Co-existence of Extended and Localized States in Thue-Morse Array of Optical Cavities

Brock Hinton

Department

Physics

Major

Physics and Applied Mathematics

Research Advisor

Yamilov, Alexey

Advisor's Department

Physics

Funding Source

Missouri S& T Opportunities for Undergraduate Research Experiences (OURE) Program; National Science Foundation (NSF)

Abstract

Thue-Morse sequence is a prime example of deterministic aperiodic systems with singular-continuous structure spectra. We report on a study of optical properties of a two-dimensional Thue-Morse-based array of micro-cavities. Under realistic conditions, tight-binding description is employed to investigate optical spectra of the system and spatial extent of its eigenstates. We observe coexistence of localized and delocalized states in narrow spectral regions and provide an explanation for this phenomenon.

Biography

Brock is a Junior at Missouri S& T, and is majoring in both Physics and Applied Mathematics. He has been working with the METIS research group, which is advised by Dr. Alexey Yamilov, since the beginning of spring semester 2012. His role in the research group has been to simulate the optical systems described above using MatLab programming. After obtaining his bachelor's degree, Brock plans to pursue a higher education in some field of medicine.

Research Category

Sciences

Presentation Type

Oral Presentation

Document Type

Presentation

Location

Upper Atrium/Hallway

Presentation Date

03 Apr 2013, 9:00 am - 11:45 am

Comments

Joint project with Timofey Golubev

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Apr 3rd, 9:00 AM Apr 3rd, 11:45 AM

Co-existence of Extended and Localized States in Thue-Morse Array of Optical Cavities

Upper Atrium/Hallway

Thue-Morse sequence is a prime example of deterministic aperiodic systems with singular-continuous structure spectra. We report on a study of optical properties of a two-dimensional Thue-Morse-based array of micro-cavities. Under realistic conditions, tight-binding description is employed to investigate optical spectra of the system and spatial extent of its eigenstates. We observe coexistence of localized and delocalized states in narrow spectral regions and provide an explanation for this phenomenon.