Zitterbewegung of optical pulses in nonlinear frequency conversion
Résumé
Pulse walk-off in the process of sum frequency generation in a nonlinear χ (2) crystal is shown to be responsible for pulse jittering which is reminiscent to the Zitterbewegung (trembling motion) of a relativistic freely moving Dirac particle. An analytical expression for the pulse center of mass trajectory is derived in the nopump-depletion limit, and numerical examples of Zitterbewegung are presented for sum frequency generation in periodically-poled lithium niobate. The proposed quantumoptical analogy indicates that frequency conversion in nonlinear optics could provide an experimentally accessible simulator of the Dirac equation.
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PEER_stage2_10.1088%2F0953-4075%2F43%2F20%2F205402.pdf (301.55 Ko)
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