Fabry-Perot Modes Research Articles

Switchable invisibility of dielectric resonators

The study of invisibility of an infinite dielectric rod with high refractive index is based on the two-dimensional Mie scattering problem, and it suggests strong suppression of scattering due to the Fano interference between spectrally broad nonresonant waves and narrow Mie-resonant modes. However, when the dielectric rod has a finite extension, it becomes a resonator supporting the Fabry-Perot modes which introduce additional scattering and eventually destroy the invisibility. Here we reveal that for shorter rods with modest values of the aspect ratio r/L (where r and L are the radius and length of the rod, respectively), the lowest spectral window of the scattering suppression recovers completely, so that even a finite-size resonator may become invisible. We present a direct experimental verification of the concept of switchable invisibility at microwaves using a cylindrical finite-size resonator with high refractive index.

Schottky hot-electron photodetector by cavity-enhanced optical Tamm resonance

We propose a design of Schottky-junction hot-electron photodetector under purely planar configuration, which is composed by a front distributed Bragg reflector (DBR), a metal/semiconductor (Au/Si) Schottky junction, and a metallic rear reflector. With such a hybrid design, optical Tamm resonance (i.e., a surface state) can be excited near the DBR/Au interface and significantly enhanced due to the presence of the metallic cavity. The intense Tamm resonance shows a strong field localization to the incident photon energy, enabling a high hot-electron generation for sensitive photodetection. Finite-element and rigorous coupled-wave simulations verify that both optical Tamm state and Fabry-Perot cavity mode can be excited simultaneously, which exhibit a high tunability by tailoring either the DBR or the metallic cavity. With a good angular performance, the proposed design shows an optical absorption in the top thin Au layer over 89%, leading to a 30-fold enhancement in the photoresponsivity compared to that of the normal Au/Si Schottky system.

Investigation of the Mode Structures of Multiphoton Induced Ultraviolet Laser in a ZnO Microrod

Hexagonal wurtzite structural ZnO microrods were fabricated by vapor-phase transport method. Under the excitation of a pulse laser with 1200 nm wavelength, the multiphoton induced ultraviolet (UV) laser was observed in a microrod. The dependence of the laser mode structures on pump intensity was investigated. The result indicates that the laser belongs to whispering gallery mode (WGM) at low pump intensity and Fabry-Perot (FP) mode at high pump intensity. The corresponding positive feedback mechanisms were discussed.

Self-seeded quantum-dash laser based 5 m-128 Gb/s indoor free-space optical communication: erratum

We demonstrate an indoor 5 m free-space optical wireless coherent communication in mid L-band (1606.7 nm) by employing a tunable self-seeded InAs/InGaAlAs/InP quantum-dash (Qdash) laser as a subcarrier generator for 128 Gb/s dual-polarization quadrature phase shift keying (DP-QPSK) modulation signal. The bare Qdash laser diode displays ∼6 nm self-locked Fabry–Perot mode tunability with ∼30 dB side mode suppression ratio (SMSR) and ∼10 dBm mode power across the tuning range, thus encompassing ∼10 modes with an achievable capacity of 1.28 Tb/s (10×128 Gb/s) and potentially qualifying the source requirements for future access networks.

Purcell-Enhanced Single-Photon Emission from Nitrogen-Vacancy Centers Coupled to a Tunable Microcavity

Optical microcavities are a powerful tool to enhance spontaneous emission of individual quantum emitters. However, the broad emission spectra encountered in the solid state at room temperature limit the influence of a cavity, and call for ultra-small mode volume. We demonstrate Purcell-enhanced single photon emission from nitrogen-vacancy (NV) centers in nanodiamonds coupled to a tunable fiber-based microcavity with a mode volume down to $1.0\,\lambda^{3}$. We record cavity-enhanced fluorescence images and study several single emitters with one cavity. The Purcell effect is evidenced by enhanced fluorescence collection, as well as tunable fluorescence lifetime modification, and we infer an effective Purcell factor of up to 2.0. With numerical simulations, we furthermore show that a novel regime for light confinement can be achieved, where a Fabry-Perot mode is combined with additional mode confinement by the nanocrystal itself. In this regime, effective Purcell factors of up to 11 for NV centers and 63 for silicon vacancy centers are feasible, holding promise for bright single photon sources and efficient spin readout under ambient conditions.

Micro-capillary-based self-referencing surface plasmon resonance biosensor for determination of transferrin.

A novel self-referencing surface plasmon resonance (SPR) biosensor for detection of transferrin is demonstrated using a micro-capillary as the sensing element. The biosensor employs the SPR mode as a measuring signal and the Fabry-Perot (FP) mode as a referencing signal. The SPR mode is generated in the gold film that is coated on the outside of the capillary; instead, the FP mode is excited in the capillary, which is filled with de-ionized water. The FP mode is sensitive to temperature and insensitive to refractive index, which can be used as a referencing signal to compensate the effects caused by the temperature fluctuation. The sensor provides a high sensitivity of 1783.943 nm/RIU (refractive index unit) and a resolution of about 7.287×10^-5 RIU. The self-referencing biosensor was applied to measurement of transferrin protein. It can monitor the interaction of transferrin protein with anti-transferrin in real time (0-5.228 μM). The simple and low-cost SPR sensor can be used for highly sensitive self-referencing biosensing for further investigations.

Family of graphene-assisted resonant surface optical excitations for terahertz devices.

The majority of the proposed graphene-based THz devices consist of a metamaterial that can optically interact with graphene. This coupled graphene-metamaterial system gives rise to a family of resonant modes such as the surface plasmon polariton (SPP) modes of graphene, the geometrically induced SPPs, also known as the spoof SPP modes, and the Fabry-Perot (FP) modes. In the literature, these modes are usually considered separately as if each could only exist in one structure. By contrast, in this paper, we show that even in a simple metamaterial structure such as a one-dimensional (1D) metallic slit grating, these modes all exist and can potentially interact with each other. A graphene SPP-based THz device is also fabricated and measured. Despite the high scattering rate, the effective SPP resonances can still be observed and show a consistent trend between the effective frequency and the grating period, as predicted by the theory. We also find that the excitation of the graphene SPP mode is most efficient in the terahertz spectral region due to the Drude conductivity of graphene in this spectral region.

A universal design to realize a tunable perfect absorber from infrared to microwaves.

We propose a design for an universal absorber, characterized by a resonance frequency that can be tuned from visible to microwave frequencies independently of the choice of the metal and the dielectrics involved. An almost perfect absorption up to 99.8% is demonstrated at resonance for all polarization states of light and for a very wide angular aperture. These properties originate from a magnetic Fabry-Perot mode that is confined in a dielectric spacer of λ/100 thickness by a metamaterial layer and a mirror. An extraordinary large funneling through nano-slits explains how light can be trapped in the structure. Simple scaling laws can be used as a recipe to design ultra-thin perfect absorbers whatever the materials and the desired resonance wavelength, making our design truly universal.

Controlling electromagnetic scattering with wire metamaterial resonators.

Manipulation of radiation is required for enabling a span of electromagnetic applications. Since properties of antennas and scatterers are very sensitive to the surrounding environment, macroscopic artificially created materials are good candidates for shaping their characteristics. In particular, metamaterials enable controlling both dispersion and density of electromagnetic states, available for scattering from an object. As a result, properly designed electromagnetic environments could govern wave phenomena and tailor various characteristics. Here electromagnetic properties of scattering dipoles, situated inside a wire medium (metamaterial), are analyzed both numerically and experimentally. The effect of the metamaterial geometry, dipole arrangement inside the medium, and frequency of the incident radiation on the scattering phenomena is studied in detail. It is shown that the resonance of the dipole hybridizes with Fabry-Perot modes of the metamaterial, giving rise to a complete reshaping of electromagnetic properties. Regimes of controlled scattering suppression and super-scattering are experimentally observed. Numerical analysis is in agreement with the experiment, performed at the GHz spectral range. The reported approach to scattering control with metamaterials could be directly mapped into optical and infrared spectral ranges by employing scalability properties of Maxwell's equations.

Self-Assembled 1D-Nanowire Lasers of Perylenediimides.

The 1D nanostructures of perylenediimides (PDIs) have been readily obtained owing to strong cofacial π-π stacking interactions, which, however, subsequently render PDIs weakly emissive in the solid state. Therefore, organic solid-state lasers based on 1D nanostructures of PDIs have not been achieved yet. Herein, we prepared 1D-nanowires of N,N'-bis(1-ethylpropyl)-2,5,8,11-tetrakis(o-methylphenyl)-perylene-3,4:9,10-tetracarboxylic acid diimide (mp-PDI), which stack into a loosely J-type arrangement. J-aggregation leads to a solid-state photoluminescence (PL) efficiency φ>18 % and the nanowires of mp-PDI exhibit excellent Fabry-Perot (FP) mode laser action.

Mechanism of resonant perfect optical absorption in dielectric film supporting metallic grating structures.

The mechanism of resonant perfect optical absorbers is quantitatively revealed by the coupled mode method for the air/grating/dielectric film/air four region system. The sufficient and necessary conditions of the perfect optical absorption are derived from the interface scattering coefficients analyses. The coupling of the Fabry-Perot modes in the grating slits and non-zero order quasi waveguide modes in the dielectric film play a key role for the perfect optical absorption when the light is incident from the grating side. The analytical sufficient and necessary conditions of the perfect optical absorption provide an efficient tool towards geometry design for the perfect optical absorption at the specific wavelengths. The advantages of a widely tunable perfect optical absorption wavelength, a high Q factor and the confined energy loss on metal surfaces make the air/grating/film/air structures promising for applications in sensing, modulation and detection.

Tuning the transmission of surface plasmon polaritons across nano and micro gaps in gold stripes.

We applied a far-field technique to measure the surface plasmon propagation over a wide range of gap sizes in thin gold stripes. This is realized with a grating technique which allows the excitation and out coupling of surface plasmon polaritons (SPPs). With this method the intensity can be monitored before and after the gap. The observations show that the SPPs can transmit over gaps with a width of 1μm with a probability of about 40% for Au stripe-waveguides (7 µm width) at a wavelength of 780 nm. The transmission decays exponentially above a gap size of 1 µm. The results also demonstrate that the transmission has non-monotonic behavior for gap sizes smaller than 1 µm that we attribute to excitation of Fabry-Perot modes and resonant localized plasmons within the gap. The experimental results are supported by numerical simulations using a Finite-Difference Time-Domain (FDTD) approach.

Wide-Angle Near-Perfect Absorber Based on Sub-Wavelength Dielectric Grating Covered by Continuous Thin Aluminum Film

We design and numerically investigate an optical absorber consisting of the sub-wavelength dielectric grating covered by continuous thin aluminum film. In this absorber, the aluminum film act as an efficient absorbing material because of the enhanced electric field in the air nano-grooves, and the absorption spect+rum can be manipulated by Fabry-Perot cavity mode resonance. According to the spectrum manipulation mechanism, the wavelength of absorption peak can be tuned by changing the heights and widths of the air nano-grooves. More importantly, the high absorption is very robust to the incident angle around the designed wavelength. From the nanofabrication point of view, the light absorber can be fabricated more easily without the need for ion or electrochemical etching of metal and it is easy to be integrated into complex photonic devices.

Couple molecular excitons to surface plasmon polaritons in an organic-dye-doped nanostructured cavity

In this work, we demonstrate experimentally the hybrid coupling among molecular excitons, surface plasmon polaritons (SPPs), and Fabry-Perot (FP) mode in a nanostructured cavity, where a J-aggregates doped PVA (polyvinyl alcohol) layer is inserted between a silver grating and a thick silver film. By tuning the thickness of the doped PVA layer, the FP cavity mode efficiently couples with the molecular excitons, forming two nearly dispersion-free modes. The dispersive SPPs interact with these two modes while increasing the incident angle, leading to the formation of three hybrid polariton bands. By retrieving the mixing fractions of the polariton band components from the measured angular reflection spectra, we find all these three bands result from the strong coupling among SPPs, FP mode, and excitons. This work may inspire related studies on hybrid light-matter interactions, and achieve potential applications on multimode polariton lasers and optical spectroscopy.

Low-threshold external-cavity quantum cascade laser around 7.2 μ m

Room-temperature continuous wave (CW) operation of a tunable external-cavity quantum cascade laser (EC-QCL) at center wavelength around 7.2 μm is presented. The EC-QCL was implemented in a Littrow configuration. The gain chip is based on a diagonal bound-to-continuum design with a high-reflection coating on the back facet. A two-layer antireflection (AR) coating consisting of Al2O3 and ZnSe was designed and deposited on the front facet of the chip to suppress the Fabry–Perot modes. With this AR coating, single-mode tuning range of 128 cm−1 was achieved, from 1346.7 to 1475.3 cm−1 (6.78 to 7.43 μm). High side-mode suppression ratio over 30 dB was achieved near the center gain region. A very low-threshold current density of 0.89 kA/cm2 and a high output power of 50 mW were obtained when the EC-QCL was operated in CW mode at 20°C.

Real-space mapping of tailored sheet and edge plasmons in graphene nanoresonators

Researchers demonstrate graphene plasmon edge modes at infrared wavelengths. Such modes may offer additional electromagnetic field confinement compared with conventional sheet modes. Plasmons in graphene nanoresonators have many potential applications in photonics and optoelectronics, including room-temperature infrared and terahertz photodetectors, sensors, reflect arrays or modulators1,2,3,4,5,6,7. The development of efficient devices will critically depend on precise knowledge and control of the plasmonic modes. Here, we use near-field microscopy8,9,10,11 between λ0 = 10–12 μm to excite and image plasmons in tailored disk and rectangular graphene nanoresonators, and observe a rich variety of coexisting Fabry–Perot modes. Disentangling them by a theoretical analysis allows the identification of sheet and edge plasmons, the latter exhibiting mode volumes as small as 10−8λ03. By measuring the dispersion of the edge plasmons we corroborate their superior confinement compared with sheet plasmons, which among others could be applied for efficient 1D coupling of quantum emitters12. Our understanding of graphene plasmon images is a key to unprecedented in-depth analysis and verification of plasmonic functionalities in future flatland technologies.

Continuous wave lasing from individual GaAs-AlGaAs core-shell nanowires

We demonstrate single-mode continuous wave (cw) lasing from individual GaAs-AlGaAs core-shell nanowires (NWs) subject to optical excitation. By comparing the s-shaped input-output characteristics of cw-excited NW lasers with those obtained under pulsed excitation at 4 K, we observe a ∼4× lower equivalent pump power for cw-excitation and a lower minimum lasing linewidth of ∼200 μeV, indicative of the steady-state excitation conditions that result in improved temporal coherence of the emission. Analysis of the NW cavity length dependence of the mode characteristics reveals a clear inverse scaling behavior, with the spacing of Fabry–Perot modes corresponding to a group refractive index of ∼8. Remarkably, when subject to cw excitation heating of the NW-lasers is found to be negligible, as verified by a constant lasing linewidth as well as the absence of red-shifted lasing peak emission at high excitation levels.

Fiber-Bragg-Grating Based Single Axial Mode Fabry-Perot Interferometer and Its Strain and Acceleration Sensing Applications

Based on a rigorous mode theory and considering the wavelength dispersion of fiber Bragg grating (FBG), the conditions necessary for FBG-based Fabry–Perot interferometer (BFPI) to operate in single axial mode (SM) were investigated, as an extension of phase-shifted FBG, by analytical formulas and numerical simulation. Following the theoretical results, SM-BFPI of very narrow bandpass was designed and fabricated. Using that, the first of its kind to our knowledge, SM-BFPI-based WDM distributed (four-points) strain sensing was demonstrated which had a point-like ultrahigh spatial resolution of 2.1 mm and very high strain precision of ϵ . Using a specially designed acceleration pick-up and a path-imbalance Mach–Zehnder interferometer for wavelength interrogation, a fully automatic SM-BFPI accelerometer, capable of giving ultrahigh performance, was developed. The performance of the accelerometer, with a very high sensitivity of 0.5 mGal in 0.1–200 Hz for 0−±980 Gal, is superior to that of electric servo-type accelerometer. To enable the accelerometer to exactly work in the field, the interrogator was stabilized against ambient temperature changes and mechanical disturbances by means of a compensation technique, using the constant wavelength of a reference SM-BFPI. In the course of the experimental study, particular attention has been paid to performance comparison with FBG sensors, much improvement against them having been demonstrated.

Synthesis and optical properties of Zn2GeO4 microrods

Zinc germanate (Zn2GeO4) microrods have been grown by a catalyst free thermal evaporation-deposition method. The microrods, with lengths of up to hundreds of microns have hexagonal cross section and faceted tips with morphologies in agreement with the rombohedral crystal structure of the germanate. Photoluminescence (PL) of the structures shows a broad band centered at about 2.4 eV, which is found by Gaussian deconvolution to consist of three components. A luminescence band at higher energies, centered at about 3.45 eV, is revealed by excitation with 20 kV electrons in the scanning electron microscope (SEM) or by PL under high excitation conditions. Resonance peaks observed in the luminescence spectra have been interpreted by the formation of Fabry–Perot modes in the hexagonal cross section of the rods. The waveguiding behavior of the rods has been assessed by excitation with a 325 nm laser and by detection of the excited luminescence emission transmitted along the rod. Micro Raman spectra of the rods show four bands in the range 740 cm−1–820 cm−1, with the most intense one peaked at 801 cm−1. Comparison with Raman spectra of GeO2 and of other germanates suggests that this set of bands, characteristic of Zn2GeO4 is related to vibrations of Ge–O bonds.

Purcell effect in hyperbolic metamaterial resonators

The radiation dynamics of optical emitters can be manipulated by properly designed material structures providing high local density of photonic states, a phenomenon often referred to as the Purcell effect. Plasmonic nanorod metamaterials with hyperbolic dispersion of electromagnetic modes are believed to deliver a significant Purcell enhancement with both broadband and non-resonant nature. Here, we have investigated finite-size cavities formed by nanorod metamaterials and shown that the main mechanism of the Purcell effect in these hyperbolic resonators originates from the cavity hyperbolic modes, which in a microscopic description stem from the interacting cylindrical surface plasmon modes of the finite number of nanorods forming the cavity. It is found that emitters polarized perpendicular to the nanorods exhibit strong decay rate enhancement, which is predominantly influenced by the rod length. We demonstrate that this enhancement originates from Fabry-Perot modes of the metamaterial cavity. The Purcell factors, delivered by those cavity modes, reach several hundred, which is 4-5 times larger than those emerging at the epsilon near zero transition frequencies. The effect of enhancement is less pronounced for dipoles, polarized along the rods. Furthermore, it was shown that the Purcell factor delivered by Fabry-Perot modes follows the dimension parameters of the array, while the decay rate in the epsilon near-zero regime is almost insensitive to geometry. The presented analysis shows a possibility to engineer emitter properties in the structured metamaterials, addressing their microscopic structure.