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Periodic Transmission Lines

Project Full Title:

Engineering transmission bandgaps in microwave microstriplines

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Project Description:

This interdisciplinary project will incorporate the disciplines of Physics and Engineering . However the project is specifically housed within the Hope College Department of Physics.

We are exploring the use of periodic microwave transmission lines as a hands-on approach to understanding the band theory of solids. Solid state physics theory traditionally describes electron conduction through solids by solving the Schroedinger equation with a periodic potential. This abstract approach usually leaves the student and the expert alike without an intuitive grasp of the complex structure of forbidden energy bands. Truly crossing the boundary between physics and engineering, we will use periodic transmission lines excited with microwave frequency plane waves to manipulate simulated crystals. The output of this work will be an innovative advanced lab that adds an experimental component to learning the band theory of solids. We will build on results from the previous two years with the out-of-band dispersion (C. Isaac Angert and S.K. Remillard, "Dispersion in One-Dimensional Photonic Band Gap Periodic Transmission Lines", Microwave and Optical Technology Letters, April, 2009) and study the in-band dispersion in the search of a negative index of refraction. In the process you will learn about, design and construct microwave transmission lines. You will learn to write your own computer program to analyze the results. Previous compiled programming experience is a plus. You will learn good marketable skills such as microwave test and measurement as well as microelectronic wire bonding. This research will include some classroom instruction on the research topic along with required group meetings. Hope students are expected to start working before the summer, and to continue into next year. Non-Hope applicants are welcome to apply! A 42 hour training course (PHYS 495, Microwave Engineering and Device Physics) will be given during the week prior to the start date and all accepted applicants are strongly encouraged to participate. Contact Prof. Remillard for details. Must have had a first course in electromagnetism. Modern Physics, PHYS 270, is highly recommended.

C. Isaac Angert* and S.K. Remillard, "Dispersion in One-Dimensional Photonic Band Gap Periodic Transmission Lines," Microwave and Optical Technology Letters, 51, no. 4, 1010-1013 (2009).

K.R. McLellan*, C.I. Angert*, and S.K. Remillard, "Experimental Observation and Control of Wave Dispersion", AAPT Advanced Labs Topical Conference, Ann Arbor, MI, July 23-25, 2009.

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