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Nonlinear Fiber Optics - 4 ed. Agrawal

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440 Chapter 11. Highly <strong>Nonlinear</strong> <strong>Fiber</strong>s<br />

Figure 11.11: Scanning electron micrographs of four types of microstructur<strong>ed</strong> fibers. (After<br />

Ref. [69]; c○2001 OSA.)<br />

11.4 Microstructur<strong>ed</strong> <strong>Fiber</strong>s<br />

Narrow-core taper<strong>ed</strong> fibers with an air cladding suffer from a practical problem. They<br />

are fragile, are hard to handle, and are rarely much longer than 30 cm. This problem has<br />

been solv<strong>ed</strong> to a large extent with the development of microstructur<strong>ed</strong> fibers in which<br />

the narrow silica core is surround<strong>ed</strong> by a silica cladding with emb<strong>ed</strong>d<strong>ed</strong> air holes. For<br />

this reason, such fibers are also known as “holey” fibers. For historical reasons, they<br />

are also referr<strong>ed</strong> to as the photonic crystal fibers (PCFs). In fact, such a fiber was first<br />

develop<strong>ed</strong> in 1996 in the form of a photonic-crystal cladding with a periodic array of<br />

air holes [66]. It was realiz<strong>ed</strong> later that the periodic nature of air holes is not critical for<br />

silica-core fibers as long as the cladding has multiple air holes that effectively r<strong>ed</strong>uce<br />

its refractive index below that of the silica core [67]–[71]. In this case, light is guid<strong>ed</strong><br />

by the total internal reflection, and the air holes are us<strong>ed</strong> to r<strong>ed</strong>uce the index of the<br />

cladding region.<br />

The periodic nature of the air holes become important in the so-call<strong>ed</strong> photonic<br />

bandgap fibers in which the optical mode is confin<strong>ed</strong> to the core by periodic variations<br />

of the refractive index within the cladding. The core of such fibers often contains air<br />

to which light is confin<strong>ed</strong> by the photonic bandgap [72]. Such true PCFs can act as a<br />

highly nonlinear m<strong>ed</strong>ium if air is replac<strong>ed</strong> with a suitable gas or liquid [73]. For example,<br />

when air was replac<strong>ed</strong> with hydrogen in such a fiber, stimulat<strong>ed</strong> Raman scattering<br />

was observ<strong>ed</strong> at pulse energies that indicat<strong>ed</strong> that Raman threshold was more than 100<br />

times lower than that of silica fibers [74].<br />

Figure 11.11 shows four examples of microstructur<strong>ed</strong> fibers [69]. In design (a),<br />

the narrow silica core is surround<strong>ed</strong> by a single ring of air holes, resulting in a high<br />

refractive-index step. The rest of the cladding is made of silica. In design (b), the<br />

narrow silica core is surround<strong>ed</strong> by multiple rings of periodic air holes, resulting in a<br />

PCF structure. In design (c), air holes surrounding the narrow silica core are so large<br />

in size that the core is mostly surround<strong>ed</strong> by air. This design is sometimes referr<strong>ed</strong><br />

to as the “grapefruit” structure because of its appearance. In design (d), the core is<br />

surround<strong>ed</strong> by a ring of mostly air. The integrity of the structure is maintain<strong>ed</strong> by<br />

narrow silica bridges that connect the core with the rest of the cladding. In all designs,<br />

the size of air holes varies from structure to structure and can change from

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