Optical fiber-based dispersion compensation using higher ordermodes near cutoff

Higher order spatial modes in optical fibers exhibit large, negative chromatic dispersion when operated near their cutoff wavelength. By using a spatial mode-converter to selectively excite a higher order mode in specially designed multimode fiber, this dispersion can be used to compensate the positive dispersion in conventional single-mode fiber spans. In this paper, issues related to compensating fiber and mode-converter design are explored. Experimental measurements in specially designed two-mode fibers operated in LP₁₁ mode show negative dispersion as large as -70 ps/nm·km at 1555 nm. Pulse propagation and system experiments employing spatial mode-converters to excite LP₁₁ mode in a two-mode fiber demonstrate the feasibility of this technique for dispersion compensation in lightwave systems     

Cross-phase modulation in short-period dispersion managed fiber

Reports on the theoretical investigation of the cross-phase modulation (XPM) in a short-period dispersion managed fiber (SPDMF) system. The results show, that to minimize the XPM-induced intensity interference in an SPDMF, the dispersion of the negative section should be less than -14 ps/nm/km, assuming that the dispersion of the positive section was 17 ps/nm/km (as for a conventional single-mode fiber). Together with the design criteria for the suppression of four-wave mixing, this result could be used to optimize an SPDMF for use in high-speed wavelength-division multiplexing systems     

Design of strain-free-fiber with nonuniform dopant concentrationfor stimulated Brillouin scattering suppression

The loss and dispersion properties of fibers with a nonuniform dopant concentration along their length are investigated theoretically and simple equations are obtained for loss and dispersion estimation. These equations are used to discuss fiber properties and a design procedure by which to achieve SBS suppression. The loss increases by 0.02-0.03 dB/km/% and the dispersion decreases by -2.4 ps/km/nm/% as the relative-index change due to dopant increases longitudinally. It is found that a large change in the dopant concentration along a fiber is effective in suppressing SBS     

Dispersion flattened transmission line consisting of wide-band non-zero dispersion shifted fiber and dispersion compensating fiber module

The transmission line consisting of non-zero dispersion shifted fibers (NZ–DSFs) and dispersion compensating fiber (DCF) modules has been proposed to enable the wide-band wavelength division multiplexing (WDM) transmission. The NZ–DSFs with the effective area over 60 μm² and the dispersion of +5–11 ps/nm/km (1500–1600 nm) have been developed to suppress the transmission penalty caused by the four-wave mixing. The DCF modules which compensate for the dispersion and the dispersion slope simultaneously have also been realized. To enhance the figure of merit (FOM) of the DCF by enlarging the absolute value of its dispersion is found to be an effective way to reduce the non-linear effects occuring in the DCF. The transmission line actually fabricated based on the optimized design exhibits an extremely low dispersion deviation of ±0.08 ps/nm/km in the C band.     

Waveguide dispersion measurement technique for single-mode fibersusing wavelength dependence of mode field radius

A waveguide dispersion measurement technique using a simple fitting function for wavelength dependence of the root-mean-square width in the far field and its theoretical measurement error are discussed. Results indicate that waveguide dispersion can be evaluated with theoretical accuracy of 0.5 ps/km/nm using this technique. The waveguide dispersions for conventional and dispersion-shifted fibers have been measured using the far-field pattern method. Good agreement between measured and theoretical values of waveguide dispersion was obtained. Material dispersion and dispersion sensitivity evaluation methods that are applications of this technique are also described     

全固高非线性低色散斜率光子晶体光纤设计

提出了利用掺氟同心圆环的光纤结构来提高光子晶体光纤(PCF)的非线性,所需控制的参量仅有两个。设计了三种具有高非线性、低色散斜率和低限制损耗的全固光子晶体光纤。这三种光纤分别具有正常色散、双零色散点和零色散点恰好在1.55 μm波长处的色散曲线特性。所设计的零色散点恰好在1.55 μm波长处的光子晶体光纤色散斜率值为5.12×10-4 ps/(km·nm2),这比传统的高非线性光纤的色散斜率小了2个数量级。同时,该光纤在1.55 μm波长处的非线性系数为31.5 W-1·km-1,限制损耗为9.62×10-5 dB/km。     

Phase Shift Technique for the Measurement of Chromatic Dispersion in Optical Fibers Using LED's

A sinusoidal technique is reported, which allows simple and accurate measurements of chromatic dispersion in optical fibers. It is based on the phase shift which a sinusoidally modulated light beam undergoes while traveling along a fiber when its wavelength is changed. The choice of a multiple LED's source permits the continuous spectral covering from 750 to 1600 nm; easily available instrumentation and devices are needed for the measurement setup. The technique is reported in detail by showing results obtained in multimode fibers; statistical evaluation of its accuracy and a comparison with conventional methods are carried out. An accuracy of a few picosecond in relative delay and of /spl I.chemc/1 ps/nm /spl dot/ km in chromatic dispersion are demonstrated, that compare very favorably with the existing techniques.     

基于FDTD方法的光子晶体光纤色散特性分析

基于电磁场时域有限差分法(FDTD)计算光子晶体光纤(PCF)的方法, 分析了运用该方法时需要注意的一些问题, 特别是关于晶格位置、晶格上各个电磁场分量的分布以及完全匹配层(PML)中在边界处的电磁场的处理。以此为理论依据分析了一种纯石英材料双层芯PCF, 对这种光纤的传输特性进行了详细的数值模拟。通过调整光纤的结构参数, 设计出大负色散值的宽带色散补偿光子晶体光纤(DCPCF)。数值模拟结果显示在1530～1565 nm波长范围内其色散值在-400和-600 ps/(km·nm)之间变化, 达到了具有相同有效模面积的普通色散补偿光纤(DCF)的5倍。在整个C波段可以有效补偿长度25倍以上的标准单模光纤(SMF), 其色散剩余量在±1.0 ps/nm·km以内。该种结构的PCF对于制作高增益和宽带色散补偿于一体的集中式光纤放大器具有十分重要的意义。     

Soft Glass Equiangular Spiral Photonic Crystal Fiber for Supercontinuum Generation

An equiangular spiral photonic crystal fiber (ES-PCF) design in soft glass is presented that has high nonlinearity ( $gamma>5250 hbox{W}^{-1}cdothbox{km}^{-1}$ at 1064 nm and $gamma>2150 hbox{W}^{-1}cdothbox{km}^{-1}$ at 1550 nm) with a low and flat dispersion (${D}sim {hbox {0.8}} hbox{ps/km}cdothbox{nm}$ and dispersion slope $sim-0.7 hbox{ps/km}cdothbox{nm}^{2}$ at 1060 nm). The design inspired by nature is characterized by a full-vectorial finite element method. The ES-PCF presented improves over the mode confinement of triangular core designs and dispersion control of conventional hexagonal PCF, combining the advantages of both designs; it can be an excellent candidate for generating supercontinuum pumped at 1.06 $mu{hbox {m}}$.      

Transmission distance of in-line amplifier systems withgroup-velocity-dispersion compensation

Group-velocity dispersion (GVD) compensation in in-line amplifier systems is evaluated from the viewpoint of improving the transmission distance. The nonlinear Schrodinger equation, which simulates signal propagation in optical fibers, is numerically evaluated to clarify the optimum configuration for GVD compensation. It is shown that the optimum amount of GVD compensation is about 100% of the GVD experienced by the transmitted signal. The optimum compensation interval is found to be a function of the bit rate, signal power, and dispersion parameter. For dispersion parameter values ranging from about -0.1 ps/nm/km to -10 ps/nm/km, and an amplifier noise figure of about 6 dB, the optimum compensation configuration can eliminate the GVD from in-line amplifier systems, thus improving transmission distances to those limited by self-phase modulation and higher-order GVD     

Dispersion Compensation Over All the Telecommunication Bands With Double-Cladding Photonic-Crystal Fiber

This paper numerically describes the design of double-cladding photonic-crystal fiber (DC-PCF) for ultrabroad- band compensation over all telecommunication bands (O to L), i.e., ranging from 1260 to 1625 nm. We show that an ultrabroad- band compensating DC-PCF can be designed simply by considering the zero-dispersion wavelength and the relative dispersion to the slope at a particular wavelength of a conventional single-mode fiber (SMF). As a result, we reveal that the proposed DC-PCF can successfully compensate for the dispersion of a conventional SMF with an effective dispersion range of plusmn0.4 ps/nm ldr km over all telecommunication bands as well as provide an effective area comparable to that of conventional dispersion-compensating fiber.     

A novel design for dispersion compensating photonic crystal fiber Raman amplifier

This letter presents a novel design for dispersion compensating photonic crystal fiber (DCPCF) which shows inherently flattened high Raman gain of 19 dB (/spl plusmn/1.2-dB gain ripple) over 30-nm bandwidth. The proposed design module has been simulated through an efficient full-vectorial finite element method. The designed DCPCF has a high negative dispersion coefficient (-200 to -250 ps/nm/km) over C-band wavelength (1530-1568 nm). The proposed fiber module of 5.2-km length not only compensates the accumulated dispersion in conventional single-mode fiber (SMF-28) but also compensates for the dispersion slope. Hence, the designed DCPCF module acts as the gain-flattened Raman amplifier and dispersion compensator.     

Distributed dispersion measurements and control within continuously varying dispersion tapered fibers

We report the first continuous nondestructive measurement of dispersion along a fiber designed to have a continuously varying dispersion profile. This measurement highlights the flexibility of the measurement technique and illustrates the levels of accuracy [/spl ap/0.05 ps/(nm/spl middot/km)] that can be achieved when pulling long fibers with arbitrary dispersion profiles.     

Dispersion-compensation module based on one preform design matching arbitrary dispersion and slope requirements

In this article, we propose a method to realize dispersion-compensation modules (DCMs) with a user-defined dispersion in a specified bandwidth for a given tolerance. It is based on the wavelength shift of a characteristic dispersion function by scaling the refractive-index profile. Controlling the fiber diameter during the manufacturing process leads to the desired scaling. In order to get a DCM with the predefined wavelength-dependent dispersion, a specific diameter-versus-position function has to be implemented. To demonstrate the concept, compensators for typical transmission fibers were simulated. For example, the dispersion in the complete C band (1530-1570 nm) can be compensated for 100 km of TeraLight and TrueWave-RS. The results showed a residual dispersion of only /spl plusmn/1 ps/nm and could be realized with overall compensator lengths of 3.54 and 1.97 km, respectively. Furthermore, higher order dispersion in the S, C, and L bands (1490-1610 nm) was compensated for different requirements with a tolerance of only /spl plusmn/0.5 ps/nm, which enables ultrahigh bit-rate transmission at 160 Gb/s. In order to estimate the feasibility of such a DCM, a tolerance analysis is presented, and the guiding properties are approximated.     

Photonic crystal fiber with novel dispersion properties

Our recent research on designing microstruc-tured fiber with novel dispersion properties is reported in this paper. Two kinds ofphotonic crystal fibers (PCFs) are introduced first. One is the highly nonlinear PCF with broadband nearly zero flatten dispersion. With introducing the germanium-doped (Ge-doped) core into highly non-linear PCF and optimizing the diameters of the first two inner rings of air holes, a new structure of highly non-linear PCF was designed with the nonlinear coefficient up to 47 W-1·km-1 at the wavelength 1.55 μm and nearly zero flattened dispersion of ±0.5 ps/(km·nm) in telecom-munication window (1460-1625nm). Another is the highly negative PCF with a ring of fluorin-doped (F-doped) rods to form its outer ring core while pure silica rods to form its inner core. The peak dispersion - 1064 ps/(km·nm) in 8 nm full width at half maximum (FWHM) wavelength range and -365ps/(km·nm) in 20nm (FWHM) wavelength range can be reached by adjusting the structure parameters. Then, our recent research on the fabrication of PCFs is reported. Effects of draw parameters such as drawing temperature, feed speed, and furnace temperature on the geometry of the final photonic crystal fiber are investigated.     

基于组合包层的微结构光纤的色散特性

为了获得微结构光纤的平坦色散特性,设计了一种圆形排列的微结构光纤,其包层由周期分布的空气孔构成,通过有限元数值分析法对该微结构光纤基模的色散特性进行了数值仿真,研究了色散和纤芯圆孔尺寸以及波长的关系。结果表明:内外空气孔间距和直径对微结构光纤的色散曲线都有影响,但内包层大孔间距和第一圈小空气孔的直径对色散曲线的走向起决定作用。在内圈空气孔直径为3.1μm,其他空气孔直径为1.0μm,内圈空气孔中心间距为5μm,其他空气孔中心间距为4μm时,光纤在1.3μm波长的色散为19.5ps/(nm·km),在1.6μm波长的色散为26.5ps/(nm·km),在1.3～1.6μm波长范围内,其色散值变化范围为7ps/(nm·km)。     

一种新型的基于LP01模的双模色散补偿光纤

通过计算机模拟发现在可传输双模的三包层色散补偿光纤中如果抑制ＬＰ０２模，而仅传输ＬＰ０１模时能在一个较窄的带宽内产生大于数千ｐｓ／ｎｍ·ｋｍ的负色散，并且具有较大的模场直径、较小的弯曲损耗和偏振模色散，另外还具有较小的温度波长漂移以及同其它色散补偿光纤一样大小的损耗，是一种非常有前途的新型色散补偿光纤     

Highly accurate long-span chromatic dispersion measurement system by a new phase-shift technique

A highly accurate long span chromatic dispersion measurement system, which is based on a wavelength-division-multiplexing phase-shift technique and utilizes six laser diodes in1.2 sim 1.6 mum spectral region, has been developed. It is intrinsically free from error due to the fiber length variation caused by temperature changes under the measurement. The measurement accuracies of dispersion and Zero-dispersion wavelength are extremely good and within ±0.02 ps/km . nm and ±0.1 nm in 1250 ∼ 1450 nm spectral region in the case of a 10.5-km single-mode fiber measurement. The dynamic range is over 50 dB excluding system theS/Nmargin of 5 dB. Using this system, chromatic dispersion measurements of a 101.9-km pure-silica-core single-mode fiber and a 100.7 km concatenated dispersion-shifted single-mode fiber have been successfully carried out. The measured result has coincided with the arithmetical mean of those of constituent fibers.     

新型色散平坦光子晶体光纤设计与分析

研究了一种新改进的折射率导光光子晶体光纤的色散性能。研究表明当纤芯空气孔的孔径小于包层空气孔孔径时, 光子晶体光纤仍然通过全内反射（TIR）导光。采用全矢量平面波展开法分析光子晶体光纤的色散特性, 并设计了波长为1360 nm到1730 nm时, 色散值在-10±0.5 ps/（nm·km）之间的色散平坦光子晶体光纤, 其色散斜率在波长为1370～1740 nm时可达±0.01 ps/nm2/km。     

Dynamic dispersion compensation in a 10-Gb/s optical system using anovel voltage tuned nonlinearly chirped fiber Bragg grating

We experimentally demonstrate dynamic dispersion compensation using a novel nonlinearly chirped fiber Bragg grating in a 10-Gb/s system. A single piezoelectric transducer continuously tunes the induced dispersion from 300 to 1000 ps/nm. The system achieves a bit-error rate=10^-9 after both 50 and 104 km of single-mode fiber by dynamically tuning the dispersion of the grating between 500 and 1000 ps/nm, respectively. The power penalty after 104 km is reduced from 3.5 to <1 dB