{"schema_version":"1.0","canonical_url":"https://patentable.app/patents/US-9766552","patent":{"patent_number":"US-9766552","title":"Methods and apparatus for calculating electromagnetic scattering properties of a structure and for reconstruction of approximate structures","assignee":null,"inventors":[],"filing_date":"2014-08-08T00:00:00.000Z","publication_date":"2017-09-19T00:00:00.000Z","cpc_codes":["G01N","H01L"],"num_claims":12,"abstract":"A method of calculating electromagnetic scattering properties of a structure, the structure including materials of differing properties and the structure being periodic in at least one lateral direction and extending in a vertical direction, comprises: numerically solving a volume integral equation for electromagnetic scattering for a plurality of modes in the at least one lateral direction, by performing, for each respective mode, integration (1350) of a pseudo-spectral polynomial (Chebyshev) expansion in the vertical direction multiplied by a ID Green's function using the same sample points in the orthogonal direction for all of the plurality of modes. The integration is performed by solving a regularized linear system of equations between first (1116) and second (1120) discrete transformation steps to compute (1118) values of a regularized Chebyshev expansion coefficient vector (γ). Electromagnetic scattering properties of the structure are calculated using the results of the numerical solution."},"analysis":{"summary":null,"layman_explanation":null,"technical_analysis":null,"business_analysis":null,"faqs":null,"topics":[],"tech_cluster":null},"seo":{"title":"Methods and apparatus for calculating electromagnetic scattering properties of a structure and for reconstruction of approximate structures","description":"A method of calculating electromagnetic scattering properties of a structure, the structure including materials of differing properties and the structure being periodic in at least one lateral directi","keywords":[]},"attribution":{"source":"Patentable","source_url":"https://patentable.app","canonical_url":"https://patentable.app/patents/US-9766552","license":"CC-BY-4.0-like","license_terms":"AI-generated analysis on this page (summary, layman_explanation, technical_analysis, business_analysis, faqs) may be reused with attribution and a visible link back to the canonical URL above. Patent abstracts, claims, and bibliographic data are USPTO public domain.","required_link":"https://patentable.app/patents/US-9766552","citation_suggestion":"Patentable. \"Methods and apparatus for calculating electromagnetic scattering properties of a structure and for reconstruction of approximate structures\" (US-9766552). https://patentable.app/patents/US-9766552","copyright_holder":"Nomic Interactive Technology LLC"},"links":{"html":"https://patentable.app/patents/US-9766552","json":"https://patentable.app/api/llm-context/US-9766552","site":"https://patentable.app","llms_txt":"https://patentable.app/llms.txt"},"generated_at":"2026-06-06T08:59:25.747Z"}