A Vernier fiber double-ring resonator with a 3×3 fibercoupler and degenerate two-wave mixing

A theoretical study of a new and simple Vernier fiber ring resonator is presented. The ring resonator consists of two fiber rings constructed from a single-mode 3×3 fiber directional coupler and two single-mode fiber delay lines. Degenerate two-wave mixing is used to achieve the Vernier operation, which significantly increases the free spectral range of the device. In addition, the input beam is also amplified. This device can be used as a wavelength division demultiplexer     

Analysis of four-port optical fiber ring and loop resonators usinga 3×3 fiber coupler and degenerate two-wave mixing

A theoretical analysis of four-port optical fiber ring and loop resonators using a 3×3 fiber directional coupler and degenerate two-wave mixing is presented. Expressions for the circulating (resonant) and output fields and intensities, as well as resonance conditions for two slightly different configurations of the loop resonator and for the ring resonator are obtained. It is found that the use of the degenerate two-wave mixing greatly improves the characteristics of these resonators. For example, the crosstalk of the ring or loop resonators when used as a wavelength division demultiplexer can be significantly deduced     

Performance parameters of a wavelength-division demultiplexer madewith a single 3×3 coupler optical fiber ring or loopresonator

The performance parameters of a two-channel demultiplexer made with a single 3×3 coupler fiber ring or loop resonator are evaluated theoretically. These parameters include crosstalk, output intensity of the selected channel, and channel separation. Their dependence on the parameters of the coupler and the fiber such as the coupling length of the coupler, kd, the phase change of the fiber delay line, &thetas;, and the round-trip amplitude transmission coefficient of the fiber ring or loop G, which is the product of the amplitude transmission coefficients of the coupler and the fiber delay line and the amplitude gain of the degenerate two-wave mixing, is investigated. It is found that the best performance can be obtained at G=1     

Performance of single- and double-ring resonators using 3×3optical-fiber coupler

This paper investigates theoretically the transmission characteristics of single- and double-ring resonators using 3×3 optical-fiber couplers. Two configurations of a 3×3 coupler are considered: configuration A, with the three fibers centered at the vertices of an equilateral triangle, and configuration B, with their centers aligned in a straight line. It is found that a ring resonator using configuration A does not show any performance improvement over ring resonators using 2×2 couplers. On the other hand, a single-ring resonator using configuration B has a performance close to resonators using 2×2 couplers. It is also shown that a double-ring resonator using a 3×3 coupler exhibits resonance with a double peak, which may find application in the filtering of coherent frequency-shift keying (FSK) signals after optical amplification in an optical-fiber line repeater     

Dynamic behavior of reflection optical bistability in a nonlinearfiber ring resonator

We present an analysis of the dynamic behavior of a nonlinear fiber ring resonator when an optical pulse with an arbitrary shape envelope is incident into it through a fiber directional coupler. The transient analysis is based on the extension of a well-known multiple-beam interference method to non-linear transmission problems. The steady-state analyses reported so far predict that the ring resonator exhibits reflection optical bistability in the input-output characteristics under appropriate conditions. But, our transient analysis shows that a nearly periodical oscillation of the transmitted power always takes place at a suitable initial detuning when the resonator has no loss or a small loss. It seems that the present instability is caused by the repetition of accumulation and release of the power in the ring resonator. We can obtain a bistable hysteresis loop by introducing a loss to the directional coupler. The dynamic behavior of bistability in a nonlinear fiber ring resonator with coupler loss is then investigated. It is found that a remarkable undershoot and overshoot occur in the switch-off curve and switch-on curve, respectively     

Planar ring resonator realisation of symmetric 3×3 fibrecoupler

A ring resonator with threefold symmetry is proposed as a planar realisation of the symmetric 3×3 fibre coupler to be used in compact integrated optics interferometers and passive optical signal processing schemes. The effect of system parameter perturbations, arising from manufacturing errors, is analysed and the device would be usable over an ambient temperature range of ±5°C although chip temperature stabilisation will improve this performance     

Sensitivity analysis of a fiber ring resonator based on an air-core photonic-bandgap fiber

The fiber ring resonator (FRR) is the core sensing element in a resonator fiber optic gyroscope (R-FOG), and its sensitivity determines the performance of the R-FOG. This paper presents an in-depth analysis of the sensitivity of the FRR which is made of an air-core photonic-bandgap fiber (PBF), in which the characteristics of the FRR using PBF are compared with that of an FRR using a conventional single mode fiber. When using PBF instead of conventional fiber, it is found that the resonance curve is changed, and the sensitivity of the FRR is decreased a little when a narrow spectral linewidth laser is used. However, the degree of the decrease in sensitivity is not big enough to deny the advantages of PBF in improving the performance of the R-FOG considering that PBF is much better than conventional fiber in reducing the drift. Also, the optimal parameters of the directional coupler for sensitivity are discussed. It is found that the optimal intensity coupling coefficient when using PBF is nearly two times larger than that when using conventional fiber, and the optimal coupler intensity loss when using PBF is smaller than that when using conventional fiber.     

Improved demodulation scheme for fiber optic interferometers usingan asymmetric 3×3 coupler

Problems associated with the demodulation of the signal produced by a fiber optic interferometer which employs a 3×3 fiber coupler are investigated both theoretically and experimentally. It is shown that existing demodulation methods do not work well, especially when the 3×3 coupler is asymmetric, as is often the case. Modifications to improve the performance of a previously proposed method are suggested. Furthermore, an alternative demodulation circuit is presented which is simple and which works well even when the 3×3 coupler is asymmetric     

Response characteristic analysis of polarization maintaining fiber ring resonator with dual-coupler for sensing application

A polarization maintaining fiber ring resonator with dual-coupler (PMDC-FRR) for sensing application is presented in this paper. Polarization maintaining directional fiber couplers and fiber loop are employed to eliminate the polarization fading in the fiber ring resonator. Three important characteristic parameters associated with the sensing application, which are the visibility of the output intensities, the free spectral range and the finesse, are discussed as functions of the coupler coefficients and the fiber loop length in detail. In addition, the critical drive voltage of the tunable laser to keep the output intensities stable is also analyzed, when the fiber ring resonator with dual-coupler is utilized as fiber sensor with phase modulation. A PMDC-FRR is designed practically in experiment with the power coupling coefficients of 0.5 and the loop length of 22 m. The experimental results provide sufficient arguments for the theoretical predicts. The theoretical and experimental analysis results will be useful to the sensing application of the PMDC-FRR.     

熔锥平行排列3×3单模光纤耦合器的研究

平行排列 3× 3单模光纤耦合器在光开关、光缓存器、光谐振腔、光滤波器等方面有很重要的应用 ,偏振态的演化和波长特性是耦合器应用中的关键问题。利用模耦合理论对平行排列 3× 3单模光纤耦合器的输出性能进行了详细分析 ,得出了光纤引线对耦合器的输出偏振态演化起主要作用 ,而耦合区的影响则比较小 ;通过理论推导模耦合系数 ,分析了耦合器的分光比随波长的变化关系 ,得出了输出分光比比较稳定的耦合器所需要的合适芯间距(对于我们研制的为 12 .5 μm)。并采用可移动火焰实际研制出了具有长耦合区的平行排列 3× 3单模光纤耦合器 ,测试表明输入光波长在 1 5 0 0～ 1 5 75 μm范围内变化时 ,耦合器的输出分光比变化不大 ,理论与实验结果基本相符     

A research on the characteristics of an interleaver with a symmetrical resonator

In order to improve the transmission performance of the conventional Mach-Zehnder interferometer (MZI), a novel interleaver combining an "8"form ring resonator with a planar 3×3 single fiber coupler is proposed. Based on the phase modulation provided by the ring resonator, a flat filtering response is obtained by optimizing the coupling angle of resonator. The output expression is derived and numerical simulation is performed. The simulation indicates that the 0.5 dB passband and 25 dB stopband of the proposed interleaver are simultaneously improved remarkably, which are much wider than those of the single-stage MZI and the two-stage MZI interleavers, and the filtering performance of the proposed interleaver, which achieves a nearly square spectrum response, is also much better. Compared with the interleaver based on an asymmetrical MZI with a resonator in one arm, there is no difference between the intensities of two coherent beams in the condition of considering the influence of the propagation loss. Theoretical analysis shows that the influence of the propagation loss on extinction ratio can be effectively reduced.     

光纤光栅法布里-珀罗腔的单模特性研究

分析了基于方向耦合器的光纤光栅法布里－珀罗腔的单模输出条件;在此条件下讨论了谐振腔的完全单模输出特性,并分析了其调谐特性。     

S-resonator with an end reflector

An S-resonator with an end reflector (SRER) is analyzed in terms of its resonance conditions and directional properties. An S-resonator has a main fiber ring to which is attached an S-shaped fiber by means of two couplers. Compared to the basic S resonator (BSR), the SRER has a highly reflecting reflector at a free end of one of the coupler ports. Because of the complex recirculating routes in the two resonators, their characteristics depend strongly on the coupling coefficients of the couplers; the phase resonance condition for the subcavity can even be shifted from an even to an odd integer of π, or vice versa. The new resonator can offer a higher clockwise over counterclockwise circulating intensity ratio. This can be very useful in the design of a ring fiber laser without an isolator     

Frequency stabilization of a traveling-wave semiconductor ringlaser using a fiber resonator as a frequency reference

A fiber resonator with a temperature drift rate of better than 5×10^-4° C/hour is used for controlling the frequency stability of a 1.3 μm wavelength external cavity semiconductor ring laser. A frequency stability of about 600 KHz/hour is achieved     

Ring resonator fabricated in phosphosilicate glass films deposited by chemical vapor deposition

The design and fabrication of a closed loop (ring) resonator is described. The resonator was fabricated in phosphosilicate glass films deposited by chemical vapor deposition onto oxidized silicon substrates. A channel waveguide-to-channel waveguide tapered mode directional coupler was used to transfer light from the input channel to the ring. To our knowledge this is the first demonstration of the use of such a coupler for coupling between channel waveguides. An analysis is presented for power distribution in the channels of the coupler, for stored, reflected and transmitted powers in the resonator and for resonator finesse. Operation of the resonator was demonstrated experimentally and finesse values of less than 3, comparable to those published elsewhere in the literature, were obtained.     

Electrooptic tuning of a fiber ring semiconductor laser

This letter reports recent results obtained in the area of wavelength tuning of semiconductor lasers. The laser is constructed from an InGaAsP 1300-nm semiconductor optical travelling-wave amplifier. The cavity consists of a fiber ring resonator using a low fiber coupler as the output mirror. The intra-cavity electrooptic tuner works as a one-stage Lyot filter and allows wavelength tuning over a spectral range of 20 nm with a tuning rate of 0.05 nm V^-1. This is one of the best results reported using electrooptic birefringent tuning systems     

An optical filter of adjustable finesse using an amplified fiberring resonator

We consider an optical filter constructed from a simple ring resonator with two electro-optical directional couplers and a fiber amplifier in the ring. By adjusting the coupling coefficient of the electro-optical directional couplers, the finesse of this optical filter can be controlled over a specified range. The variation in the insertion loss of the optical filter can be overcome by adjusting the gain of the fiber amplifier simultaneously. This paper analyzes theoretically the performance of the optical filter, as a function of the coupling coefficient of the electro-optical directional coupler and the gain of the fiber amplifier. We also show that it is possible to design an optical filter of wide adjustable finesse by changing only the coupling coefficient of the electro-optical directional couplers, leaving the gain of the fiber amplifier unchanged. This simpler method results only in a slight change in the insertion loss if an appropriate condition is chosen. The filter will be useful in coherent optical systems, where the bandwidth of the optical filter needs to be appropriately adjusted under varying biasing and signaling conditions, or as an optical discriminator with an adjustable Q-factor     

Four-port fibre-optic ring resonator

A novel device is described, formed by taking one of the outputs of a 3×3 fused optical coupler back to one of the inputs to form a fibre optic ring resonator with two inputs and two outputs. The device can be used for narrowband wavelength division multiplexing and for switching of optical signals     

Anisotropic polarization maintaining optical fiber ring resonators

Suppression of the polarization drift of optical fiber ring resonators is investigated both theoretically and experimentally by employing anisotropy in a polarization maintaining fiber ring. A general analytic expression for the transmission of the device is derived allowing the fiber modes to exhibit any combination of polarization crosstalk, differential loss or differential coupling. The analysis shows that a moderate level of ring anisotropy, such as that of 10 dB in line polarizer or polarization selective coupler, is sufficient to greatly suppress the drift of the eigenstates of polarization (ESOPs), finesse and resonant point, restoring the device's suitability for most practical applications. An inevitable consequence of introducing ring anisotropy is the loss of orthogonality of the ESOPs. This effect limits the anticipated benefit in high sensitivity applications. A practical anisotropic PMRR is demonstrated by inserting a thin film of nematic liquid crystal between the two halves of the polished coupler of the ring. This resonator demonstrates a polarization response immune to environmental perturbations     

Wavelength-Dependent Model of a Ring Resonator Sensor Excited by a Directional Coupler

The spectral characteristics of a ring resonator made of Si photonic wires are modeled using mode expansion of supermodes of the directional coupler. The influence of the coupling coefficient, loss factor and waveguide dispersion on the spectral features are analyzed in detail. The model is then compared with the experimental data of a ring resonator designed for sensing purposes. The model that includes a wavelength dependence on coupling length reproduces the large variations of the envelope of the experimental spectrum, when coupling coefficient cover its full range from 0 to 1. Fitting parameters explain the details of the experimental spectrum and contribute to the sensor optimization, as well as illustrating general guidelines for ring resonator design.