Topology-optimized broadband surface relief transmission grating

Jacob Andkjær, Christian P. Ryder, Peter C. Nielsen, Thomas Rasmussen, Kristian Buchwald, Ole Sigmund

Research output: Contribution to journalConference articleResearchpeer-review


We propose a design methodology for systematic design of surface relief transmission gratings with optimized diffraction efficiency. The methodology is based on a gradient-based topology optimization formulation along with 2D frequency domain finite element simulations for TE and TM polarized plane waves. The goal of the optimization is to find a grating design that maximizes diffraction efficiency for the -1st transmission order when illuminated by unpolarized plane waves. Results indicate that a surface relief transmission grating can be designed with a diffraction efficiency of more than 40% in a broadband range going from the ultraviolet region, through the visible region and into the near-infrared region.
Original languageEnglish
Article number898006
JournalProceedings of SPIE, the International Society for Optical Engineering
Number of pages10
Publication statusPublished - 2014
EventPhysics and Simulation of Optoelectronic Devices XXII - San Francisco, CA, United States
Duration: 3 Feb 20146 Feb 2014
Conference number: 22


ConferencePhysics and Simulation of Optoelectronic Devices XXII
Country/TerritoryUnited States
CitySan Francisco, CA


  • Transmission grating
  • Topology optimization
  • Diffraction efficiency
  • Broadband spectroscopy


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