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Journal of Lightwave Technology

A model of nonlinear all-optical switching in doped fibers

R. H. Pantell, Michel J. F. Digonnet

Published Jan 1, 1994• 18 citations
Publisher

Abstract

A theoretical model of switches utilizing the resonantly enhanced nonlinearity present in doped fibers is presented. It establishes the dependence of the switching pump power, fiber length, residual resonant signal loss, and response time of the switch on the dopant spectroscopic parameters. Simple factors of merits are derived for the power and the length requirements and are evaluated for selected rare-earth transitions. The most promising candidates require only a fraction of a mW and a few cm of fiber for full switching. Similar power characteristics, but with considerably shorter response times (ns) and lengths (sub-mm), are predicted for dopants with a high oscillator strength transition, or a power-length product ten orders of magnitude smaller than for switches based on the Kerr effect in undoped silica fibers.>

DOI
10.1109/50.265747

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We report low loss, low pump power, optical-optical switches in rare-earth-doped fibers based on the third-order optical nonlinearity resonantly enhanced by the dopant. In a 0.95-m Er- doped two-mode fiber switch pumped with a 1.48-micrometers diode laser, the absorbed pump power required for switching a 906-nm signal was 8 mW, for a signal loss of only 0.25 dB. This is an enhancement by a factor of 6200 in power-length product over undoped silica. The phase shift was found to be due in part to a non-resonant contribution, thought to arise from a strong UV-VUV transition, and in part to a resonant term from the 980-nm transition. In a 0.98-m Nd-doped, elliptical-core, two-mode fiber switch, switching of a 632.8-nm signal was achieved with only 6.6 mW of absorbed power at 900 nm. The dynamic response of the switch was found to have two components, a slow component equal to the metastable level lifetime (approximately equals 380 microsecond(s) ) and a fast component (approximately equals 2 microsecond(s) ). The latter is believed to arise from rapid cross-relaxation between paired ions, a mechanism which shows promises for low- power, microsecond switching in fibers.

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We report a new theoretical interpretation of the strong resonantly-enhanced third-order nonlinearity observed in fibers doped with Nd/sup 3+/, Er/sup 3+/, or Yb/sup 3+/. For each fiber, the absolute contributions of the near resonance (IR-visible) and far from resonance (UV) transitions to the nonlinearity are calculated and compared to experimental values. We show that in all cases, a large fraction of the measured nonlinearity is due to strong UV transitions. The consequences of this observation on the bandwidth, switching power and response time of switches based on this effect are discussed.

Journal of Lightwave Technology•Jan 1, 1997•29 citations
A theoretical model of switches utilizing the resonantly enhanced nonlinearity present in doped fibers is presented. It establishes the dependence of the switching pump power, fiber length, residual resonant signal loss, and response time of the switch on the dopant spectroscopic parameters. Simple factors of merits are derived for the power and the length requirements and are evaluated for selected rare-earth transitions. The most promising candidates require only a fraction of a mW and a few cm of fiber for full switching. Similar power characteristics, but with considerably shorter response times (ns) and lengths (sub-mm), are predicted for dopants with a high oscillator strength transition, or a power-length product ten orders of magnitude smaller than for switches based on the Kerr effect in undoped silica fibers.>
We report low loss, low pump power, optical-optical switches in rare-earth-doped fibers based on the third-order optical nonlinearity resonantly enhanced by the dopant. In a 0.95-m Er- doped two-mode fiber switch pumped with a 1.48-micrometers diode laser, the absorbed pump power required for switching a 906-nm signal was 8 mW, for a signal loss of only 0.25 dB. This is an enhancement by a factor of 6200 in power-length product over undoped silica. The phase shift was found to be due in part to a non-resonant contribution, thought to arise from a strong UV-VUV transition, and in part to a resonant term from the 980-nm transition. In a 0.98-m Nd-doped, elliptical-core, two-mode fiber switch, switching of a 632.8-nm signal was achieved with only 6.6 mW of absorbed power at 900 nm. The dynamic response of the switch was found to have two components, a slow component equal to the metastable level lifetime (approximately equals 380 microsecond(s) ) and a fast component (approximately equals 2 microsecond(s) ). The latter is believed to arise from rapid cross-relaxation between paired ions, a mechanism which shows promises for low- power, microsecond switching in fibers.
The use of rare-earth dopants for all-optical switching is of interest because of the very low pump powers required to achieve full switching. In addition, the ease with which rare-earth ions can be incorporated into silica based fibers and waveguides makes them ideally suited for the fabrication of fiber compatible components. The principal disadvantages of this type of nonlinearity are that the relaxation times are characteristically slow, and relatively long interaction lengths are required to achieve phase changes of the order of (pi) . In this presentation, an overview of the work being carried out in Australia will be given, concentrating on the techniques developed to minimize the relaxation times and power length products of these nonlinearities.
To explain the high third-order nonlinearity observed in rare earth doped fibers, we examine the role of the various transitions of the dopants. We present experimental evidence that in fibers doped with Er3+, Nd3+, or Yb3+, most of the nonlinearity is caused by the dopant's UV transitions, i.e., it is non-resonant in nature. The magnitude of the nonlinearity is shown to be in excellent quantitatively agreement with a model. Fiber modulators and switches based on this widespread mechanisms are predicted to operate over a large range of signal wavelengths and with negligible signal loss.
Nonradiative decay mechanisms in doped fibers introduce heat into the fiber core and often decrease the upper state lifetime of a dopant. This can be detrimental to doped-fiber lasers, amplifiers, and in some cases all-optical switches. In this paper we report theoretical and experimental studies of thermal effects in doped fibers, with particular emphasis on their impact on all-optical nonlinear switches using resonant nonlinearities. We observe significant thermal effects in transition metal-doped silica fibers. We determine that sub-microsecond(s) switching using a resonant nonlinear effect in a conventional switch architecture requires dopant oscillator strengths of 3.6 10-3 or greater when nonradiative processes are the predominant decay mechanism.
We report a new theoretical interpretation of the strong resonantly-enhanced third-order nonlinearity observed in fibers doped with Nd/sup 3+/, Er/sup 3+/, or Yb/sup 3+/. For each fiber, the absolute contributions of the near resonance (IR-visible) and far from resonance (UV) transitions to the nonlinearity are calculated and compared to experimental values. We show that in all cases, a large fraction of the measured nonlinearity is due to strong UV transitions. The consequences of this observation on the bandwidth, switching power and response time of switches based on this effect are discussed.