The present invention relates to the production of optical pulses at a desired wavelength using higher-order-mode fibers and, more particular, to the utilizing of HOM fiber with a positive dispersion and large effective area sufficient to generate high energy, short pulses at wavelengths below 1300 nm, considered useful for numerous applications.
Mode-locked femtosecond fiber lasers at 1.03 μm and 1.55 μm have been improving significantly in the last several years, particularly with respect to the achievable output pulse energy (increasing from 1 to ˜10 nJ). Even higher pulse energy can be achieved in femtosecond fiber sources based on fiber chirped pulse amplification. However, femtosecond fiber sources, including lasers, have seen only limited applications in multiphoton imaging. The main reason is that they offer very limited wavelength tunability (tens of nanometer at best), severely restricting the applicability of these lasers, making them only suitable for some special purposes. In addition, existing femtosecond fiber sources at high pulse energy (>1 nJ) are not truly “all fiber,” i.e., the output is not delivered through a single mode optical fiber. Thus, additional setup (typically involving free-space optics) must be used to deliver the pulses to imaging apparatus, partially negating the advantages of the fiber source.
Higher-order-mode (HOM) fiber has attracted significant interest recently, due to the freedom it provides to design unique dispersion characteristics in all-solid (i.e., non-“holey”) silica fiber.
The ‘wavelength tunability’ of femtosecond optical sources has been extensively studied within the phenomenon of soliton self-frequency shift (SSFS), in which Raman self-pumping continuously transfers energy from higher to lower frequencies within an optical fiber. SSFS has been exploited over the last decade in order to fabricate widely frequency-tunable, femtosecond pulse sources with fiber delivery. Since anomalous (positive) dispersion (β2<0 or D>0) is required for the generation and maintenance of solitons, early sources that made use of SSFS for wavelength tuning were restricted to wavelength regimes >1300 nm, where conventional silica fibers naturally exhibit positive dispersion.
In addition, Cherenkov radiation has been demonstrated in microstructured fibers pumped near their zero-dispersion wavelength. In general, an ideal soliton requires a perfect balance between dispersion and nonlinearity so that energy becomes endlessly confined to a discrete packet—both spectrally and temporally. When perturbations are introduced, this stable solution breaks down, allowing the transfer of energy between the soliton and the disturbance. Such energy transfer occurs most efficiently in fibers for solitons near the zero-dispersion wavelength. The spectral regime to which energy couples most efficiently has been dubbed “Cherenkov radiation” due to an analogous phase matching condition in particle physics. The phenomenon of Cherenkov radiation in fibers is often associated with SSFS as it allows a convenient mechanism for more efficient energy transfer between the soliton and the Cherenkov band. In particular, when the third-order dispersion is negative, SSFS will shift the center frequency of the soliton toward the zero-dispersion wavelength, resulting in efficient energy transfer into the Cherenkov radiation in the normal dispersion regime. The problem of tunability remains an issue for these arrangements capable of creating Cherenkov radiation.
The recent development of index-guided photonic crystal fibers (PCF) and air-core photonic band-gap fibers (PBGF) have relaxed this tunability requirement somewhat, with the ability to design large positive waveguide dispersion and therefore large positive net dispersion in optical fibers at nearly any desired wavelength. This development has allowed for a number of demonstrations of tunable SSFS sources supporting input wavelengths as low as 800 nm in the anomalous dispersion regime.
Unfortunately, the pulse energy required to support stable Raman-shifted solitons below 1300 nm in index-guided PCFs and air-core PBGFs is either on the very low side, a fraction of a nJ for silica-core PCFs, or on the very high side, greater than 100 nJ (requiring an input from an amplified optical system) for air-core PBGFs. The low-energy limit is due to high nonlinearity in the PCF. In order to generate large positive waveguide dispersion to overcome the negative dispersion of the material, the effective area of the fiber core must be reduced. For positive total dispersion at wavelengths less than 1300 nm, this corresponds to an effective area, Aeff of 2-5 μm2, approximately an order of magnitude less than conventional single mode fiber (SMF). The high-energy limit is due to low nonlinearity in the air-core PBGF where the nonlinear index, n2, of air is roughly 1000 times less than that of silica. In fact, most microstructure fibers and tapered fibers with positive dispersion are intentionally designed to demonstrate nonlinear optical effects at the lowest possible pulse energy, while air-core PBGFs are often used for applications that require linear propagation, such as pulse delivery.
For these reasons, previous work using SSFS below 1300 nm was performed at soliton energies either too low or too high (by at least an order of magnitude) for many practical applications, such as multiphoton imaging, where bulk solid state lasers are currently the mainstay for the excitation source.
The present invention is directed to overcoming these and other deficiencies in the state of the art.
The present invention relates to a higher-order-mode (HOM) fiber module operable to generate energetic, short output pulses of light at wavelengths amenable to various applications, while also providing a degree of wavelength tunability. In particular, the inventive HOM module includes a section of HOM fiber with anomalous (positive) dispersion and a large effective area, characteristics that create a soliton self-frequency shift sufficient to move an incoming stream of pulses at one wavelength to a stream of pulses at a second, desired wavelength associated with a specific application. These dispersion characteristics have also been found to allow for the creation of soliton Cherenkov radiation at wavelengths below 1300 nm, with usable energy in the range of 1-10 nJ.
Additionally, the HOM fiber module of the present invention provides the ability to compensate the dispersion of an optical pulse that is chirped at its input. Therefore, the HOM module provides a sufficient amount of dispersion to provide a transform-limited pulse at a predetermined location within the HOM fiber such that the pulse undergoes frequency shift by either of the SSFS or Cherenkov effects described above.
In accordance with the present invention, the HOM module comprises an input mode converter (for converting from the conventional LP01 mode to a higher-order mode), a section of HOM fiber coupled to the input mode converter for generating the desired self-frequency shift to a desired output wavelength, and (when necessary) an output mode converter (for converting the wavelength-shifted pulses back to the conventional LP01 mode or any other desired spatial profile).
In one embodiment, in-fiber long period gratings (LPGs) are used for the input and output mode converters, thus minimizing the amount of optical loss present at the junction between the mode converters and the HOM fiber.
The HOM fiber portion of the module is configured in one embodiment to include a wide, low index ring cladding area, separated from a high index core region by a trench. The index values and dimensions of the ring, trench and core are selected to provide the desired amount of anomalous dispersion and the size of the effective area. One set of acceptable values for use in accordance with the present invention is a dispersion on the order of +60 ps/nm-km and an effective area of approximately 44 μm2. Another set of acceptable values are defined by the wavelength range within which the dispersion is anomalous (positive), this range being between 10 and 300 nm. Yet another set of acceptable values are defined by the maximum achievable dispersion in the wavelength range of interest, this value ranging from 0 to +3000 ps/nm-km. With respect to the effective area, acceptable values of Aeff for the purposes of the present invention range from about 5 to 4000 μm2.
The present invention also relates to a method of producing output optical pulses having a desired wavelength. The method includes generating input optical pulses and delivering the input pulses to an HOM fiber module to alter the wavelength of the input optical pulses from the first wavelength to the second, desired wavelength by soliton self-frequency shifting (SSFS) within the HOM fiber module.
In one embodiment, the method can further include converting the spatial mode of the input signal into a higher-order mode at the input of the HOM fiber module, and thereafter reconverting the output of the HOM fiber module back to the original spatial mode or to any other desired mode profile.
It is an advantage of the present invention that the HOM module is capable of achieving these characteristics at wavelengths below 1300 nm, heretofore not accomplished in an all-silica (non-holey) fiber.
Further, the HOM module of the present invention is designed such that the difference between the effective index neff of the mode in which signal propagation is desired is separated from that of any other guided mode of the fiber by greater than 10−5, thus providing for enhanced modal stability of the signal.
In one embodiment, the input comprises a single mode fiber (SMF) spliced to the HOM fiber before mode conversion, with the properties of the splice ensuring that signal propagation in the HOM fiber occurs predominantly in the LP01 mode, further enhancing modal stability for the signal.
Other and further aspects and embodiments of the present invention will become apparent during the course of the following discussion and by reference to the accompanying drawings.
The present invention is directed to an arrangement for producing high energy, femtosecond output light pulses over a tunable wavelength range for wavelengths less than 1300 nm, using a relatively new type of fiber—higher-order-mode (HOM) fiber—that yields strong anomalous dispersion in the output wavelength range. Advantageously, the HOM fiber is an all-solid silica fiber structure (i.e., does not include air gaps or other microstructures) where the guidance mechanism is conventional index guiding. This represents a major breakthrough in fiber design, inasmuch as it was not previously considered possible to obtain anomalous dispersion at wavelengths shorter than 1300 nm in an all-silica optical fiber.
In accordance with the present invention, a higher-order-mode (HOM) fiber has been developed that is capable of achieving a strong positive (anomalous) waveguide dispersion (Dw) for the LP02 mode at wavelengths less than 1300 nm. In particular, an HOM fiber has been formed that exhibits +60 ps/km-nm dispersion for the LP02 mode in the 1060-nm wavelength range. Combined with in-fiber gratings, this result has enabled the construction of an HOM anomalous dispersion element (hereinafter referred to as an “HOM module”) with low loss (˜1%), and an effective area Aeff (e.g., ˜44 μm2) that is ten times larger than conventional photonic crystal fibers (PCFs). Significantly, the guidance mechanism is index-guiding, as in standard fibers. Therefore, the inventive HOM fiber retains the desirable properties of such fibers, including low loss, bend resistance, and lengthwise invariance (in terms of loss, dispersion, etc.), making such a fiber attractive for a variety of applications. By utilizing the phenomenon of SSFS, for example, an input optical signal at a first, input wavelength can be shifted to a second, output wavelength after propagating through the HOM fiber of the present invention. Additionally, an HOM fiber module in accordance with the present invention can be used as a femtosecond fiber source at 1300 nm using soliton Cherenkov radiation in the HOM fiber to efficiently converter a 1030 nm femtosecond fiber source to the desired 1300 nm wavelength.
Waveguide dispersion (Dw), which is the derivative of group delay with respect to wavelength, is thus negative for the LP01 mode. Therefore, in wavelength ranges in which material dispersion (Dm) is itself negative, the conventional LP01 mode can achieve only negative total dispersion values, where “total dispersion” Dtotal is defined as the sum of waveguide dispersion and material dispersion. This is illustrated in
In contrast and in accordance with the present invention, the higher-order LP02 mode is designed to have the mode evolution shown in
Therefore, the LP02 mode will exhibit a wavelength dispersion Dw that is positive over this entire range as the mode transitions from the cladding to the core. This is illustrated in
It is to be noted that this evolution is governed by the “attractive” potential of various high index regions of the waveguide, and can thus be modified to achieve a variety of dispersion magnitudes, slopes and bandwidths. This yields a generalized recipe to obtain positive dispersion in a variety of wavelength ranges.
The well-known physics of SSFS dictates that the wavelength tuning range is limited by the range within which the dispersion of the fiber mode is anomalous (positive). In other words, for a tuning range of λtuning, the dispersion-zero crossings of the dispersion curves must also be separated by at least the same amount λtuning. For many applications, it is desirable that this range be at least 300 nm. More broadly, a tuning range anywhere between 10 nm and 2000 nm may be considered useful. In general, the range of such tuning, and correspondingly the energy carried by the shifted soliton, scale with D*Aeff for the wavelength and the mode in which the soliton signal resides.
The well-known physics of generation of Cherenkov radiation, on the other hand, requires the existence of a zero-dispersion crossing. If an optical soliton exists in its vicinity in the anomalous dispersion wavelength range, then Cherenkov radiation is generated in the spectral region on the other side of this zero-dispersion wavelength—i.e., in the region where the dispersion is normal. The exact spectral location of the generated wave is further governed by the dispersion slope of the fiber mode. Again, the energy of the converted radiation scales as D*Aeff for the mode in which the optical radiation resides.
In accordance with the present invention, therefore, the fiber design problem reduces to one of configuring an HOM fiber with the required value of D*Aeff at the output wavelengths of the dispersion curve. The general fiber index profile for achieving Dw>0 for the LP02 mode is shown in
The key to achieving the desired properties is a mode that can transition (as a function of wavelength) through well-defined, sharp index steps in the fiber's index profile. Therefore, the fabrication process must be capable of producing both large index steps as well as steep index gradients, as shown in
Dimensional scaling of the preform can also be used to shift the waveguide dispersion Dw in order to achieve the D*Aeff necessary for the desired output wavelength ranges. This is known in the art of optical waveguides as complementary scaling, which states that wavelength and dimension play a complementary role in the wave equation and, therefore, are interchangeable. However, it is to be noted that this is true only for the waveguide component of dispersion, Dw. Changes in the material dispersion, Dm, are not complementary and, as a result, the total dispersion D is not wavelength scalable. In other words, to move the dispersion curve that provides satisfactory operation in the 1030 nm wavelength range to the 775 nm spectral range, the dispersion Dw needs to be high enough to counteract the strong negative trend for Dm as wavelength decreases. Therefore, achieving similar properties at lower wavelengths needs the use of both dimensional scaling and the above-described dispersion-increasing configurations.
To achieve the higher 5- to 10-nJ output pulse energies, the design of an inventive HOM in this range requires a D*Aeff value that is five to ten times greater than that associated with providing output pulses in the 1-2 nJ range. The main difficulty is to simultaneously achieve the large values of D*Aeff while maintaining λtuning at approximately 300 nm.
Further, in accordance with the present invention, HOM module 20 provides for dispersion compensation prior to wavelength shifting, such that chirped incoming pulses are “de-chirped” with the required amount of dispersion within HOM fiber 22. Thereafter, the de-chirped pulses undergo SSFS and/or Cherenkov radiation to generate the output pulses at the desired wavelength.
For proper operation of HOM module 20, an input mode converter 24 is needed to convert an incoming Gaussian-shaped LP01 mode signal into the desired LP02 mode. One preferred method for providing the mode conversion is with one or more in-fiber long period gratings (LPGs). This type of grating can be permanently formed in fibers by lithographically transferring a grating pattern from an amplitude mask to the fiber using a UV laser. For efficient grating formation, the fiber is typically saturated with deuterium, which acts as a catalyst for the process, resulting in UV-induced index changes in the germanosilicate glass. In another embodiment, the input mode converter may convert any arbitrary incoming spatial profile of light into the HOM that is desired to be propagated in the HOM fiber. For some applications, an output mode converter may be used to transform the higher-order-mode into another spatial mode. In the illustration of
Alternatively, in some applications, it may be desired that no output mode converter is used, inasmuch as the wavelength-shifted radiation already exhibits the desired spatial mode profile. In these cases, therefore, the need for an output mode converted is obviated. In yet another embodiment, the HOM module may comprise a plurality of separate HOM fiber sections coupled together in series, using fiber splicing techniques or another mode converter to join together the adjacent sections. If they are joined by splices, the HOM in the first fiber is expected to adiabatically transition to the same mode order in the second fiber. If they are joined together by means of a mode converter, on the other hand, the mode order from the first fiber to the second fiber can also be changed. Such arrangements may be desired in applications where, in order to increase the λtuning for SSFS, two concatenated sections will provide a much larger tuning range than that associated within only a single HOM fiber section. Alternatively, such arrangements may allow for changing the dispersion slope of the zero-dispersion crossing, as may be required for adjusting the wavelength at which Cherenkov radiation occurs. In the case where a mode converter is used to join two sections of HOM fiber, it is known from the prior art that such mode converters may be tunable, with the capability of switching light from one incoming HOM fiber to any of a set of outgoing HOM fibers (including, of course, reflecting back into the incoming HOM fiber). If a tunable mode converted is employed in this case, the resulting HOM module will additional provide a means to dynamically change the effective optical path length of the fiber and, by extension, its dispersion, dispersion-zero and/or dispersion slope (as may be desired for different SSFS and Cherenkov applications). Thus, a module with adjustable HOM fiber lengths may be designed and is considered to fall within the scope of the present invention. Indeed, in embodiments that utilize a multiple number of concatenated HOM fiber sections, tunable mode converters may be used at the interface between any two sections.
LPGs offer coupling between co-propagating modes of a fiber and have found a variety of applications as spectral shaping elements and mode-conversion devices. However, LPGs are normally narrow-band devices, and while they offer strong mode coupling (>99%), the spectral width of such coupling was typically limited to a range of 0.5 to 2 nm, too narrow for a femtosecond pulse. To overcome the spectral limitation, reports have shown that the LPG bandwidth can be extended to greater than 60 nm in some cases, if the fiber waveguide is configured to yield two modes with identical group velocities. It is to be noted that the large bandwidth of HOM module 20, as shown in
Referring again to
As mentioned above, output long period grating 26 is used to convert the beam back to a Gaussian output. Dispersion-matching configurations are preferably used that yield ultra-large bandwidths, ensuring that the output pulse is always converted back to a Gaussian profile, within a tuning range of approximately 250 nm. An important consideration for output grating 26 is its length. Since the energetic output pulses are solitons for the specific combination of dispersion D and effective area Aeff of the LP02 mode, nonlinear distortions may occur when the signal converts to the LP01 mode (having a smaller Aeff) at the output. However, the length over which the signal travels in the LP01 mode, and hence the distortion it accumulates, can be minimized. The high index core of HOM fiber 22 enables the use of an output long period grating 26 of lengths less than 5 mm, which implies that light resides in the LP01 mode for less than 2.5 mm and therefore largely avoids nonlinear distortions. It is to be noted that the requirement for “short” LPGs actually complements the need for broad bandwidth operation, since the conversion bandwidth is typically inversely proportional to the grating length.
Although preferred embodiments have been depicted and described in detail herein, it will be apparent to those skilled in the relevant art that various modifications, additions, substitutions and the like can be made without departing from the spirit of the invention and these are therefore considered to be within the scope of the invention as defined in the claims which follow.
This application claims the benefit of U.S. Provisional Applications 60/863,082, filed Oct. 26, 2006, and 60/896,357, filed Mar. 22, 2007, both provisional applications herein incorporated by reference.
Number | Date | Country | |
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60863082 | Oct 2006 | US | |
60896357 | Mar 2007 | US |