22 citations · 84 across the 10 of their papers we have counts for
10 papers
Biorthogonality of Guided Modes in Non-Hermitian Electromagnetism
Amgad Abdrabou, M. A. Swillam, Şahin K. Özdemir +1
Biorthogonality plays a central role in the analysis of non-Hermitian photonic systems, where modal expansions generally require both right and left eigenstates. While these concep…
A Hybrid DEC-SIE Framework for Potential-Based Electromagnetic Analysis of Heterogeneous Media
Amgad Abdrabou, Luis J. Gomez
Analyzing electromagnetic fields in complex, multi-material environments presents substantial computational challenges. To address these, we propose a hybrid numerical method that…
Parametric dependence of bound states in the continuum: a general theory
Amgad Abdrabou, Lijun Yuan, Wangtao Lu +1
Photonic structures with high- resonances are essential for many practical applications, and they can be relatively easily realized by modifying ideal structures with bound stat…
Frequency perturbation theory of bound states in the continuum in a periodic waveguide
Amgad Abdrabou, Ya Yan Lu
In a lossless periodic structure, a bound state in the continuum (BIC) is characterized by a real frequency and a real Bloch wavevector for which there exist waves propagating to o…
Circularly polarized states and propagating bound states in the continuum in a periodic array of cylinders
Amgad Abdrabou, Ya Yan Lu
Bound states in the continuum (BICs) in a periodic structure sandwiched between two homogeneous media have interesting properties and useful applications in photonics. The topologi…
Complex modes in an open lossless periodic waveguide
Amgad Abdrabou, Ya Yan Lu
Guided modes of an open periodic waveguide, with a periodicity in the main propagation direction, are Bloch modes confined around the waveguide core with no radiation loss in the t…
Exceptional points of Bloch eigenmodes on a dielectric slab with a periodic array of cylinders
Amgad Abdrabou, Ya Yan Lu
Eigenvalue problems for electromagnetic resonant states on open dielectric structures are non-Hermitian and may have exceptional points (EPs) at which two or more eigenfrequencies…
Exceptional points for resonant states on parallel circular dielectric cylinders
Amgad Abdrabou, Ya Yan Lu
Exceptional points (EPs) are special parameter values of a non-Hermitian eigenvalue problem where eigenfunctions corresponding to a multiple eigenvalue coalesce. In optics, EPs are…
Indirect link between resonant and guided modes on uniform and periodic slabs
Amgad Abdrabou, Ya Yan Lu
A uniform or periodic dielectric slab can serve as an optical waveguide for which guided modes are important, and it can also be used as a diffraction structure for which resonant…
Exceptional Points of Resonant States on a Periodic Slab
Amgad Abdrabou, Ya Yan Lu
A special kind of degeneracies known as the exceptional points (EPs), for resonant states on a dielectric periodic slab, are investigated. Due to their unique properties, EPs have…