Conversion Matrix Method of Moments for Time-Varying Electromagnetic Analysis

Bass, Stephen F.; Palmer, A. M.; Schab, Kurt; Kerby-Patel, K. C.; Ruyle, Jessica E.

doi:10.1109/tap.2022.3164938

Cited by 12 publications

(12 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Note that eq. (31) indicates that the transformers, and so the Floquet harmonics, have a decay N (w n ) ∼ 1/n. This weight is one of the parameters that can be compared to those extracted by FDTD.…”

Section: E Basis Function Choicementioning

confidence: 99%

“…Some other techniques depart from a Floquet analysis, implementing the SD-TW modulation [11], or modelling a Huygens metasurface with Lorentzian dispersion models [30]. In [31], the solution of the system is found thanks to the implementation of a Method-of-Moments (MoM). Circuit-model interpretations have also been reported based on shunt topologies derived from admittance matrices [32], [33].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Time-varying Metallic Interfaces

Alex‐Amor¹,

Molero²

2022

Preprint

View full text Add to dashboard Cite

This paper presents an analytical framework for the analysis of time-varying metallic metamaterials. Concretely, we particularize the study to time-modulated metallic interfaces embedded between two different semi-infinite media that are illuminated by monochromatic plane waves of frequency ω0. The formulation is based on a Floquet-Bloch modal expansion, which takes into account the time periodicity of the structure (Ts = 2π/ωs), and integral-equation techniques. It allows to extract the reflection/transmission coefficients as well as to derive nontrivial features about the dynamic response and dispersion curves of time-modulated screens. In addition, the proposed formulation has an associated equivalent circuit that gives physical insight to the diffraction phenomenon. Finally, some analytical results are presented to validate the present framework. A good agreement is observed with numerical computations provided by a self-implemented finite-difference time-domain (FDTD) method. Interestingly, the present results suggest that timemodulated metallic screens can be used either as pulsed sources (when ωs ω0) or as beamformers (when ωs ∼ ω0) to redirect energy in specific regions of space.

show abstract

Section: E Basis Function Choicementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Time-varying Metallic Interfaces

Alex‐Amor¹,

Molero²

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Additionally, different phenomena from the optical fields are brought together for the designing purposes of these components in the form of optical interference [4], Guidedmode resonances (GMR) (also known as the Fano-resonances) [5], Kerr effect [6], and many more. Similarly, diverse time domain mathematical approaches, i.e., Finite Difference Time Domain (FDTD) [7], Coupling method [8], Finite Integral Time Domain (FITD) [9], Plane Wave Expansion (PWE) [10], along with frequency domain methods such as the Finite Elements Method (FEM) [11], Method of Moments [12], Transfer Matric Method (TMM) [13] and Fast Multi-pole Method (FMM) [14], are being used to design these components. Mainly dielectrics and semiconductors have been utilized for the design of optical components, which in turn can be modified into different forms to achieve various functionalities, such as optical waveguides [15], directional couplers [16] and Photonic Crystals (PhCs) [17].…”

Section: Introductionmentioning

confidence: 99%

Investigation of Optical-Switching Mechanism Using Guided Mode Resonances

et al. 2022

View full text Add to dashboard Cite

Recently, photonic crystals have paved the way to control photonic signals. Therefore, this research numerically investigated the design of the optical switch using the guided-mode resonances in photonic crystals operating in a communication window around 1.55 μm. The design of the device is based on a dielectric slab waveguide to make it compatible with optical waveguides in photonic circuits. Moreover, two signals are used and are termed as the data signal and control signal. The data signal is coupled into the optical waveguide using an out-of-the-plane vertical coupling mechanism, whereas the control signal is index-guided into the optical waveguide to amplify the data signal. The switching parameters of the optical switch are adjusted by changing the number of the photonic crystal periods and implementing a varying radius PhC-cavity within the middle of the PhC-lattice, where the optical characteristics in terms of resonant wavelength, reflection peaks, linewidth, and quality factor of the data signal can be adjusted. The numerical simulations are carried out in open-source finite difference time domain-based software. Congruently, 7% optical amplification is achieved in the data signal with a wavelength shift of 0.011 μm and a quality factor of 12.64. The amplification of the data signal can be utilized to implement an optical switching mechanism. The device is easy to implement and has great potential to be used in programmable photonics and optical integrated circuits.

show abstract

“…We adapt the classical approach to antenna noise temperature to the case of a time-varying antenna using a generalized cross-frequency formulation of effective aperture. This generalized effective aperture approach is compatible with full-wave time-varying electromagnetic analysis via conversion-matrix / harmonic balance methods [24], frequency-domain co-simulation [21, §6.1] and covariancebased noise models [25], [26], abstract models of timemodulated arrays, and transient simulations. Assumptions regarding signal incidence and external noise are introduced throughout the text, with emphasis placed on following those used in the standard derivation of antenna noise temperature.…”

Section: Introductionmentioning

confidence: 99%

Scattering Properties of Spherical Time-Varying Conductive Shells

Schab

Shirley

Kerby-Patel

2022

IEEE Trans. Antennas Propagat.

Self Cite

View full text Add to dashboard Cite

The equivalent external noise temperature of timevarying antennas is studied using the concept of cross-frequency effective aperture, which quantifies the intermodulation conversion of external noise across the frequency spectrum into a receiver's operational bandwidth. The theoretical tools for this approach are laid out following the classical method for describing external noise temperature of linear time-invariant antennas, with generalizations made along the way to capture the effects of time-varying components or materials. The results demonstrate the specific ways that a time-varying system's noise characteristics are dependent on its cross-frequency effective aperture and the broadband noise environment. The general theory is applied to several examples, including abstract models of hypothetical systems, antennas integrated with parametric amplification, and time-modulated arrays.

show abstract

Conversion Matrix Method of Moments for Time-Varying Electromagnetic Analysis

Cited by 12 publications

References 43 publications

Time-varying Metallic Interfaces

Time-varying Metallic Interfaces

Investigation of Optical-Switching Mechanism Using Guided Mode Resonances

Scattering Properties of Spherical Time-Varying Conductive Shells

Contact Info

Product

Resources

About