Accession Number:

ADP007554

Title:

An Efficient Finite Element Scheme for Highly Nonlinear Waveguides,

Descriptive Note:

Corporate Author:

IMPERIAL COLL OF SCIENCE AND TECHNOLOGY LONDON (UNITED KINGDOM) DEPT OF PHYSI CS

Personal Author(s):

• Hernande-Figueroa, H. E.

Report Date:

1992-05-22

Pagination or Media Count:

4.0

Abstract:

Since the late 70s the Beam Propagation Method BPM or Split-Step Fourier Method SSFM, has been widely used for solving the nonlinear partial differential equations which describe the propagation of spatial pulses through waveguide structures. By applying the Split-Step technique, the paraxial wave equation can be split in two propagating equations, one involving only linear terms and another including nonlinear ones. These two equations describe diffraction and nonlinear refraction respectively. In the SSFM, diffraction is integrated by using the Fourier transform. However, the performance of this method is known to be seriously affected when abrupt variations of the refractive index are taken into account, and the problem tends to become even worse in the high nonlinear regime.

Descriptors:

• *OPTICAL WAVEGUIDES
• *FINITE ELEMENT ANALYSIS
• DIFFRACTION
• INDEXES
• PARTIAL DIFFERENTIAL EQUATIONS
• PROPAGATION
• PULSES
• REFRACTION
• REFRACTIVE INDEX
• STRUCTURES
• VARIATIONS
• WAVE EQUATIONS
• SYMPOSIA
• UNITED KINGDOM
• NONLINEAR OPTICS

Subject Categories:

• Optics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE