{"artifact_id":"L1-018","layer":"L1","title":"Differential Interference Contrast (DIC / Nomarski) Microscopy","domain":"Microscopy","sub_domain":"Shear-interference phase-gradient imaging","physics_fingerprint":{"L_DAG":3.5,"title":"Differential Interference Contrast (DIC / Nomarski) Microscopy","domain":"Microscopy","carrier":"photon","primitives":["L.wollaston_shear","L.add_coherent","L.modulus_squared","int.temporal"],"sub_domain":"Shear-interference phase-gradient imaging","noise_model":"gaussian","problem_class":"nonlinear_inverse","solution_space":"2D_phase","difficulty_delta":3,"integration_axis":"temporal","sensing_mechanism":"shear_interferometry"},"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 ~= 12); shear_drift dominates the stability cliff; bias_retardation_error 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":1.4,"pixel_nm":100,"shear_nm":200,"shear_drift":0.0,"photon_count":1000,"theta_bias_deg":90,"bias_retardation_error":0.0},"input_format":"measurement_only","problem_class":"dic_nomarski","forward_operator":"dic_nomarski_forward","epsilon_fn_center":"26.0"},"omega_bounds":{"H":[256,4096],"W":[256,4096],"NA":[0.3,1.49],"pixel_nm":[50,300],"shear_nm":[50,500],"shear_drift":[0.0,10.0],"photon_count":[100,20000],"theta_bias_deg":[30,150],"bias_retardation_error":[0.0,0.15],"condenser_misalignment":[0.0,0.05]},"epsilon_bounds":{"psnr_db":[12.0,42.0]},"allowed_problem_classes":["dic_nomarski"],"allowed_omega_dimensions":["H","W","shear_nm","theta_bias_deg","pixel_nm","NA","photon_count","shear_drift","bias_retardation_error","shear_drift","bias_retardation_error","condenser_misalignment"],"allowed_forward_operators":["dic_nomarski_forward"]},"hardness_fn":{"type":"epsilon_fn","delta":3,"kappa":240,"metric":"PSNR_dB"},"initiator_dataset":[{"name":"primary","weight":1.0,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":0.0,"chain_hash":"0xdaf5f3b45c8e21d94481ee3fe5ac7f9c56aa01956c90eb9f1aef59d777949c36","chain_tx_hash":"0x3c99a5af4af41dfa6ea357fea2201842d8decc2f9c47d78b2044f279c3012703","chain_block":41554156}