The second or the third harmonic generation on a nonlinear film in a Bragg resonator

Author

Borulko, V.F.

Author_Institution

Dept. of Radiophys., Dnipropetrovsk Nat. Univ., Ukraine

Volume

2

fYear

2002

fDate

10-13 Sept. 2002

Firstpage

551

Abstract

A resonator formed by nonperiodic Bragg structure and nonlinear film is considered. Effects of the second or the third harmonic generation are theoretically investigated. System of nonlinear equations for amplitudes of time harmonics is obtained. Phenomenon of resonant increasing of amplitude of the higher harmonic caused by combination of nonlinear and Bragg effects is discovered. Reason of instability of numeric algorithm for "optimal" case is revealed. Ways for overcoming this instability are found. Bistable behavior of scattered waves is observed for cubic nonlinearity.

Keywords

electromagnetic wave scattering; harmonics; nonlinear equations; Bragg resonator; bistable behavior; cubic nonlinearity; nonlinear equations; nonlinear film; nonperiodic Bragg structure; optimal case; scattered waves; second harmonic generation; third harmonic generation; time harmonics; Boundary conditions; Frequency conversion; Impedance; Nonlinear equations; Optical films; Partial differential equations; Periodic structures; Permittivity; Resonance; Scattering;

fLanguage

English

Publisher

ieee

Conference_Titel

Mathematical Methods in Electromagnetic Theory, 2002. MMET '02. 2002 International Conference on

Conference_Location

Kiev, Ukraine

Print_ISBN

0-7803-7391-X

Type

conf

DOI

10.1109/MMET.2002.1107007

Filename

1107007