Gratings with preselected Plane Wave Propagation Directions
Abstract
We propose to use a generalized Poisson summation formula derived by Bochner to analyze the scattering from non periodic gratings. The work will focus on determining planar grating geometries that produce desired scattered electromagnetic fields when the illuminating fields are known. To demonstrate the viability of the approach, we have included a detailed description of Bochner’s formula and demonstrated how it correctly handles both non degenerate and degenerate grating problems. The explicit nature of the formula suggest the possibility of creating non uniform gratings with unusual features and of using perturbation theory to obtain closed form expressions that reveal the effect of non uniformity. Both near zone and far zone sources will be considered using both standard plane wave expansions and more advanced beam expansions. Also, the generalized Poisson summation formula can possibly be incorporated into integral equation methods that involve the Ewald transform to take into account the mutual coupling between grating elements.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jan 14, 2022
- Source ID
- FA95501910076
Entities
People
- Thorkild B. Hansen
Organizations
- Air Force Office of Scientific Research
- United States Air Force