{"artifact_id":"L1-017","layer":"L1","title":"Zernike Phase-Contrast Microscopy","domain":"Microscopy","sub_domain":"Label-free phase visualization","physics_fingerprint":{"L_DAG":3.0,"title":"Zernike Phase-Contrast Microscopy","domain":"Microscopy","carrier":"photon","primitives":["L.phase_plate","L.modulus_squared","int.temporal"],"sub_domain":"Label-free phase visualization","noise_model":"gaussian","problem_class":"nonlinear_inverse","solution_space":"2D_phase","difficulty_delta":3,"integration_axis":"temporal","sensing_mechanism":"phase_plate_interference"},"observable_profile":{"metric":"PSNR_dB","regime":"Existence of the recovered 2D phase is guaranteed within the declared Omega bounds. Uniqueness is local rather than global (non-convex landscape); convergence depends on initialisation and priors. Stability is moderately conditioned (kappa_eff ~= 10); phase_plate_alignment dominates the stability cliff; halo_artifact and the remaining mismatch parameters contribute higher-order bias terms. Additive gaussian thermal/electronic noise sets the irreducible data-fidelity floor, while mild Tikhonov or analytic inversion is sufficient at the nominal Omega point.","secondary":"SSIM"},"size_tiers":{"center_spec":{"omega":{"H":1024,"W":1024,"NA":0.75,"pixel_nm":200,"lambda_nm":550,"photon_count":1000,"halo_artifact":0.0,"phase_plate_alignment":0.0},"input_format":"measurement_only","problem_class":"zernike_phase_contrast","forward_operator":"zernike_phase_contrast_forward","epsilon_fn_center":"28.0"},"omega_bounds":{"H":[256,4096],"W":[256,4096],"NA":[0.3,1.0],"pixel_nm":[100,500],"lambda_nm":[400,700],"photon_count":[100,20000],"halo_artifact":[0.0,0.5],"phase_plate_alignment":[0.0,0.1],"annulus_diaphragm_drift":[0.0,0.1]},"epsilon_bounds":{"psnr_db":[12.0,42.0]},"allowed_problem_classes":["zernike_phase_contrast"],"allowed_omega_dimensions":["H","W","pixel_nm","NA","lambda_nm","photon_count","phase_plate_alignment","halo_artifact","phase_plate_alignment","halo_artifact","annulus_diaphragm_drift"],"allowed_forward_operators":["zernike_phase_contrast_forward"]},"hardness_fn":{"type":"epsilon_fn","delta":3,"kappa":200,"metric":"PSNR_dB"},"initiator_dataset":[{"name":"primary","weight":1.0,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":0.0,"chain_hash":"0x1b4eb6666c67f5c4e1571bc63c21db808107cb1ff8c67434532bb4406d0781a1","chain_tx_hash":"0x12e1be1ad2428759b396576db622ae6d08d17aaf56deca84ab2f0c5acf40ce0d","chain_block":41554156}