Conservation Laws in Higher-Order Nonlinear Optical Effects

Conservation laws of the nonlinear Schr\"{o}dinger equation are studied in the presence of higher-order nonlinear optical effects including the third-order dispersion and the self-steepening. In a context of group theory, we derive a general expression for infinitely many conserved currents and charges of the coupled higher-order nonlinear Schr\"{o}dinger equation. The first few currents and charges are also presented explicitly. Due to the higher-order effects, conservation laws of the nonlinear Schr\"{o}dinger equation are violated in general. The differences between the types of the conserved currents for the Hirota and the Sasa-Satsuma equations imply that the higher-order terms determine the inherent types of conserved quantities for each integrable cases of the higher-order nonlinear Schr\"{o}dinger equation

Observation of the formation of an optical intensity shock and wave breaking in the nonlinear propagation of pulses in optical fibers

We have observed the formation of an optical intensity shock and the subsequent wave breaking in the nonlinear propagation of 1-psec pulses in an optical fiber. The wave breaking manifests itself as the appearance of oscillations trailing the shock, which are due to the beating of widely separated frequency components which bridge the shock. The experimental results are in good agreement with numerical solutions of the nonlinear Schrodinger equation.Peer reviewedElectrical and Computer Engineerin

Noncontact Material Testing Using Low-Energy Optical Generation and Detection of Acoustic Pulses

We will discuss preliminary results on the use of a low-energy laser and a sensitive laser interferometer for noncontact material testing of metals and nonmetals. There have been numerous reports [1–12] on the use of lasers to generate acoustic signals, but this is the first use of a relatively low-energy tunable laser source and improved interferometer to measure acoustic waveforms in both metals and nonmetals [13]. The use of a laser interferometer for the noncontact detection of acoustic pulses has also been reported previously [14–20], but we now report the use of a sensitive “non-Michelson” interferometer with increased signal-to-noise capabilities. The combination of these features allows noncontact, low-energy optical generation and optical detection in a variety of materials, in potentially hostile environments, and provides accurate accoustic waveforms which can be used to characterize specimens. These results, therefore, begin to demonstrate the feasibility of a portable (entirely) optical system for the nondestructive evaluation of materials

Noncontact Material Testing Using Low-Energy Optical Generation and Detection of Acoustic Pulses

We will discuss preliminary results on the use of a low-energy laser and a sensitive laser interferometer for noncontact material testing of metals and nonmetals. There have been numerous reports [1–12] on the use of lasers to generate acoustic signals, but this is the first use of a relatively low-energy tunable laser source and improved interferometer to measure acoustic waveforms in both metals and nonmetals [13]. The use of a laser interferometer for the noncontact detection of acoustic pulses has also been reported previously [14–20], but we now report the use of a sensitive “non-Michelson” interferometer with increased signal-to-noise capabilities. The combination of these features allows noncontact, low-energy optical generation and optical detection in a variety of materials, in potentially hostile environments, and provides accurate accoustic waveforms which can be used to characterize specimens. These results, therefore, begin to demonstrate the feasibility of a portable (entirely) optical system for the nondestructive evaluation of materials.</p