Polarization Studies of 3D Photonic Crystals Using Transmission and Reflection Experiments
written by
Michael Hennessey, Dimitri Lezcano, Shabbir M. Mian, Giuseppe Carnicella, Tecla Arcidiacono, Valentina Robbiano, and Franco Cacialli
We present a polarization study of a 3D photonic crystal suitable for an undergraduate advanced physics laboratory or senior project. The crystal is made of 200-nm diameter polystyrene microspheres which forms a face-centered cubic structure and has a pseudo-bandgap in the [111] direction. We probe this bandgap using polarized light in both transmission and reflection geometries as a function of incident angle. Using the Bragg-Snell law, we derive an effective refractive index of 1.40 for each case, which agrees with the effective medium theory. Application of a new analysis based on the condition of equal heights of primary and secondary reflection peaks in s-polarization, and the collapse of p-polarized reflection for large incident angles, also gives the same effective refractive index. These experiments can be performed by students with a basic knowledge of optics such as use of polarizers, lenses, and spectrometers, and the depth of theory covered can be tailored to meet student needs.
2018 Conference on Laboratory Instruction Beyond the First Year of College
Part of the BFY Conference series
Baltimore, MD: July 25-27, 2018
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<a href="https://advlabs.aapt.org/items/detail.cfm?ID=14965">Hennessey, M, D. Lezcano, S. Mian, G. Carnicella, T. Arcidiacono, V. Robbiano, and F. Cacialli. "Polarization Studies of 3D Photonic Crystals Using Transmission and Reflection Experiments." Paper presented at the 2018 Conference on Laboratory Instruction Beyond the First Year of College, Baltimore, MD, July 25-27, 2018.</a>
M. Hennessey, D. Lezcano, S. Mian, G. Carnicella, T. Arcidiacono, V. Robbiano, and F. Cacialli, , presented at the 2018 Conference on Laboratory Instruction Beyond the First Year of College, Baltimore, MD, 2018, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14965&DocID=5025).
M. Hennessey, D. Lezcano, S. Mian, G. Carnicella, T. Arcidiacono, V. Robbiano, and F. Cacialli, Polarization Studies of 3D Photonic Crystals Using Transmission and Reflection Experiments, presented at the 2018 Conference on Laboratory Instruction Beyond the First Year of College, Baltimore, MD, 2018, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14965&DocID=5025>.
Hennessey, M., Lezcano, D., Mian, S., Carnicella, G., Arcidiacono, T., Robbiano, V., & Cacialli, F. (2018, July 25-27). Polarization Studies of 3D Photonic Crystals Using Transmission and Reflection Experiments. Paper presented at 2018 Conference on Laboratory Instruction Beyond the First Year of College, Baltimore, MD. Retrieved October 5, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14965&DocID=5025
Hennessey, M, D. Lezcano, S. Mian, G. Carnicella, T. Arcidiacono, V. Robbiano, and F. Cacialli. "Polarization Studies of 3D Photonic Crystals Using Transmission and Reflection Experiments." Paper presented at the 2018 Conference on Laboratory Instruction Beyond the First Year of College, Baltimore, MD, July 25-27, 2018. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14965&DocID=5025 (accessed 5 October 2024).
Hennessey, Michael, Dimitri Lezcano, Shabbir Mian, Giuseppe Carnicella, Tecla Arcidiacono, Valentina Robbiano, and Franco Cacialli. "Polarization Studies of 3D Photonic Crystals Using Transmission and Reflection Experiments." 2018 Conference on Laboratory Instruction Beyond the First Year of College. Baltimore, MD: 2018. of BFY Conference. 5 Oct. 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14965&DocID=5025>.
@inproceedings{
Author = "Michael Hennessey and Dimitri Lezcano and Shabbir Mian and Giuseppe Carnicella and Tecla Arcidiacono and Valentina Robbiano and Franco Cacialli",
Title = {Polarization Studies of 3D Photonic Crystals Using Transmission and Reflection Experiments},
BookTitle = {2018 Conference on Laboratory Instruction Beyond the First Year of College},
Address = {Baltimore, MD},
Series = {BFY Conference},
Month = {July 25-27},
Year = {2018}
}
%A Michael Hennessey %A Dimitri Lezcano %A Shabbir Mian %A Giuseppe Carnicella %A Tecla Arcidiacono %A Valentina Robbiano %A Franco Cacialli %T Polarization Studies of 3D Photonic Crystals Using Transmission and Reflection Experiments %S BFY Conference %D July 25-27 2018 %C Baltimore, MD %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14965&DocID=5025 %O 2018 Conference on Laboratory Instruction Beyond the First Year of College %O July 25-27 %O application/pdf
%0 Conference Proceedings %A Hennessey, Michael %A Lezcano, Dimitri %A Mian, Shabbir %A Carnicella, Giuseppe %A Arcidiacono, Tecla %A Robbiano, Valentina %A Cacialli, Franco %D July 25-27 2018 %T Polarization Studies of 3D Photonic Crystals Using Transmission and Reflection Experiments %B 2018 Conference on Laboratory Instruction Beyond the First Year of College %C Baltimore, MD %S BFY Conference %8 July 25-27 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14965&DocID=5025
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