Showing papers by "Amnon Yariv published in 2002"
TL;DR: In this paper, the coupling of optical waveguides to ring resonators holds the promise of a new generation of switches (modulators) which employ orders of magnitude smaller switching (modulation) voltages (or control intensities).
Abstract: The coupling of optical waveguides to ring resonators holds the promise of a new generation of switches (modulators) which employ orders of magnitude smaller switching (modulation) voltages (or control intensities). This requires a means for voltage (or intensity) control of the coupling between the waveguide and the resonator. Schemes for achieving such control are discussed.
621 citations
TL;DR: In this paper, the properties of the recently introduced family of coupled resonator optical waveguides (CROWs) are reviewed, particularly with reference to CROWs designed as planar waveguide in two-dimensional photonic crystal slabs to enhance nonlinear interactions and develop novel all-optical information processing devices.
Abstract: Properties of the recently introduced family of coupled resonator optical waveguides (CROWs) are reviewed, particularly with reference to CROWs designed as planar waveguides in two-dimensional photonic crystal slabs to enhance nonlinear interactions and develop novel all-optical information processing devices. Topics covered include: pulse propagation both in the nondispersive approximation and to all orders of dispersion, and the coupled mode theory of nonlinear optics with pulses in CROWs and its applications to second-harmonic generation and wave coupling via field-induced refractive-index gratings. We also review recent experimental progress in the fabrication and characterization of CROWs, and applications of the CROW concept to fiber gratings and microwave waveguides.
145 citations
TL;DR: In this paper, a matrix theory that applies to any cylindrically symmetric fiber surrounded with Bragg cladding was developed, which includes both the Bragg fibers and the recently proposed dielectric coaxial fibers.
Abstract: We developed a matrix theory that applies to any cylindrically symmetric fiber surrounded with Bragg cladding, which includes both the Bragg fibers and the recently proposed dielectric coaxial fibers. In this formalism, an arbitrary number of inner dielectric layers are treated exactly and the outside cladding structure is approximated in the asymptotic limit. An estimate of the radiation loss of such fibers is given. We compare the asymptotic results with those obtained from the finite difference time domain calculations and find excellent agreement between the two approaches.
93 citations
TL;DR: The waveguide dispersion for the m = 1 mode in an air-core Bragg fiber is studied and it is shown it is possible to achieve very large negative dispersion values with significantly reduced absorption loss and non-linear effects.
Abstract: In a previous paper we developed a matrix theory that applies to any cylindrically symmetric fiber surrounded by Bragg cladding. Using this formalism, along with Finite Difference Time Domain (FDTD) simulations, we study the waveguide dispersion for the m = 1 mode in an air-core Bragg fiber and showed it is possible to achieve very large negative dispersion values (~ -20,000 ps/(nm.km)) with significantly reduced absorption loss and non-linear effects.
68 citations
TL;DR: This formalism explicitly accounts for temporal dependencies in the waveguide field distributions and in their representations in terms of slowly modulated Bloch wave functions, in contrast with the equations obtained previously for cw second-harmonic generation.
Abstract: We describe the generation and propagation of pulses in a coupled-resonator optical waveguide driven by a nonlinear polarization using a method closely related to the coupled-mode theory. The specific example we consider is that of second-harmonic generation. This formalism explicitly accounts for temporal dependencies in the waveguide field distributions and in their representations in terms of slowly modulated Bloch wave functions, in contrast with the equations obtained previously for cw second-harmonic generation.
34 citations
TL;DR: In this paper, a new design approach for broad-band polarization-mode dispersion (PMD) compensation filters is described, and an efficient algorithm for minimization of the maximum differential group delay within a given frequency band is described.
Abstract: We describe a new design approach for broad-band polarization-mode dispersion (PMD) compensation filters. An efficient algorithm for minimization of the maximum differential group delay within a given frequency band is described.
34 citations
TL;DR: It is found that retaining the complete form of the dispersion relationship in the tight-binding approximation does in fact lead to a closed form analytical solution, clearly highlighting the role of the various phenomenological factors.
Abstract: In studying the propagation of optical pulses beyond the linear dispersion approximation, the conventional term-by-term Taylor series expansion of the waveguide dispersion relationship fails when applied to the recently introduced family of coupled resonator optical waveguides (CROWs). We have found the surprising result that retaining the complete form of the dispersion relationship in the tight-binding approximation does in fact lead to a closed form analytical solution, clearly highlighting the role of the various phenomenological factors. Such an analysis is usually not possible in the majority of waveguiding structures and is especially useful in the design of photonic crystal CROWs and deep superstructure Bragg gratings.
31 citations
TL;DR: There exists a stationary spatial distribution of the field whose envelope does not change with time-a super-resonant mode under certain conditions, and the analysis does not indicate the existence of traveling hyperbolic-secant solitons of the Schrödinger type.
Abstract: We investigate the effects of the optical Kerr nonlinearity in a coupled-resonator optical waveguide (CROW). Under certain conditions, there exists a stationary spatial distribution of the field whose envelope does not change with time-a super-resonant mode. The analysis does not indicate the existence of traveling hyperbolic-secant solitons of the Schrodinger type.
30 citations
TL;DR: It is shown that the loss/coupling ratio of the ring-fiber system can be changed and thus that the transmission properties of the fiber can be controlled.
Abstract: We introduce a fiber ring optical resonator based on adiabatic fused-fiber grating couplers. The coupling of a through fiber to the resonator is controlled by the strength of the fiber Bragg gratings. By using two of these couplers and incorporating erbium-doped (ED) fiber in the ring, we control the internal loss of the ring by pumping the ED fiber. The transmission spectra of the through port and the drop port of a four-port configuration, a ring coupled to two waveguides, are measured. We show that the loss/coupling ratio of the ring-fiber system can be changed and thus that the transmission properties of the fiber can be controlled.
30 citations
TL;DR: A formalism is presented for optical waveguiding by means of Bragg reflection that provides analytic expressions for field modal profiles, dispersion, and attenuation.
Abstract: A formalism is presented for optical waveguiding by means of Bragg reflection. The theory provides analytic expressions for field modal profiles, dispersion, and attenuation. Waveguiding in line defects of photonic bandgap crystals, a special case of the theory, is used as an example. Quantized allowed widths of the guiding channel are predicted.
29 citations
TL;DR: Developing a complete vectorial description of optical nonparaxial propagation of highly focused beams in Kerr media, this work disclose a family of new phenomena that appear to emerge as a consequence of the mutual coupling of all three components of the optical field.
Abstract: Developing a complete vectorial description of optical nonparaxial propagation of highly focused beams in Kerr media, we disclose a family of new phenomena. These phenomena appear to emerge as a consequence of the mutual coupling of all three components of the optical field. This circumstance, which is intrinsic to the very nature of Kerr propagation, was previously discarded on the basis of the conjecture that a reduced system is possible in which only one transverse field component interacts with the longitudinal component.
TL;DR: Working in this framework, limits of the physical parameters and approximations to the exact formulation that highlight the conditions under which pulse distortion can be minimized are discussed.
Abstract: The propagation of an optical pulse in a coupled-resonator optical waveguide may be calculated nonperturbatively to all orders of dispersion, in the conventional tight-binding approximation, even though the dispersion relationship is nonlinear. Working in this framework, we discuss limits of the physical parameters and approximations to the exact formulation that highlight the conditions under which pulse distortion can be minimized. The results are fundamental to the design of coupled-resonator optical waveguides and are also relevant to other applications of the tight-binding method.
TL;DR: It is demonstrated that both the Bragg reflection and the total internal reflection play important roles in providing confinement and determining the dispersion characteristics of the coaxial fiber modes.
Abstract: Using an asymptotic analysis, we analytically calculate the dispersion and the field distribution of guided modes in an all-dielectric coaxial fiber. We compare the analytical results with those obtained from numerical calculations and find excellent agreement between them. We demonstrate that both the Bragg reflection and the total internal reflection play important roles in providing confinement and determining the dispersion characteristics of the coaxial fiber modes.
TL;DR: In this paper, the authors present a formalism for optical waveguiding in two-dimensional periodic structures by means of Bragg reflection, which provides analytic expressions for the field modal profiles, dispersion, and attenuation or gain in the waveguide.
Abstract: We present a formalism for optical waveguiding in two-dimensional periodic structures by means of Bragg reflection. The theory provides analytic expressions for the field modal profiles, dispersion, and attenuation or gain in the waveguide. Line defects in two-dimensional photonic crystal slabs are used as the principal example.
01 Dec 2002
TL;DR: In this paper, the authors demonstrate the simultaneous compensation of polarization mode dispersion (PMD) in 5 channels by minimizing the maximum differential group delay (DGD) across the band.
Abstract: We describe a novel approach for synthesizing a desired response using an optical lattice equalizer. We demonstrate the simultaneous compensation of polarization mode dispersion (PMD) in 5 channels by minimizing the maximum differential group delay (DGD) across the band. The same approach can be applied to equalize other transmission parameters of the communication channel such as the chromatic dispersion (CD) and the gain.