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Lawrence, Mark

Publications and source records attributed to Lawrence, Mark.

High quality factor non-uniform metasurfaces

High quality factor electromagnetic metasurfaces are provided. The metasurface is configured to have in plane guided-mode resonances (e.g., corresponding to waveguide modes or the like). Coupling features are included in the metasurface that are configured to couple free-space radiation to the guided mode resonances. The resulting structures have a high-Q response to free-space radiation and can be used for various applications, such as beam splitting, beam steering, and beam focusing or defocusing.

71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSIC↗

Use of adjoint methods in the probabilistic finite element approach to fracture mechanics

The adjoint method approach to probabilistic finite element methods (PFEM) is presented. When the number of objective functions is small compared to the number of random variables, the adjoint method is far superior to the direct method in evaluating the objective function derivatives with respect to the random variables. The PFEM is extended to probabilistic fracture mechanics (PFM) using an element which has the near crack-tip singular strain field embedded. Since only two objective functions (i.e., mode I and II stress intensity factors) are needed for PFM, the adjoint method is well suited.

Liu, Wing Kam↗