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A novel device, formed by a widely spaced periodic array of defects in a photonic bandgap crystal, is studied with the goal of designing a waveguide with a prescribed narrow bandwidth. Tunneling of radiation between the defect sites allows wave propagation along the line of the defects. An analytical study based on the weakly coupled cavity model is… (More)

A novel algorithm for fast computation of tomographic image projections is presented. The method comprises a decomposition of an image into subimages followed by an aggregation of projections computed for the subimages. The multilevel domain decomposition algorithm is formulated as a recursive procedure. The computational cost of the proposed algorithm is… (More)

- Amir Boag, Vitaliy Lomakin, Eric Michielssen
- 2006

—A novel algorithm to efficiently compute transient wave fields produced by known three-dimensional source constellations is proposed. The algorithm uses domain decomposition concepts and comprises two steps to be repeated for each subdomain considered. In the first step, delay-and amplitude compensated fields, produced by sources residing inside each… (More)

Photonic crystal microcavities, formed by local defects within an otherwise perfectly periodic structure, can be used as narrowband optical resonators and filters. The coupled-cavity waveguide (CCW) is a linear array of equally spaced identical microcavities. Tunneling of light between microcavities forms a guiding effect, with a central frequency and… (More)

We study wave propagation in a rotating slow-light structure with mode degeneracy. The rotation, in conjunction with the mode degeneracy, effectively induces superstructure that significantly modifies the structure's dispersion relation. It is shown that a rotation-dependent stop band is formed in the center of the slow-light waveguide transmission curve. A… (More)

- Ben Z Steinberg, Amir Boag
- 2006

A manifestation of the Sagnac effect in a rotating photonic crystal that contains a microcavity with degenerate modes is explored. It is shown that generally rotation can cause the resonance frequency to split into M different frequencies, where M is the order of the stationary-system mode degeneracy. The results are derived using a new rotation-induced… (More)

A novel algorithm to rapidly compute transient wave fields radiated by three-dimensional temporally band-limited source constellations is proposed. Just like its two-level predecessor, the Multilevel Cartesian Non-uniform Grid Time Domain (ML_CNGTD) algorithm leverages the observation that transient wave fields generated by temporally band-limited and… (More)

- Shaojing Li, Ruinan Chang, Amir Boag, Vitaliy Lomakin
- 2012

A survey of electromagnetic integral-equation solvers, implemented on graphics processing units (GPUs), is presented. Several key points for effi cient GPU implementations of integral-equation solvers are outlined. Three spatial-interpolation-based algorithms, including the Nonuniform-Grid Interpolation Method (NGIM), the box Adaptive-Integral Method… (More)

- Christian Parrot, Daniel Millot, Christine Letrou, Amir Boag
- 2010

— The MultiLevel fast Physical Optics (MLPO) algorithm attains a computational complexity comparable to that of the Fast Fourier Transform (FFT) based techniques by using hierarchical domain decomposition and phase compensated interpolation approach. In this communication we present an optimized distributed memory algorithm, obtained by partitioning not… (More)

We derive an exact spectral representation for the Green's function of Maxwell equations in a two-dimensional homogeneous and rotating environment. The formulation is developed in the medium (noninertial) rest frame, and it represents the response to a point source, where both the source and observation points rotate together with the medium. The closed… (More)