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The Antenna Lab | The Ham's Corner | Advanced RF Edge

Category - Background Theory

Explore the underlying theory and equations that power the AN-SOF calculation engine.

Articles

The AN-SOF Calculation Engine
Explore the Conformal Method of Moments (CMoM) and the exact kernel formulation behind the AN-SOF engine. Learn how curved segment modeling eliminates the accuracy issues and numerical singularities found in legacy MoM codes, enabling high-precision simulations from 60 Hz to microwave frequencies.
Electric Field Integral Equation
Understand the core mathematics of antenna simulation. This article explains the Electric Field Integral Equation (EFIE), the transition from surface to wire modeling, and why parametric geometry combined with an exact kernel is essential for accurate results in curved wire structures.
The Exact Kernel
Learn why the Exact Kernel is superior to the common thin-wire approximation. This article explains how AN-SOF avoids non-physical current oscillations and input impedance divergence, ensuring stable, convergent results even when using high-density segmentation for thick wire structures.
The Method of Moments
Discover how the Method of Moments (MoM) converts complex integral equations into solvable linear algebra. This article breaks down the use of triangular basis functions, pulse testing, and the impedance matrix, explaining how AN-SOF uses these techniques to calculate precise current distributions.
Excitation of the Structure
Learn how AN-SOF models electromagnetic excitation through discrete voltage sources and incident plane waves. This article explains the critical differences between delta-gap and finite-gap feed models and details the mathematical integration used to simulate how external fields induce current across wire segments.
Curved vs. Straight Segments
Compare the convergence and stability of curved vs. straight segments in antenna modeling. Using a helical antenna benchmark, this article demonstrates how AN-SOF’s curved segments provide faster, more stable results for resistance, reactance, and admittance while using significantly fewer computational resources.

Sub Categories

Delve into articles covering numerical methods, both general and those specifically used in AN-SOF.
Navigating the Numerical Landscape: Choosing the Right Antenna Simulation Method
In this article, we provide an overview of various numerical methods used in Computational Electromagnetics (CEM), with a special focus on antenna simulation methods such as FDTD, FEM, MoM, CMoM, FMM, MLFMM, FVTD, GO, GTD, UTD, PO, PTD, and DDM.
Overcoming 7 Limitations in Antenna Design: Introducing AN-SOF's Conformal Method of Moments
Introducing AN-SOF’s Conformal Method of Moments, an advanced approach to wire antenna design. By overcoming several limitations of traditional techniques, this method enables accurate modeling and analysis of antennas with complex geometries.
Beyond NEC: Accurate LF/MF Grounding with the James R. Wait Model
Discover the competitive advantage of AN-SOF’s exclusive James R. Wait ground model. This guide explores how to accurately simulate LF/MF broadcast masts with radial wire ground screens, allowing for direct wire-to-ground connections, a critical feature for realistic impedance and efficiency calculations that legacy NEC-based solvers cannot match.
Validating Numerical Methods: Transmission Line Theory and AN-SOF Modeling
Validate AN-SOF numerical results against classical transmission line theory in this detailed study of a wire-over-ground-plane system. By utilizing the short-circuit and open-circuit impedance technique, we demonstrate how simulated data correlates with standard characteristic impedance formulas. This article provides a step-by-step procedure for modeling lines in the AN-SOF workspace and highlights the engine's precision in handling image theory and near-field interactions for numerical method validation.
Circuit Theory Validation: Simulating an RLC Series Resonator
Validate the high-precision numerical stability of AN-SOF at the extreme low-frequency limit. This article details a simulation of a series RLC circuit designed to resonate at 800 Hz, where the wavelength is 375 kilometers. By comparing the simulated current peaks against classical circuit theory formulas, we demonstrate that the AN-SOF engine maintains its accuracy even when the structure size is a minute fraction of the wavelength. This study provides a step-by-step validation of lumped-element integration and frequency-sweep stability for complex system modeling.