Novel Integral Equation Formulation for Scattering on Dielectric Objects Free of Low-Frequency and Oversampling Breakdowns
Bibliographic record
Abstract
In our recent work [1] we have demonstrated analytic solution of a novel Surface-Volume-Surface Electric Field Integral Equation with magnetic current (SVS-EFIE-M formulation) for the problem of Hertzian dipole radiation in the vicinity of a homogeneous non-magnetic dielectric sphere. The SVS-EFIE-M stated with respect to magnetic current $\hat{n}\times I$ on object’s surface S is shown in (1), where $\overline{\overline{G}}_{m\in}$ is the magnetic field dyadic Green’s function of the homogeneous non-magnetic space with relative permittivity $\epsilon, \overline{\overline{G}}_{e0}$ is the electric field dyadic Green’s function of free-space, and $\hat{n}\times E^{inc}$ is the tangential component of the incident electric field on the surface S. It is obtained through single-source magnetic current based surface integral representation of the electric field inside the dielectric object (see first term in (1) representing $\hat{n}\times E, E$ being the total electric field) constrained by the classical Volume-EFIE (V-EFIE) enforced on the boundary of the object for the tangential component of the electric field.
Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.
How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".