title: Modeling and experimental observation of an on-chip two-dimensional far-field interference pattern.
abstract: In this paper, we model and experimentally observe the far-field radiation produced by interfering beams propagating in two-dimensional (2D) slab waveguides. Using a transmission-line analogy, we compare the 2D propagation with standard three-dimensional (3D) far-field representations and derive the 2D conditions for using standard far-field approximations. Then we test our theoretical results by experimentally observing the 2D far-field pattern produced by a 1×3 multimode interference (MMI) coupler on a silicon nanomembrane. The MMI outputs are connected to a slab silicon waveguide, and the far field is observed at the edge of the silicon slab. This represents the observation of 2D far-field pattern produced by an array of on-chip radiators.
authors.affiliation: Department of Electrical and Computer Engineering, University of Texas at Austin, 1 University Street, Austin, Texas 78712, USA. ahoss@mail.utexas.edu
authors.forename: Amir
authors.initials: A
authors.lastname: Hosseini
authors.forename: David
authors.initials: D
authors.lastname: Kwong
authors.forename: Yang
authors.initials: Y
authors.lastname: Zhang
authors.forename: Andrea
authors.initials: A
authors.lastname: Alu
authors.forename: Ray T
authors.initials: RT
authors.lastname: Chen