Direct and inverse scattering for transient electromagnetic waves in nonlinear media

Summary, in English

Nonlinear propagation of electromagnetic waves is an important problem in

optics. Often the properties of the nonlinear media are not fully understood.

The solution of an inverse problem can provide an aid to that understanding.

An inverse transmission problem is posed, it is one of reconstructing the

medium parameters, by measurement of a wave that has been propagated

through the nonlinear medium. The nonlinear medium is assumed to be homogeneous

and isotropic. The methods have application to nonlinear optics,

and the numerical results for both the direct and inverse problems presented

are based on the nonlinear Kerr effect, which is observed in the optical wavelength

band. However, the mathematical techniques that are developed are

applicable to any set of nonlinear first order equations. The method is therefore

model independent.

• Author: Gerhard Kristensson; David Wall
• Department/s: Department of Electrical and Information Technology
• Publishing year: 1997
• Language: English
• Publication/Series: Technical Report LUTEDX/(TEAT-7060)/1-28/(1997)
• Full text: - 588 kB; Download statistics
• Document type: Report
• Publisher: [Publisher information missing]
• Topic: Other Electrical Engineering, Electronic Engineering, Information Engineering; Electrical Engineering, Electronic Engineering, Information Engineering
• Status: Published
• Report number: TEAT-7060
• Research group: Electromagnetic theory