Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2108010353', 'doi': 'https://doi.org/10.1029/jz067i013p05279', 'title': 'Dispersive body waves', 'display_name': 'Dispersive body waves', 'publication_year': 1962, 'publication_date': '1962-12-01', 'ids': {'openalex': 'https://openalex.org/W2108010353', 'doi': 'https://doi.org/10.1029/jz067i013p05279', 'mag': '2108010353'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1029/jz067i013p05279', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S207178839', 'display_name': 'Journal of Geophysical Research Atmospheres', 'issn_l': '0148-0227', 'issn': ['0148-0227', '2156-2202'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315809', 'host_organization_name': 'American Geophysical Union', 'host_organization_lineage': ['https://openalex.org/P4310315809'], 'host_organization_lineage_names': ['American Geophysical Union'], 'type': 'journal'}, 'license': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-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/A5069701468', 'display_name': 'Walter I. Futterman', 'orcid': None}, 'institutions': [], 'countries': [], 'is_corresponding': True, 'raw_author_name': 'Walter I. Futterman', 'raw_affiliation_strings': [], 'affiliations': []}], 'institution_assertions': [], 'countries_distinct_count': 0, 'institutions_distinct_count': 0, 'corresponding_author_ids': ['https://openalex.org/A5069701468'], 'corresponding_institution_ids': [], 'apc_list': None, 'apc_paid': None, 'fwci': 9.938, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 1117, 'citation_normalized_percentile': {'value': 0.99926, 'is_in_top_1_percent': True, 'is_in_top_10_percent': True}, 'cited_by_percentile_year': {'min': 99, 'max': 100}, 'biblio': {'volume': '67', 'issue': '13', 'first_page': '5279', 'last_page': '5291'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10662', 'display_name': 'Ultrasonics and Acoustic Wave Propagation', 'score': 0.9991, 'subfield': {'id': 'https://openalex.org/subfields/2211', 'display_name': 'Mechanics of Materials'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, 'topics': [{'id': 'https://openalex.org/T10662', 'display_name': 'Ultrasonics and Acoustic Wave Propagation', 'score': 0.9991, 'subfield': {'id': 'https://openalex.org/subfields/2211', 'display_name': 'Mechanics of Materials'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T13885', 'display_name': 'Geophysics and Sensor Technology', 'score': 0.9988, 'subfield': {'id': 'https://openalex.org/subfields/2212', 'display_name': 'Ocean Engineering'}, 'field': {'id': 'https://openalex.org/fields/22', 'display_name': 'Engineering'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}, {'id': 'https://openalex.org/T11757', 'display_name': 'Seismic Waves and Analysis', 'score': 0.9976, 'subfield': {'id': 'https://openalex.org/subfields/1908', 'display_name': 'Geophysics'}, 'field': {'id': 'https://openalex.org/fields/19', 'display_name': 'Earth and Planetary Sciences'}, 'domain': {'id': 'https://openalex.org/domains/3', 'display_name': 'Physical Sciences'}}], 'keywords': [{'id': 'https://openalex.org/keywords/phase-velocity', 'display_name': 'Phase velocity', 'score': 0.53469867}, {'id': 'https://openalex.org/keywords/dispersion-relation', 'display_name': 'Dispersion relation', 'score': 0.48456803}, {'id': 'https://openalex.org/keywords/integral-transform', 'display_name': 'Integral transform', 'score': 0.47236377}, {'id': 'https://openalex.org/keywords/group-velocity', 'display_name': 'Group velocity', 'score': 0.4182005}], 'concepts': [{'id': 'https://openalex.org/C184652730', 'wikidata': 'https://www.wikidata.org/wiki/Q2357982', 'display_name': 'Attenuation', 'level': 2, 'score': 0.65924}, {'id': 'https://openalex.org/C177562468', 'wikidata': 'https://www.wikidata.org/wiki/Q182893', 'display_name': 'Dispersion (optics)', 'level': 2, 'score': 0.65026253}, {'id': 'https://openalex.org/C125287762', 'wikidata': 'https://www.wikidata.org/wiki/Q1758948', 'display_name': 'Absorption (acoustics)', 'level': 2, 'score': 0.61264515}, {'id': 'https://openalex.org/C121332964', 'wikidata': 'https://www.wikidata.org/wiki/Q413', 'display_name': 'Physics', 'level': 0, 'score': 0.55177325}, {'id': 'https://openalex.org/C26682833', 'wikidata': 'https://www.wikidata.org/wiki/Q13824', 'display_name': 'Phase velocity', 'level': 2, 'score': 0.53469867}, {'id': 'https://openalex.org/C159774933', 'wikidata': 'https://www.wikidata.org/wiki/Q902086', 'display_name': 'Attenuation coefficient', 'level': 2, 'score': 0.5293727}, {'id': 'https://openalex.org/C202579712', 'wikidata': 'https://www.wikidata.org/wiki/Q590051', 'display_name': 'Dispersion relation', 'level': 2, 'score': 0.48456803}, {'id': 'https://openalex.org/C44886760', 'wikidata': 'https://www.wikidata.org/wiki/Q1758425', 'display_name': 'Wave propagation', 'level': 2, 'score': 0.4753639}, {'id': 'https://openalex.org/C200052193', 'wikidata': 'https://www.wikidata.org/wiki/Q877802', 'display_name': 'Integral transform', 'level': 2, 'score': 0.47236377}, {'id': 'https://openalex.org/C205318122', 'wikidata': 'https://www.wikidata.org/wiki/Q72277', 'display_name': 'Refraction', 'level': 2, 'score': 0.45196375}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.44968385}, {'id': 'https://openalex.org/C30475298', 'wikidata': 'https://www.wikidata.org/wiki/Q909554', 'display_name': 'Computational physics', 'level': 1, 'score': 0.44274238}, {'id': 'https://openalex.org/C181341577', 'wikidata': 'https://www.wikidata.org/wiki/Q217361', 'display_name': 'Group velocity', 'level': 2, 'score': 0.4182005}, {'id': 'https://openalex.org/C120665830', 'wikidata': 'https://www.wikidata.org/wiki/Q14620', 'display_name': 'Optics', 'level': 1, 'score': 0.37008134}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.28319216}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1029/jz067i013p05279', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S207178839', 'display_name': 'Journal of Geophysical Research Atmospheres', 'issn_l': '0148-0227', 'issn': ['0148-0227', '2156-2202'], 'is_oa': False, 'is_in_doaj': False, 'is_core': True, 'host_organization': 'https://openalex.org/P4310315809', 'host_organization_name': 'American Geophysical Union', 'host_organization_lineage': ['https://openalex.org/P4310315809'], 'host_organization_lineage_names': ['American Geophysical Union'], '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': 19, 'referenced_works': ['https://openalex.org/W1600066860', 'https://openalex.org/W1633117367', 'https://openalex.org/W1990606784', 'https://openalex.org/W2028317725', 'https://openalex.org/W2036036302', 'https://openalex.org/W2040341637', 'https://openalex.org/W2059004125', 'https://openalex.org/W2080700966', 'https://openalex.org/W2099635087', 'https://openalex.org/W2149934264', 'https://openalex.org/W2170296970', 'https://openalex.org/W217587959', 'https://openalex.org/W2612473476', 'https://openalex.org/W2777984317', 'https://openalex.org/W2806294963', 'https://openalex.org/W3146073576', 'https://openalex.org/W4255442803', 'https://openalex.org/W4285719527', 'https://openalex.org/W614707241'], 'related_works': ['https://openalex.org/W2538189272', 'https://openalex.org/W2357224161', 'https://openalex.org/W2123295075', 'https://openalex.org/W2078527222', 'https://openalex.org/W2072586390', 'https://openalex.org/W2031397368', 'https://openalex.org/W1997906751', 'https://openalex.org/W1637377492', 'https://openalex.org/W1585007164', 'https://openalex.org/W1549539012'], 'abstract_inverted_index': {'Journal': [0], 'of': [1, 62, 72, 85, 96, 115, 140, 157, 168, 176, 179, 181, 190, 202, 205, 232, 264, 298, 388, 432, 443, 481, 496, 520, 536, 550, 574, 609, 612, 628, 656, 675, 706], 'Geophysical': [2], 'Research': [3], '(1896-1977)Volume': [4], '67,': [5, 716], 'Issue': [6], '13': [7], 'p.': [8], '5279-5291': [9, 736], 'Dispersive': [10], 'body': [11, 116], 'waves': [12, 117, 524, 660], 'Walter': [13, 16, 25, 28], 'I.': [14, 17, 26, 29, 470], 'Futterman,': [15, 27], 'FuttermanSearch': [18, 30], 'for': [19, 31, 226, 250, 279, 307, 690], 'more': [20, 32], 'papers': [21, 33], 'by': [22, 34, 148, 188, 466], 'this': [23, 35, 97], 'author': [24, 36], 'First': [37], 'published:': [38], 'December': [39], '1962': [40], 'https://doi.org/10.1029/JZ067i013p05279Citations:': [41], '821AboutPDF': [42], 'ToolsRequest': [43], 'permissionExport': [44], 'citationAdd': [45], 'to': [46, 68, 91, 131, 184, 211, 259, 273, 313, 338, 385, 672], 'favoritesTrack': [47], 'citation': [48], 'ShareShare': [49], 'Give': [50], 'accessShare': [51, 54], 'full': [52], 'text': [53], 'full-text': [55, 70, 94], 'accessPlease': [56], 'review': [57, 535], 'our': [58, 218], 'Terms': [59, 82], 'and': [60, 64, 76, 83, 102, 144, 207, 223, 291, 302, 358, 372, 469, 498, 555, 557, 626, 658], 'Conditions': [61, 84], 'Use': [63], 'check': [65], 'box': [66], 'below': [67, 90], 'share': [69, 92], 'version': [71, 95], 'article.I': [73], 'have': [74], 'read': [75], 'accept': [77], 'the': [78, 88, 113, 132, 141, 155, 162, 169, 173, 177, 182, 185, 194, 203, 227, 233, 241, 262, 280, 299, 314, 324, 331, 341, 347, 386, 537, 541, 548, 607, 610, 673, 710], 'Wiley': [79, 447], 'Online': [80], 'Library': [81], 'UseShareable': [86], 'LinkUse': [87], 'link': [89], 'a': [93, 108, 137, 200, 212, 245, 253, 275, 303, 534], 'article': [98], 'with': [99, 222], 'your': [100], 'friends': [101], 'colleagues.': [103], 'Learn': [104], 'more.Copy': [105], 'URL': [106], 'Share': [107], 'linkShare': [109], 'onEmailFacebookTwitterLinkedInRedditWechat': [110], 'Abstract': [111], 'Although': [112], 'attenuation': [114, 401], 'in': [118, 161, 270, 284, 321, 340, 420, 459, 461, 525, 564, 577, 661], 'an': [119, 158, 191], 'infinite': [120], 'medium': [121, 142, 183, 300], 'has': [122, 244], 'often': [123], 'been': [124], 'considered,': [125], 'little': [126], 'emphasis': [127], 'is': [128, 136, 145, 268, 326], 'usually': [129], 'given': [130], 'attendant': [133], 'dispersion,': [134], 'which': [135, 282, 306], 'necessary': [138, 269], 'consequence': [139, 201], 'absorption': [143, 242, 309, 325], 'determined': [146, 295], 'unambiguously': [147], 'it.': [149], 'Dispersion': [150], 'equations': [151], 'are': [152, 167, 199, 220, 236, 294], 'obtained': [153], 'from': [154, 403, 709], 'application': [156], 'integral': [159, 192], 'transform': [160], 'frequency': [163, 196, 249], 'domain.': [164], 'Such': [165], 'relations': [166], 'Kramers-Krönig': [170], 'type,': [171], 'relating': [172], 'dispersive': [174], 'part': [175, 187], 'index': [178], 'refraction': [180], 'absorptive': [186], 'means': [189], 'over': [193], 'entire': [195], 'range.': [197], 'They': [198], 'principle': [204, 285], 'causality': [206], 'follow': [208], 'without': [209], 'recourse': [210], 'specific': [213], 'wave': [214, 228, 400], 'equation.': [215], 'In': [216, 238], 'particular,': [217], 'results': [219], 'consistent': [221], 'presume': [224], 'linearity': [225], 'motion.': [229], 'Three': [230], 'forms': [231], 'dispersion': [234, 333, 611, 688], 'equation': [235], 'exhibited.': [237], 'all': [239, 271], 'cases,': [240], 'coefficient': [243], 'linear': [246], 'dependence': [247], 'upon': [248], 'frequencies': [251], 'above': [252], 'certain': [254], 'characteristic': [255, 304], 'value—chosen': [256], 'low': [257], 'enough': [258], 'be': [260, 286, 311, 336, 350], 'outside': [261], 'range': [263], 'measurement.': [265], 'However,': [266], 'it': [267], 'cases': [272], 'introduce': [274], 'low-frequency,': [276], 'nonzero': [277], 'cutoff': [278], 'absorption,': [281], 'can': [283, 310, 349], 'taken': [287], 'arbitrarily': [288], 'small.': [289], 'Group': [290, 373], 'phase': [292], 'velocities': [293], 'as': [296], 'functions': [297], 'Q': [301], 'velocity,': [305], 'small': [308, 521], 'related': [312], 'measured': [315], 'signal': [316], 'velocity.': [317], 'Seismic': [318, 399], 'phenomena': [319], 'occur': [320], 'materials': [322, 346], 'where': [323], 'small,': [327], 'Q≥30,': [328], 'so': [329], 'that': [330], 'corresponding': [332], 'presumably': [334], 'will': [335], 'difficult': [337], 'measure': [339], 'earth.': [342], 'For': [343], 'appropriate': [344], 'laboratory': [345], 'effect': [348], 'significant.': [351], 'References': [352], 'Bode,': [353], 'H.': [354, 586], 'W.,': [355], 'Network': [356], 'Analysis': [357], 'Feedback': [359], 'Amplifier': [360], 'Design,': [361], 'Van': [362, 630, 650], 'Nostrand,': [363, 631, 651], 'Princeton,': [364, 632], 'N.': [365, 471, 633, 695, 723], 'J.,': [366, 634, 638], '1945.': [367, 488], 'Brillouin,': [368], 'L.,': [369, 514], 'Wave': [370], 'Propagation': [371], 'Velocity,': [374], 'Academic': [375], 'Press,': [376, 392, 417, 511, 567, 681, 729], 'New': [377, 426, 450, 486], 'York,': [378, 427, 451, 487], '1960.': [379], 'Bullen,': [380], 'K.': [381], 'E.,': [382, 477], 'An': [383], 'Introduction': [384, 671], 'Theory': [387, 495, 674], 'Seismology,': [389], 'Cambridge': [390, 509, 727], 'University': [391, 510, 728], '1953.': [393, 438, 569], 'Collins,': [394], 'F.,': [395], 'C.': [396, 397], 'Lee,': [398], 'characteristics': [402], 'pulse': [404], 'experiments,': [405], 'Geophysics,': [406, 664], '21,': [407], '16–40,': [408], '1956.': [409, 584], 'Ewing,': [410], 'W.': [411, 413, 622], 'M.,': [412, 491], 'S.': [414, 454], 'Jardetzky,': [415], 'F.': [416, 478, 517, 637, 639, 701], 'Elastic': [418], 'Waves': [419, 563], 'Layered': [421], 'Media,': [422], 'McGraw-Hill': [423], 'Book': [424], 'Co.,': [425], '1957.': [428], 'Gross,': [429], 'B.,': [430], 'Theories': [431], 'Viscoelasticity,': [433], 'Hermann': [434], 'et': [435, 552], 'Cie,': [436], 'Paris,': [437], 'Guilleman,': [439], 'E.': [440, 653, 669, 720], 'A.,': [441, 587], 'Mathematics': [442], 'Circuit': [444], 'Analysis,': [445, 726], 'John': [446], '&': [448], 'Sons,': [449], '1949.': [452], 'Hunter,': [453], 'C.,': [455, 670, 699], 'Viscoelastic': [456], 'waves,chapter': [457], '1': [458], 'Progress': [460], 'Solid': [462], 'Mechanics,,': [463], '1,': [464], 'edited': [465], 'R.': [467, 642, 645, 648, 700], 'Hill,': [468], 'Sneddon,': [472], 'Interscience': [473], 'Publishers,New': [474], 'York,1960.': [475], 'Janke,': [476], 'Emde,': [479], 'Tables': [480], 'Functions': [482], '4th': [483, 507], 'ed.,': [484, 508, 679], 'Dover,': [485], 'Jauch,': [489], 'J.': [490, 516, 614, 652, 685, 713], 'andF.': [492], 'Rohrlich,': [493], 'The': [494, 505, 572, 687], 'Photons': [497], 'Electrons,': [499], 'appendix': [500], '7,Addison-Wesley,Cambridge,': [501], 'Mass.,1955.': [502], 'Jeffreys,': [503], 'H.,': [504, 561, 571], 'Earth': [506], '1959.': [512], 'Knopoff,': [513], 'andG.': [515], 'MacDonald,': [518], 'Attenuation': [519, 655], 'amplitude': [522], 'stress': [523, 575], 'solids,Revs.': [526], 'Modern': [527, 725], 'Phys.,': [528], '30,': [529], '1178–1192,1958.': [530], 'This': [531], 'reference': [532], 'contains': [533], 'relevant': [538], 'experiments': [539], 'yielding': [540], 'first': [542], 'power': [543], 'law': [544], 'data.': [545], 'See': [546], 'especially': [547], 'work': [549], 'McDonald': [551], 'al.': [553], '[1958]': [554], 'Collins': [556], 'Lee': [558], '[1956].': [559], 'Kolsky,': [560, 570], 'Stress': [562], 'Solids,': [565, 629], 'Clarendon': [566, 680], 'Oxford,': [568, 682], 'propagation': [573], 'pulses': [576], 'viscoelastic': [578], 'solids,': [579], 'Phil.': [580], 'Mag.,': [581], '18,': [582], '693–710704,': [583], 'Kramers,': [585], 'La': [588], 'diffusion': [589], 'de': [590], 'la': [591], 'lumiere': [592], 'par': [593], 'les': [594], 'atomes,': [595], 'Atti': [596], 'congr.': [597], 'intern.': [598], 'fisica,': [599], 'Como,': [600], '2,': [601], '545–557,': [602], '1927.': [603, 730], 'Kronig,': [604], 'R.,': [605], 'On': [606], 'theory': [608], 'X-rays,': [613], 'Opt.': [615], 'Soc.': [616], 'Am.,': [617], '12,': [618], '547–557,': [619], '1926.': [620], 'Mason,': [621], 'P.,': [623], 'Physical': [624], 'Acoustics': [625], 'Properties': [627], '1958.': [635, 667], 'McDonal,': [636], 'A.': [640], 'Angona,': [641], 'L.': [643, 646], 'Mills,': [644], 'Sengbush,': [647], 'G.': [649, 698, 722], 'White,': [654], 'shear': [657], 'compressional': [659], 'Pierre': [662], 'shale,': [663], '23,': [665], '421–439,': [666], 'Titchmarsh,': [668], 'Fourier': [676], 'Integrals': [677], '2nd': [678], '1948.': [683], 'Toll,': [684], 'S.,': [686], 'relation': [689], 'light,': [691], 'unpublished': [692], 'thesis,Princeton': [693], 'University,Princeton,': [694], 'J.,1952.': [696], 'Werth,': [697], 'Herbst,': [702], 'D.': [703], 'Springer,': [704], 'Amplitudes': [705], 'seismic': [707], 'arrivals': [708], 'M': [711], 'discontinuity,': [712], 'Geophys.': [714], 'Research,': [715], '1587–1610,': [717], '1962.': [718], 'Whittaker,': [719], 'T.,': [721], 'Watson,': [724], 'Citing': [731], 'Literature': [732], 'Volume67,': [733], 'Issue13December': [734], '1962Pages': [735], 'ReferencesRelatedInformation': [737]}, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2108010353', 'counts_by_year': [{'year': 2024, 'cited_by_count': 29}, {'year': 2023, 'cited_by_count': 38}, {'year': 2022, 'cited_by_count': 46}, {'year': 2021, 'cited_by_count': 33}, {'year': 2020, 'cited_by_count': 44}, {'year': 2019, 'cited_by_count': 32}, {'year': 2018, 'cited_by_count': 45}, {'year': 2017, 'cited_by_count': 44}, {'year': 2016, 'cited_by_count': 40}, {'year': 2015, 'cited_by_count': 33}, {'year': 2014, 'cited_by_count': 38}, {'year': 2013, 'cited_by_count': 30}, {'year': 2012, 'cited_by_count': 24}], 'updated_date': '2024-12-14T19:14:01.999258', 'created_date': '2016-06-24'}