Publication Information

{'id': 'https://openalex.org/W2076117090', 'doi': 'https://doi.org/10.1364/fio.2003.thll6', 'title': 'Parabolic beams: A new class of invariant optical fields', 'display_name': 'Parabolic beams: A new class of invariant optical fields', 'publication_year': 2003, 'publication_date': '2003-01-01', 'ids': {'openalex': 'https://openalex.org/W2076117090', 'doi': 'https://doi.org/10.1364/fio.2003.thll6', 'mag': '2076117090'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1364/fio.2003.thll6', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S2764597819', 'display_name': 'Frontiers in Optics', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315679', 'host_organization_name': 'Optica Publishing Group', 'host_organization_lineage': ['https://openalex.org/P4310315679'], 'host_organization_lineage_names': ['Optica Publishing Group'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'proceedings-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5088833545', 'display_name': 'Julio C. Gutiérrez-Vega', 'orcid': 'https://orcid.org/0000-0002-8705-2924'}, 'institutions': [{'id': 'https://openalex.org/I98461037', 'display_name': 'Tecnológico de Monterrey', 'ror': 'https://ror.org/03ayjn504', 'country_code': 'MX', 'type': 'education', 'lineage': ['https://openalex.org/I98461037']}], 'countries': ['MX'], 'is_corresponding': False, 'raw_author_name': 'J. C. Gutiérrez-Vega', 'raw_affiliation_strings': ['Tecnologico de Monterrey, Garza-Sada 2501, Monterrey NL 64849, México'], 'affiliations': [{'raw_affiliation_string': 'Tecnologico de Monterrey, Garza-Sada 2501, Monterrey NL 64849, México', 'institution_ids': ['https://openalex.org/I98461037']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5060211493', 'display_name': 'Miguel A. Bandres', 'orcid': 'https://orcid.org/0000-0002-7145-8567'}, 'institutions': [{'id': 'https://openalex.org/I98461037', 'display_name': 'Tecnológico de Monterrey', 'ror': 'https://ror.org/03ayjn504', 'country_code': 'MX', 'type': 'education', 'lineage': ['https://openalex.org/I98461037']}], 'countries': ['MX'], 'is_corresponding': False, 'raw_author_name': 'M. A. Bandrés-Motola', 'raw_affiliation_strings': ['Tecnologico de Monterrey, Garza-Sada 2501, Monterrey NL 64849, México'], 'affiliations': [{'raw_affiliation_string': 'Tecnologico de Monterrey, Garza-Sada 2501, Monterrey NL 64849, México', 'institution_ids': ['https://openalex.org/I98461037']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5027539146', 'display_name': 'S. Chávez-Cerda', 'orcid': 'https://orcid.org/0000-0001-5002-7402'}, 'institutions': [{'id': 'https://openalex.org/I39824353', 'display_name': 'National Institute of Astrophysics, Optics and Electronics', 'ror': 'https://ror.org/00bpmmc63', 'country_code': 'MX', 'type': 'facility', 'lineage': ['https://openalex.org/I39824353']}], 'countries': ['MX'], 'is_corresponding': False, 'raw_author_name': 'S. Chávez-Cerda', 'raw_affiliation_strings': ['Instituto Nacional de Astrofísica, Óptica y Electrónica, Apdo. Postal 51/216, Puebla, Puebla 72000, Mexico'], 'affiliations': [{'raw_affiliation_string': 'Instituto Nacional de Astrofísica, Óptica y Electrónica, Apdo. Postal 51/216, Puebla, Puebla 72000, Mexico', 'institution_ids': ['https://openalex.org/I39824353']}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 2, 'corresponding_author_ids': [], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 0.0, 'has_fulltext': False, 'cited_by_count': 0, 'citation_normalized_percentile': {'value': 0.0, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 0, 'max': 59}, 'biblio': {'volume': '17', 'issue': None, 'first_page': 'ThLL6', 'last_page': 'ThLL6'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10490', 'display_name': 'Orbital Angular Momentum in Optics', 'score': 0.9999, 'subfield': {'id': 'https://openalex.org/subfields/3107', 'display_name': 'Atomic and Molecular Physics, and Optics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10490', 'display_name': 'Orbital Angular Momentum in Optics', 'score': 0.9999, 'subfield': {'id': 'https://openalex.org/subfields/3107', 'display_name': 'Atomic and Molecular Physics, and Optics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10566', 'display_name': 'Laser-Matter Interactions and Applications', 'score': 0.9888, 'subfield': {'id': 'https://openalex.org/subfields/3107', 'display_name': 'Atomic and Molecular Physics, and Optics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T10988', 'display_name': 'Advanced Fiber Laser Technologies', 'score': 0.9859, 'subfield': {'id': 'https://openalex.org/subfields/3107', 'display_name': 'Atomic and Molecular Physics, and Optics'}, 'field': {'id': 'https://openalex.org/fields/31', 'display_name': 'Physics and Astronomy'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/elliptic-coordinate-system', 'display_name': 'Elliptic coordinate system', 'score': 0.7994515}, {'id': 'https://openalex.org/keywords/parabolic-cylindrical-coordinates', 'display_name': 'Parabolic cylindrical coordinates', 'score': 0.70638174}, {'id': 'https://openalex.org/keywords/helmholtz-equation', 'display_name': 'Helmholtz equation', 'score': 0.6098727}, {'id': 'https://openalex.org/keywords/parabolic-coordinates', 'display_name': 'Parabolic coordinates', 'score': 0.47496697}], 'concepts': [{'id': 'https://openalex.org/C108172862', 'wikidata': 'https://www.wikidata.org/wiki/Q1332432', 'display_name': 'Elliptic coordinate system', 'level': 3, 'score': 0.7994515}, {'id': 'https://openalex.org/C190710774', 'wikidata': 'https://www.wikidata.org/wiki/Q2473905', 'display_name': 'Parabolic cylindrical coordinates', 'level': 5, 'score': 0.70638174}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.6725165}, {'id': 'https://openalex.org/C16038011', 'wikidata': 'https://www.wikidata.org/wiki/Q62912', 'display_name': 'Cartesian coordinate system', 'level': 2, 'score': 0.6567688}, {'id': 'https://openalex.org/C201076478', 'wikidata': 'https://www.wikidata.org/wiki/Q211851', 'display_name': 'Cylindrical coordinate system', 'level': 2, 'score': 0.63923013}, {'id': 'https://openalex.org/C18591234', 'wikidata': 'https://www.wikidata.org/wiki/Q860615', 'display_name': 'Helmholtz equation', 'level': 3, 'score': 0.6098727}, {'id': 'https://openalex.org/C190470478', 'wikidata': 'https://www.wikidata.org/wiki/Q2370229', 'display_name': 'Invariant (physics)', 'level': 2, 'score': 0.58384347}, {'id': 'https://openalex.org/C27451561', 'wikidata': 'https://www.wikidata.org/wiki/Q2588831', 'display_name': 'Orthogonal coordinates', 'level': 2, 'score': 0.5804937}, {'id': 'https://openalex.org/C126990412', 'wikidata': 'https://www.wikidata.org/wiki/Q203218', 'display_name': 'Spherical coordinate system', 'level': 2, 'score': 0.5727811}, {'id': 'https://openalex.org/C80551277', 'wikidata': 'https://www.wikidata.org/wiki/Q11210', 'display_name': 'Coordinate system', 'level': 2, 'score': 0.53839856}, {'id': 'https://openalex.org/C107706756', 'wikidata': 'https://www.wikidata.org/wiki/Q219637', 'display_name': 'Bessel function', 'level': 2, 'score': 0.52362233}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.5159624}, {'id': 'https://openalex.org/C113504408', 'wikidata': 'https://www.wikidata.org/wiki/Q2373660', 'display_name': 'Parabolic coordinates', 'level': 4, 'score': 0.47496697}, {'id': 'https://openalex.org/C43856775', 'wikidata': 'https://www.wikidata.org/wiki/Q3754582', 'display_name': 'Parabolic cylinder function', 'level': 4, 'score': 0.44853312}, {'id': 'https://openalex.org/C203311528', 'wikidata': 'https://www.wikidata.org/wiki/Q34132', 'display_name': 'Cylinder', 'level': 2, 'score': 0.41229284}, {'id': 'https://openalex.org/C120665830', 'wikidata': 'https://www.wikidata.org/wiki/Q14620', 'display_name': 'Optics', 'level': 1, 'score': 0.41036257}, {'id': 'https://openalex.org/C186867907', 'wikidata': 'https://www.wikidata.org/wiki/Q1575416', 'display_name': 'Parabolic partial differential equation', 'level': 3, 'score': 0.3689735}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.3042841}, {'id': 'https://openalex.org/C93779851', 'wikidata': 'https://www.wikidata.org/wiki/Q271977', 'display_name': 'Partial differential equation', 'level': 2, 'score': 0.25090063}, {'id': 'https://openalex.org/C136364276', 'wikidata': 'https://www.wikidata.org/wiki/Q6666761', 'display_name': 'Log-polar coordinates', 'level': 3, 'score': 0.2425918}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.23552111}, {'id': 'https://openalex.org/C62520636', 'wikidata': 'https://www.wikidata.org/wiki/Q944', 'display_name': 'Quantum mechanics', 'level': 1, 'score': 0.1559434}, {'id': 'https://openalex.org/C182310444', 'wikidata': 'https://www.wikidata.org/wiki/Q1332643', 'display_name': 'Boundary value problem', 'level': 2, 'score': 0.079378456}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1364/fio.2003.thll6', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S2764597819', 'display_name': 'Frontiers in Optics', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315679', 'host_organization_name': 'Optica Publishing Group', 'host_organization_lineage': ['https://openalex.org/P4310315679'], 'host_organization_lineage_names': ['Optica Publishing Group'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 4, 'referenced_works': ['https://openalex.org/W1971780827', 'https://openalex.org/W1975791259', 'https://openalex.org/W2022071597', 'https://openalex.org/W2032028897'], 'related_works': ['https://openalex.org/W993586985', 'https://openalex.org/W3097903363', 'https://openalex.org/W2500090689', 'https://openalex.org/W2076117090', 'https://openalex.org/W2070955639', 'https://openalex.org/W2069532949', 'https://openalex.org/W1997581407', 'https://openalex.org/W1973657206', 'https://openalex.org/W1972057932', 'https://openalex.org/W1593078594'], 'abstract_inverted_index': {'From': [0], 'group': [1], 'theory,': [2], 'it': [3], 'is': [4, 11, 94], 'known': [5], 'that': [6], 'the': [7, 82, 99], 'three-dimensional': [8], 'Helmholtz': [9, 83], 'equation': [10, 84], 'separable': [12], 'in': [13, 46, 52, 61, 67, 85, 96], 'four': [14], 'orthogonal': [15], 'cylindrical': [16, 54], 'coordinate': [17], 'systems:': [18], 'rectangular': [19], '(i.e.': [20], 'Cartesian),': [21], 'circular,': [22], 'elliptic,': [23], 'and': [24, 41, 57, 101, 107], 'parabolic': [25, 86], 'systems': [26], '[1].': [27], 'Invariant': [28], 'Optical': [29], 'Fields': [30], '(often': [31], 'referred': [32], 'to': [33], 'as': [34], 'nondiffracting': [35], 'beams)': [36], 'have': [37], 'been': [38], 'demonstrated': [39], 'theoretical': [40], 'experimentally': [42], 'for': [43, 49, 58], 'plane': [44], 'waves': [45], 'Cartesian': [47], 'coordinates,': [48], 'Bessel': [50], 'beams': [51, 60], 'circular': [53], 'coordinates': [55, 63], '[2,3],': [56], 'Mathieu': [59], 'elliptic': [62], '[4,5].': [64], 'We': [65], 'introduce': [66], 'this': [68], 'work': [69], 'a': [70], 'new': [71], 'class': [72], 'of': [73, 81, 91, 98], 'invariant': [74], 'optical': [75], 'fields': [76], 'which': [77], 'are': [78], 'exact': [79], 'solutions': [80], 'coordinates.': [87], 'The': [88], 'spatial': [89], 'distribution': [90], 'these': [92], 'PIOFs': [93], 'described': [95], 'terms': [97], 'even': [100], 'odd': [102], 'Parabolic': [103], 'cylinder': [104], 'functions': [105], 'Pe': [106], 'Po,': [108], 'namely': [109]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2076117090', 'counts_by_year': [], 'updated_date': '2024-12-10T13:38:31.609161', 'created_date': '2016-06-24'}