The measured equation of invariance and its application to transmission line modelling

The Measured Equation of Invariance (MEI) is a geometry-dependent Finite Difference equation that can be used to terminate a mesh extremely close to the object of interest. The mesh can be terminated much closer than what absorbing boundary conditions would allow, but still keeping the locality of the equations. In this paper, this new concept is applied to the numerical simulation of transmission lines and their discontinuities.Peer ReviewedPostprint (published version

Application of the measured equation of invariance to radiation and scattering by flat surfaces

Because on flat surfaces the electric currents are confined to two dimensions, a simple vector potential formulation can be used. The problem of radiation and scattering by rectangular strip dipoles is solved, including the transversal variation of the current across the dipole width. Also of interest are the currents induced on antennas with step variations in width, and with bends and T-junctions.Peer ReviewedPostprint (published version

The measured equation of invariance: a new concept in field computation

Computations of electromagnetic fields are based either on differential equations or on integral equations. The differential equation approach using finite difference or finite element methods results in sparse matrices, which is an advantage, but has to cover large volumes, which is a disadvantage. The integral equation approach using the method of moments (MOM) limits the mesh to the surface of the object, which is an advantage, but results in full matrices, which is a disadvantage. It is noted that the ideal case would be to reduce the finite difference type equations close to the object surface and still preserve the sparsity of the matrices. The measured equation of invariance is a new concept in field computation capable of approaching this ideal situation. The mathematics and reasonings to reach a novel computational method based on this concept are presented. It is shown that the method is robust for both convex and concave objects, is much faster than the MOM, and uses a fraction of the memory.Peer ReviewedPostprint (published version

Measured equation of invariance: a new concept in field computations

Numerical computations of frequency domain field problems or elliptical partial differential equations may be based on differential equations or integral equations. The new concept of field computation presented in this paper is based on the postulate of the existence of linear equations of the discretized nodal values of the fields, different from the conventional equations, but leading to the same solutions. The postulated equations are local and invariant to excitation. It is shown how the equations can be determined by a sequence ofPeer ReviewedPostprint (published version

Application of the measured equation of invariance to transmission.

The MEI (measured equation of invariance) method can easily be applied to static analyses of uniform transmission lines, such as single and coupled microstrip lines. Laplace's equation is solved for the static electric potential, and the total charges on the metal structures are found. Solving the problem with the correct permittivity values for the dielectrics yields the capacitance of the structures, while solving the problem with all permittivities equal to the free-space value yields the inductances. The quasi-static impedance values may then be obtained. Planar microstrip-type structures, where currents are confined to two dimensions are also considered. Results are presented for cases where no dielectric is present. This simplifies the Green's function calculation for the present purposes, but the method may be applied to more general cases.Peer ReviewedPostprint (published version

Reconstruction of Objects by Direct Demodulation

High resolution reconstruction of complicated objects from incomplete and noisy data can be achieved by solving modulation equations iteratively under physical constraints. This direct demodulation method is a powerful technique for dealing with inverse problem in general case. Spectral and image restorations and computerized tomography are only particular cases of general demodulation. It is possible to reconstruct an object in higher dimensional space from observations by a simple lower dimensional instrument through direct demodulation. Our simulations show that wide field and high resolution images of space hard X-rays and soft gamma rays can be obtained by a collimated non-position-sensitive detector without coded aperture masks.Comment: 11 pages, 6 figure

Wave Function Based Characteristics of Hybrid Mesons

We propose some extensions of the quark potential model to hybrids, fit them to the lattice data and use them for the purpose of calculating the masses, root mean square radii and wave functions at the origin of the conventional and hybrid charmonium mesons. We treat the ground and excited gluonic field between a quark and an antiquark as in the Born-Oppenheimer expansion, and use the shooting method to numerically solve the required Schr$\ddot{\textrm{o}}$dinger equation for the radial wave functions; from these wave functions we calculate the mesonic properties. For masses we also check through a Crank Nichelson discretization. For hybrid charmonium mesons, we consider the exotic quantum number states with $J^{PC} = 0^{+ -}, 1^{- +}$ and $2^{+ -}$. We also compare our results with the experimentally observed masses and theoretically predicted results of the other models. Our results have implications for scalar form factors, energy shifts, magnetic polarizabilities, decay constants, decay widths and differential cross sections of conventional and hybrid mesons.Comment: 13 pages, 6 figures, Erratum is submitted to EPJ

Development, characterization, and in vivo validation of a humanized C6 monoclonal antibody that inhibits the membrane attack complex

Damage and disease of nerves activates the complement system. We demonstrated that activation of the terminal pathway of the complement system leads to the formation of the membrane attack complex (MAC) and delays regeneration in the peripheral nervous system. Animals deficient in the complement component C6 showed improved recovery after neuronal trauma. Thus, inhibitors of the MAC might be of therapeutic use in neurological disease. Here, we describe the development, structure, mode of action, and properties of a novel therapeutic monoclonal antibody, CP010, against C6 that prevents formation of the MAC in vivo. The monoclonal antibody is humanized and specific for C6 and binds to an epitope in the FIM1-2 domain of human and primate C6 with sub-nanomolar affinity. Using biophysical and structural studies, we show that the anti-C6 antibody prevents the interaction between C6 and C5/C5b by blocking the C6 FIM1-2:C5 C345c axis. Systemic administration of the anti-C6 mAb caused complete depletion of free C6 in circulation in transgenic rats expressing human C6 and thereby inhibited MAC formation. The antibody prevented disease in experimental autoimmune myasthenia gravis and ameliorated relapse in chronic relapsing experimental autoimmune encephalomyelitis in human C6 transgenic rats. CP010 is a promising complement C6 inhibitor that prevents MAC formation. Systemic administration of this C6 monoclonal antibody has therapeutic potential in the treatment of neuronal disease.Molecular Epidemiolog