Mode expansion modeling of rectangular integrated optical microresonators

Two dielectric waveguides that are evanescently coupled to a square or rectangular region of increased refractive index can serve as a very compact integrated optical microresonator. We consider these devices in a spatial two-dimensional setting, where a rigorous mode expansion technique enables accurate and quite efficient numerical simulations of these configurations. The paper is concerned with single resonator units as well as with an add-drop filter constructed by cascading two square cavities. Besides calculating the power transmission spectra, we try to document as far as possible the characteristic electric field patterns that occur at major and minor resonance wavelengths. The influence of the various geometrical parameters on the resonator performance is investigated in detail.     

Verification of surface WGM in radio frequency band

The ideas of generating surface whispering gallery mode (SWGM) through coating a microresonator with a layer of metamaterials is proposed in our previous work. In this paper, we verify the SWGM with a square resonator based on two-dimensional LC network in radio frequency band. The equivalent node voltage distribution matrix of this resonator is derived. Results show that node voltage can be amplified when the square resonator is covered with a layer of double negative metamaterials. The performance of the metamaterial resonator as a dielectric sensor with excellent sensitivity has been demonstrated. This work may put a great step toward the realization of SWGM sensors using metamaterials.     

Optical precursors in coupled-resonator-induced transparency

We experimentally examined the propagation of temporally square modulated optical pulses through a coupled ring resonator. Sharp transient spikes appeared as the square pulses entered the system. The main signal gradually grew up through coupled-resonator-induced transparency (CRIT), with the time constant determined by a second resonator. Transient spikes were attributed to the higher and lower spectral components of the incident pulse, to which the resonators cannot respond; hence, they were interpreted as optical precursors. The experiments, therefore, demonstrated that precursors and the main signal can be observed separately, with amplitudes comparable to that of the incident step in CRIT.     

环形谐振腔频率响应特性研究

分析了方形环形谐振腔对S线偏光和P线偏光的频率响应特性,发现输入两个频率间隔相差很小的S线偏光和P线偏光都能引起环形谐振腔的谐振,其中S线偏光谐振峰频率特性更适于环形谐振腔的稳频。通过搭建环形谐振腔频率响应特性测试系统,从实验上验证了理论计算的正确性。对于环形谐振腔的稳频和调腔具有参考意义。     

环形激光器反射镜相位延迟差测量方法研究

理论上推导出了环形激光器对Ｓ光和Ｐ光相位延迟差与其拍频峰对应的压电陶瓷电压差的关系式,分析了方形环形激光器对Ｓ光和Ｐ 光的频率响应特性,通过测量拍频峰电压差实现环形激光器反射镜相位延迟差测量。通过搭建环形激光器频率响应特性测试系统,从实验上验证了理论计算的正确性。结果表明,该方法测量误差小于１．５％,满足环形激光器反射镜相位延迟差测量要求。     

Analysis of directional emission in square resonator lasers with an output waveguide

Square microcavity laser with an output waveguide is proposed and analyzed by the finite-difference time-domain (FDTD) technique. For a square resonator with refractive index of 3.2, side length of 4 μm, and output waveguide of 0.4-μm width, we have got the quality factors (Q factors) of 6.7 × 102 and 7.3 × 103 for the fundamental and first-order transverse magnetic (TM) mode near the wavelength of 1.5 μm, respectively. The simulated intensity distribution for the first-order TM mode shows that the coupling efficiency in the waveguide reaches 53%. The numerical simulation shows that the first-order transverse modes have fairly high Q factor and high coupling efficiency to the output waveguide. Therefore the square resonator with an output waveguide is a promising candidate to realize single-mode directional emission microcavity lasers.     

多频带太赫兹滤波器的设计

基于不同大小形状的谐振环对电磁场不同响应的原理,设计了一种由6个嵌套式的方形封闭谐振环结构（CRR）组成的多频带太赫兹滤波器。通过利用时域有限差分法(FDTD)对该滤波器的透射特性进行研究,结果表明:当电磁波正入射或斜入射到谐振环所在平面时,能够出现六频带的滤波性,并且其透射系数对入射角度的变化并不敏感。该设计增加了滤波频带的个数,提高了滤波器对频率的敏感度,为多频带传感器、太赫兹通信技术等领域提供了理论方法。     

Cavity ringdown strain gauge

Biconical tapered single-mode fiber, which is common in many telecommunications components, offers an alternative sensor to typical optical fiber strain gauges that are susceptible to temperature and pressure effects and require expensive and sophisticated signal acquisition systems. Cavity ringdown spectroscopy, a technique commonly applied to high-sensitivity chemical analysis, offers detection sensitivity advantages that can be used to improve strain measurement with biconical tapers. Combining these two technologies in a spatially extended resonator, we demonstrate a minimum detectable change in ringdown time of 0.08%, corresponding to a minimum detectable displacement of 4.8 nm, and a sensitivity to strain as small as 79 n epsilon/square root(Hz) over a 5-mm taper length.     

Tristability and self-oscillations in a double resonator system

A system consisting of two coupled Fabry-Perot resonators, one of them nonlinear, with an additional feedback between them is studied experimentally and theoretically. The dependence between the phase shift δφ of the resonator 2 and the laser-induced thermal load Q applied to the resonator 1 is essentially nonlinear. This nonlinearity of the additional feedback in the double resonator system is shown to make possible its self-oscillations and the existence of the tristable 8-shaped hysteresis curves. The frequencies of the observed self-oscillations are in the range from 100 Hz to 100 kHz, their shapes varying from sinusoidal to square and sawtooth.     

Polarization-Independent Broadband Optical Regime Metamaterial Absorber for Solar Harvesting: A Numerical Approach

In this article, a broadband metamaterial (MTM) absorber is proposed that exhibits near-unity absorption in the terahertz regime. The proposed metamaterial absorber was initiated on a quartz (fused) substrate, whereas the resonator and backplane are constructed with tungsten. The resonator is designed with a square ring loaded with a face-to-face E structure at the center. It also consists of diagonally extended arrow-like shapes loaded from the corners and a concave-shaped structure extended from the middle of the square ring. Near-perfect absorption is observed at the frequencies of 465.2 THz, 585.2 THz, 648.8 THz, and 762.8 THz with absorption peaks of 99.8%, 99.9%, 99.92%, and 99.92%, respectively. Moreover, it exhibits broadband absorption properties above 90% absorption with bandwidths 20.4 THz, 80.8 THz, 41.6 THz, and 90 THz, respectively, at these resonance frequencies. Due to its symmetrical structure, it shows polarization-insensitivity behavior up to 90° with maximum absorption greater than 90% both in transverse (TE) and transverse magnetic (TM) modes. It also exhibits insensitivity to changes of incident angle from 0°–45°. Metamaterial properties of the proposed absorber are also analyzed, showing single negative behavior. Absorber property has been examined through surface current and equivalent circuit electric and magnetic field analysis. The effect of the cross-polarization is negligible and is verified through simulation. Due to its large bandwidth, polarization-insensitive behavior, and low PCR, the proposed MTM absorber can be incorporated into photovoltaic devices as a solar-energy harvester.     

Finite-difference time-domain analysis of deformed square cavity filters with a traveling-wave-like filtering response by mode coupling

An add-drop filter based on a perfect square resonator can realize a maximum of only 25% power dropping because the confined modes are standing-wave modes. By means of mode coupling between two modes with inverse symmetry properties, a traveling-wave-like filtering response is obtained in a two-dimensional single square cavity filter with cut or circular corners by finite-difference time-domain simulation. The optimized deformation parameters for an add-drop filter can be accurately predicted as the overlapping point of the two coupling modes in an isolated deformed square cavity. More than 80% power dropping can be obtained in a deformed square cavity filter with a side length of 3.01 microm. The free spectral region is decided by the mode spacing between modes, with the sum of the mode indices differing by 1.     

Combined dielectric and plasmon resonance for giant enhancement of Raman scattering

Combined dielectric/metal resonators for colossal enhancement of inelastic light scattering are developed and their properties are investigated. It is shown that a record enhancement factor of 2 × 10⁸ can be obtained using these structures. The dielectric resonators are fabricated on Si/SiO₂ substrates where periodic arrays of square 10- to 200-nm-high dielectric pillars are produced via electron-beam lithography and plasma etching. The lateral size a of the pillars varies between 50 and 1500 nm, and their period in the array is 2a. To make a combined dielectric/metal resonator, a nanostructured layer of silver is deposited onto the fabricated periodic dielectric structure by thermal evaporation. It is established that, for a fixed height of the dielectric pillars, the Raman scattering enhancement factor experiences pronounced oscillations as a function of the period (and size) of the pillars. It is shown that these oscillations are determined by the modes of the dielectric resonator and governed by the relation between the excitation laser wavelength and the planar size of the dielectric pillars.     

Optical scattering noise in high Q fiber ring resonators and its effect on optoelectronic oscillator phase noise

Nonlinear phenomena occurring in an optical fiber ring resonator featuring ultrahigh Q factor are experimentally studied. The laser is locked onto the resonator, and the optical power induced in the resonator is controlled. The onset of the first stimulated Brillouin scattering wave occurs at an optical input power as low as -9 dBm in these resonators. When the resonator is used as the frequency reference device in an optoelectronic oscillator (OEO), it has been found that these parasitic signals mix with the OEO signal and degrade its phase noise. More than 20 dB improvement of the OEO phase noise has been demonstrated by limiting these nonlinear optical effects.     

Eignmodes of piezoelectric lenses

Conclusion The generalized expressions obtained for calculating eigenfunctions of harmonic and nearby anharmonic modes of a PEL make it possible better to direct the search for optimal resonator geometry. These functions enable us to compute such equivalent dynamic parameters of resonators as the inductance, capacitance, capacitance ratio, and others. They also enable us to determine resonator sensitivity to a localized change in PE thickness, which is proportional to the square of the eigenfunction; this is necessary not only in the manufacture of resonators, but in the construction of various kinds of piezoelectric sensors as well.Translated from Izvestiya Vysshikh Uchebnykh Uchebnykh Zavedenii, Radiofizika, Vol. 29, No. 6, pp. 740–747, June 1986.     

Investigation of ring resonators in photonic crystal circuits

In this paper, we propose the implementation of waveguide-coupled ring resonators in photonic crystal integrated circuits. Using two-dimensional finite difference time domain (2D FDTD) method, we study the spectral characteristics of a waveguide-coupled ring carved in two-dimensional photonic crystal of square lattice (2D SLPC) and based on the results, we suitably modify the structure geometry to establish its performance as a ring resonator. We further investigate the effects of ring dimension and crystal parameters on the resonance properties of the ring resonator.     

Peculiarities of emission of subminiature injection lasers

The emission spectrum of an injection GaAs laser with a four-sided resonator with a square cross section of size 13×13 μm² is presented. This laser is the world’s smallest laser, having the threshold current I_th=0.7 mA and a photon flight time in the resonator that is shorter than the thermal relaxation time T₂. It is shown that the emission spectrum of the laser drastically differs from the spectrum emitted by lasers of usual size.     

Precision Mass Measurement with Optomechanically Induced Transparency in an Optomechanical System

We present a scheme for all-optical precision mass sensing with squeezed field in an optomechanical system in terms of optomechanically induced transparency (OMIT). We demonstrate that the splitting of the two peaks of the OMIT, which is almost inverse proportion to square root of the accreted mass landing on nanomechanical resonator (NAMR). We also show that the mass measurement scheme for the squeezed fields can be robust against temperature and cavity decay in somehow. Specifically, the precision measurement is from the noise spectrum, for these reasons, our scheme may provide a new paradigm for precision measurement based on the noise in the optomechanical system.     

Proposed null experiment to test the inverse square nature of gravitation

A null Cavendish experiment is proposed for testing the validity of the inverse square gravitational force law: one searches for spherically·symmetric excitations in a hollow spherical fluid-filled resonator in the presence of a mass quadrupole rotating at half the lowest resonant frequency of the fluid sphere. By Gauss' law, there is no nonstatic Newtonian coupling to the resonator. The experiment can be made sensitive enough to detect a Yukawa-type force with a strength less than 10^–3 G and a range on the order of 10 cm.     

Multi-band microwave metamaterial absorber based on coplanar Jerusalem crosses

The influence of the gap on the absorption performance of the conventional split ring resonator(SRR) absorber is investigated at microwave frequencies. Our simulated results reveal that the geometry of the square SRR can be equivalent to a Jerusalem cross(JC) resonator and its corresponding metamaterial absorber(MA) is changed to a JC absorber. The JC MA exhibits an experimental absorption peak of 99.1% at 8.72 GHz, which shows an excellent agreement with our simulated results. By simply assembling several JCs with slightly different geometric parameters next to each other into a unit cell, a perfect multi-band absorption can be effectively obtained. The experimental results show that the MA has four distinct and strong absorption peaks at 8.32 GHz, 9.8 GHz, 11.52 GHz and 13.24 GHz. Finally, the multi-reflection interference theory is introduced to interpret the absorption mechanism.     

An ultra-thin dual-band wide-angle polarization-insensitive metamaterial absorber with near-unity absorbance

In this paper, a dual-band metamaterial absorber (MMA) with wide-angle and polarization-insensitivity is proposed. The MMA consists of two copper layers with a layer of FR-4 between them. And its top layer consists of a cross-shaped resonator and a square ring resonator. The calculation result demonstrates that there are two distinct absorption peaks, whose absorptivity are 99.933% at 3.8441 GHz and 99.99% at 9.1094 GHz. And its thickness is only 1.34% of the wavelength of the lowest absorption frequency. The dual-band MMA shows polarization-insensitivity for normal incident wave and shows high absorptivity in a wide incident angle for both TE and TM polarization wave. In addition, we discuss the working mechanism. The influences of main parameters on the dual-band MMA's absorption are also analyzed. The proposed ultra-thin MMA has simple structure and high absorptivity, which has many potential applications, such as thermal radiometer, detection sensor, stealth technology.