Fiber Fabry-Perot Resonator Research Articles

Dynamics of Stimulated Brillouin Scattering in a Short and High-Finesse Fiber Fabry-Perot Resonator

We theoretically investigate the dynamics of stimulated Brillouin scattering (SBS) in a short fiber Fabry-Perot resonator with reflection mirrors. The analysis is based on the coherent six-wave model including an optical Kerr effect and the linear cavity detunings for the pump and created Stokes waves are taken into account in the formulation. The instabilities including periodic, quasi-periodic and chaotic oscillations can occur owing to the Kerr effect even if the fiber resonator is so short as to ensure a single longitudinal-mode operation. The threshold power for SBS and the boundary power between the stable and unstable regions are numerically calculated as a function of the amplitude reflectance of mirrors for different cavity detunings. The dynamics of SBS and these two critical powers depend on the amplitude reflectance and the cavity detuning. Although an increase in the mirror reflectance decreases the threshold power for SBS, it may limit the utility of SBS since the stable region is narrow and the output power levels of the pump and Stokes waves are low.

Analysis of Transient Optical Bistability and Stability in a Nonlinear Fiber Fabry-Perot Resonator Based on an Iterative Method

We perform a transient analysis, steady-state analysis, and linear stability analysis of a nonlinear Fabry-Perot resonator in order to examine the possibility of a fiber bistable device. We here develop two iterative methods for calculating the dynamics of the Fabry-Perot resonator containing a nonlinear medium with an instantaneous response time. The treatment of the counter-propagating field within the cavity is very important in estimating the nonlinear phase shift due to propagation. A trapezoid rule and midpoint rule are used here for the numerical integration. The iterative method using the trapezoid rule gives excellent agreement with the multiple-beam method developed by Bischofberger and Shen (Phys. Rev. A 19 (1979) 1169), which is more complicated than the proposed procedure. Unfortunately it is found that the midpoint approximation is numerically unstable. Assuming a conventional optical fiber, the switching power for optical bistability is less than 1 kW for a resonator length of 1-2 cm. On the basis of the iterative method, we perform a linear stability analysis to examine whether Ikeda instability affects bistable device application or not. The stability analysis shows that the instability threshold is two orders of magnitude larger than the switching power for optical bistability.

Tunable transform-limited pulse generation using self-injection locking of an FP laser

Wavelength-tunable, near transform-limited pulses have been generated using a Fabry-Perot laser diode coupled to a fiber loop containing a fiber Fabry-Perot resonator (FFPR) and a polarization controller. The ratio of transmitted to reflected light from the loop can be adjusted using the polarization controller. Single-mode operation of the gain-switched laser is achieved by self-injection locking, which is induced by light reflected from the fiber loop. The resulting output pulse has a time-bandwidth product of 0.4 and is tunable over about 15 nm by varying the tuning voltage of the FFPR.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>

Frequency locking of an erbium-doped fiber ring laser to an external fiber Fabry–Perot resonator

An all-fiber, single-frequency, erbium-doped ring laser has been frequency locked to a resonance peak of an external fiber Fabry-Perot resonator by the Pound-Drever technique. In addition, feedback to the mode selection filter in the laser resonator eliminates occasional mode hopping completely, resulting in frequency-locked, stable, single-frequency operation of the laser for periods of several hours.

A symmetric figure-of-eight optical fiber resonator

A theoretical study is presented of a figure-of-eight optical fiber resonator that has two single-mode couplers. The output intensities of the optical fiber resonator are investigated in terms of the coupling coefficients and losses. The finesse and contrast are discussed. Compared with a transversely coupled fiber Fabry–Perot resonator, this resonator has an all-fiber configuration, and is more easily realized. Compared with a direct-coupling fiber ring resonator, it offers reflected outputs that may be useful in some applications.

Analysis of an end separation in single-mode fibers and a fiber Fabry-Perot resonator

Transmission characteristics of an end separation in two single-mode fibers and a Fabry-Perot resonator formed in the fiber are analyzed under Gaussian-beam approximation by using the method of planewave expansion. The interference effects between two fiber endfaces (or mirrors deposited on the fiber endface) and the angular divergence of the beam in the gap (or spacer) are incorporated in the present formulation. It is found that these transmission characteristics are strongly affected by the beam divergence even if the separation is several tens of micrometers and that the peak transmissivity of the Fabry-Perot resonator decreases as the reflectivity of mirrors increased. A simple improvement on the degradation of the peak transmissivity is also discussed. >

Nonreciprocal transmission in a fiber Fabry-Perot resonator containing a magnetooptic material

A fiber Fabry-Perot resonator containing a Faraday-active medium and measured nonreciprocal resonance-enhanced transmission for circularly polarized light was built. The results show that an 18- mu m length of material producing only 2.1 degrees of Faraday rotation could achieve an optical isolation of 10 dB. The isolation would be larger for interferometers with higher finesse or more single-pass Faraday rotation. The device could also serve as a nonreciprocal wavelength filter transmitting different sets of wavelengths in the two directions. >

Transversely coupled fiber Fabry-Perot resonators: performance characteristics

The experimentally determined performance characteristics of the transversely coupled fiber Fabry-Perot (TCFFP) resonator are discussed. The frequency variation for two important input-output configurations agrees well with theory. Both channel passing and channel dropping outputs are demonstrated. We examine the variation of finesse and visibility with the coupling ratio. The visibility, as defined, is a measure of the filtering efficiency on-resonance. We show that with high quality optical components it is possible to obtain good finesse and visibility simultaneously. The TCFFP resonator, therefore, has potential application to demultiplexing and spectral analysis and as a resonant cavity for fiber lasers.

Transversely coupled fiber Fabry-Perot resonator: theory

The theory of output intensities and field strengths of two variants of a four-port fiber-based device called a transversely coupled fiber Fabry-Perot interferometer is presented. The analysis is sufficiently general to consider both input and output from all four arms in both variants. Finesse is calculated for all modes of operation.