Cross‐focusing of two coaxial laser beams in a dielectric

Abstract

The possibility of focusing a laser beam by the optical inhomogeneities induced by a second strong coaxial laser beam has been investigated. In a particular case in which the power of the strong beam equals the critical power, the medium provides an oscillatory waveguide for the weak beam. When both beams are strong the nonlinearities induced by them are additive, and both beams become focused even when their powers are below the critical powers.

Passive, “self-trapped family” all-optical half adder using all-optical XOR and AND gates

“…Here Adopting the approach of Refs. [16][17][18] (that assumes the beams maintain their Gaussian shape while the widths vary along propagation), which is based on WKB and paraxial ray approximation, we obtain two coupled equations that govern the dependence of the beam width parameters fi, fs of the two beams on the propagation distance. For the case COl --cos, we have ~n --r ----cm = ~2s ----a (say), s = S20 = s r = Cs2 = Es, rl = rs = r0, and the coupled equations take the form…”

Self-focusing and cross-focusing of Gaussian electromagnetic beams in fully ionized collisional magnetoplasmas

“…26,27 The recent spurt of interest in self-focusing of electromagnetic beams in plasmas has spilled over to mutual focusing/ defocusing of coaxial beams in the plasma ͑or a nonlinear dielectric͒. Sodha et al 28,29 analyzed the cross-focusing of two coaxial laser beams and of two spatial modes of the same laser frequency in nonlinear dielectrics. Sodha et al 30 also investigated the cross-focusing of coaxial electromagnetic beams in a magnetoplasma, on account of the ponderomotive force.…”