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Sang-jin Sin – One of the best experts on this subject based on the ideXlab platform.

  • The super-potential and holomorphic properties of the MQCD
    Nuclear Physics, 1998
    Co-Authors: Sang-jin Sin

    Abstract:

    Abstract We study the holomorphic properties of the MQCD by comparing the super-potentials in MQCD and the gauge theory. First we show that the super-potential defined as an integral of three form is not appropriate for generic situation with quarks. We report a resolution of the problem which works for the brane configurations of 90 degree rotation, including the true SQCD. The new definition does not need an Auxiliary Surface and can be reduced to a contour integral for some cases. We find a relation between the new and old definitions, which is verified by explicit calculation for SU( N ), SO( N ), Sp( N ) simple groups with F of massive quarks,

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  • The super-potential and holomorphic properties of the MQCD
    Nuclear Physics B, 1998
    Co-Authors: Sang-jin Sin

    Abstract:

    We study the holomorphic properties of the MQCD by comparing the
    super-potentials in MQCD and the gauge theory. First we show that the
    super-potential defined as an integral of three form is NOT appropriate for
    generic situation with quarks. We report a resolution of the problem which
    works for the brane configurations of 90 degree rotation, including the true
    SQCD. The new definition does not need Auxiliary Surface and can be reduced to
    a contour integral for some cases. We find relation beetween the new and old
    definitions, which is verified by explicit calculation for SU(N), SO(N), Sp(N)
    simple groups with $F$ of massive quarks.Comment: 14pages, latex, typos correcte

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Jorge Angeles – One of the best experts on this subject based on the ideXlab platform.

  • the role of the orthogonal helicoid in the generation of the tooth flanks of involute gear pairs with skew axes
    Journal of Mechanisms and Robotics, 2014
    Co-Authors: Giorgio Figliolini, Hellmuth Stachel, Jorge Angeles

    Abstract:

    Camus’ concept of Auxiliary Surface (AS) is extended to the case of involute gears with skew axes. In the case at hand, we show that the AS is an orthogonal helicoid whose axis (a) lies in the cylindroid and (b) is normal to the instant screw axis of one gear with respect to its meshing counterpart; in general, the helicoid axis is skew with respect to the latter. According to the spatial version of Camus’ Theorem, any line or Surface attached to the AS, in particular any line L of AS itself, can be chosen to generate a pair of conjugate flanks with line contact. While the pair of conjugate flanks is geometrically feasible, as they always share a line of contact and the tangent plane at each point of this line, they even have the same curvature, G2-continuity, when L coincides with the instant screw axis (ISA). This means that the two Surfaces penetrate each other, at the same common line. The outcome is that the Surfaces are not realizable as tooth flanks. Nevertheless, this is a fundamental step toward the synthesis of the flanks of involute gears with skew axes. In fact, the above-mentioned interpenetration between the tooth flanks can be avoided by choosing a smooth Surface attached to the AS, instead of a line of the AS itself, which can give, in particular, the spatial version of octoidal bevel gears, when a planar Surface is chosen.

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  • The Role of the Orthogonal Helicoid in the Generation of the Tooth Flanks of Involute-Gear Pairs With Skew Axes
    Volume 5A: 38th Mechanisms and Robotics Conference, 2014
    Co-Authors: Giorgio Figliolini, Hellmuth Stachel, Jorge Angeles

    Abstract:

    Camus’ concept of Auxiliary Surface (AS) is extended to the case of involute gears with skew axes. In the case at hand, we show that the AS is an orthogonal helicoid whose axis a) lies in the cylindroid and b) is normal to the instant screw axis of one gear with respect to its meshing counterpart; in general, the helicoid axis is skew with respect to the latter. According to the spatial version of Camus’ Theorem, any line attached to the AS, in particular any generator g of AS itself, can be chosen to generate a pair of conjugate flanks with line contact.
    While the pair of conjugate flanks is geometrically feasible, as they always share a line of contact and the tangent plane at each point of this line, there are poses where the flanks even have a common Disteli axis. Then there is a G2-contact at the striction point and the two Surfaces penetrate each other.
    The outcome is that the Surfaces are not realizable as tooth flanks. Nevertheless, this is a fundamental step towards the synthesis of the flanks of involute gears with skew axes.

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J.e. Richie – One of the best experts on this subject based on the ideXlab platform.

  • Application of Spatial Bandwidth Concepts to MAS Pole Location for Dielectric Cylinders
    IEEE Transactions on Antennas and Propagation, 2011
    Co-Authors: J.e. Richie

    Abstract:

    The concept of effective spatial bandwidth (EBW) is extended from the case of an MAS solution for perfectly conducting (PEC) cylinders to dielectric cylinders. It is shown that the ideas and results for the conducting cylinder apply in a straightforward manner to the dielectric case. For the dielectric case, there are two Auxiliary Surfaces. Because the EBW calculations are independent of the scatterer material, the Auxiliary Surface for the scattered field will follow the same guidelines for both the PEC and dielectric cases. The guidelines for the second Auxiliary Surface are described and verified here. Guidelines for both a plane wave incident field and a monopole line source incident field are provided.

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  • MAS Pole Location and Effective Spatial Bandwidth of the Scattered Field
    IEEE Transactions on Antennas and Propagation, 2010
    Co-Authors: J.e. Richie

    Abstract:

    The concept of effective spatial bandwidth (EBW) is introduced for periodic domains. The EBW is applied to the incident and scattered fields along the boundary of an infinite circular cylinder. The scattered field is formulated using the method of Auxiliary sources (MAS). In MAS, monopoles on an Auxiliary Surface (AS) are used to model the scattered field. It is shown that the EBW of the incident field can provide some insight regarding the placement of poles for the MAS scattered field model. Example simulations are provided to demonstrate the usefulness of EBW with respect to monopole placement rules in MAS.

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