Refractive index sensing utilizing a CW photonic crystal nanolaser and its array configuration

We achieved a record high index sensitivity in a cw photonic crystal nanolaser with a potential index resolution of < 10-6. We also demonstrated spectrometer-free index sensing utilizing nanolaser array.


Introduction
Optofluidics now lies at the forefront of synthetic/analytical chemistry and nanobiotechnology. Here, light is used for controlling and efficiently analyzing fluids, colloidal solutions, solids in a fluid, etc, in microscale devices such as labs-on-a-chip [1,2]. Sensors are among the fundamental elements of optofluidics. They are required to be compact, cheap, disposable, and highly sensitive. Recently, optical microcavities open to air have been studied extensively for sensing. The resonant wavelength simply shifts as the environmental refractive index n env varies. Conversely, the index can be detected by measuring the wavelength shift via a spectrometer. Thus far, microspheres [3], microrings [4], microtoroidals [5], grating [6], and photonic crystals (PCs) [7,8] have been studied as microcavities for sensing. In particular, a nanocavity in the two-dimensional (2D) PC slab confines light into an ultrasmall volume of the order of optical wavelength (~ (λ/n) 3 , where λ is the resonant wavelength in vacuum and n is the index of the slab). It provides not only a high spatial resolution but also a high index resolution due to its high Q (narrow spectral linewidth). Thus, it enables analysis of even ultrasmall aliquots of liquids (1 fl ~ 1 fg). It can detect the molecular size when the protein monolayer is fixed adjacent to the nanocavity [9]. Label-free single molecule detection was also demonstrated [10]. These studies used passive cavities, which generally require a wideband light source, polarization controller and high-resolution spectrometer as well as high-precision optical input/output (I/O).
In order to simplify the measurement system and reduce the cost, a sensor utilizing point defect nanolasers on an active PC slab has been reported [11 -13]. Its principle is the same as that for passive devices: the lasing wavelength shifts with the index. But active devices are advantageous because they are remotely operated by photopumping, and sensing is performed by detecting the laser light via a simple optical setup. Thus, we can neglect the external light source and high-precision optical I/O for passive devices. A critical problem with active devices is that continuous-wave (cw) operation is not obtained, but rather, only pulsed operation. When a PC nanolaser is operated by pulsed photopumping, spectral broadening often occurs due to thermal chirping [14]. It broadens the spectral linewidth to > 10 nm in the widest case. Thus, even if a high index sensitivity Δλ/Δn env of 250 nm/RIU [12] is used, the index resolution is limited to an order of 10 −3 by the spectral linewidth. This is far inferior to typical values in passive devices (10 −5 -10 −6 ).
In this paper, we demonstrate higher-resolution sensing using a cw PC nanolaser, in which the thermal chirping is suppressed and a much narrower linewidth is obtained. We have already achieved room-temperature cw operation in a point shift PC nanolaser [15]. We call this a H0 nanolaser as it has no missing airholes, but consists of only a shift in two airholes in the PC slab. We show the stable narrow spectral characteristics of the nanolaser in liquids and a record high sensitivity of 350 nm/RIU, resulting in an index resolution of 9.0×10 −5 (potentially < 10 −6 ). Besides, we propose a spectrometer-free index sensor based on a nanolaser array. Here, many nanolasers whose lasing wavelengths are slightly different from each other are operated simultaneously, and their near field pattern (NFP) is observed through a step-like or delta-function-like bandpass filter (BPF). The wavelength shifts and the NFP changes with n env . In this paper, we present the first demonstration of such an operation.

Sensing characteristics of cw PC nanolasers
The H0 nanocavity consists of the lateral shift s x of two lattice points in a triangular lattice PC slab whose design parameters are the lattice constant a and the airhole diameter 2r. This nanocavity maintains the monopole mode and the dipole mode, having one and two primary antinodes, respectively, in the magnetic field component H z of the modal standing wave. In particular, the monopole mode exhibits an ultrasmall modal volume V m of less than 0.15 (λ/n) 3 and a Q factor of higher than 10 5 , giving rise to high performance lasing. The dipole mode exhibits a slightly larger V m of 0.21 (λ/n) 3 and a lower Q of 10 3 -10 4 . But still lasing is obtained because this Q is not necessarily dominant for the total Q affected by parasitic losses such as free carrier absorption and light scattering by disordering in the fabricated devices. We experimentally identified these modes [16], and observed room-temperature cw lasing with an effective threshold power P th of 1.2 μW in the monopole mode [15]. In the present study, we also introduce the shift s y of the other two lattice points located adjacent to those for s x . The resonant wavelength and Q can be flexibly controlled by varying s x and s y . This is effective for the optimization of the nanolaser array, which will be discussed in the next section.
In this experiment, we first optimized the wafer structure. We prepared the following two epiwafers: GaInAsP single-quantum-well (SQW) wafer with a total thickness of the active layer including separate-confinement-heterostructure layers d of 180 nm, and GaInAsP five multi-quantum-well (MQW) wafers with d = 240 nm. The photoluminescence peak of both wafers was centered at 1.55 μm. Assuming an air-membrane structure, we calculated Δn mode /Δn env for these wafers, where n mode is the equivalent modal index. The SQW wafer was found to give a 1.8-fold higher value than that of the MQW wafer. Because of the thinner d, the evanescent field of the mode penetrated more deeply into the environment. Thus, we decided to fabricate devices into the SQW wafer. In the device process, a PC slab was formed by using e-beam lithography, HI inductively coupled plasma etching, and the HCl selective wet etching of InP claddings.
In the measurement, the H0 nanolaser was photopumped by cw laser light at λ = 0.98 μm, which was focused to a 2.5-μm spot on the top surface of the device through a ×50 objective lens. The light output from the device was coupled to a multi-mode fiber by the same objective lens, and its emission spectrum was analyzed by using an optical spectrum analyzer (OSA). In this experiment, we deposited a chemically stable refractive index liquid (B-0700/0701, n env = 1.296 -1.451) on the device. Figure 1(a) shows an example of the lasing spectrum of the H0 nanolaser obtained at room temperature (293 K) with n env = 1.306 and an irradiated power of 130 μW. The inset shows the scanning electron micrograph (SEM) of the measured device with a = 520 nm, 2r = 300 nm (2r/a = 0.58), s x = 120 nm (s x /a = 0.23) and s y = 60 nm (s y /a = 0.12). The three-dimensional finite-difference time-domain (FDTD) calculation showed that the Q factor of the monopole mode for this design is higher than 4000, even in a liquid with the highest n env . This is sufficient for lasing, and indeed we clearly observed a cw lasing spectrum. The laser peak exhibited a 50-dB intensity over the background level and a spectral linewidth of < 26 pm, the resolution limit of the OSA used. The peak intensity was higher than in air [15]. We believe that this was attributable to the heat sinking by immersing the device in the liquid. Figure 1(b) shows a spectral redshift with n env .
This simply indicates that we can use this shift for index sensing. The average index sensitivity in this measurement was 290 nm/RIU. On the basis of the spectral linewidth of < 26 pm, we can evaluate an index resolution of 9.0×10 −5 . Note that cw microlasers, e.g., vertical-cavity surface-emitting lasers, usually exhibit a narrow frequency linewidth of less than 10 MHz (a wavelength linewidth of less than 0.1 pm) [17]. Thus, a potential resolution of < 10 −6 is expected.
Let us discuss the sensing characteristics in more detail. Figure 2 shows the normalized   The solid line was calculated for a = 500 nm, 2r = 300 nm (2r/a = 0.60), d = 160 nm, s x = 80 nm (s x /a = 0.16) and s y = 60 nm (s y /a = 0.12) by using the FDTD method. We assumed a uniform slab index of 3.4, neglecting the complicated layer structure of the actual epiwafer. In general, the dipole mode has a higher index sensitivity than the monopole mode because of the different penetration depths of the evanescent field into the environment. Circular plots show the experimental values for various normalized lattice shift s x /a. Corresponding well to the calculation, a/λ shifts almost linearly with n env . The lasing wavelength could also be controlled by changing s x /a. Note that sensing using the nanolaser array is difficult if the sensitivity changes with s x and s y . Figure 3 shows the calculated and measured index sensitivity Δλ/Δn env as a function of s x and s y . The sensitivity of the monopole mode is less dependent on s x and s y and ranges from 250 to 300 nm/RIU. No cw operation was obtained in the dipole mode for s y /a < 0.12, which might be due to the low Q. At s x /a = 0.12 and s y /a = 0.12, a sensitivity of 350 nm/RIU was obtained for the dipole mode, and the estimated index resolution was 9.0×10 −5 . This sensitivity is 1.4 times higher than the reported value [12]. This suggests that the field penetration of the dipole mode in air is particularly large. At s y /a > 0.12 and s y /a = 0.12, the sensitivity decreases with s x /a and becomes almost comparable to that of the monopole mode. Although the high sensitivity of the dipole mode is attractive, the monopole mode is more advantageous for controlling the lasing wavelength by stabilizing the sensitivity. In addition, the Q of the monopole mode is always higher than that of the dipole mode for any parameter change. Dipole-mode lasing is always accompanied by monopole-mode lasing. In other words, single-mode lasing by the monopole mode is obtained by setting s y /a < 0.12. Thus, it is wise to use the monopole mode for stable sensing.

Spectrometer-free sensing using nanolaser array
Considering the field penetration from the nanocavity to the PC area, we roughly estimated that the H0 nanolaser occupies an effective area of 10×10 μm 2 . This means that we can fabricate one thousand nanolasers in a 340×340 μm area. If we fabricate a nanolaser array, in which each pair of lasing wavelengths is separated by 20 pm and the NFP can be sharply discriminated by a BPF, it becomes a spectrometer-free sensor having an index resolution of 10 −4 . It could be challenging to control such a narrow wavelength separation to be uniform. However, although it is somewhat inhomogeneous, a similar sensing is obtained by matching the observed NFP and a reference pattern taken in advance for each device.
To demonstrate the concept, we fabricated an array of four nanolasers with a = 500 nm, 2r = 280 nm (2r/a = 0.56), s x = 60 -90 nm (s x /a = 0.12 -0.18) and s y = 60 nm (s y = 0.12), as shown Fig. 4. Let us denote their lasing wavelengths by λ 1 , λ 2 , λ 3 and λ 4 . The cavity spacing was set to 24a (= 11 μm) because we experimentally confirmed that the spacing was sufficiently large to suppress the mode coupling between cavities. But a smaller spacing might be possible by optimizing the cavity structure for reducing the field penetration and/or the cavity arrangement, taking into account the direction of the field penetration. In the measurement, we focused a laser light of λ = 0.98 μm to a 25-μm diameter spot and simultaneously photopumped all the devices. We observed the NFP by using an InGaAs image sensor through a BPF of multilayer dielectric stack (transmittance was < 10, 50, and > 90% at λ = 1.534, 1.544, and 1.552 μm, respectively). Figure 5 shows the lasing spectra and the corresponding NFPs for different n env . We confirmed during the individual pumping of each device that the lasing wavelengths were ordered as designed. The index sensitivity was ~300 nm/RIU and almost constant for all the lasers. The wavelength separation was inhomogeneous in the 2-10 nm range, and partial multimode lasing was observed. The multimode lasing was caused by the s y in this preliminary experiment; it was employed to ensure a high Q of the monopole mode for all the devices. If the fabrication process is improved so that the uniform lasing by the monopole mode is obtained more easily for all the devices even in the liquids, a smaller s y is more desirable for the complete suppression of the dipole mode. But anyway, we could clearly observe the target operation in the NFPs; the number of laser spots did not change without the BPF, but changed with BPF due to the wavelength shift.

Conclusions
We obtained clear cw operation in a H0 PC nanolaser soaked in liquids whose refractive index ranged from 1.00 to 1.37. The maximum intensity of the laser mode was 50 dB higher than the background level, and the spectral linewidth was < 26 pm, which is the resolution limit of this measurement. We observed a wavelength shift with the environmental index. The maximum sensitivity was 350 nm/RIU, the highest value recorded for nanocavity-based index sensing. Thus, we confirmed an index resolution of 9.0×10 −5 . But we expect to be able to obtain a resolution of < 10 −6 , given that the linewidth in microlasers is usually on the order of 0.1 pm. This will be checked in future studies using heterodyne detection. We also demonstrated index sensing using a nanolaser array consisting of different wavelength devices. This allows spectrometer-free sensing and potentially a 10 −4 -order resolution. As these sensors do not require a wideband light source, high-precision optical I/O and spectrometer, it will be useful for low-cost and disposal biochemical sensing and label-free single molecular sensing. Also, it is expected that they will be integrated as a functional element in the lab-on-a-chip technology.