Expressions are derived for diffraction by the triangular Ising antiferromagnet, a disordered lattice system consisting of two kinds of scatterer and exhibiting geometric frustration. Analysis of the expressions shows characteristics of the diffraction patterns, including the presence of Bragg and diffuse diffraction, superlattice reflections, and their behavior with temperature. These characteristics are illustrated by numerical simulations. The results have application to diffraction imaging of disordered systems.
© 2014 Optical Society of America
Diffraction and Gratings
Original Manuscript: January 23, 2014
Revised Manuscript: April 2, 2014
Manuscript Accepted: April 7, 2014
Published: June 10, 2014
Chunhong Yoon and Rick P. Millane, "Diffraction by a frustrated system: the triangular Ising antiferromagnet," J. Opt. Soc. Am. A 31, 1416-1426 (2014)