{"uid":"cap_KpAMC6LmXwFZuLjPtU2j2","slug":"halowerk-periodic-te-grating-coupled-fourier-maxwell-diffraction-7655ae7c","name":"Halowerk Periodic TE-Grating Coupled Fourier-Maxwell Diffraction Energy Ledger","description":"Recover a complete coupled periodic-grating diffraction artifact with its modal power ledger.","url":"https://detect.halowerk.com/v1/F-TD2000-GEO-INDUSTRY-B011/periodic-te-grating-coupled-fourier-maxwell-diffraction-energy-ledger?utm_source=zero.xyz","method":"POST","headers":{},"bodySchema":{"type":"object","properties":{"artifact":{"type":"object","required":["rcwa"],"properties":{"rcwa":{"type":"object","required":["data","claim"],"properties":{"data":{"type":"object","required":["harmonic_count","vacuum_wavelength","period","layer_thickness","permittivity_cosine_coefficients","incident_refractive_index","transmitted_refractive_index","incident_angle"],"properties":{"period":{"type":"number","maximum":10,"minimum":0.1},"harmonic_count":{"enum":[3,5,7]},"incident_angle":{"type":"number","maximum":0.8,"minimum":-0.8},"layer_thickness":{"type":"number","maximum":2,"minimum":0.001},"vacuum_wavelength":{"type":"number","maximum":10,"minimum":0.1},"incident_refractive_index":{"type":"number","maximum":3,"minimum":0.5},"transmitted_refractive_index":{"type":"number","maximum":3,"minimum":0.5},"permittivity_cosine_coefficients":{"type":"array","items":{"type":"number","maximum":10,"minimum":-10},"maxItems":4,"minItems":1}},"additionalProperties":false},"claim":{}},"additionalProperties":false}},"additionalProperties":false}}},"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.003","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.003/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.003","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.003","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_sVg713_mAjASPz-y1X8vq","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.003","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"Recovers a complete coupled periodic-grating diffraction artifact with its modal power ledger using RCWA (Rigorous Coupled-Wave Analysis) for TE-polarized gratings.","exampleAgentPrompt":"Run a TE-grating RCWA diffraction energy ledger for a grating with period 0.5 µm, vacuum wavelength 0.633 µm, layer thickness 0.2 µm, incident angle 0.3 rad, incident refractive index 1.0, transmitted refractive index 1.5, 5 harmonics, and permittivity cosine coefficients [2.25, 0.5, 0.1] — give me the full modal power breakdown.","exampleUseCases":[{"title":"Photonic grating diffraction efficiency simulation","prompt":"I need the full diffraction energy ledger for a sinusoidal dielectric grating: period 1.0 µm, vacuum wavelength 0.85 µm, layer thickness 0.3 µm, incident angle 0.0 rad, incident index 1.0, transmitted index 1.8, 7 harmonics, and permittivity cosine coefficients [3.0, 0.8]. Show me how power is split across all diffraction orders."},{"title":"Anti-reflection grating design validation","prompt":"Check the modal power distribution for my anti-reflection grating design — period 0.4 µm, wavelength 0.5 µm, layer thickness 0.1 µm, 5 harmonics, incident index 1.0, transmitted index 1.45, incident angle -0.2 rad, and permittivity cosine coefficients [2.1, 0.3, -0.05]. I want to confirm the energy is going mostly into the zeroth transmitted order."},{"title":"Oblique incidence grating scattering analysis","prompt":"Compute the Fourier-Maxwell diffraction artifact and modal energy ledger for a TE grating at oblique incidence: vacuum wavelength 1.55 µm, period 2.0 µm, layer thickness 0.5 µm, incident angle 0.6 rad, incident refractive index 1.0, transmitted refractive index 2.5, 3 harmonics, and permittivity cosine coefficients [6.25, 1.2, -0.3, 0.05]."}],"resultDescription":"Returns a complete coupled periodic-grating diffraction artifact including the full modal power ledger — a structured breakdown of diffraction efficiencies (reflected and transmitted power) for each diffraction order computed via RCWA, along with the recovered field and energy distribution data across all harmonics.","failureModes":["Invalid harmonic_count (must be 3, 5, or 7) returns validation error","period or vacuum_wavelength out of range [0.1, 10] returns schema error","incident_angle outside [-0.8, 0.8] rad returns out-of-range error","permittivity_cosine_coefficients array exceeds 4 items or values outside [-10, 10] returns validation failure","layer_thickness below 0.001 or above 2 returns bounds error","Missing required RCWA data fields returns 400 bad request","Payment not attached or insufficient USDC causes 402 Payment Required"],"whenToPreferThis":"Choose this endpoint when you need rigorous coupled-wave analysis (RCWA) results for a one-dimensional periodic TE-polarized diffraction grating with cosine-modulated permittivity, and require the full modal power ledger across all diffraction orders. It is well-suited for photonics design validation, anti-reflection grating optimization, and electromagnetic scattering simulation at optical wavelengths. Prefer this over approximate methods (thin-film transfer matrix, scalar diffraction theory) when you need exact electromagnetic field solutions with multiple harmonics.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-11-02T12:31:18.659Z","isFirstParty":false,"canonicalSlug":"halowerk-periodic-te-grating-coupled-fourier-maxwell-diffraction-7655ae7c"}