Multimode Nonlinear Fiber Optics: Massively Parallel Numerical Solver, Tutorial, and Outlook

Wright, Logan G.; Ziegler, Zachary M.; Lushnikov, Pavel M.; Zhu, Z.H.; Eftekhar, M. A.; Christodoulides, Demetrios N.; Wise, Frank W.

doi:10.1109/jstqe.2017.2779749

Cited by 161 publications

(83 citation statements)

References 136 publications

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“…Spatiotemporal nonlinear multimode fiber optics is a more recent development [187][188][189][190][191][192][193][194][195][196][197][198][199][200][201][202][203][204]. These studies employ graded-index (GRIN) fibers, which feature smaller modal dispersion than step-index fibers.…”

Section: Spatiotemporal Nonlinear Multimode Fiber Opticsmentioning

confidence: 99%

Several new directions for ultrafast fiber lasers [Invited]

et al. 2018

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Ultrafast fiber lasers have the potential to make applications of ultrashort pulses widespread - techniques not only for scientists, but also for doctors, manufacturing engineers, and more. Today, this potential is only realized in refractive surgery and some femtosecond micromachining. The existing market for ultrafast lasers remains dominated by solid-state lasers, primarily Ti:sapphire, due to their superior performance. Recent advances show routes to ultrafast fiber sources that provide performance and capabilities equal to, and in some cases beyond, those of Ti:sapphire, in compact, versatile, low-cost devices. In this paper, we discuss the prospects for future ultrafast fiber lasers built on new kinds of pulse generation that capitalize on nonlinear dynamics. We focus primarily on three promising directions: mode-locked oscillators that use nonlinearity to enhance performance; systems that use nonlinear pulse propagation to achieve ultrashort pulses without a mode-locked oscillator; and multimode fiber lasers that exploit nonlinearities in space and time to obtain unparalleled control over an electric field.

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Section: Spatiotemporal Nonlinear Multimode Fiber Opticsmentioning

confidence: 99%

Several new directions for ultrafast fiber lasers [Invited]

et al. 2018

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“…Equations (8) and (9) were solved by the graphical method and the results of the neff for the first 10 LP0n modes are shown as a function of rco in Fig. 2 (solid curves).…”

Section: A the Lp0n Modes In Ofismentioning

confidence: 99%

“…ULTIMODE FIBERS (MMFs) have acquired significant popularity in areas such as telecommunications [1], [2], microscopic imaging [3], optical manipulation [4], [5], fiber lasers and amplifiers [6], [7]. Moreover, MMFs provide new degrees of freedom and opportunities in linear and the nonlinear optics, which are not possible to realize with singlemode fibers (SMFs) [8]- [10]. Most of the research relating to single-core step-index MMFs [3], [4], no-core fibers (NCFs) [5], graded-index fibers [2], [10] and multicore fibers [1] has focused on studies of the core modes, which propagate mainly in the core region.…”

Section: Introductionmentioning

confidence: 99%

Discrete Self-Imaging in Small-Core Optical Fiber Interferometers

Lian

Farrell

et al. 2019

J. Lightwave Technol.

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Multiple cladding modes can exist in a small-core optical fiber unaccompanied by core modes, yet this fact has not been sufficiently explored in literature to date. In this article, we study the self-imaging of cladding modes in small core optical fiber interferometers. Our analytical and numerical simulations and experiments show that unlike the self-imaging of core modes, self-imaging of cladding modes only appears at a set of discrete positions along the interferometer axis with an equal spacing corresponding to some discrete values of fiber core radius. This is the first observation of the discrete self-imaging effect in multimode waveguides. More strikingly, the selfimaging period of cladding modes grows exponentially with fiber core radius, unlike the quadratic relationship in the case of core modes. The findings bring new insights to the mode propagation in an optical fiber with a core at micro/nanoscale, which may open new avenues for exploring multimode fiber technologies in both linear and nonlinear optics.

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“…Nonlinear optical behavior between these cladding modes provides a different perspective to study four-wave mixing and soliton dynamics because there are a large number of optical modes spatially overlapping one another. The equations of motion governing such a system become intrinsically more complex [17,18] than those of their single-mode counterparts. Because of their large size yet relatively strong confinement, the dispersion characteristics of cladding modes are very nearly optimal for SC generation when pumped at 1060 nm.…”

Section: Nonlinear Properties Of the Endlessly Single-mode Fibermentioning

confidence: 99%

Supercontinuum Generation in the Cladding Modes of an Endlessly Single-Mode Fiber

et al. 2019

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In photonic crystal fibers, light guidance can be achieved by a central defect of a periodic structure of air holes in a silica glass matrix and the dispersion can be adjusted over a wide spectral range to enhance nonlinear effects. By coupling short pulse laser radiation into the core with tight confinement and utilizing the nonlinear properties of glass, this radiation can be converted to a broad spectral distribution. The tight confinement puts limits on the maximum pulse fluence propagating in the core due to the damage threshold of the glass. Therefore, when higher power spectral densities are desired, it is favorable to spread the generation of light over a much larger area to prevent fiber damage. We present here a method for generating a supercontinuum using the cladding modes of an endlessly single-mode fiber. These modes generate a supercontinuum utilizing a multimodal quasi-continuum of states, for which dispersion is governed by the guiding properties of the material between the air-filled holes in the cladding. The system also provides experimental access to unique phenomena in nonlinear optics. Simulations of the propagation properties of the core mode and cladding modes were compared with measurements of the group-velocity dispersion in a modified white-light Mach–Zehnder interferometer. The coupling of similar laser parameters into the cladding of the photonic crystal fiber enables a significant increase in conversion efficiency in the visible spectral range compared with the core-pumped case.

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Multimode Nonlinear Fiber Optics: Massively Parallel Numerical Solver, Tutorial, and Outlook

Cited by 161 publications

References 136 publications

Several new directions for ultrafast fiber lasers [Invited]

Several new directions for ultrafast fiber lasers [Invited]

Discrete Self-Imaging in Small-Core Optical Fiber Interferometers

Supercontinuum Generation in the Cladding Modes of an Endlessly Single-Mode Fiber

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