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Summary: Efficient modulation frequency doubling by induced modulation instability
Stefan Wabnitz a,*, Nail Akhmediev b
a
Dipartimento di Elettronica per l'Automazione, Universitą di Brescia, Via Branze 38, 25123 Brescia, Italy
b
Optical Sciences Group, Research School of Physics and Engineering, The Australian National University, Canberra ACT 0200, Australia
a r t i c l e i n f o
Article history:
Received 19 September 2009
Received in revised form 12 November 2009
Accepted 12 November 2009
a b s t r a c t
We show that inducing modulation instability with a weak modulation whose frequency is such that its
second harmonic falls within the band of instability may lead to asynchronous FermiPastaUlam recur-
rence and efficient transfer of power from the pump into the second harmonic of the modulation, result-
ing in a periodic modulation at the second harmonic with extinction ratios in excess of 30 dB.
Ó 2009 Elsevier B.V. All rights reserved.
Modulation instability (MI) [1,2] is a well-known physical pro-
cess leading to the break-up of uniform waves in weakly nonlinear
and dispersive transmission media, such as for example deep water
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