{
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  "Package": "sonar",
  "Type": "Package",
  "Title": "Fundamental Formulas for Sonar",
  "Version": "1.0.2",
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  "Authors@R": "c(person(given = \"Jose\", family = \"Gama\", role = c(\"aut\",\"cre\"),email = \"rxprtgama@gmail.com\") )",
  "Description": "Formulas for calculating sound velocity, water pressure,\ndepth, density, absorption and sonar equations.",
  "License": "GPL (>= 3)",
  "Packaged": {
    "Date": "2026-05-18 07:06:47 UTC",
    "User": "root"
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  "Author": "Jose Gama [aut, cre]",
  "Maintainer": "Jose Gama <rxprtgama@gmail.com>",
  "NeedsCompilation": "no",
  "Repository": "https://cran.r-universe.dev",
  "Date/Publication": "2016-09-15 15:46:37 UTC",
  "RemoteUrl": "https://github.com/cran/sonar",
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  "_published": "2026-06-02T16:35:52.101Z",
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    "message": "version 1.0.2\n",
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  "_assets": [
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    "extra/citation.html",
    "extra/citation.json",
    "extra/citation.txt",
    "extra/contents.json",
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    "manual.pdf"
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  "_realowner": "cran",
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      "version": "1.0.2",
      "date": "2016-09-15"
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  ],
  "_exports": [
    "AbsorptionAlphaAinslieMcColm",
    "AbsorptionAlphaFisherSimmons",
    "AbsorptionSoundFreshWaterFrancoisGarrison",
    "AbsorptionSoundSeaWaterFrancoisGarrison",
    "BandLevelFlatSpectrum",
    "BandLevelFromCompleteBand",
    "BasicActiveSonarEquation",
    "BasicPassiveSonarEquation",
    "BasicSonarEquation",
    "CavitationThresholdEstimateFunctionOfDepth",
    "CavitationThresholdEstimateFunctionOfRadiatedAcousticPowerIntensity",
    "CutoffFrequencyShallowWater",
    "CutoffFrequencyWater",
    "DepthToPressureLeroyParthiot",
    "DetectionIndex",
    "fuelStabilizer",
    "HydrophoneSensitivity",
    "InternationalFormulaForGravity",
    "MaximumRadiatedPowerToAvoidCavitation",
    "MolecularRelaxationAttenuationCoeficientApproximation",
    "PeakTS",
    "PlaneWaveIntensity",
    "PlaneWavePressure",
    "PLcylindricalSpreadingLaw",
    "PLSphericalSpreadingAndAbsorption",
    "PLsphericalSpreadingLaw",
    "PowerCylindricalSpreadingLaw",
    "PowerSphericalSpreadingLaw",
    "PressureBalticSimplifiedLeroy",
    "PressureBlackSeaSimplifiedLeroy",
    "PressureModifiedSimplifiedLeroy",
    "PressureSimplifiedLeroy",
    "PressureToDepthLeroyParthiot",
    "PressureToDepthSaundersFofonoff",
    "ProjectorSensitivityPower",
    "ProjectorSensitivityVoltage",
    "PropagationLoss",
    "RangeResolutionCHIRP",
    "RangeResolutionMonotonic",
    "SLdirectionalProjector",
    "SLomnidirectionalProjector",
    "SonarEquation",
    "SourceLevel",
    "SourceLevelToAvoidCavitation",
    "SpeedOfSound",
    "SpeedOfSoundAir",
    "SpeedOfSoundDryAir",
    "SpeedOfSoundFreshWaterGrossoMader",
    "SpeedOfSoundHumidAir",
    "SpeedOfSoundKinslerEtal",
    "SpeedOfSoundPureWaterBelogolskiiSekoyanEtal",
    "SpeedOfSoundPureWaterBilaniukWong112",
    "SpeedOfSoundPureWaterBilaniukWong148",
    "SpeedOfSoundPureWaterBilaniukWong36",
    "SpeedOfSoundPureWaterLubbersandGraaffSEa",
    "SpeedOfSoundPureWaterLubbersandGraaffSEb",
    "SpeedOfSoundPureWaterMarczak",
    "SpeedOfSoundSeaWaterChenAndMillero",
    "SpeedOfSoundSeaWaterCoppens",
    "SpeedOfSoundSeaWaterDelGrosso",
    "SpeedOfSoundSeaWaterFryeAndPugh",
    "SpeedOfSoundSeaWaterLeroy68",
    "SpeedOfSoundSeaWaterLeroy69",
    "SpeedOfSoundSeaWaterLeroyEtAl2008",
    "SpeedOfSoundSeaWaterLovett1",
    "SpeedOfSoundSeaWaterLovett2",
    "SpeedOfSoundSeaWaterLovett3",
    "SpeedOfSoundSeaWaterMackenzie",
    "SpeedOfSoundSeaWaterMedwin",
    "SpeedOfSoundSeaWaterSkone",
    "SpeedOfSoundSeaWaterWilson",
    "TargetStrength",
    "TargetStrengthCircularPlateNormal",
    "TargetStrengthConvexSurface",
    "TargetStrengthCylinderNormal",
    "TargetStrengthCylinderThetaToNormal",
    "TargetStrengthPlateAnyShape",
    "TargetStrengthRectangularPlateNormal",
    "TargetStrengthRectangularPlateThetaToNormal",
    "TargetStrengthSphere",
    "TransmitDirectivityIndex"
  ],
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      "name": "CorrectiveTermsDepthFromPressure",
      "title": "Corrective terms to be added for obtaining depth from pressure",
      "object": "CorrectiveTermsDepthFromPressure",
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      "class": [
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        "Area.of.applicability",
        "Latitude",
        "Expression.for.deltaf",
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      ],
      "rows": 13,
      "table": true,
      "tojson": true
    },
    {
      "name": "CorrectiveTermsPressureFromDepth",
      "title": "Corrective terms to be subtracted for obtaining pressure from depth",
      "object": "CorrectiveTermsPressureFromDepth",
      "file": "CorrectiveTermsPressureFromDepth.rda",
      "class": [
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      ],
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        "Area.of.applicability",
        "Latitude",
        "Expression.for.deltah",
        "Accuracy"
      ],
      "rows": 14,
      "table": true,
      "tojson": true
    },
    {
      "name": "MolecularRelaxationAttenuationCoeficient",
      "title": "Molecular relaxation attenuation coeficient (alpha)",
      "object": "MolecularRelaxationAttenuationCoeficient",
      "file": "MolecularRelaxationAttenuationCoeficient.rda",
      "class": [
        "data.frame"
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      "fields": [
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        "X200",
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      ],
      "rows": 3,
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    },
    {
      "name": "SpeedAlgorithmParameterRanges",
      "title": "Data on Speed of Sound Algorithm Parameter Ranges",
      "object": "SpeedAlgorithmParameterRanges",
      "file": "SpeedAlgorithmParameterRanges.rda",
      "class": [
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      "fields": [
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        "TemperatureRangeMin",
        "TemperatureRangeMax",
        "SalinityRangeMin",
        "SalinityRangeMax",
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        "PressureOrDepthRangeUnits",
        "StandardError",
        "NumberOfTerms"
      ],
      "rows": 10,
      "table": true,
      "tojson": true
    }
  ],
  "_help": [
    {
      "page": "AbsorptionAlphaAinslieMcColm",
      "title": "Calculation of absorption in sea water from Ainslie and McColm 1998",
      "topics": [
        "AbsorptionAlphaAinslieMcColm"
      ]
    },
    {
      "page": "AbsorptionAlphaFisherSimmons",
      "title": "Calculation of absorption in sea water from Fisher and Simmons 1977",
      "topics": [
        "AbsorptionAlphaFisherSimmons"
      ]
    },
    {
      "page": "AbsorptionSoundFreshWaterFrancoisGarrison",
      "title": "Calculation of absorption of sound in fresh water From Francois & Garrison 1982",
      "topics": [
        "AbsorptionSoundFreshWaterFrancoisGarrison"
      ]
    },
    {
      "page": "AbsorptionSoundSeaWaterFrancoisGarrison",
      "title": "Calculation of absorption of sound in sea water From Francois & Garrison 1982",
      "topics": [
        "AbsorptionSoundSeaWaterFrancoisGarrison"
      ]
    },
    {
      "page": "BandLevelFlatSpectrum",
      "title": "band level (BL) for flat spectrum",
      "topics": [
        "BandLevelFlatSpectrum"
      ]
    },
    {
      "page": "BandLevelFromCompleteBand",
      "title": "band level (BL) from complete band",
      "topics": [
        "BandLevelFromCompleteBand"
      ]
    },
    {
      "page": "BasicActiveSonarEquation",
      "title": "basic active sonar equation",
      "topics": [
        "BasicActiveSonarEquation"
      ]
    },
    {
      "page": "BasicPassiveSonarEquation",
      "title": "basic passive sonar equation",
      "topics": [
        "BasicPassiveSonarEquation"
      ]
    },
    {
      "page": "BasicSonarEquation",
      "title": "basic sonar equation",
      "topics": [
        "BasicSonarEquation"
      ]
    },
    {
      "page": "CavitationThresholdEstimateFunctionOfDepth",
      "title": "Cavitation threshold estimate as a function of depth",
      "topics": [
        "CavitationThresholdEstimateFunctionOfDepth"
      ]
    },
    {
      "page": "CavitationThresholdEstimateFunctionOfRadiatedAcousticPowerIntensity",
      "title": "Cavitation threshold estimate as a function of radiated acoustic power intensity",
      "topics": [
        "CavitationThresholdEstimateFunctionOfRadiatedAcousticPowerIntensity"
      ]
    },
    {
      "page": "CorrectiveTermsDepthFromPressure",
      "title": "Corrective terms to be added for obtaining depth from pressure",
      "topics": [
        "CorrectiveTermsDepthFromPressure"
      ]
    },
    {
      "page": "CorrectiveTermsPressureFromDepth",
      "title": "Corrective terms to be subtracted for obtaining pressure from depth",
      "topics": [
        "CorrectiveTermsPressureFromDepth"
      ]
    },
    {
      "page": "CutoffFrequencyShallowWater",
      "title": "Calculation of cutoff frequency in shallow water from Jensen et Al 2011",
      "topics": [
        "CutoffFrequencyShallowWater"
      ]
    },
    {
      "page": "CutoffFrequencyWater",
      "title": "Calculation of cutoff frequency in water from Jensen et Al 2011",
      "topics": [
        "CutoffFrequencyWater"
      ]
    },
    {
      "page": "DepthToPressureLeroyParthiot",
      "title": "Depth To Pressure from Leroy Parthiot 1998",
      "topics": [
        "DepthToPressureLeroyParthiot"
      ]
    },
    {
      "page": "DetectionIndex",
      "title": "Detection index",
      "topics": [
        "DetectionIndex"
      ]
    },
    {
      "page": "fuelStabilizer",
      "title": "Number of milliliters or drops of stabilizer are needed to stabilize a certain amount of fuel",
      "topics": [
        "fuelStabilizer"
      ]
    },
    {
      "page": "HydrophoneSensitivity",
      "title": "Hydrophone Sensitivity",
      "topics": [
        "HydrophoneSensitivity"
      ]
    },
    {
      "page": "InternationalFormulaForGravity",
      "title": "International Formula For Gravity",
      "topics": [
        "InternationalFormulaForGravity"
      ]
    },
    {
      "page": "MaximumRadiatedPowerToAvoidCavitation",
      "title": "Maximum radiated power to avoid cavitation",
      "topics": [
        "MaximumRadiatedPowerToAvoidCavitation"
      ]
    },
    {
      "page": "MolecularRelaxationAttenuationCoeficient",
      "title": "Molecular relaxation attenuation coeficient (alpha)",
      "topics": [
        "MolecularRelaxationAttenuationCoeficient"
      ]
    },
    {
      "page": "MolecularRelaxationAttenuationCoeficientApproximation",
      "title": "Molecular relaxation attenuation coeficient approximation",
      "topics": [
        "MolecularRelaxationAttenuationCoeficientApproximation"
      ]
    },
    {
      "page": "PeakTS",
      "title": "peak pressure of the incident and reflected pulses",
      "topics": [
        "PeakTS"
      ]
    },
    {
      "page": "PlaneWaveIntensity",
      "title": "Plane wave intensity",
      "topics": [
        "PlaneWaveIntensity"
      ]
    },
    {
      "page": "PlaneWavePressure",
      "title": "Plane wave pressure",
      "topics": [
        "PlaneWavePressure"
      ]
    },
    {
      "page": "PLcylindricalSpreadingLaw",
      "title": "PL to range r cylindrical spreading law in logarithmic form",
      "topics": [
        "PLcylindricalSpreadingLaw"
      ]
    },
    {
      "page": "PLSphericalSpreadingAndAbsorption",
      "title": "PL Spherical Spreading and Absorption",
      "topics": [
        "PLSphericalSpreadingAndAbsorption"
      ]
    },
    {
      "page": "PLsphericalSpreadingLaw",
      "title": "PL to range r spherical spreading law in logarithmic form",
      "topics": [
        "PLsphericalSpreadingLaw"
      ]
    },
    {
      "page": "PowerCylindricalSpreadingLaw",
      "title": "Power cylindrical spreading law",
      "topics": [
        "PowerCylindricalSpreadingLaw"
      ]
    },
    {
      "page": "PowerSphericalSpreadingLaw",
      "title": "Power spherical spreading law",
      "topics": [
        "PowerSphericalSpreadingLaw"
      ]
    },
    {
      "page": "PressureBalticSimplifiedLeroy",
      "title": "Calculation of pressure in the Baltic from Leroy 1969",
      "topics": [
        "PressureBalticSimplifiedLeroy"
      ]
    },
    {
      "page": "PressureBlackSeaSimplifiedLeroy",
      "title": "Calculation of pressure in the Black Sea from Leroy 1969",
      "topics": [
        "PressureBlackSeaSimplifiedLeroy"
      ]
    },
    {
      "page": "PressureModifiedSimplifiedLeroy",
      "title": "Calculation of pressure in water (Leroy modified) from Lovett 1978",
      "topics": [
        "PressureModifiedSimplifiedLeroy"
      ]
    },
    {
      "page": "PressureSimplifiedLeroy",
      "title": "Calculation of pressure in water simplified from Leroy 1969",
      "topics": [
        "PressureSimplifiedLeroy"
      ]
    },
    {
      "page": "PressureToDepthLeroyParthiot",
      "title": "Pressure To Depth from Leroy Parthiot 1998",
      "topics": [
        "PressureToDepthLeroyParthiot"
      ]
    },
    {
      "page": "PressureToDepthSaundersFofonoff",
      "title": "Pressure To Depth from Saunders and Fofonoff 1976",
      "topics": [
        "PressureToDepthSaundersFofonoff"
      ]
    },
    {
      "page": "ProjectorSensitivityPower",
      "title": "Projector Sensitivity Power",
      "topics": [
        "ProjectorSensitivityPower"
      ]
    },
    {
      "page": "ProjectorSensitivityVoltage",
      "title": "Projector Sensitivity Voltage",
      "topics": [
        "ProjectorSensitivityVoltage"
      ]
    },
    {
      "page": "PropagationLoss",
      "title": "Propagation loss (PL)",
      "topics": [
        "PropagationLoss"
      ]
    },
    {
      "page": "RangeResolutionCHIRP",
      "title": "Sonar Range Resolution CHIRP",
      "topics": [
        "RangeResolutionCHIRP"
      ]
    },
    {
      "page": "RangeResolutionMonotonic",
      "title": "Sonar Range Resolution for monotonic acoustic systems",
      "topics": [
        "RangeResolutionMonotonic"
      ]
    },
    {
      "page": "SLdirectionalProjector",
      "title": "SL of a directional projector",
      "topics": [
        "SLdirectionalProjector"
      ]
    },
    {
      "page": "SLomnidirectionalProjector",
      "title": "SL of an omnidirectional projector",
      "topics": [
        "SLomnidirectionalProjector"
      ]
    },
    {
      "page": "SonarEquation",
      "title": "sonar equation",
      "topics": [
        "SonarEquation"
      ]
    },
    {
      "page": "SourceLevel",
      "title": "source level (SL)",
      "topics": [
        "SourceLevel"
      ]
    },
    {
      "page": "SourceLevelToAvoidCavitation",
      "title": "source level to avoid cavitation",
      "topics": [
        "SourceLevelToAvoidCavitation"
      ]
    },
    {
      "page": "SpeedAlgorithmParameterRanges",
      "title": "Data on Speed of Sound Algorithm Parameter Ranges",
      "topics": [
        "SpeedAlgorithmParameterRanges"
      ]
    },
    {
      "page": "SpeedOfSound",
      "title": "Speed of sound",
      "topics": [
        "SpeedOfSound"
      ]
    },
    {
      "page": "SpeedOfSoundAir",
      "title": "speed of sound in humid air at sea level air density and known atmospheric pressure",
      "topics": [
        "SpeedOfSoundAir"
      ]
    },
    {
      "page": "SpeedOfSoundDryAir",
      "title": "Speed of sound in dry air at sea level air density and one atmosphere pressure",
      "topics": [
        "SpeedOfSoundDryAir"
      ]
    },
    {
      "page": "SpeedOfSoundFreshWaterGrossoMader",
      "title": "speed of sound (m/s) in fresh water from Grosso and Mader",
      "topics": [
        "SpeedOfSoundFreshWaterGrossoMader"
      ]
    },
    {
      "page": "SpeedOfSoundHumidAir",
      "title": "Speed of sound in Humid air at sea level air density and one atmosphere pressure",
      "topics": [
        "SpeedOfSoundHumidAir"
      ]
    },
    {
      "page": "SpeedOfSoundKinslerEtal",
      "title": "Speed of sound (m/s) from Kinsler et al",
      "topics": [
        "SpeedOfSoundKinslerEtal"
      ]
    },
    {
      "page": "SpeedOfSoundPureWaterBelogolskiiSekoyanEtal",
      "title": "speed of sound (m/s) from Belogolskii, Sekoyan et al",
      "topics": [
        "SpeedOfSoundPureWaterBelogolskiiSekoyanEtal"
      ]
    },
    {
      "page": "SpeedOfSoundPureWaterBilaniukWong112",
      "title": "speed of sound (m/s) from Bilaniuk and Wong 112 point equation",
      "topics": [
        "SpeedOfSoundPureWaterBilaniukWong112"
      ]
    },
    {
      "page": "SpeedOfSoundPureWaterBilaniukWong148",
      "title": "speed of sound (m/s) from Bilaniuk and Wong 148 point equation",
      "topics": [
        "SpeedOfSoundPureWaterBilaniukWong148"
      ]
    },
    {
      "page": "SpeedOfSoundPureWaterBilaniukWong36",
      "title": "speed of sound (m/s) from Bilaniuk and Wong 36 point equation",
      "topics": [
        "SpeedOfSoundPureWaterBilaniukWong36"
      ]
    },
    {
      "page": "SpeedOfSoundPureWaterLubbersandGraaffSEa",
      "title": "speed of sound (m/s) from Lubbers and Graaff's simplified equations a and b",
      "topics": [
        "SpeedOfSoundPureWaterLubbersandGraaffSEa"
      ]
    },
    {
      "page": "SpeedOfSoundPureWaterLubbersandGraaffSEb",
      "title": "speed of sound (m/s) from Lubbers and Graaff's simplified equations a and b",
      "topics": [
        "SpeedOfSoundPureWaterLubbersandGraaffSEb"
      ]
    },
    {
      "page": "SpeedOfSoundPureWaterMarczak",
      "title": "speed of sound (m/s) from Marczak",
      "topics": [
        "SpeedOfSoundPureWaterMarczak"
      ]
    },
    {
      "page": "SpeedOfSoundSeaWaterChenAndMillero",
      "title": "speed of sound (m/s) in sea water from Chen and Millero 1977",
      "topics": [
        "SpeedOfSoundSeaWaterChenAndMillero"
      ]
    },
    {
      "page": "SpeedOfSoundSeaWaterCoppens",
      "title": "speed of sound (m/s) in sea water from Coppens 1981",
      "topics": [
        "SpeedOfSoundSeaWaterCoppens"
      ]
    },
    {
      "page": "SpeedOfSoundSeaWaterDelGrosso",
      "title": "speed of sound (m/s) in sea water from Del Grosso 1974",
      "topics": [
        "SpeedOfSoundSeaWaterDelGrosso"
      ]
    },
    {
      "page": "SpeedOfSoundSeaWaterFryeAndPugh",
      "title": "Calculation of speed of sound in sea water from Frye and Pugh 1971",
      "topics": [
        "SpeedOfSoundSeaWaterFryeAndPugh"
      ]
    },
    {
      "page": "SpeedOfSoundSeaWaterLeroy68",
      "title": "speed of sound (m/s) in sea water from Leroy 1968",
      "topics": [
        "SpeedOfSoundSeaWaterLeroy68"
      ]
    },
    {
      "page": "SpeedOfSoundSeaWaterLeroy69",
      "title": "speed of sound (m/s) in sea water from Leroy 1969",
      "topics": [
        "SpeedOfSoundSeaWaterLeroy69"
      ]
    },
    {
      "page": "SpeedOfSoundSeaWaterLeroyEtAl2008",
      "title": "Calculation of speed of sound in sea water from Leroy et Al 2008",
      "topics": [
        "SpeedOfSoundSeaWaterLeroyEtAl2008"
      ]
    },
    {
      "page": "SpeedOfSoundSeaWaterLovett1",
      "title": "Calculation of speed of sound in sea water from Lovett 1978",
      "topics": [
        "SpeedOfSoundSeaWaterLovett1"
      ]
    },
    {
      "page": "SpeedOfSoundSeaWaterLovett2",
      "title": "Calculation of speed of sound in sea water from Lovett 1978b",
      "topics": [
        "SpeedOfSoundSeaWaterLovett2"
      ]
    },
    {
      "page": "SpeedOfSoundSeaWaterLovett3",
      "title": "Calculation of speed of sound in sea water from Lovett 1978c",
      "topics": [
        "SpeedOfSoundSeaWaterLovett3"
      ]
    },
    {
      "page": "SpeedOfSoundSeaWaterMackenzie",
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