This project tested the conjecture linking turbulence strength, as quantified by the index of refraction, to the Lyapunov Exponents of the time series representing this turbulence. To test this hypothesis, we used three time series of atmospheric measurements in the upper troposphere. Our results confirmed this hypothesis and established a qualitative link between the index of refraction and the Lyapunov Exponents. To accomplish these objectives, we used phase space reconstruction techniques and three different algorithms to estimate the Lyapunov Exponents.

• This report represents the work of one or more WPI undergraduate students submitted to the faculty as evidence of completion of a degree requirement. WPI routinely publishes these reports on its website without editorial or peer review.

Creator

• Dia, Alpha Sada

Publisher

• Worcester Polytechnic Institute

Identifier

• 04D060M

Advisor

• Humi, Mayer

Year

• 2004

Date created

• 2004-01-01

Resource type

• Major Qualifying Project

Major

• Mathematical Sciences

Rights statement

• In Copyright