Showing papers by "Amnon Yariv published in 2001"
TL;DR: By controlling the internal loss of a ring resonator near critical coupling, this work demonstrates control of the transmitted power in a fiber that is coupled to the resonator and wavelength-selective optical amplification and oscillation.
Abstract: By controlling the internal loss of a ring resonator near critical coupling, we demonstrate control of the transmitted power in a fiber that is coupled to the resonator. We also demonstrate wavelength-selective optical amplification and oscillation.
138 citations
TL;DR: It is shown that, given appropriate structural parameters, large single-mode frequency windows with a zero-dispersion point can be achieved for the TM mode in coaxial fibers.
Abstract: Using an asymptotic formalism we developed in an earlier paper, we compare the dispersion properties of the air-core Bragg fiber with those of the coaxial Bragg fiber. In particular we are interested in the way the inner core of the coaxial fiber influence the dispersion relation. It is shown that, given appropriate structural parameters, large single-mode frequency windows with a zero-dispersion point can be achieved for the TM mode in coaxial fibers. We provide an intuitive interpretation based on perturbation analysis and the results of our asymptotic calculations are confirmed by Finite Difference Time Domain (FDTD) simulations.
62 citations
TL;DR: In this article, the main guiding mechanisms in dielectric-core photonic crystal optical waveguides are total internal reflection and distributed Bragg reflection, and the authors show that by placing a slab of semiconductor material between two photonic band gap (PBG) mirrors, they can obtain waveguide modes at frequencies out of the photonic bands gap.
Abstract: We show that the main guiding mechanisms in dielectric-core photonic crystal optical waveguides are total internal reflection and distributed Bragg reflection. We also show that by placing a slab of semiconductor material between two photonic band gap (PBG) mirrors, we can obtain waveguide modes at frequencies out of the photonic bandgap. These modes are similar to the modes of a conventional dielectric slab waveguide. Using these modes, we can obtain very good coupling between a PBG waveguide and a dielectric slab waveguide with similar slab properties.
49 citations
TL;DR: In this paper, the properties of the confined modes of a photonic band-gap (PBG) waveguide can be calculated with good accuracy by replacing it with an effective corrugated waveguide that represents only the structure in the vicinity of the middle slab.
Abstract: We show that the properties of the confined modes of a photonic band-gap (PBG) waveguide can be calculated with good accuracy by replacing it with an effective corrugated waveguide that represents only the structure in the vicinity of the middle slab. Such a replacement is helpful in the design of the PBG waveguides as well as in the understanding and analysis of the coupling of different waveguides.
46 citations
TL;DR: In this article, an add/drop filter using ion-exchanged waveguides and photowritten Bragg gratings was fabricated using an add-and-drop filter with 20 dB extinction ratios and 3 dB bandwidths of 0.4 nm (100 GHz).
Abstract: An add/drop filter is fabricated using ion-exchanged waveguides and photowritten Bragg gratings. The device exhibits 20 dB extinction ratios and 3 dB bandwidths of 0.4 nm (100 GHz).
37 citations
TL;DR: The equations describing pulse propagation in a one-dimensional optical structure described by the tight binding approximation, commonly used in solid-state physics to describe electrons levels in a periodic potential, are formulated.
Abstract: We formulate the equations describing pulse propagation in a one-dimensional optical structure described by the tight binding approximation, commonly used in solid-state physics to describe electrons levels in a periodic potential. The analysis is carried out in a way that highlights the correspondence with the analysis of pulse propagation in a conventional waveguide. Explicit expressions for the pulse in the waveguide are derived and discussed in the context of the sampling theorems of finite-energy space and time signals.
28 citations
TL;DR: The efficiency of the photorefractive effect is enhanced in a CROW, enabling quasistatic holographic grating formation using much lower intensity optical pulses.
Abstract: We propose a method of storage and reconstruction of a classical light pulse based on photorefractive holography in a coupled-resonator optical waveguide (CROW). Pulse propagation in a CROW is described in the context of the tight-binding approximation; the use of a CROW results in a large reduction of the group velocity, which is important for spatial compression of the optical pulses. Further, the efficiency of the photorefractive effect is enhanced in a CROW, enabling quasistatic holographic grating formation using much lower intensity optical pulses. We describe in detail the formation of a photorefractive index grating in a CROW via interference with a reference pulse and the subsequent holographic reconstruction of the signal pulse.
23 citations
TL;DR: In this paper, a nonperturbative analysis of certain dynamical aspects of breathers (dispersion-managed solitons) including the effects of third-order dispersion is presented.
Abstract: We present a nonperturbative analysis of certain dynamical aspects of breathers (dispersion-managed solitons) including the effects of third-order dispersion. The analysis highlights the similarities to and differences from the well-known analogous procedures for second-order dispersion. We discuss in detail the phase-space evolution of breathers in dispersion-managed systems in the presence of third-order dispersion.
18 citations
Patent•
17 Apr 2001TL;DR: In this article, a parallel analog-to-digital conversion channel can be implemented to achieve high-speed analog to digital conversion, where optical pulses at a high sampling rate are used for processing an analog signal.
Abstract: Devices and techniques for processing an analog signal by using optical pulses at a high sampling rate. Parallel analog-to-digital conversion channels can be implemented to achieve high-speed analog-to-digital conversion.
18 citations
TL;DR: The analogies between Gaussian pulse propagation and Gaussian beam diffraction are reviewed and the temporal equivalent of a spherical dielectric interface is introduced, which is used by way of example to derive design parameters used in a recent dispersion-managed soliton transmission experiment.
Abstract: We review and extend the analogies between Gaussian pulse propagation and Gaussian beam diffraction. In addition to the well-known parallels between pulse dispersion in optical fiber and cw beam diffraction in free space, we review temporal lenses as a way to describe nonlinearities in the propagation equations, and then introduce further concepts that permit the description of pulse evolution in more complicated systems. These include the temporal equivalent of a spherical dielectric interface, which is used by way of example to derive design parameters used in a recent dispersion-managed soliton transmission experiment. This formalism offers a quick, concise, and powerful approach to analyzing a variety of linear and nonlinear pulse propagation phenomena in optical fibers.
17 citations
15 May 2001
TL;DR: In this article, an add/drop filter with a two-moded section was demonstrated using buried ion-exchanged waveguides and a photowritten Bragg grating.
Abstract: An add/drop filter with a two-moded section is demonstrated using buried ion-exchanged waveguides and a photowritten Bragg grating. The device exhibits a 20 dB extinction ratio and a 3 dB bandwidth of 0.4 nm.
30 Jul 2001
TL;DR: In this paper, the authors derived an approximate expression for the radiation loss of Bragg fibers and dielectric coaxial fibers and gave the number of pairs required to achieve 0.2dB/km radiation loss.
Abstract: Using an asymptotic matrix formalism, we analyze the guided modes of Bragg fibers and the dielectric coaxial fibers. In the asymptotic limit, the Bloch theorem can be applied to describe the optical field within the cladding layers, while the core region field is described by the exact solutions of Maxwell equations. From the asymptotic analysis, we derive an approximate expression for the radiation loss of Bragg fibers and dielectric coaxial fibers and give the number of Bragg pairs required to achieve 0.2dB/km radiation loss. The dispersions of the guided modes of Bragg fibers and dielectric coaxial fibers are calculated using both the asymptotic approach and the finite difference time domain method. The results obtained from these two approaches are shown to have excellent agreement. We use asymptotic analysis to calculate the dispersion parameter D of the guided dielectric coaxial fiber modes, which is found to be much larger than that of the conventional telecom fibers.
Patent•
10 Apr 2001TL;DR: In this paper, a lens is formed by a graded aluminum alloy, which is oxidized in a lateral direction, which changes the effective shape of the device according to the grading.
Abstract: A lens is formed out of semiconductor material. The semiconductor produces light which is coupled to the lens. The lens focuses the light and also minimizes refractive reflection. The lens is formed by a graded aluminum alloy, which is oxidized in a lateral direction. The oxidation changes the effective shape of the device according to the grading.
TL;DR: In this paper, the authors extend algebraic space time analogies for the dispersive and nonlinear propagation of optical breathers to explain the similarity of evolutionary behavior between spatial and temporal phenomena even when strict algebraic translation of solutions may not be possible.
Abstract: We extend recently developed algebraic space time analogies for the dispersive and nonlinear propagation of optical breathers. Geometrical arguments can explain the similarity of evolutionary behavior between spatial and temporal phenomena even when strict algebraic translation of solutions may not be possible. This explanation offers a new set of tools for understanding and predicting the evolutionary structure of self-consistent Gaussian breathers in nonlinear optical fibers.
Patent•
28 Aug 2001TL;DR: In this article, a first illumination forms a lens structure and a second illumination is focused by that lens structure to form a final feature, which can then be removed by using holographic techniques.
Abstract: Polymer techniques are used to reduce the feature size in electrical or mechanical processes. A first embodiment uses a light sensitive polymer. A first illumination forms a lens structure. A second illumination is focused by that lens structure to form a final feature. The lens can then be removed. A second embodiment uses holographic techniques to pattern polymers and form consistent pores within the polymers.
17 Mar 2001
TL;DR: In this article, an asymptotic analysis of modal dispersion, field distribution, and propagation loss of Bragg fibers is presented, and the design considerations of the Bragg fiber are discussed.
Abstract: An asymptotic analysis is developed to calculate the modal dispersion, field distribution, and propagation loss of Bragg fibers. The design considerations of Bragg fibers are also discussed.
TL;DR: A general proof of the distortion-correction theorem is presented, of the possibility of correcting wave distortion by the technique of optical phase conjugation, valid for fully vectorial nonparaxial propagation in the presence of a tensorial refractive-index perturbation and backscattering of the incident field.
Abstract: We present a general proof of the distortion-correction theorem, that is, of the possibility of correcting wave distortion by the technique of optical phase conjugation. The proof is valid for fully vectorial nonparaxial propagation in the presence of a tensorial refractive-index perturbation and backscattering of the incident field.