Thesis: The Damped Driven Pendulum: Bifurcation Analysis of Experimental Data

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Chaos and Synchrony opto-electronic delay system.

Nonlinear dynamics of coupled delay systems.

Chaos and Synchrony in a system of three opto-electronic delay system.

Conference Presentation: Isochronous chaos synchronization of delay-coupled optoelectronic oscillators, 12th Annual Meeting of the Northwest Section of APS, Walla Walla, WA, Oct 1-2, 2010 (poster). Bulletin of the APS, Vol. 55, Num. 6
Paper: L. Illing, C. D. Panda, and L. Shareshian, Isochronal chaos synchronization of delay-coupled optoelectronic oscillators, Phys. Rev. E, vol. 84, 016213 (2011).

Reed College Science Research Fellowship: The dynamics of the Malkus water wheel.

Conference Presentation: The dynamics of the Malkus water wheel, 12th Annual Meeting of the Northwest Section of APS, Walla Walla, WA, Oct 1-2, 2010 (poster). Bulletin of the APS, Vol. 55, Num. 6

Thesis: The Dynamics of Delay Coupled Optoelectronic Devices

The oscillation onset for a pair of cross-coupled optoelectronic oscillators is investigated experimentally, analytically, and numerically. It is shown that these systems undergo a sharp onset of oscillations at a critical value of the coupling strength and that there is a scaling law that governs the relationship between the coupling strength and the amplitude of oscillations.

Conference Presentation: The scaling behavior of oscillations arising in delay-coupled optoelectronic devices, APS March Meeting 2010, Portland, OR, May 15-19, 2010 (talk). Bulletin of the American Physical Society, Vol. 55, Num. 2
Paper: L. Illing, G. Hoth, L. Shareshian, and C. May, Scaling behavior of oscillations arising in delay-coupled optoelectronic oscillators,
Phys. Rev. E, vol. 83, 026107 (2011).

Thesis: Active Modelocking an Open-Cavity Helium-Neon Laser

We discuss the physical mechanisms that lead to modelocking as well as the nonlinear phenomenon of injection locking and the role it plays in making modelocking an experimental reality. We experimentally demonstrate modelocking using a Helium-Neon laser tube with external cavity mirrors and an acoustooptic modulator.

Bifurcations and modeling of a pulsed opto-electronic delay system.

Reed College Science Research Fellowship: Dynamics of cross-coupled opto-electronic delay systems.

Chaotic dynamics and bifurcations of the Malkus Water Wheel.

Reed College Melon Foundation Opportunity Grant: Nanopore Sequencing

Thesis: Chaotic Waterwheel

Experimental implementation of the chaotic Malkus waterwheel, a mechanical device whose dynamics are modeled by the famous Lorenz equations. The observed dynamical behavior in both the chaotic and periodic operating regime is analyzed qualitatively using phase space plots and spectra.

Thesis: Monochromatic Plane Waves in a Corrugated Tube System

Experimental and theoretical study of acoustic transmission properties of a corrugated tube. As with many periodic systems, there are band gaps for the acoustic wave propagation through the corrugated tube, i.e. large ranges of incident sound frequency over which there is virtually no sound transmission.

Reed College Science Research Fellowship: Bifurcations of a pulsed opto-electronic delay system

Chaos synchronization of mutually coupled opto-electronic devices.

Chaos and bifurcations in the electronic "Rulkov" circuit.

Thesis: A Brief Study of Thermoacoustic Cooling

Experimental and theoretical study of a thermoacoustic engine, a device where sound from a speaker is used to establish and maintain a temperature difference across a stack inside a pipe.

Thesis: Feedback, Synchronization, and Communication in Chaotic Time-Delay Opto-Electronic Feedback Circuits

Feeding back an amplified output signal of a nonlinear device to itself can result in self-sustained oscillations. Here, the nonlinearity is an integrated opto-electronic mach-zehnder modulator and the oscillations can be periodic or chaotic, depending on the feedback strength. Synchronized chaotic oscillations are achieved by coupling two such devices, which then are utilized for communication.

Conference Presentation: Chaos Synchronization and Communication using Optoelecronic Time-Delay Feedback Circuits, 10th Annual Meeting of the Northwest Section of APS, Portland, OR, May 16-17, 2008 (poster).
Bulletin of the American Physical Society, Vol. 53, Num. 6, C1.00006
Paper: L. Illing, G. Hoth, L. Shareshian, and C. May, Scaling behavior of oscillations arising in delay-coupled optoelectronic oscillators,
Phys. Rev. E, vol. 83, 026107 (2011).

Thesis: Bioconvection: The Effect of Density on Wavelength

Bioconvection of Bacillus subtilis, a phenomenon where the interplay of active upward swimming of the bacteria, gravity, and fluid dynamics result in spontaneous pattern formation.