Physical Theory

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P.m. Johansen - One of the best experts on this subject based on the ideXlab platform.

  • Time-domain version of the Physical Theory of diffraction
    IEEE Transactions on Antennas and Propagation, 1999
    Co-Authors: P.m. Johansen
    Abstract:

    A time-domain version of the equivalent edge current (EEC) formulation of the Physical Theory of diffraction is derived. The time-domain EECs (TD-EECs) apply to the far-field analysis of diffraction by edges of perfectly conducting three dimensional (3-D) structures with planar faces illuminated by a time-domain plane wave. By adding the field predicted by the TD-EECs to the time-domain Physical optics (TD-PO) field, a significant improvement is obtained compared to what can be achieved by using TD-PO alone. The TD-EECs are expressed as the integral of the time-domain fringe wave current (the exact current minus the TD-PO current) on the canonical wedge along truncated incremental strips. Closed-form expressions for the TD-EECs are obtained in the half-plane case by analytically carrying out the integration along the truncated incremental strip directly in the time domain. In the general wedge case, closed-form expressions for the TD-EECs are obtained by transforming the corresponding frequency-domain EECs to the time-domain. The TD-EECs are tested numerically on the triangular cylinder and the results are compared with those obtained using the method of moments in combination with the inverse fast Fourier transform.

  • Uniform Physical Theory of diffraction equivalent edge currents for implementation in general computer codes
    IEEE Antennas and Propagation Society International Symposium. 1996 Digest, 1996
    Co-Authors: P.m. Johansen
    Abstract:

    New uniform closed-form expressions for Physical Theory of diffraction equivalent edge currents are derived for truncated incremental wedge strips. In contrast to previously reported expressions, the new expressions are well-behaved for all directions of incidence and observation and take a finite value for zero strip length. Consequently, the new equivalent edge currents are, to the knowledge of the author, the first that are well-suited for implementation in general computer codes.

  • Uniform Physical Theory of diffraction equivalent edge currents for truncated wedge strips
    IEEE Transactions on Antennas and Propagation, 1996
    Co-Authors: P.m. Johansen
    Abstract:

    New uniform closed-form expressions for Physical Theory of diffraction equivalent edge currents are derived for truncated incremental wedge strips. In contrast to previously reported expressions, the new expressions are well behaved for all directions of incidence and observation and take a finite value for zero strip length. This means that the expressions are well suited for implementation in general computer codes. The new expressions are expressed as the difference between two terms. The first term is obtained by integrating the exact fringe wave current on a wedge along an untruncated incremental strip extending from the leading edge of the structure under consideration. The second term is calculated from an integration of the asymptotic fringe wave (FW) current along another untruncated incremental strip extending from the trailing edge of the structure. The new expressions are tested numerically on a triangular cylinder and the results are compared with those obtained using the method of moments and the previously reported expressions.

Pyotr Ya. Ufimtsev - One of the best experts on this subject based on the ideXlab platform.

Ahmed A. Kishk - One of the best experts on this subject based on the ideXlab platform.

  • Physical Theory for Particle Swarm Optimization
    Progress in Electromagnetics Research-pier, 2020
    Co-Authors: Said M. Mikki, Ahmed A. Kishk
    Abstract:

    We propose an inter-disciplinary approach to particle swarm optimization (PSO) by establishing a molecular dynamics (MD) formulation of the algorithm, leading to a Physical Theory for the swarm environment. The Physical Theory provides new insights on the operational mechanism of the PSO method. In particular, a thermodynamic analysis, which is based on the MD formulation, is introduced to provide deeper understanding of the convergence behavior of the basic classical PSO algorithm. The thermodynamic Theory is used to propose a new acceleration technique for the PSO. This technique is applied to the problem of synthesis of linear array antennas and very good improvement in the convergence performance is observed. A macroscopic study of the PSO is conducted by formulating a diffusion model for the swarm environment. The Einstein’s diffusion equation is solved for the corresponding probability density function (pdf) of the particles trajectory. The diffusion model for the classical PSO is used, in conjunction with Schrodinger’s equation for the quantum PSO, to propose a generalized version of the PSO algorithm based on the Theory of Markov chains. This unifies the two versions of the PSO, classical and quantum, by eliminating the velocity and introducing position-only update equations based on the probability law of the method.

  • Molecular dynamics formulation of the particle swarm optimization method
    2007 IEEE Antennas and Propagation Society International Symposium, 2007
    Co-Authors: Said M. Mikki, Ahmed A. Kishk
    Abstract:

    We propose an inter-disciplinary approach to particle swarm optimization (PSO) by establishing a molecular dynamics (MD) formulation of the algorithm, leading to a Physical Theory for the swarm environment. The Physical Theory provides new insights on the operational mechanism of the PSO method. In particular, a thermodynamic analysis, which is based on the MD formulation, is introduced to provide deeper understanding of the convergence behavior of the basic classical PSO algorithm. The thermodynamic Theory is used to propose a new acceleration technique for the PSO. This technique is applied to the problem of synthesis of linear array antennas and very good improvement in the convergence performance is observed.

Gokhan Apaydin - One of the best experts on this subject based on the ideXlab platform.

Levent Sevgi - One of the best experts on this subject based on the ideXlab platform.