Computation of Fields Via Angular Spectral Representation
Bibliographic record
Abstract
After reading this chapter scholars and students of electromagnetic analysis in layered media should be able to: Transform the Sommerfeld integration path from k p plane to the integration path on complex plane of elevation angles 𝜏; Modify Sommerfeld integrations (SI) into integrals over complex angle 𝜏; and Identify the steepest descent path (SDP) on plane 𝜏 and define it parametrically for use in numerical integration when fields in near and intermediate zones are of interest. They can also be able to: Identify one possible branch cut on plane 𝜏 and identify relation of the SDP to that branch cut; Learn how to maintain analyticity of integrand on SDP by augmenting the SDP with paths circumventing the branch point; and Evaluate far field SIs over SDP on plane 𝜏 analytically. Alternative way to evaluate the SI is through their conversion to the complex plane of observation angle.
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How this classification was reachedexpand
Full frame machine prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. The Gemma side is a direct model label for every work in the frame, read from the title-only record. The Codex side is a classifier learned from the 10,348 direct Codex labels and calibrated to design-weighted sample rates; fields without enough sample support carry no Codex call. Candidate is the union of the two sides; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels.
Distilled classifier scores by category (both heads)
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.000 | 0.002 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.001 | 0.002 |
| Open science | 0.001 | 0.001 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.007 | 0.002 |
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 source (direct Gemma or distilled Codex), 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".