Implementation of Broadband Microwave Arbitrary-Order Time Differential Operators Using a Reconfigurable Incoherent Photonic Processor
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Bibliographic record
Abstract
A reconfigurable photonic signal processing system for arbitrary-order temporal differentiation of broadband microwave waveforms, with bandwidths up to a few tens of gigahertz, is proposed and experimentally demonstrated. This technique enables full programmability of the differentiation operator to be applied on the input microwave signal, including any desired linear differential-equation operator, by suitably reshaping the incoherent power spectrum according to the corresponding finite-difference time-domain (FDTD) equations obtained from the Euler's approximation. Successive photonic time derivatives of Gaussian-like pulse intensity waveforms with pulse widths of 42 and 72 ps were accurately achieved up to the second and the fourth order, respectively, using the same photonic processing platform. A more general operator, conceived to directly emulate the second-order differential-equation modeling a high-frequency series resistor, inductor, and capacitor (RLC) circuit, was also implemented and successfully tested.
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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 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.001 | 0.000 |
| Research integrity | 0.000 | 0.001 |
| Insufficient payload (model declined to judge) | 0.002 | 0.000 |
Machine scores (provisional)
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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 it