Photonic Crystal Fibers
Pioneered by the research group of Philip St. J. Russell in the 1990s, the development of photonic crystal fibers and the exploration of the great variety of possible applications have attracted huge interest. The field, which constitutes a part of the wider field of photonic bandgap structures while utilizing other concepts as well, can be considered as one of the most active fields of current optics research. This is partly because these fibers offer many degrees of freedom in their design to achieve a variety of peculiar properties, which make them interesting for a wide range of applications (see below).
Fabrication of Photonic Crystal Fibers
There is a triangular pattern of air holes, where the central hole is missing. The gray area indicates glass, and the white circles air holes with typical dimensions of a few micrometers.
A photonic crystal fiber (also called holey fiber, hole-assisted fiber, microstructure fiber, or microstructured fiber) is an optical fiber which obtains its waveguide properties not from a spatially varying glass composition but from an arrangement of very tiny and closely spaced air holes which go through the whole length of fiber. Such air holes can be obtained by using a preform with (larger) holes, made e.g. by stacking capillary and/or solid tubes (stacked tube technique) and inserting them into a larger tube. Usually, that preform is then first drawn to a cane with a diameter of e.g. 1 mm, and thereafter into a fiber with the final diameter of e.g. 125 μm.
Particularly soft glasses and polymers (plastics) also allow the fabrication of preforms for photonic crystal fibers by extrusion [13, 30]. There is a great variety of hole arrangements, leading to PCFs with very different properties. All these PCFs can be considered as specialty fibers.
Most PCFs are made of pure fused silica (→ silica fibers), which is compatible with the above-mentioned fabrication techniques. However, various PCFs made of other materials have been demonstrated, most notably of heavy metal soft glasses and of polymers (plastic optical fibers), sometimes used even for terahertz radiation . An interesting method is also to produce soft glass PCF preforms with 3D printing .
Photonic Crystal Fiber Designs
Depending on the design, substantially different physical mechanisms providing the guidance of light may be obtained. The most important designs are explained in the following.
Triangular Hole Patterns
The simplest (and most often used) type of photonic crystal fiber has a triangular pattern of air holes, with one hole missing (see Figure 1), i.e. with a solid core surrounded by an array of air holes. The guiding properties of this type of PCF can be roughly understood with an effective index model: the region with the missing hole has a higher effective refractive index, similar to the fiber core in a conventional fiber. That guiding principle can work in a very wide range of wavelengths; even single-mode guidance may be obtained in a very wide spectral region (endlessly single-mode fibers) .
Photonic Bandgap Fibers
There are also so-called photonic bandgap fibers (PBG fibers)  with a totally different guiding mechanism, based on a photonic bandgap of the cladding region, which is considered as a two-dimensional photonic crystal. Based on that mechanism, one can even obtain guidance in a hollow core (i.e. in a low-index region) (see Figure 2), such that most of the power propagates in the central hole (→ hollow-core fibers). Such air-guiding hollow-core photonic crystal fibers (or air core bandgap fibers) can have a very low nonlinearity and a high damage threshold.
Photonic bandgap fibers typically guide light only in a relatively narrow wavelength region with a width of e.g. 100–200 nm and can be used e.g. for pulse compression with high optical intensities, as most of the power propagates in the hollow core.
Active Fibers for Amplifiers and Lasers
Laser-active PCFs for fiber lasers and amplifiers can be fabricated, e.g., by using a rare-earth-doped rod as the central element of the preform assembly. Rare earth dopants (e.g. ytterbium or erbium) tend to increase the refractive index, but this can be accurately compensated, e.g. with additional fluorine doping of the core or with germanium doping of the cladding, so that the guiding properties are determined by the photonic microstructure only and not by a conventional-type refractive index difference. With rare-earth-doped PCFs, it is possible to realize, for example, soliton mode-locked fiber lasers operating in the 1-μm region, where a fiber's chromatic dispersion would usually be in the normal dispersion regime, but can be anomalous for suitable designs [7, 15, 16]. However, one may also implement dispersion management by incorporating dispersion-modified passive fibers in the laser resonator.
For high-power fiber lasers and amplifiers, double-clad PCFs (Figure 4) can be used, where the pump cladding is surrounded by an air cladding region (air-clad fiber). Due to the very large contrast of refractive index, the pump cladding can have a very high numerical aperture (NA), which significantly lowers the requirements on the pump source with respect to beam quality and brightness. Such PCF designs can also have very large mode areas of the fiber core [4, 26] while guiding only a single mode for diffraction-limited output, and are thus suitable for very high output powers with excellent beam quality. Another advantage is that the pump light is kept away from any polymer coating, thus avoiding possible problems with overheating of a coating.
In most cases, photonic crystal fibers either have single-mode propagation only or support a small number of guided modes (few-mode fibers). The intensity profiles of the fundamental guided modes are largely concentrated in the core, while higher-order modes tend to extend more into the cladding area. Normally, the mode fields extend into the air holes only to a very small amount; the intensity pattern are “squeezed” between the holes.
The calculation of mode properties of such fibers is relatively difficult, (a) because no radial symmetry is given (in contrast to most all-glass fibers), and (b) because of the large refractive index contrast between air and glass. Advanced mode solver software is required, which generally requires substantially longer computation times than simple mode solvers which are restricted to LP modes.
Properties Achievable by Design
Photonic crystal fibers with different designs of the hole pattern (concerning the basic geometry of the lattice, the relative size of the holes, and possibly small displacements) can have very remarkable properties, strongly depending on the design details:
- It is possible to obtain a very high numerical aperture of e.g. 0.6 or 0.7 of multimode fibers (also for the pump cladding of a double-clad fiber) .
- Single-mode guidance over very wide wavelength regions (endlessly single-mode fiber) is obtained for small ratios of hole size and hole spacing .
- Extremely small effective mode areas are possible, so that obtains highly nonlinear fibers.
- Also, extremely large mode areas are possible; the numerical aperture may be smaller than possible with a conventional all-glass fiber design. That leads to very weak optical nonlinearities, as are beneficial e.g. when ultrashort pulses with high peak power need to be guided. PCFs can be made with a low sensitivity to bend losses even for large mode areas .
- Certain hole arrangements result in a photonic bandgap (→ photonic bandgap fibers). Based on that principle, guidance is possible even in a hollow core, as a higher refractive index in the inner part is no longer required. Such air-guiding hollow-core fibers are interesting e.g. for dispersive pulse compression at high pulse energy levels.
- Particularly for larger holes, there is the possibility to fill gases or liquids into the holes. Gas-filled PCFs can be exploited for fiber-optic sensors, for nonlinear spectral broadening at very high power levels, or for variable power attenuators.
- Asymmetric hole patterns can lead to extremely strong birefringence for polarization-maintaining fibers . This can also be combined with large mode areas.
- Strongly polarization-dependent attenuation (polarizing fibers) [18, 24] can be obtained in different ways. For example, there can be a polarization-dependent fundamental mode cut-off, so that the fiber guides only light with one polarization in a certain wavelength range.
- Similarly, it is possible to suppress Raman scattering  by strongly attenuating longer-wavelength light.
- Very unusual chromatic dispersion properties, e.g. anomalous dispersion in the visible wavelength region , result particularly for PCFs with small mode areas. There is substantial design freedom, allowing for different combinations of desirable parameters.
- Multicore designs are possible, e.g. with a regular pattern of core structures in a single fiber, where there may or may not be some coupling between the cores.
Technical Issues with Fiber Ends
Overall, photonic crystal fibers are handled in similar ways as standard optical fibers. However, special care is required in various respects:
- Ends of PCFs may not be cleaned with liquid solvents, such as ethanol, as capillary forces may pull liquid substances into the hole. Of course, the guiding properties can be strongly modified with any liquid in the holes. There is even research on exploiting such effects, e.g. for variable optical attenuators: a tunable amount of optical loss is obtained by controlling the degree to which a liquid penetrates the holes.
- Cleaving and fusion splicing PCFs is possible, but may be more difficult, particularly for fibers with large air content. During fusion splicing, the air may expand and distort the fiber structure. Connections between fibers are also possible with a variety of mechanical splices, fiber connectors, protected patch cables, beam expansion units, etc.
- Even when the splicing process works well, there may be a substantial coupling loss due to a mismatch of mode areas, e.g. when a small-core PCF is coupled to a standard single-mode fiber. There are special tapered single-mode fibers and tapered PCFs for enhancing the coupling efficiency, but these may not be easily available.
Core-less end caps can be fabricated simply by fusing the holes near the fiber end with a heat treatment. The sealed end facets allow for larger mode areas at the fiber surface and thus a higher damage threshold, e.g. for amplifying intense nanosecond pulses.
Their special properties make photonic crystal fibers very attractive for a very wide range of applications. Some examples are:
- fiber lasers and amplifiers, including high-power devices, mode-locked fiber lasers, etc.
- nonlinear devices e.g. for supercontinuum generation [9, 28] (→ frequency combs), Raman conversion , parametric amplification, or pulse compression
- telecom components, e.g. for dispersion control, filtering or switching
- fiber-optic sensors of various kinds
- quantum optics, e.g. generation of correlated photon pairs , electromagnetically induced transparency, or guidance of cold atoms.
Even though PCFs have been around for a number of years, the huge range of possible applications is far from being fully explored. It is to be expected that this field will stay very lively for many years and many opportunities for further creative work, concerning both fiber designs and applications.
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