−24) However, the experimental demonstration of a fast nanoLED is still lacking.
Here, we experimentally demonstrate a nanoscale light source with a high Purcell factor of 74, corresponding to a modulation bandwidth of 6.65 GHz. This demonstration serves as a proof-of-concept, optically pumped version of nanoLEDs for future high-speed optical communication and computation systems.
The Purcell factor is expressed as Fp=34π2(λcna)3(QVeff), where λc is the cavity resonant wavelength and na is the refractive index of the active material. It reveals two strategies to increase the Purcell factor, and thus, the spontaneous emission rate in nanoLEDs: (1) minimizing the effective mode volume Veff and (2) employing high quality (Q) factor cavities. (25,26) Minimizing Veff or more broadly, minimizing the cavity size to the subwavelength scale in all three dimensions brings about two challenges. The first challenge is to simultaneously decrease the cavity size and mode volume below the diffraction limit. The second challenge is to employ a fully scalable cavity, namely, one that supports self-sustained electromagnetic field regardless of the cavity size. Dielectric cavities like defect-mode photonic crystals have extremely small mode volume; (6) however, at least one dimension of the cavity is larger than the diffraction limit. To achieve both goals at the same time, metallic cavities have emerged as a potential solution due to their exceptional mode confinement properties. (9,27) To address both challenges at the same time, we employ a metallic coaxial cavity, (20) in which the subwavelength coaxial cavity supports the cutoff free transverse electromagnetic (TEM)-like mode with a mode volume below 0.1 × (λ0/na)3. It is worth noting that although the use of a high Q cavity increases the spontaneous emission rate, the emitted photons are also trapped in the high cavity due to strong optical feedback. Thus, increasing the cavity Q factor indefinitely is not a viable solution, and an optimized Q factor exists. (22)
To further reduce the effective mode volume and achieve a high Purcell factor in a nanocoaxial cavity, we previously proposed a shifted-core coaxial cavity design that exhibits an anomalous mode confinement property in the near-infrared (near-IR) regime. (28) By symmetry breaking, the optical mode can be tightly confined to create a hotspot in the narrow dielectric gap region. Thus, Veff is significantly reduced compared to the symmetric counterpart, leading to a large boost to the Purcell factor. Continuing our prior theoretical study, we design and fabricate a Purcell-enhanced light source with a small Veff and a moderate Q factor. By optimizing the asymmetric coaxial nanocavity for a single TEM-like mode, near-unity β can be achieved for high energy efficiency.

Results and Discussion

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The structure and material composition of the asymmetrical shifted-core coaxial nanocavity is depicted in Figure 1a. The cavity utilizes III–V semiconductor gain material composed of nine quantum wells of Inx=0.564Ga1–xAsy=0.933P1–y (10 nm thick)/Inx=0.737Ga1–xAsy=0.569P1–y (20 nm thick), of which the optical gain spectrum spans from 1.26 to 1.59 μm at room temperature (295 K). In the unshifted symmetric case, the InGaAsP ring has a uniform width (half of the cladding and core diameter difference) of Δ = 80 nm and a height of 300 nm. The 10 nm InP layer on top of InGaAsP quantum wells functions as a protection layer, resulting in a total III–V material height of 310 nm. In the vertical direction, the metal-dielectric interface at the top and the high dielectric contrast between InGaAsP and air at the bottom form the two mirrors in a Fabry–Perot cavity configuration, ensuring strong three-dimensional optical mode confinement. The nominal device footprint is about 320 × 320 × 310 nm3.

Figure 1

Figure 1. (a) Schematic illustration of the shifted-core coaxial nanocavity light source, inset: top view schematic of the structure. The nominal dimensions of the nanocavity are Δ = 80 nm, Rcore = 80 nm, and hg = 310 nm; (b) Perspective-view scanning electron microscope (SEM) image of a device after dry-etching; (c) Tilted SEM image of a device after metal deposition; (d) Top-view SEM images of devices with the same footprint but different core-shifting distances. The center positions of the cavity and the metal core are indicated by two red dots, with the straight line connecting them representing the core-shifting distance d. The direction of core-shifting is depicted by a red dotted arrow connecting all SEM images.

Figure 1b shows the Scanning Electron Microscope (SEM) image after the III–V ring formation, in which the sidewall tilting angle is controlled to be below 3°, thus mitigating the negative impact of the nonstraight sidewall on cavity Q. The postmetal deposition SEM image in Figure 1c shows a uniform silver (Ag) encapsulation around the entire cavity and properly fills the center of the InGaAsP ring. Furthermore, the top view SEM in Figure 1d provides a clear visual demonstration of samples with different amounts of core displacement. The details of the fabrication procedure are provided in the Supporting Information.
The modulation bandwidth of a spontaneous emission dominated light source is f3dB,max12π1τp2+τsp2, where τp and τsp represent photon and spontaneous emission lifetimes, respectively. (22) Notably, τsp = τsp0/Fpβ, thus, a large Fp and unity β are desired to shorten the long intrinsic spontaneous emission lifetime τsp0. Since β describes the fraction of spontaneous emission coupled to the primary optical mode, it is essential to reduce the number of optical modes and to overlap the high Fp mode with the material gain spectrum. Employing the finite element method (FEM), we can identify all optical modes supported by the coaxial cavity, including photonic modes, hybrid photonic-plasmonic whispering gallery modes (WGMs), TEM-like modes, and gap plasmon modes. Among all modes, the TEM-like mode is self-sustained regardless of the cavity size (cutoff free) and nondegenerate, which allows us to design a single-mode cavity with exceptional scalability.
To simulate the optical properties of the coaxial cavity, we place a randomly orientated electric dipole within the optical gain region to excite all the optical modes supported in the cavity. As illustrated in Figure 2a, all the optical modes redshift when the core-shifting distance d increases, and the TEM-like mode becomes the dominant optical mode with d > 40 nm after the WGMs eventually move out of the material gain spectrum. This mode redshift can be observed in the experimental photoluminescence (PL) in Figure 2b, which shows a series of emission spectra from three devices with similar cladding and core radius difference (Δ ≅ 80 nm) but with different core-shifting distances d under a 250 μW average pump power.

Figure 2

Figure 2. (a) Calculated spontaneous emission spectra coupled into different optical modes. The TEM-like mode at various core-shifting distances is labeled with black dots and a solid line, showing that the mode redshifts with respect to the core-shifting distance d. The top views of the electric field profiles are positioned near the TEM-like and degenerated WGM modes as insets, and the side views of their electric field profiles are positioned beneath the plot. (b) Measured emission spectra of the TEM-like mode from three devices with different core-shifting distances.

Furthermore, we perform power-dependent PL measurements to investigate the pump power dependency of the nanocavity light source. In Figure 3a, comparative analysis with the unpatterned InGaAsP MQW’s PL peak at 1547.6 nm reveals that the emission peaks of the nanocavity light source qualitatively match the simulated resonances of TEM-like modes in Figure 2a. The inset of Figure 3a illustrates the log–log scale light–light curve of the single-mode light source, demonstrating a slope value greater than one. This suggests that the device operates in the amplified spontaneous emission (ASE) regime or that surface-recombination is dominant. (29,30) However, given that β ≈ 1 in this single-mode light source, the deviation from unity in the slope value should be attributed to surface recombination. Our observed slope value of 1.73 dec/dec closely aligns with previous findings of 1.62 dec/dec from an unpassivated InGaAsP ridge in a metal cavity nanoLED. (30)

Figure 3

Figure 3. (a) Power-dependent PL of a single TEM-like mode shifted-core coaxial light source (d = 45 nm, inner core and outer cladding diameters are 127 and 293 nm, respectively). Inset: light–light curve in log–log scale; (b) Center emission wavelength and cavity Q factor of the TEM-like mode as a function of pump power.

In Figure 3b, we observe a blueshift in the center emission wavelength as the pump power increases, which is governed by two competing effects. First, the free-carrier plasma dispersion effect comes into play: with increasing optical pump power, the concentration of free carriers rises. This leads to an increase in the imaginary part of the refractive index while the real part decreases. Consequently, there is a reduction in the refractive index contrast vertically, resulting in a blueshift in the resonance wavelength. (31) Second, at higher pump intensities, self-heating occurs, which typically induces a redshift in the resonance wavelength. However, this effect is expected to be minimal due to the efficient heat dissipation provided by the Ag core and shell. Thus, our light source exhibits a slight blueshift in Figure 3b. Additionally, Figure 3b reveals a slight increase in the active Q factor with increasing pump power, consistent with the narrowing of emission linewidth in Figure 3a.
Figure 4 presents the measurement of carrier lifetime as well as the subsequent extraction of spontaneous emission lifetime and the corresponding Purcell factor. To ensure the measurement in the spontaneous emission dominant PL regime, Figure 4a shows our determination of PL and ASE regime via pump power-dependent time-resolved photoluminescence (TRPL) carrier lifetime τc measurement. Contrary to the steady-state PL measurements of Figure 3a, in which only the ASE regime can be accessed due to the low-sensitivity spectrometer, the high-sensitivity avalanche photodiode (APD) in our TRPL setup allows access to the PL regime. Within the spontaneous emission-dominated PL regime (pump power <10 μW), τc is relatively constant, indicating minimal pump power influence. Conversely, τc in the ASE regime exhibits a pronounced pump power dependency attributed to the transition from spontaneous emission to stimulated emission. Given that the Purcell effect is specific to the modification of the spontaneous emission rate, the Purcell factor measurement via TRPL should be performed in the PL regime (pump power <10 μW), where τsp predominantly relies on the cavity dimensions. Due to weak emission from some samples, the largest pump power (8 μW) within the spontaneous emission regime was selected to ensure enough photons were collected for precise TRPL measurements. The low optical excitation condition is further confirmed with a measurement of the InGaAsP MQW lifetime (τQW), see Supporting Information. The typical value of τQW of InGaAsP/InP MQW is 2–3 ns and can be shortened to <1 ns in nanopatterned structures due to increased surface recombination at the etched sidewalls. (32) The τQW from the bare InGaAsP MQW is measured as 1.78 ns and reduced to 0.77 ns after etching.

Figure 4

Figure 4. (a) Power-dependent time-resolved photoluminescence (TRPL) and the corresponding carrier lifetime (Yellow region: Spontaneous emission (PL); Blue region: Amplified spontaneous emission (ASE)); (b) Purcell-enhanced spontaneous emission and Purcell factor with respect to the gap distance between the metal core and shell. The experimental results are represented by red circles, while the red lines depict the fitted spontaneous emission lifetime using a Lorentzian function. Additionally, the blue line represents the Purcell factor calculated based on the fitted τsp.

The carrier lifetime can be expressed as 1τc=1τsp+1τnr. (33) In our nanocavity, the nonradiative surface recombination is dominant (large metal loss and surface-to-volume ratio). A clear understanding of the carrier recombination dynamics in the gain material and a precise assessment of the surface recombination rate are essential to correctly extract the spontaneous emission lifetime in the nanocavity. The major carrier combination channels in InGaAsP MQWs are Shockley-Read-Hall (SRH) recombination, surface recombination, bimolecular radiative recombination, and Auger recombination, denoted by coefficients A′, B, and C, respectively. (30,34)
δNδt=ANBN2CN3
(1)
In the low carrier injection regime, the Auger recombination term CN3 can be neglected. A′ is the combined nonradiative recombination coefficient of SRH and surface recombination. A=1τnr=1τsr+1τSRH,bulk with τsr=VAS·1vs, where τSRH:bulk is the bulk SRH recombination lifetime, τSR is the surface recombination lifetime, and vs is the surface recombination velocity. For nanoscale devices, τSRH:bulk ? τSR generally, allowing the contribution from bulk to be neglected, thus facilitating a direct relationship between the measured lifetime and surface recombination velocity. One of two formulas can be used to determine the total carrier lifetime, depending on whether carriers are coupled with the cavity mode. (14) They are 1τcav=FpτQW+1τnrand1τun=1τQW+1τnr, where τcav is the lifetime of QW emission coupled to the cavity, τun is the lifetime of QW emission not coupled to the cavity, τQW is the intrinsic spontaneous emission lifetime of QW, and τnr accounts for carrier decay rates including all nonradiative recombination. According to a previous study, the bare InGaAsP has a surface recombination velocity on the order of ∼104 cm/s. (35) By measuring the carrier lifetime of QW emission not coupled to the cavity (τun), we can calculate τnr and extract the surface recombination rate to be 1.8 × 104 cm/s. Combining this information with the device carrier lifetime (τcav) and τQW, we can extract the devices’ Purcell-enhanced spontaneous emission lifetime and Purcell factor accordingly. Details of the device carrier lifetime measurements and spontaneous emission lifetime analysis can be found in the Supporting Information.
Figure 4b illustrates the correlation between spontaneous emission lifetime, the Purcell factor, and the gap distance between the Ag core and shell. We choose the gap distance, rather than the metal core/shell diameter or the InGaAsP ring width, to be the geometric parameter to vary, because the gap distance is the determining parameter of the Purcell factor. Purcell factors ranging from 18 to 74 are observed in our shifted-core coaxial cavity light source. It is noteworthy that surface recombination is primarily influenced by the surface-to-volume ratio rather than the symmetry breaking of the cavity, thus, shifting the metal core shall not affect the surface recombination rate.
From Figure 4b, we can clearly distinguish two phases. In phase I with large gap distances, the Purcell factor increases with respect to the gap distance; in phase II with small gap distances, the Purcell factor decreases with decreasing gap distance. The trend in phase I closely aligns with our prior theoretical predictions, (28) but the trend in phase II deviates from the simulation results. The comprehensive comparison between the theoretical and experimental Purcell factor can be found in the Supporting Information. In essence, when the gap is small, the absorption of the electromagnetic energy is larger than the stored energy in the cavity. By increasing the gap distance (g), the losses due to absorption are reduced, and the Purcell factor reaches a maximum value around g = 37.5 nm (Fp = 74). Beyond this gap distance, energy confinement in the cavity is reduced. This experimental observation aligns with the previous study of nanocube antenna and optical dipole antenna. (36,37)

Conclusions

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In this study, we have designed a nanoscale single-mode light source at the telecommunication wavelengths and experimentally demonstrated very strong Purcell enhancement of spontaneous emission. Our experimental results validate the expected device performance, showing a high Purcell factor of 74, which corresponds to a modulation bandwidth of 6.65 GHz. The device performance can be further improved via surface passivation to reduce surface recombination velocity and increase the cavity Q. (38) This demonstration serves as a crucial prototype for fast and efficient nanoscale light sources, offering promising prospects for future high-speed optical interconnects.

Methods

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Device Fabrication

The devices are fabricated from an InP wafer, with 300 nm epitaxially grown InGaAsP MQW covered by a 10 nm InP overlayer. Hydrogen silsesquioxane (HSQ) negative resist is used to define rings with varying outer radii, widths, and inner circle positions, which are patterned via electron beam lithography. The exposed HSQ acts as a mask for the subsequent reactive ion etching (RIE) process that utilizes H2:CH4:Ar plasma to etch InGaAsP and InP. After the removal of HSQ by soaking the sample in BOE, a 300 nm thick layer of Ag is deposited using electron-beam evaporation. The sample is mounted on a SU8–5 coated glass and is dipped in hydrochloric acid to remove the InP substrate.
 

Characterization

To observe the emission spectrum with steady-state micro-PL, the devices are optically pumped with a 1064 nm ns laser (12 ns pulse width at 210 kHz repetition rate), which is focused to a beam spot of 7–8 μm on the sample surface. A 20 × microscope objective with a numerical aperture of 0.4 is used to focus the pump beam and to collect the output emission. To filter out the pump light, a long pass filter with a cutoff wavelength of 1150 nm is positioned in the collection path. The emitted light is subsequently directed to a spectrometer with a resolution of 0.5 nm.
To measure the spontaneous emission lifetime with TRPL, the devices are optically pumped with an 800 nm fs laser (140 fs pulse width and 80 MHz repetition rate) and focused to a beam spot of 1 μm on the sample surface. A 50 × microscope objective with a numerical aperture of 0.42 is used to focus the pump beam and to collect the output emission. Two long pass filters with cutoff wavelengths at 850 and 1150 nm, and one short pass filter at 1600 nm are used to filter the stray light from the environment. The emitted light is then directed to an avalanche photodiode (APD) through a multimode fiber, and the photodiode output signal is sent to the time-correlated single photon counting unit for analysis.