Using Vector Spherical Harmonics to Compute Antenna Mutual Impedance from Measured or Computed Fields

Brock, Billy C.

doi:10.2172/763320

Cited by 36 publications

(35 citation statements)

References 14 publications

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“…In the spherical geometry of elastic light scattering by a particle contained entirely within some radius r 0 , the eigenfunction expansions of the fields are made in terms of vector spherical wavefunctions (VSWFs) [1,2,3,4,5,6,7]: M (1,2) nm (kr) = N n h (1,2) n (kr)C nm (θ, φ)…”

Section: The T-matrix Methodsmentioning

confidence: 99%

Calculation of the T-matrix: general considerations and application of the point-matching method

Nieminen

Rubinsztein‐Dunlop

Heckenberg

2003

Journal of Quantitative Spectroscopy and Radiative Transfer

102

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The T-matrix method is widely used for the calculation of scattering by particles of sizes on the order of the illuminating wavelength. Although the extended boundary condition method (EBCM) is the most commonly used technique for calculating the T-matrix, a variety of methods can be used.We consider some general principles of calculating T-matrices, and apply the point-matching method to calculate the T-matrix for particles devoid of symmetry. This method avoids the timeconsuming surface integrals required by the EBCM.

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Section: The T-matrix Methodsmentioning

confidence: 99%

Calculation of the T-matrix: general considerations and application of the point-matching method

Nieminen

Rubinsztein‐Dunlop

Heckenberg

2003

Journal of Quantitative Spectroscopy and Radiative Transfer

102

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“…The derivation is provided in Appendix D. It now becomes clear that (32) and (33) are the solution to the NKP problem (21) under the assumption (15), (16) and (28).…”

Section: Propositionmentioning

confidence: 99%

“…In [17] we expanded the MIMO channel matrix H into spherical vector wave modes M, which is general except for the assumption that both transmit and receive antennas are in each others' far-field region. A method for computing the mutual impedance that relies on the svw multipole expansion of the fields is found in [21]. Together, these tools provide a straightforward and insightful way into antenna design and performance characterization of antennas.…”

Section: Introductionmentioning

confidence: 99%

On Some Optimal Mimo Antenna Coefficients in Multipath Channels

Glazunov¹,

Zhang

2011

PIER B

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Abstract-This paper derives some optimum transmit and receive antenna coefficients in wireless multipath channels based on the spherical vector wave multimode expansion of the multiple-input multiple-output (MIMO) channel matrix.The derived antenna coefficients satisfy the following specific optimization criteria: (i) maximum MIMO mean effective link gain (link MEG) based on the multimode channel realizations or (ii) maximum MIMO link MEG based on the multimode correlation matrix or (iii) correlation minimization by diagonalization of the MIMO full-correlation matrix. It is shown that the proposed approach leads to matrix equations belonging to the nearest Kronecker product (NKP) problem family, which in general have no trivial solution. However, we show that exact solutions are provided to the posed NKP problems under the assumption of the Kronecker model for the MIMO full-correlation matrix. The results are illustrated by numerical examples. The proposed approach is a complement to existing antenna pattern analysis methods.

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“…The angular momentum flux divided by the incident power gives the torque efficiency (or normalized torque) about the beam axis: (14) in units ofh per photon. The incident beam power P inc in units ofh per photon is…”

Section: Torque Calculationmentioning

confidence: 99%

Optimization of optically-driven micromachines

et al. 2009

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While a variety of different optically-driven micromachines have been demonstrated by a number of groups around the world, there is a striking similarity in the designs used. The typical optically-driven rotor consists of a number of arms attached to a central hub, or elongated stalk in the case of free-floating rotors. This is a consequence of the relationship between the symmetry of a scattering object and the transfer of optical angular momentum from a beam to the object.We use a hybrid discrete-dipole approximation/T-matrix method algorithm to computationally model the scattering by such optically-driven rotors. We systematically explore the effects of the most important parameters of rotors, such as the thickness, length, and width of the arms, in order to maximize the torque efficiency.We show that it is possible to use computational modelling to optimize the design of such devices. We also compare the computational results with experiment.

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Using Vector Spherical Harmonics to Compute Antenna Mutual Impedance from Measured or Computed Fields

Abstract: The mutual coupling that exists between the antenna elements in an antenna array can be described with a mutual impedance.

Cited by 36 publications

References 14 publications

Calculation of the T-matrix: general considerations and application of the point-matching method

Calculation of the T-matrix: general considerations and application of the point-matching method

On Some Optimal Mimo Antenna Coefficients in Multipath Channels

Optimization of optically-driven micromachines

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