Symmetric dipole-waveform MSE optimizer

Symmetric dipole-waveform MSE optimizer#

Status: running_symmetric_dipole_waveform_mse_adam · Adam steps: 273 · vector MSE: 0.0811058 · fidelity: 0.924979

This is the corrected x/y/z-symmetric two-port experiment. The sole objective is the normalized squared error between the fixed ideal vector field at the central y dipole and the simulated 2 ps waveform. Q, V, wavelength, and field images are telemetry only. Physical beta is not measured in this scene.

quantity	current	target
pole status	trusted	trustworthy fit
Q	605.66	10,000
wavelength	779.972 nm	780 nm
normalized mode volume, fixed target n=1.75512	2.29915 (λ/n)³	1.1393 (λ/n)³
local-index-corrected normalized volume, current n=1.77697	2.32777 (λ/n)³	—
physical mode volume, local-index corrected	0.196851 µm³	0.1 µm³
physical beta	not measured	requires guided-port and total-loss flux
fixed tape	2.0 ps	—
learning rate	0.01	—
reduced grid	194×42×42	x/y/z symmetry
density variables	3,200	direct 25 nm pixels

The Q and wavelength are direct single-pole fits. Mode volume comes from the symmetry-restored stored energy divided by the central field; its history uses the explicitly fixed target index, while the table also corrects the latest point using the dielectric currently occupying the dipole cell.

No beta number is plotted. The artifact retains a legacy amplitude-derived quantity under inferred_beta_*, but values far above one prove that it is not a probability. The present scene has neither guided-port flux monitors nor a closed loss-flux measurement, so reporting that quantity as beta would be physically misleading.

The source mode is normalized to unit flux on the retained y/z quadrant. After transverse unfolding and x reflection, the configured 1/sqrt(2) amplitude is four units of total two-port power in that solver convention, not one. This common linear field scale cancels from the normalized waveform MSE, so it does not change the material gradient, but it is another reason not to interpret the amplitude-derived proxy as an absolute beta measurement.

The fixed temporal waveform has the exact discrete Gaussian carrier and the specified single-pole lifetime, but its sqrt(Purcell) amplitude relative to the prompt waveguide field is a design normalization. It is not an independently calibrated temporal coupled-mode solution because the bare guided-mode LDOS and port-cavity coupling phase are not specified. The normalized objective remains well-defined, but the target should be read as a prescribed waveform rather than a uniquely physical optimum.