UTFacultiesEEMCSDisciplines & departmentsDepartment of Applied MathematicsThin diamond crystal reflects many colors of light in all directions

Thin diamond crystal reflects many colors of light in all directions

Through advanced calculations physicists and mathematicians at the University of Twente discovered that a thin, diamond-like photonic nanostructure reflects a surprisingly broad range of colors of light, from all angles. This causes the material to have great potential as a back reflector to enhance the efficiency of solar cells or tiny on-chip light sources.

The results were published on 26 April in the leading physics journal Physical Review B.

The efficiency of solar cells depends on trapping and absorbing light and can be increased by using a back reflector: a mirror behind the solar cell material that reflects light that was not absorbed and leads it back into the solar cell. The ideal mirror reflects light incident from any angle, known as omnidirectional reflectance, and for all frequencies (or colors) of light. Such omnidirectional reflectance for dielectric structures is associated with three-dimensional photonic crystal nanostructures that sustain a so-called complete photonic band gap. However, researchers always thought such structures would have a narrow frequency range of operation and their omnidirectional behavior has never been demonstrated to date.  

An interdisciplinary team of physicists and mathematicians from the University of Twente has now performed advanced calculations on a very promising material developed in the Complex Photonic Systems group. "We studied so-called inverse woodpile photonic crystals", says PhD student Devashish. "These crystals consist of regularly ordered array of pores drilled in two perpendicular directions in a wafer of dielectric such as silicon. The crystal structure is inspired by diamond gemstones."  

The researchers studied the reflectivity of the cubic diamond-like inverse woodpile crystals by numerical calculations and interpreted recent experiments. They employed the finite element method to study these crystals surrounded by free space. "We found that even very thin inverse woodpiles strongly reflect many colors of light omnidirectionally”, Devashish says. “In inverse woodpiles, the absorption of light is negligible. This makes them a great candidate as a back reflector in solar cells. We also expect these diamond-like photonic crystals may lead to on-chip lasers, invisibility cloaks and devices to confine light in extremely small volumes.”

Figure 1: A thin 3D photonic crystal with a diamond-like nanostructure is illuminated by white light from any incident direction (black arrow). Many colors are strongly reflected omnidirectionally irrespective of the incident angle (black arrow). In this example, these are the colors from orange to blue.


Figure 2: The calculated reflectivity spectra for all orientations of the incident light. Light that cannot enter the crystals is reflected, signaling that these colors are completely forbidden to exist inside the crystals, which is the signature of the photonic band gap. The researchers observe that light for a broad range of colors is always reflected for any angle of incidence and for both orientations, even for a thin crystal slab. The dark blue color represents high reflectivity that occurs in the stop band for all angles. The white color represents near 0% reflectivity. The orange dashed lines highlight the broad frequency range where light is reflected for all incident angles.

The team

The research has been performed by Devashish M.Sc., Dr. Shakeeb Hasan, Prof. Dr. Jaap van der Vegt and Prof. Dr. Willem Vos from the Complex Photonic Systems (COPS) Chair, MESA+ Institute for Nanotechnology, University of Twente, The Netherlands and Mathematics of Computational Science (MACS), MESA+ Institute for Nanotechnology, University of Twente, The Netherlands. The research project is supported by the Shell-NWO/FOM Program “Computational Sciences for Energy Research” (CSER).  

The Paper

The paper is entitled “Reflectivity calculated for a three-dimensional silicon photonic band gap crystal with finite support” and was published in Physical Review B on April 26, 2017 (Phys. Rev. B 95, 155141 (2017))

URL: http://link.aps.org/doi/10.1103/PhysRevB.95.155141

DOI: 10.1103/PhysRevB.95.155141

 

A preprint of the paper is available at http://cops.nano-cops.com/publications/reflectivity-calculated-3d-silicon-photonic-band-gap-crystal-finite-support as well as on the Cornell preprint server at http://arxiv.org/abs/1609.01112