Nonlinear waves guided by a dielectric slab

Stationary plasmon-soliton waves in metal-dielectric nonlinear planar structures: Modeling and properties

“…The solution of Eq. ( 11) is well known in the literature [2,5,40,41]. In the nonlinear layer the solution is in the form (the y subscript of the magnetic field is skipped as in our models there is only one magnetic field component, while the subscript 1 indicates the nonlinear layer, see Fig.…”

Theoretical analysis of TM nonlinear asymmetrical waveguide optical sensors

“…Assuming the nonlinear dielectric functions to be of Kerr type, i.e., ε nl1 = ε c +˛c|E| 2 and ε nl3 = ε s +˛s|E| 2 , where˛c and˛s are the nonlinear coefficients of the cladding and substrate, respectively and ε c and ε s are the linear parts of the permittivities. To solve the nonlinear wave equation for the magnetic field H, one can write ε nl1 and ε nl3 as [9,10,12,13]: where˛ c =˛c/ε c c 2 ε 2 0 and˛ s =˛s/ε s c 2 ε 2 0 , c is the speed of light in vacuum, ε 0 is the free space permittivity and H y1 and H y3 are the TM fields in the cladding and substrate, respectively.…”

Exact solution of nonlinear surface waves guided by a non-Kerr-like, power-law-dependent medium

“…(51, we get the second integration: a + bEy tanh-' d, = z + zo, ( 6 ) & where a = k:, b = -( 2 / 3 ) a k i , assuming that a is greater than zero, and zo is the second integration constant, indicating the location of field maximum in the non-Kerr-like cover, which is obtained from the continuity condition of H, and Ey at z = 0. After some algebraic manipulation, and putting back the values of a and b in Eq.…”

“…Systems involving nonlinear dielectric media and their interaction with light waves are potentially useful in various important practical applications in nonlinear optics, signal and data processing, and optical computers [1][2][3][4][5][6][7][8]. Most published articles concentrate on the behavior of nonlinear surfaces, and on guided waves in nonlinear Kerr-like media, where the refractive index depends upon the quadratic optical field intensity, and exact solutions [l-81 have been obtained for TE s-polarized nonlinear waves.…”