We introduce a unique technique for generating directional coherent emissions that could be utilized to create coherent sources in a wide range of frequencies from the extreme ultraviolet (XUV) to the deep infrared. This is accomplished without population inversion by pumping a two-level system with a far-detuned strong optical field that induces the splitting of the two-level system. A nonlinear process of four-wave mixing then occurs across the split system
driving coherent emission at sidebands both red- and blue-detuned from the pump frequency
and propagates both forward and backward along the pump beam path. We observed this phenomenon in dense rubidium vapor along both the
D
1
and
D
2
transitions. The sideband emission exhibits a short pulse duration (
<
1 ns) with threshold-like behavior dependent on both the pump intensity and Rb vapor density. This technique offers a new capability for mani
pulating the emission frequency simply through intensity-induced atomic modulation that can be scaled to most frequency regimes using various atomic/molecular ensembles and pump energies.
Attwood D.Soft X-Rays and Extreme Ultraviolet Radiation: Principles and Applications. Cambridge, UK: Cambridge University Press. 2007.
Kocharovsky V, Cameron S, Lehmann K, Lucht R, Miles Ret al. Gain-swept superradiance applied to the stand-off detection of trace impurities in the atmosphere.Proc Natl Acad Sci USA2005;102: 7806–7811..
Hemmer PR, Miles RB, Polynkin P, Siebert T, Sokolov AVet al. Standoff spectroscopy via remote generation of a backward-propagating laser beam.Proc Natl Acad Sci USA2011;108: 3130–3134..
Gudzenko LI, Shelepin LA. Negative absorption in a nonequilibrium hydrogen plasma.JETP1964;18: 998–1000..
Oliva E, Fajardo M, Li L, Pittman M, Le TTTet al. A proposal for multi-tensof GW fully coherent femtosecond soft X-ray lasers.Nat Photonics2012;6: 764–767..
Svidzinsky AA, Yuan LQ, Scully MO. Quantum amplification by superradiant emission of radiation.Phys Rev X2013;3: 041001..
Irons FE, Peacock NJ. Experimental evidence for population inversion in C5+in an expanding laser-produced plasma.J Phys B1974;7: 1109–1112..
Matthews D, Hagelstein PL, Rosen MD, Eckart MJ, Ceglio NMet al. Demonstration of a soft X-ray amplifier.Phys Rev Lett1985;54: 110–113..
Suckewer S, Skinner CH, Milchberg H, Keane C, Voorhees D. Amplification of stimulated soft X-ray emission in a confined plasma column.Phys Rev Lett1985;55: 1753–1756..
Rundquist A, Durfee CG III, Chang ZH, Herne C, Backus Set al. Phase-matched generation of coherent soft X-rays.Science1998;280: 1412–1415..
Popmintchev T, Chen M-C, Popmintchev D, Arpin P, Brown Set al. Bright coherent ultrahigh harmonics in the keV x-ray regime from mid-infrared femtosecond lasers.Science2012;336: 1287–1291..
Dogariu A, Michael JB, Scully MO, Miles RB. High-gain backward lasing in air.Science2011;331: 442–445..
Kartashov D, Ališauskas S, Andriukaitis G, Pugžlys Audrius, Shneider Met al. Free-space nitrogen gas laser driven by a femtosecond filament.Phys Rev A2012;86: 033831..
Laurain A, Scheller M, Polynkin P. Low-threshold bidirectional air lasing.Phys Rev Lett2014;113: 253901..
Horvath H. Atmospheric light absorption-a review.Atmos Environ A General Top1993;27: 293–317..
Mollow BR. Stimulated emission and absorption near resonance for driven systems.Phys Rev A1972;5: 2217–2222..
Wu FY, Ezekiel S, Ducloy M, Mollow BR. Observation of amplification in a strongly driven two-level atomic system at optical frequencies.Phys Rev Lett1977;38: 1077–1080..
Boyd RW, Raymer MG, Narum P, Harter DJ. Four-wave parametric interactions in a strongly driven two-level system.Phys Rev A1981;24: 411–423..
Agarwal GS, Boyd RW. Quantum theory of Rabi sideband generation by forward four-wave mixing.Phys Rev A1988;38: 4019–4027..
LeBerre-Rousseau M, Ressayre E, Tallet A. Self-induced generation of an off-axis frequency shiftedradiation from atoms.Opt Commun1981;36: 31–34..
Chauchard EA, Meyer YH. On the origin of the so called conical emission in laser pulse propagation in atomic vapor.Opt Commun1984;52: 141–144..
Golub I, Erez G, Shuker R. Cherenkov emission due to laser-induced moving polarisation in sodium.J Phys B1986;19: L115–L120..
Crenshaw ME, Cantrell CD. Conical emission as a result of pulse breakup into solitary waves.Phys Rev A1989;39: 126–148..
Grischkowsky D. Self-focusing of light by potassium vapor.Phys Rev Lett1970;24: 866–869..
Harter DJ, Narum P, Raymer MG, Boyd RW. Four-wave parametric amplification of Rabi sidebands in sodium.Phys Rev Lett1981;46: 1192–1195..
Maki JJ, Malcuit MS, Raymer MG, Boyd RW, Drummond PD. Influence of collisional dephasing processes on superfluorescence.Phys Rev A1981;40: 5135–5142..
Yuan LQ, Hokr BH, Traverso AJ, Voronine DV, Rostovtsev Yet al. Theoretical analysis of the coherence-brightened laser in air.Phys Rev A2013;87: 023826..
Harter DJ, Boyd RW. Four-wave mixing resonantly enhanced by ac-Stark-split levels in self-trapped filaments of light.Phys Rev A1984;29: 739–748..
Yoshikawa Y, Torii Y, Kuga T. Superradiant light scattering from thermal atomic vapors.Phys Rev Lett2005;94: 083602..
Greenberg JA, Gauthier DJ. Superradiance in an ultracold thermal vaporIn.Advances in Optical Sciences Congress2009. Honolulu, Hawaii, USA: Optical Society of America. 2009.
Inouye S, Chikkatur AP, Stamper-Kurn DM, Stenger J, Pritchard DEet al. Superradiant rayleigh scattering from a bose-einstein condensate.Science1999;285: 571–574..