Abstract: At least one diffraction element is used to diffract light of multiple wavelengths into different wavelength components. Instead of moving the diffraction element as in certain prior filters, light from the at least one element is reflected back towards the at least one element so that light is diffracted at least twice by the at least one element. The reflection is such that at least one selected wavelength component of said wavelength components will pass from an input port to an output port or to another device.

Abstract: A series of substituted aryl sulfone derivatives represented by Formula I, or pharmaceutically acceptable salts thereof. Pharmaceutical compositions comprise an effective amount of the instant compounds, either alone, or in combination with one or more other therapeutically active compounds, and a pharmaceutically acceptable carrier. Methods of treating conditions associated with, or caused by, calcium channel activity, including, for example, acute pain, chronic pain, visceral pain, inflammatory pain, neuropathic pain, urinary incontinence, itchiness, allergic dermatitis, epilepsy, diabetic neuropathy, irritable bowel syndrome, depression, anxiety, multiple sclerosis, sleep disorder, bipolar disorder and stroke, comprise administering an effective amount of the present compounds, either alone, or in combination with one or more other therapeutically active compounds.

Abstract: In one embodiment, data from a first device is received. A second device is identified. A data flow is between the first device and the second device. A third device is identified as a function of at least one label of the data flow.

Abstract: Substituted piperidine compounds represented by Formula I, or pharmaceutically acceptable salts thereof. Pharmaceutical compositions comprise an effective amount of the instant compounds, either alone, or in combination with one or more other therapeutically active compounds, and a pharmaceutically acceptable carrier. Methods of treating conditions associated with, or caused by, sodium channel activity, including, for example, acute pain, chronic pain, visceral pain, inflammatory pain, neuropathic pain, urinary incontinence, itchiness, allergic dermatitis, epilepsy, irritable bowel syndrome, depression, anxiety, multiple sclerosis, and bipolar disorder, comprise administering an effective amount of the present compounds, either alone, or in combination with one or more other therapeutically active compounds.

Abstract: A method for generating a traffic matrix is provided that includes receiving a first set of data from a first provider edge element and a second set of data from a second provider edge element, the first and second sets of data including border gateway protocol (BGP) next hop information. The first and second sets of data may then be aggregated. Information that is associated with one or more customer network elements is then filtered out in order to produce a traffic matrix.

Abstract: At least one diffraction element is used to diffract light of multiple wavelengths into different wavelength components. Instead of moving the diffraction element as in certain prior filters, light from the at least one element is reflected back towards the at least one element so that light is diffracted at least twice by the at least one element. The reflection is such that at least one selected wavelength component of said wavelength components will pass from an input port to an output port or to another device.

Abstract: A 2×2 opto-mechanical switch is disclosed. A first embodiment of the present invention utilizes a transmitting compact parallel prism and four or two pieces of the 45-degree prism to increase the beam separation. The compact parallel prism keeps a much smaller load to the relay arm. This makes the current invention less sensitive to the ambient shock and vibration. A second embodiment of the present invention utilizes a similar transmitting compact parallel prism and two wedge prisms which has similar advantages. The compact prism applies a small loading force to the relay arm. Both of these embodiments also feature superior thermal and mechanical stability. An opto-mechanical switch in accordance with the present invention utilizes a transmitting design and thus is more stable to ambient thermal or mechanical change. The embodiments of the present invention also feature much better repeatability than the conventional 2×2 optical switches.

Abstract: A 2×2 opto-mechanical switch is disclosed. A first embodiment of the present invention utilizes a transmitting compact parallel prism and four or two pieces of the 45-degree prism to increase the beam separation. The compact parallel prism keeps a much smaller load to the relay arm. This makes the current invention less sensitive to the ambient shock and vibration. A second embodiment of the present invention utilizes a similar transmitting compact parallel prism and two wedge prisms which has similar advantages. The compact prism applies a small loading force to the relay arm. Both of these embodiments also feature superior thermal and mechanical stability. An opto-mechanical switch in accordance with the present invention utilizes a transmitting design and thus is more stable to ambient thermal or mechanical change. The embodiments of the present invention also feature much better repeatability than the conventional 2×2 optical switches.

Abstract: A system and method for a 1xN fiber optical switch is disclosed. The switch comprises (1) a pair of vertically oriented wedge prisms and (2) a collimator. The collimator comprises a four fiber ferrule and a lens. When no wedge prisms are inserted into the optical path, the signal is switched to port 1. When the first prism is inserted, the signal is switched to port 2. When the second prism is inserted (first prism not in), the signal is switched to port 3 which is in a vertical line. While both prisms are inserted into the optical path, the signal is switched to the diagonal port 4. Accordingly, a 1xN switch is provided that is more compact than a conventional 1xN switch. The 1xN fiber optical switch in accordance with the present invention have advantages over conventional opto-mechanical switches. The inventive 1xN switch is much smaller in size because all ports are held in one ferrule and only one lens is utilized.

Abstract: Methods and apparatus to construct finite fields over which efficient elliptic curve cryptosystems can be set up. Given a security parameter k, the said methods and apparatus consist of devices for carrying out operations in a small k0-bit field k0 and methods to successively build extension fields K1; K2, . . . , Kt, where the extension K1/K0 has degree 2 or 3 and the other extensions Ki/KI−1, are quadratic, Kt is the final field over which elliptic curves are defined, and Kt has size ko2t or 3k02t−1 just exceeding the said security parameter k.

Abstract: Two optical input channels carry two input optical signals in orthogonal polarization states while located at different radial distances relative to a GRIN lens, so that the two input signals exit the lens at different angles. The two signals exiting the lens pass through an optical member having transverse optical axes where the member has different indices of refraction along the two axes. The member passes and combines the two input optical signals into one signal plus a single output optical channel.

Abstract: An optical circulator for transmitting light along a first optical path from a first optical port to a second optical port and along a second optical path from the second optical port to a third optical port, an optical interface in the first and second optical paths that passes the first beam but deflects the second beam to a highly reflective surface, wherein the plane of the highly reflective surface is at an angle to the optical interface such that the second beam is deflected from the highly reflective surface to the third port, and wherein the first port and the third port can be configured to utilize the same GRIN lens.

Abstract: Two optical input channels carry two input optical signals in orthogonal polarization states while located at different radial distances relative to a GRIN lens, so that the two input signals exit the lens at different angles. The two signals exiting the lens pass through an optical member having transverse optical axes where the member has different indices of refraction along the two axes. The member passes and combines the two input optical signals into one signal plus a single output optical channel.

Abstract: The present invention provides an inexpensive one-step method for preparing an aromatic carboxamide, such as a phenyl substituted carboxamide) by reacting an aromatic amine (e.g. a phenylamine) and a carboxylic acid (e.g. an alkanoic acid or ester thereof) in the presence of a boron containing compound (e.g. boronic acid or boric acid) and, optionally, a chelating agent (e.g. a 2-pyridinylamine).

Abstract: In order to tune the frequencies of radiation sources, a frequency locker is provided having equally spaced periodic frequencies with a spectral range substantially equal to the frequency spacing of a plurality of radiation sources with equally spaced apart frequencies. The periodic frequencies of the locker are slightly offset from those of the radiation sources. Radiation from each of the sources is passed through the locker and the radiation passed by the locker is detected and used to adjust the frequencies of the sources in order to tune the sources. The frequency locker includes an etalon with dimensions accurate to 0.5 microns or better. The dimension of the etalon may be controlled by controlling the thickness of spacers for maintaining vacuum or air gaps where the dimensions may be altered by thin film deposition and etching techniques. The optical path length of the etalon may also be changed by altering the angle of incidence of an incoming beam with the reflective surfaces of the etalon.