US 12,265,285 B1
Efficient computation of spatially-discrete traveling-wave modulated structures
Anthony Grbic, Ann Arbor, MI (US); and Cody Scarborough, Ann Arbor, MI (US)
Assigned to The Regents of The University of Michigan, Ann Arbor, MI (US)
Filed by THE REGENTS OF THE UNIVERSITY OF MICHIGAN, Ann Arbor, MI (US)
Filed on Aug. 30, 2022, as Appl. No. 17/898,622.
Claims priority of provisional application 63/238,379, filed on Aug. 30, 2021.
Int. Cl. G02F 1/01 (2006.01)
CPC G02F 1/01 (2013.01) 19 Claims
OG exemplary drawing
 
1. A computational method for simulating a spatially-discrete traveling-wave modulated structure, comprising:
defining a spatially-discrete, traveling-wave modulated structure, where the spatially-discrete, traveling-wave modulated structure is divided into unit cells arranged periodically along one or more spatial dimensions, such that each unit cell exhibits a periodic time-variation of a parameter that is delayed with respect to the periodic time-variation of the parameter exhibited by adjacent cells and the parameter is an electromagnetic property of the unit cells;
applying a zero valued or non-zero valued incident wave of electromagnetic radiation onto the spatially-discrete traveling-wave modulated structure;
defining a boundary condition at edges of a given unit cell of the spatially-discrete traveling-wave modulated structure to compute the electromagnetic field within the given unit cell, where the boundary condition relates the electromagnetic field at opposing edges of the given unit cell by the phase shift of the incident wave and a frequency-harmonic dependent phase shift induced by the spatially-discrete traveling-wave modulation structure; and
computing, by a computer processor, a scattered electric field within the given cell using the boundary condition.