1,492 research outputs found
Model for reflection and transmission matrices of nanowire end facets
Nanowires show a large potential for various electrooptical devices, such as
light emitting diodes, solar cells and nanowire lasers. We present a direct
method developed to calculate the modal reflection and transmission matrix at
the end facets of a waveguide of arbitrary cross section, resulting in a
generalized version of the Fresnel equations. The reflection can be
conveniently computed using Fast Fourier Transforms. We demonstrate that the
reflection is qualitatively described by two main parameters, the modal field
confinement and the average Fresnel reflection of the plane waves constituting
the waveguide mode.Comment: 11 pages,14 figure
Classical simulation of Quantum Entanglement using Optical Transverse Modes in Multimode Waveguides
We discuss mode-entangled states based on the optical transverse modes of the
optical field propagating in multi-mode waveguides, which are classical analogs
of the quantum entangled states. The analogs are discussed in detail, including
the violation of the Bell inequality and the correlation properties of optical
pulses' group delays. The research on these analogs may be important, for it
not only provides useful insights into fundamental features of quantum
entanglement, but also yields new insights into quantum computation and quantum
communication.Comment: RevTeX v4, 17 pages and 4 figure
Theory of disorder-induced multiple coherent scattering in photonic crystal waveguides
We introduce a theoretical formalism to describe disorder-induced extrinsic
scattering in slow-light photonic crystal waveguides. This work details and
extends the optical scattering theory used in a recent \emph{Physical Review
Letter} [M. Patterson \emph{et al.}, \emph{Phys. Rev. Lett.} \textbf{102},
103901 (2009)] to describe coherent scattering phenomena and successfully
explain complex experimental measurements. Our presented theory, that combines
Green function and coupled mode methods, allows one to self-consistently
account for arbitrary multiple scattering for the propagating electric field
and recover experimental features such as resonances near the band edge. The
technique is fully three-dimensional and can calculate the effects of disorder
on the propagating field over thousands of unit cells. As an application of
this theory, we explore various sample lengths and disordered instances, and
demonstrate the profound effect of multiple scattering in the waveguide
transmission. The spectra yield rich features associated with disorder-induced
localization and multiple scattering, which are shown to be exasperated in the
slow light propagation regime
Resonant Bend Loss in Leakage Channel Fibers
Leakage channel fibers, designed to suppress higher-order modes, demonstrate
resonant power loss at certain critical radii of curvature. Outside the
resonance, the power recovers to the levels offset by the usual mechanism of
bend-induced loss. Using C-imaging, we experimentally characterize this
anomaly and identify the corresponding physical mechanism as the radiative
decay of the fundamental mode mediated by the resonant coupling to a cladding
mode.Comment: 3 pages, 4 figures, submitted to Optics Letter
Effect of an atom on a quantum guided field in a weakly driven fiber-Bragg-grating cavity
We study the interaction of an atom with a quantum guided field in a weakly
driven fiber-Bragg-grating (FBG) cavity. We present an effective Hamiltonian
and derive the density-matrix equations for the combined atom-cavity system. We
calculate the mean photon number, the second-order photon correlation function,
and the atomic excited-state population. We show that, due to the confinement
of the guided cavity field in the fiber cross-section plane and in the space
between the FBG mirrors, the presence of the atom in the FBG cavity can
significantly affect the mean photon number and the photon statistics even
though the cavity finesse is moderate, the cavity is long, and the probe field
is weak.Comment: Accepted for Phys. Rev.
Atom trapping and guiding with a subwavelength-diameter optical fiber
We suggest using an evanescent wave around a thin fiber to trap atoms. We
show that the gradient force of a red-detuned evanescent-wave field in the
fundamental mode of a silica fiber can balance the centrifugal force when the
fiber diameter is about two times smaller than the wavelength of the light and
the component of the angular momentum of the atoms along the fiber axis is in
an appropriate range. As an example, the system should be realizable for Cesium
atoms at a temperature of less than 0.29 mK using a silica fiber with a radius
of 0.2 m and a 1.3-m-wavelength light with a power of about 27 mW.Comment: 5 pages, 5 figure
Unified theory for Goos-H\"{a}nchen and Imbert-Fedorov effects
A unified theory is advanced to describe both the lateral Goos-H\"{a}nchen
(GH) effect and the transverse Imbert-Fedorov (IF) effect, through representing
the vector angular spectrum of a 3-dimensional light beam in terms of a 2-form
angular spectrum consisting of its 2 orthogonal polarized components. From this
theory, the quantization characteristics of the GH and IF displacements are
obtained, and the Artmann formula for the GH displacement is derived. It is
found that the eigenstates of the GH displacement are the 2 orthogonal linear
polarizations in this 2-form representation, and the eigenstates of the IF
displacement are the 2 orthogonal circular polarizations. The theoretical
predictions are found to be in agreement with recent experimental results.Comment: 15 pages, 3 figure
Slow light, open cavity formation, and large longitudinal electric field on slab waveguide made of indefinite permittivity materials
The optical properties of slab waveguides made of indefinite permittivity
(\vep) materials (IEM) are considered. In this medium the transverse
permittivity is negative while the longitudinal permittivity is positive. At
any given frequency the waveguide supports an infinite number of transverse
magnetic (TM) eigenmodes. For a slab waveguide with a fixed thickness, at most
only one TM mode is forward-wave. The rest of them are backward waves which can
have very large phase index. At a critical thickness, the waveguide supports
degenerate forward- and backward-wave modes with zero group velocity. Above the
critical thickness, the waveguide supports complex-conjugate decay modes
instead of propagating modes. The presence of loss in IEMs will lift the
degeneracy, resulting in modes with finite group velocity. Feasible realization
is proposed. The performance of IEM waveguide is analyzed and possible
applications are discussed which are supported by numerical calculations. These
slab waveguides can be used to make optical delay lines in optical buffers to
slow down and trap light, to form open cavities, to generate strong
longitudinal electric fields, and as phase shifters in optical integrated
circuits.Comment: 14 figures, 12 pages in RevTex
Angular sensitivity of blowfly photoreceptors: intracellular measurements and wave-optical predictions
The angular sensitivity of blowfly photoreceptors was measured in detail at wavelengths λ = 355, 494 and 588 nm.
The measured curves often showed numerous sidebands, indicating the importance of diffraction by the facet lens.
The shape of the angular sensitivity profile is dependent on wavelength. The main peak of the angular sensitivities at the shorter wavelengths was flattened. This phenomenon as well as the overall shape of the main peak can be quantitatively described by a wave-optical theory using realistic values for the optical parameters of the lens-photoreceptor system.
At a constant response level of 6 mV (almost dark adapted), the visual acuity of the peripheral cells R1-6 is at longer wavelengths mainly diffraction limited, while at shorter wavelengths the visual acuity is limited by the waveguide properties of the rhabdomere.
Closure of the pupil narrows the angular sensitivity profile at the shorter wavelengths. This effect can be fully described by assuming that the intracellular pupil progressively absorbs light from the higher order modes.
In light-adapted cells R1-6 the visual acuity is mainly diffraction limited at all wavelengths.
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