{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:DITZUAFEEGAAJ4BKKKVX2WEGA7","short_pith_number":"pith:DITZUAFE","schema_version":"1.0","canonical_sha256":"1a279a00a4218004f02a52ab7d588607c3518eef37b91dacdfeb9684c2280cac","source":{"kind":"arxiv","id":"1108.5218","version":1},"attestation_state":"computed","paper":{"title":"Fourier Optics on Graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Ashkan Vakil, Nader Engheta","submitted_at":"2011-08-26T00:45:38Z","abstract_excerpt":"Using numerical simulations, here we demonstrate that a single sheet of graphene with properly designed inhomogeneous, nonuniform conductivity distributions can act as a convex lens for focusing and collimating the transverse-magnetic (TM) surface Plasmon polariton (SPP) surface wave propagating along the graphene. Consequently, we show that the graphene can act as a platform capable of obtaining spatial Fourier transform of infra-red (IR) SPP signals. This may lead to rebirth of the field of Fourier Optics on a one-atom-thick structure."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1108.5218","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.optics","submitted_at":"2011-08-26T00:45:38Z","cross_cats_sorted":[],"title_canon_sha256":"cfd9aff32e0bd6c3abc9f1d342bd8ead7ec829f47e75a0b3e859193d8a008d1c","abstract_canon_sha256":"728f18beecc4aa2c6bcd9f9046284d1bc065c4cd13c13577d3a11b2a5ebdb97c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:00:47.823879Z","signature_b64":"kp+ThCtHkBhjTfM1gCJETGGg8572wXEvmCOFagXRc1wJCyZ2VaT9x7dQn5llkFnEkrfLKv8Qihm6cU9OIiPEBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a279a00a4218004f02a52ab7d588607c3518eef37b91dacdfeb9684c2280cac","last_reissued_at":"2026-05-18T02:00:47.823329Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:00:47.823329Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fourier Optics on Graphene","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.optics","authors_text":"Ashkan Vakil, Nader Engheta","submitted_at":"2011-08-26T00:45:38Z","abstract_excerpt":"Using numerical simulations, here we demonstrate that a single sheet of graphene with properly designed inhomogeneous, nonuniform conductivity distributions can act as a convex lens for focusing and collimating the transverse-magnetic (TM) surface Plasmon polariton (SPP) surface wave propagating along the graphene. Consequently, we show that the graphene can act as a platform capable of obtaining spatial Fourier transform of infra-red (IR) SPP signals. This may lead to rebirth of the field of Fourier Optics on a one-atom-thick structure."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.5218","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1108.5218","created_at":"2026-05-18T02:00:47.823414+00:00"},{"alias_kind":"arxiv_version","alias_value":"1108.5218v1","created_at":"2026-05-18T02:00:47.823414+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.5218","created_at":"2026-05-18T02:00:47.823414+00:00"},{"alias_kind":"pith_short_12","alias_value":"DITZUAFEEGAA","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_16","alias_value":"DITZUAFEEGAAJ4BK","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_8","alias_value":"DITZUAFE","created_at":"2026-05-18T12:26:26.731475+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DITZUAFEEGAAJ4BKKKVX2WEGA7","json":"https://pith.science/pith/DITZUAFEEGAAJ4BKKKVX2WEGA7.json","graph_json":"https://pith.science/api/pith-number/DITZUAFEEGAAJ4BKKKVX2WEGA7/graph.json","events_json":"https://pith.science/api/pith-number/DITZUAFEEGAAJ4BKKKVX2WEGA7/events.json","paper":"https://pith.science/paper/DITZUAFE"},"agent_actions":{"view_html":"https://pith.science/pith/DITZUAFEEGAAJ4BKKKVX2WEGA7","download_json":"https://pith.science/pith/DITZUAFEEGAAJ4BKKKVX2WEGA7.json","view_paper":"https://pith.science/paper/DITZUAFE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1108.5218&json=true","fetch_graph":"https://pith.science/api/pith-number/DITZUAFEEGAAJ4BKKKVX2WEGA7/graph.json","fetch_events":"https://pith.science/api/pith-number/DITZUAFEEGAAJ4BKKKVX2WEGA7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DITZUAFEEGAAJ4BKKKVX2WEGA7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DITZUAFEEGAAJ4BKKKVX2WEGA7/action/storage_attestation","attest_author":"https://pith.science/pith/DITZUAFEEGAAJ4BKKKVX2WEGA7/action/author_attestation","sign_citation":"https://pith.science/pith/DITZUAFEEGAAJ4BKKKVX2WEGA7/action/citation_signature","submit_replication":"https://pith.science/pith/DITZUAFEEGAAJ4BKKKVX2WEGA7/action/replication_record"}},"created_at":"2026-05-18T02:00:47.823414+00:00","updated_at":"2026-05-18T02:00:47.823414+00:00"}