{"doi":"10.1063/1.1140342","title":"Electrostatic lens potentials with small relativistic spherical aberration","abstract":"<jats:p>We discuss a computerized systematic investigation to find axially symmetric electrostatic lens potentials with acceptable first-order properties and small spherical aberrations. The calculation of the spherical aberration is based on the direct solution of the relativistic trajectory equation in paraxial and nonparaxial approximation. The potentials are characterized by their properties in infinite magnification mode. Conditions for the computations and constraints to satisfy practical requirements are prescribed. A successful axial potential distribution and its relativistic spherical aberration coefficient, the spherical disk radius, and some first-order optical parameters, are also presented in the paper as an example.</jats:p>","journal":"Review of Scientific Instruments","year":1989,"id":21721,"datarank":0.2535448950202831,"base_score":1.3862943611198906,"endowment":1.3862943611198906,"self_citation_contribution":0.20794415416798362,"citation_network_contribution":0.04560074085229951,"self_endowment_contribution":0.20794415416798362,"citer_contribution":0.04560074085229951,"corpus_percentile":null,"corpus_rank":null,"citation_count":3,"citer_count":1,"citers_with_citation_signal":1,"citers_with_endowment":1,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_data_producer":false,"deposit_databanks":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":138841,"name":"L. Kiss","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"base_score":1.3862943611198906,"endowment":1.3862943611198906,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"24259432","pmcid":null,"openalex_id":"https://openalex.org/W1988386817","authors":[],"funders":[],"total_grants":0,"fwci":0.0,"citation_percentile":0.07083647,"influential_citations":0,"citation_trend":[{"year":2016,"count":1}],"oa_status":"closed","license":null,"oa_locations":[{"url":"https://pubs.aip.org/aip/rsi/article-pdf/60/5/907/19056865/907_1_online.pdf","host_type":"publisher"},{"url":"https://doi.org/10.1063/1.1140342","host_type":"journal"}],"fields_of_study":["Electron and X-Ray Spectroscopy Techniques","Advancements in Photolithography Techniques","Advanced Electron Microscopy Techniques and Applications","Physics"],"mesh_terms":[],"keywords":["Spherical aberration","Paraxial approximation","Physics","Electrostatic lens","Axial symmetry","Lens (geology)","Contrast transfer function","RADIUS","Trajectory of a projectile","Optics","Optical aberration","Geometrical optics","Classical mechanics","Computation","Spherical geometry","Trajectory","Quantum mechanics","Geometry","Wavefront","Mathematics"],"sdg_mappings":[],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-06-06T16:37:48.959806Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}