Toda potential in laser equations View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1985-03

AUTHORS

G. L. Oppo, A. Politi

ABSTRACT

We show that the well known laser rate equations are fully equivalent to the motion in a Toda potential with intensity dependent losses. The dissipative terms are proportional to the square root ε of the ratio between the damping rate of the atomic population inversion and that of the field intensity. The limit case ε≪1 is extensively studied, finding analytical approximations for the period of the oscillations and the energy losses. Feasibility of adiabatic eliminations is also discussed. More... »

PAGES

111-115

References to SciGraph publications

  • 1982-03. Solution of a laser Fokker-Planck equation for intensity and inversion in ZEITSCHRIFT FÜR PHYSIK B CONDENSED MATTER
  • 1964-02. A nonlinear theory of laser noise and coherence. I in ZEITSCHRIFT FÜR PHYSIK
  • 1984. Route to Chaos in a CO2 Laser with Injected Signal in COHERENCE AND QUANTUM OPTICS V
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/bf01325388

    DOI

    http://dx.doi.org/10.1007/bf01325388

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1001485024


    Indexing Status Check whether this publication has been indexed by Scopus and Web Of Science using the SN Indexing Status Tool
    Incoming Citations Browse incoming citations for this publication using opencitations.net

    JSON-LD is the canonical representation for SciGraph data.

    TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT

    [
      {
        "@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json", 
        "about": [
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0202", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Atomic, Molecular, Nuclear, Particle and Plasma Physics", 
            "type": "DefinedTerm"
          }, 
          {
            "id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/02", 
            "inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/", 
            "name": "Physical Sciences", 
            "type": "DefinedTerm"
          }
        ], 
        "author": [
          {
            "affiliation": {
              "alternateName": "Istituto Nazionale di Ottica", 
              "id": "https://www.grid.ac/institutes/grid.425378.f", 
              "name": [
                "Istituto Nazionale di Ottica, Largo E. Fermi 6, I-50125, Firenze, Italy"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Oppo", 
            "givenName": "G. L.", 
            "id": "sg:person.0677425753.44", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0677425753.44"
            ], 
            "type": "Person"
          }, 
          {
            "affiliation": {
              "alternateName": "Istituto Nazionale di Ottica", 
              "id": "https://www.grid.ac/institutes/grid.425378.f", 
              "name": [
                "Istituto Nazionale di Ottica, Largo E. Fermi 6, I-50125, Firenze, Italy"
              ], 
              "type": "Organization"
            }, 
            "familyName": "Politi", 
            "givenName": "A.", 
            "id": "sg:person.013264105675.78", 
            "sameAs": [
              "https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013264105675.78"
            ], 
            "type": "Person"
          }
        ], 
        "citation": [
          {
            "id": "https://doi.org/10.1073/pnas.6.7.410", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1002001557"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01312968", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032457037", 
              "https://doi.org/10.1007/bf01312968"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01312968", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1032457037", 
              "https://doi.org/10.1007/bf01312968"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0030-4018(84)90016-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1033580220"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0030-4018(84)90016-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1033580220"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/bf01383921", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1039102156", 
              "https://doi.org/10.1007/bf01383921"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0370-1573(75)90018-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1048514211"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1016/0370-1573(75)90018-6", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1048514211"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.49.1217", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060787597"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.1103/physrevlett.49.1217", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1060787597"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "https://doi.org/10.3367/ufnr.0125.197805g.0123", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1071216543"
            ], 
            "type": "CreativeWork"
          }, 
          {
            "id": "sg:pub.10.1007/978-1-4757-0605-5_179", 
            "sameAs": [
              "https://app.dimensions.ai/details/publication/pub.1089724415", 
              "https://doi.org/10.1007/978-1-4757-0605-5_179"
            ], 
            "type": "CreativeWork"
          }
        ], 
        "datePublished": "1985-03", 
        "datePublishedReg": "1985-03-01", 
        "description": "We show that the well known laser rate equations are fully equivalent to the motion in a Toda potential with intensity dependent losses. The dissipative terms are proportional to the square root \u03b5 of the ratio between the damping rate of the atomic population inversion and that of the field intensity. The limit case \u03b5\u226a1 is extensively studied, finding analytical approximations for the period of the oscillations and the energy losses. Feasibility of adiabatic eliminations is also discussed.", 
        "genre": "research_article", 
        "id": "sg:pub.10.1007/bf01325388", 
        "inLanguage": [
          "en"
        ], 
        "isAccessibleForFree": false, 
        "isPartOf": [
          {
            "id": "sg:journal.1285002", 
            "issn": [
              "0722-3277", 
              "1431-584X"
            ], 
            "name": "Zeitschrift f\u00fcr Physik B Condensed Matter", 
            "type": "Periodical"
          }, 
          {
            "issueNumber": "1", 
            "type": "PublicationIssue"
          }, 
          {
            "type": "PublicationVolume", 
            "volumeNumber": "59"
          }
        ], 
        "name": "Toda potential in laser equations", 
        "pagination": "111-115", 
        "productId": [
          {
            "name": "readcube_id", 
            "type": "PropertyValue", 
            "value": [
              "0712ac2495b4bd3512b637ab13ce3bb29353909bb19738d8e3d65f85d4afadd9"
            ]
          }, 
          {
            "name": "doi", 
            "type": "PropertyValue", 
            "value": [
              "10.1007/bf01325388"
            ]
          }, 
          {
            "name": "dimensions_id", 
            "type": "PropertyValue", 
            "value": [
              "pub.1001485024"
            ]
          }
        ], 
        "sameAs": [
          "https://doi.org/10.1007/bf01325388", 
          "https://app.dimensions.ai/details/publication/pub.1001485024"
        ], 
        "sdDataset": "articles", 
        "sdDatePublished": "2019-04-11T13:30", 
        "sdLicense": "https://scigraph.springernature.com/explorer/license/", 
        "sdPublisher": {
          "name": "Springer Nature - SN SciGraph project", 
          "type": "Organization"
        }, 
        "sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000370_0000000370/records_46754_00000000.jsonl", 
        "type": "ScholarlyArticle", 
        "url": "http://link.springer.com/10.1007/BF01325388"
      }
    ]
     

    Download the RDF metadata as:  json-ld nt turtle xml License info

    HOW TO GET THIS DATA PROGRAMMATICALLY:

    JSON-LD is a popular format for linked data which is fully compatible with JSON.

    curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/bf01325388'

    N-Triples is a line-based linked data format ideal for batch operations.

    curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/bf01325388'

    Turtle is a human-readable linked data format.

    curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/bf01325388'

    RDF/XML is a standard XML format for linked data.

    curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/bf01325388'


     

    This table displays all metadata directly associated to this object as RDF triples.

    95 TRIPLES      21 PREDICATES      35 URIs      19 LITERALS      7 BLANK NODES

    Subject Predicate Object
    1 sg:pub.10.1007/bf01325388 schema:about anzsrc-for:02
    2 anzsrc-for:0202
    3 schema:author N1f40e7946e24495f8108b19dfa2de896
    4 schema:citation sg:pub.10.1007/978-1-4757-0605-5_179
    5 sg:pub.10.1007/bf01312968
    6 sg:pub.10.1007/bf01383921
    7 https://doi.org/10.1016/0030-4018(84)90016-6
    8 https://doi.org/10.1016/0370-1573(75)90018-6
    9 https://doi.org/10.1073/pnas.6.7.410
    10 https://doi.org/10.1103/physrevlett.49.1217
    11 https://doi.org/10.3367/ufnr.0125.197805g.0123
    12 schema:datePublished 1985-03
    13 schema:datePublishedReg 1985-03-01
    14 schema:description We show that the well known laser rate equations are fully equivalent to the motion in a Toda potential with intensity dependent losses. The dissipative terms are proportional to the square root ε of the ratio between the damping rate of the atomic population inversion and that of the field intensity. The limit case ε≪1 is extensively studied, finding analytical approximations for the period of the oscillations and the energy losses. Feasibility of adiabatic eliminations is also discussed.
    15 schema:genre research_article
    16 schema:inLanguage en
    17 schema:isAccessibleForFree false
    18 schema:isPartOf Na1f69ec9c2e34045905ceba5c5d48ecd
    19 Nbd6b5efc1a624a2f90886e4a870c930d
    20 sg:journal.1285002
    21 schema:name Toda potential in laser equations
    22 schema:pagination 111-115
    23 schema:productId N101e958a2e81490aab9d9daf9c2179d2
    24 N3f576904f1bf421e8e2cc96cd7b5a5ca
    25 Nc852ac81b8d64e78b7147c2888d05efc
    26 schema:sameAs https://app.dimensions.ai/details/publication/pub.1001485024
    27 https://doi.org/10.1007/bf01325388
    28 schema:sdDatePublished 2019-04-11T13:30
    29 schema:sdLicense https://scigraph.springernature.com/explorer/license/
    30 schema:sdPublisher N46a76de7b95240ecae441fc2681fc12d
    31 schema:url http://link.springer.com/10.1007/BF01325388
    32 sgo:license sg:explorer/license/
    33 sgo:sdDataset articles
    34 rdf:type schema:ScholarlyArticle
    35 N101e958a2e81490aab9d9daf9c2179d2 schema:name doi
    36 schema:value 10.1007/bf01325388
    37 rdf:type schema:PropertyValue
    38 N1f40e7946e24495f8108b19dfa2de896 rdf:first sg:person.0677425753.44
    39 rdf:rest Nbc1b696ed63c47a6b72254d80c53f587
    40 N3f576904f1bf421e8e2cc96cd7b5a5ca schema:name dimensions_id
    41 schema:value pub.1001485024
    42 rdf:type schema:PropertyValue
    43 N46a76de7b95240ecae441fc2681fc12d schema:name Springer Nature - SN SciGraph project
    44 rdf:type schema:Organization
    45 Na1f69ec9c2e34045905ceba5c5d48ecd schema:issueNumber 1
    46 rdf:type schema:PublicationIssue
    47 Nbc1b696ed63c47a6b72254d80c53f587 rdf:first sg:person.013264105675.78
    48 rdf:rest rdf:nil
    49 Nbd6b5efc1a624a2f90886e4a870c930d schema:volumeNumber 59
    50 rdf:type schema:PublicationVolume
    51 Nc852ac81b8d64e78b7147c2888d05efc schema:name readcube_id
    52 schema:value 0712ac2495b4bd3512b637ab13ce3bb29353909bb19738d8e3d65f85d4afadd9
    53 rdf:type schema:PropertyValue
    54 anzsrc-for:02 schema:inDefinedTermSet anzsrc-for:
    55 schema:name Physical Sciences
    56 rdf:type schema:DefinedTerm
    57 anzsrc-for:0202 schema:inDefinedTermSet anzsrc-for:
    58 schema:name Atomic, Molecular, Nuclear, Particle and Plasma Physics
    59 rdf:type schema:DefinedTerm
    60 sg:journal.1285002 schema:issn 0722-3277
    61 1431-584X
    62 schema:name Zeitschrift für Physik B Condensed Matter
    63 rdf:type schema:Periodical
    64 sg:person.013264105675.78 schema:affiliation https://www.grid.ac/institutes/grid.425378.f
    65 schema:familyName Politi
    66 schema:givenName A.
    67 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.013264105675.78
    68 rdf:type schema:Person
    69 sg:person.0677425753.44 schema:affiliation https://www.grid.ac/institutes/grid.425378.f
    70 schema:familyName Oppo
    71 schema:givenName G. L.
    72 schema:sameAs https://app.dimensions.ai/discover/publication?and_facet_researcher=ur.0677425753.44
    73 rdf:type schema:Person
    74 sg:pub.10.1007/978-1-4757-0605-5_179 schema:sameAs https://app.dimensions.ai/details/publication/pub.1089724415
    75 https://doi.org/10.1007/978-1-4757-0605-5_179
    76 rdf:type schema:CreativeWork
    77 sg:pub.10.1007/bf01312968 schema:sameAs https://app.dimensions.ai/details/publication/pub.1032457037
    78 https://doi.org/10.1007/bf01312968
    79 rdf:type schema:CreativeWork
    80 sg:pub.10.1007/bf01383921 schema:sameAs https://app.dimensions.ai/details/publication/pub.1039102156
    81 https://doi.org/10.1007/bf01383921
    82 rdf:type schema:CreativeWork
    83 https://doi.org/10.1016/0030-4018(84)90016-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1033580220
    84 rdf:type schema:CreativeWork
    85 https://doi.org/10.1016/0370-1573(75)90018-6 schema:sameAs https://app.dimensions.ai/details/publication/pub.1048514211
    86 rdf:type schema:CreativeWork
    87 https://doi.org/10.1073/pnas.6.7.410 schema:sameAs https://app.dimensions.ai/details/publication/pub.1002001557
    88 rdf:type schema:CreativeWork
    89 https://doi.org/10.1103/physrevlett.49.1217 schema:sameAs https://app.dimensions.ai/details/publication/pub.1060787597
    90 rdf:type schema:CreativeWork
    91 https://doi.org/10.3367/ufnr.0125.197805g.0123 schema:sameAs https://app.dimensions.ai/details/publication/pub.1071216543
    92 rdf:type schema:CreativeWork
    93 https://www.grid.ac/institutes/grid.425378.f schema:alternateName Istituto Nazionale di Ottica
    94 schema:name Istituto Nazionale di Ottica, Largo E. Fermi 6, I-50125, Firenze, Italy
    95 rdf:type schema:Organization
     




    Preview window. Press ESC to close (or click here)


    ...