{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:Q4MWVCN4P7AN7BXNVKNYJO655V","short_pith_number":"pith:Q4MWVCN4","schema_version":"1.0","canonical_sha256":"87196a89bc7fc0df86edaa9b84bbdded67d7365463e1f26d40ce1b8c956ea701","source":{"kind":"arxiv","id":"1910.09429","version":1},"attestation_state":"computed","paper":{"title":"Non-uniqueness of the Quasinormal Mode Expansion of Electromagnetic Lorentz Dispersive Materials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"Alexandre Gras, Marc Durufl\\'e, Philippe Lalanne","submitted_at":"2019-10-21T15:03:29Z","abstract_excerpt":"Any optical structure possesses resonance modes and its response to an excitation can be decomposed onto the quasinormal and numerical modes of discretized Maxwell's operator. In this paper, we consider a dielectric permittivity that is a N-pole Lorentz function of the pulsation $\\omega$. We propose a common formalism and obtain different formulas for the modal expansion. The non-uniqueness of the excitation coeffcient is due to a choice of the linearization of Maxwell's equation with respect to $\\omega$ and of the form of the source term. We make the link between the numerical discrete modal "},"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":"1910.09429","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2019-10-21T15:03:29Z","cross_cats_sorted":[],"title_canon_sha256":"eae2089cf06e955012dcd56a078e92e733f8e82ec26cae07f6c4bc7f440db2fa","abstract_canon_sha256":"217470876b64d90d15659cfe412e63ad1ace22e2cc58f4aba582c0baa3a8cc47"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:18:41.103882Z","signature_b64":"4Fwhcrcg3m3evza0H5ffCeJTnD/g+/0jQA0C+PQyClwXTnGBZXwA4cPr9Bz2UITivUMrhl5wjxic4P9JTfQkAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"87196a89bc7fc0df86edaa9b84bbdded67d7365463e1f26d40ce1b8c956ea701","last_reissued_at":"2026-07-05T01:18:41.103443Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:18:41.103443Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Non-uniqueness of the Quasinormal Mode Expansion of Electromagnetic Lorentz Dispersive Materials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"Alexandre Gras, Marc Durufl\\'e, Philippe Lalanne","submitted_at":"2019-10-21T15:03:29Z","abstract_excerpt":"Any optical structure possesses resonance modes and its response to an excitation can be decomposed onto the quasinormal and numerical modes of discretized Maxwell's operator. In this paper, we consider a dielectric permittivity that is a N-pole Lorentz function of the pulsation $\\omega$. We propose a common formalism and obtain different formulas for the modal expansion. The non-uniqueness of the excitation coeffcient is due to a choice of the linearization of Maxwell's equation with respect to $\\omega$ and of the form of the source term. We make the link between the numerical discrete modal "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.09429","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1910.09429/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"1910.09429","created_at":"2026-07-05T01:18:41.103497+00:00"},{"alias_kind":"arxiv_version","alias_value":"1910.09429v1","created_at":"2026-07-05T01:18:41.103497+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.09429","created_at":"2026-07-05T01:18:41.103497+00:00"},{"alias_kind":"pith_short_12","alias_value":"Q4MWVCN4P7AN","created_at":"2026-07-05T01:18:41.103497+00:00"},{"alias_kind":"pith_short_16","alias_value":"Q4MWVCN4P7AN7BXN","created_at":"2026-07-05T01:18:41.103497+00:00"},{"alias_kind":"pith_short_8","alias_value":"Q4MWVCN4","created_at":"2026-07-05T01:18:41.103497+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/Q4MWVCN4P7AN7BXNVKNYJO655V","json":"https://pith.science/pith/Q4MWVCN4P7AN7BXNVKNYJO655V.json","graph_json":"https://pith.science/api/pith-number/Q4MWVCN4P7AN7BXNVKNYJO655V/graph.json","events_json":"https://pith.science/api/pith-number/Q4MWVCN4P7AN7BXNVKNYJO655V/events.json","paper":"https://pith.science/paper/Q4MWVCN4"},"agent_actions":{"view_html":"https://pith.science/pith/Q4MWVCN4P7AN7BXNVKNYJO655V","download_json":"https://pith.science/pith/Q4MWVCN4P7AN7BXNVKNYJO655V.json","view_paper":"https://pith.science/paper/Q4MWVCN4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1910.09429&json=true","fetch_graph":"https://pith.science/api/pith-number/Q4MWVCN4P7AN7BXNVKNYJO655V/graph.json","fetch_events":"https://pith.science/api/pith-number/Q4MWVCN4P7AN7BXNVKNYJO655V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Q4MWVCN4P7AN7BXNVKNYJO655V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Q4MWVCN4P7AN7BXNVKNYJO655V/action/storage_attestation","attest_author":"https://pith.science/pith/Q4MWVCN4P7AN7BXNVKNYJO655V/action/author_attestation","sign_citation":"https://pith.science/pith/Q4MWVCN4P7AN7BXNVKNYJO655V/action/citation_signature","submit_replication":"https://pith.science/pith/Q4MWVCN4P7AN7BXNVKNYJO655V/action/replication_record"}},"created_at":"2026-07-05T01:18:41.103497+00:00","updated_at":"2026-07-05T01:18:41.103497+00:00"}