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A new method for first-principles calibration of water vapor Raman lidar Valentin Simeonov École polytechnique fédérale de Lausanne Switzerland Overview • • • • • Raman lidar as meteorological tool Lidar and Raman lidar principle Calibration problem New method for instrumental calibration Conclusion and perspectives Raman Lidar for Meteorological observations (RALMO) EPFL-MeteoSwiss Time resolution - 10 min, Vertical resolution - 30 m up to 4 km Nocturnal BL Convective Mixed Layer Residual layer g/kg ‘Rain stop’ Clouds/Fog < 500 m Clouds, Rain How does a lidar work? FOV 1 2 R 𝐼 𝑅 = R 𝑃0 𝐴k 2 𝛽 𝑅 𝛤 𝑅 2 𝑅 +𝑏 𝑅 Γ 𝑅 =− R 𝛼 𝑟 𝑑𝑟 0 I(R) P0 Spectral unit Laser A Telesccope I - Signal magnitude P0 -Laser power A- Telescope area k- Lidar efficiency R- Distance β- Backscatter coefficient Γ - Atmospheric extinction α- Extinction coefficient FOV- Telescope field of view Water vapor Raman lidar 𝜷 = 𝝈𝑵 σ -Raman cross section N – molecular number density 𝒉𝝂𝑹𝒂𝒎=𝒉𝝂𝑳𝒂𝒔 ∓ 𝒉𝝂𝑴𝒐𝒍 𝝀=𝒄 𝝂 High selectivity 𝑞 𝑅 =𝐶 𝐼𝐻2𝑂 (𝑅) 𝛥𝛤𝑁2−𝐻2𝑂 (R) 𝐼𝑁2 (𝑅) 𝑪=𝝁 𝒌𝑵𝟐 𝝈𝑵𝟐 𝒌𝑯𝟐𝑶 𝝈𝑯𝟐𝑶 Scattering intensity Quantitative determination 𝐴 𝐼𝑋 𝑅 = 𝑃0 2 k𝑋 𝜎𝑋 𝑁𝑋 (𝑅) Γ𝐿 (𝑅)Γ𝑅𝑋 (𝜆𝑋 𝑅) 𝑅 h -Planck constant ν – light frequency c – speed of light λ – light wavelength H2 O Wavelength-λ [nm] q(R) – Water vapor/air mixing ratio C – Calibration constant ΔΓ – Differential atmospheric transmission µ – Constant, converts H2O/N2 to H2O/air mixing ratio Calibration against a reference instrument (radiosonde) Advantages • Simple • Easy comparison with the existing techniques • • • • 𝑰𝑵𝟐 (𝑹) 𝟏 𝑪 = 𝒒𝒓𝒆𝒇 (𝑹) 𝑰𝑯𝟐𝑶 (𝑹) 𝜟𝜞𝝀𝑵𝟐−𝝀𝑯𝟐𝑶 qref – Reference mixing ratio • • • Disadvantages Different air volumes sampled Different spatial and temporal resolution Auxiliary information (T or T & P profiles ) needed Additional systematic errors from the conversions -Relative humidity to mixing ratio -Dew point temperature to mixing ratio ΔΓ included in C Calibration not traceable to primary standards Calibration accuracy limited by the reference instrument accuracy Instrumental calibration 𝒌𝑵𝟐 𝝈𝑵𝟐 𝒌𝑯𝟐𝑶 𝝈𝑯𝟐𝑶 G. Vaughan et al. (1988) 𝜼𝑵𝟐 𝜺𝑵𝟐 𝝉𝑵𝟐 𝝀 𝝈𝑵𝟐 𝝀, 𝑹 𝒅𝝀 Sherlock et al. (1999) 𝑪=𝝁 𝑪(𝑹) = 𝝁 𝜼𝑯𝟐𝑶 𝜺𝑯𝟐𝑶 𝝉𝑯𝟐𝑶 𝝀 𝝈𝑯𝟐𝑶 𝝀, 𝑹 𝒅𝝀 4.50E-31 1 τ Raman cross section σ [cm2] 4.00E-31 3.50E-31 0.8 3.00E-31 0.6 2.50E-31 σ 2.00E-31 0.4 1.50E-31 1.00E-31 η – Photodetector efficiency ε - Optics efficiency τ - Spectral unit instrumental function τ 0.2 5.00E-32 0.00E+00 0 407 407.2 𝑪(𝑹) = 𝝁 407.4 407.6 Wavelength [nm] 𝜼𝑵𝟐 𝑹 𝜺𝑵𝟐 𝑹 407.8 408 𝝉𝑵𝟐 𝝀, 𝑹 𝝈𝑵𝟐 𝝀, 𝑹 𝒅𝝀 𝜼𝑯𝟐𝑶 (𝑹)𝜺𝑯𝟐𝑶 (𝑹) 𝝉𝑯𝟐𝑶 𝝀, 𝑹 𝝈𝑯𝟐𝑶 𝝀, 𝑹 𝒅𝝀 Is the lidar calibration constant constant? New instrumental calibration method 𝑪=𝝁 𝜼𝑵𝟐 𝜺𝑵𝟐 𝝉𝑵𝟐 𝝀 𝝈𝑵𝟐 𝝀 𝒅𝝀 𝜼𝑯𝟐𝑶 𝜺𝑯𝟐𝑶 𝝉𝑯𝟐𝑶 𝝀 𝝈𝑯𝟐𝑶 𝝀 𝒅𝝀 𝒒𝒓𝒆𝒇 = 𝒎𝑯𝟐 𝑶 𝒎𝒅𝒓𝒚 𝒂𝒊𝒓 = =𝒒𝒓𝒆𝒇 𝑰𝑵𝟐 𝑰𝑯𝟐𝑶 𝒎𝑯𝟐 𝑶 𝒑𝑴𝒂 𝑽 𝒁𝑹𝑻 mX – mass of X p – air pressure Ma – molecular mass of air V – cell volume T – air temperature z – compressibility factor Detection 266 nm beam Laser P, T RH D Gas inlet Evaporator Gas exit Ventilator Cell FOV “Telescope” Optical fiber W Spectral unit Laser beam Experimental setup P sensor output T, RH Beam output Laser beam Cell T, RH Gas inlet Ventilator Optical fiber Laser beam XYZ adjustable fiber holder Evaporator Calibration function Reference sample mixing ratio [g/kg] 16 14 y = 6.8924x - 1.5725 R² = 0.9985 12 10 8 Linear (fit) 6 4 2 0 0 0.5 1 1.5 Ratio of H2O/N2 Raman signals 2 2.5 Experimental uncertainties Parameter Value Uncertainty Cell length [m] 1.8 ±0.001 Cell width [m] 0.284 ±0.0005 Cell height [m] 0.300 ±0.0005 P [Pa] 97560 ±300 Ma [kg/mol] 0.0289654 ±5.0.10-8 R [J/molK] 8.31447 ±1.10-7 T [K| 299.2 ±0.3 Z 0.9971 ±0.0032 Liquid water mass [g] from 0.40 to 2.32 ±0.01 MR g/kg 2.387±0.058 6.182±0.0651 8.345±0.0712 10.714±0.0789 13.414±0.0890 Uncertainty % 2.42 1.05 0.85 0.73 0.66 Calculated RH Measured RH% % 10.66 11.92 29.11 30.4 38.76 39.4 48.13 50 60.01 60.4 High resolution Raman lidar Water vapor mixing ratio Spatial resolution 1.2 m Temporal resolution 1 s Operational distance 50-500m Whole hemisphere scanning ability Lake internal boundary layer Lidar Horizontal wind speed Wind direction v Vertical wind 28/08/08 18:45 28/08/08 19:00 Sodar 0 2 [m/s] 4 0 180 [°] -1 0 [m/s] 1 23 24 [°C] 25 Conclusion Results: • New method for first-principle calibration of a Raman lidar proposed • High accuracy and precision of the calibration constant possible • Calibration constant potentially traceable to primary standard of mass ? Potential applications: Operational water vapor observations for weather nowcasting and climatology Use as reference instrument for water vapor mixing ratio profiling in: • balloon sonde tests and intercomparison • GPS water vapor calibration HRSRL spectral unit 3 2 1 Raman lidar for meteorological observations RALMO Lidar Windows Laser Beam Aerosol / Temperature spectral unit Water Vapor spectral unit Telescope array Beam Expander Laser Power Supply Laser Water vapor Temperature Aerosol Time resol- 30 min Spatial resolution 30-300m Distance range Day 5 km Night 12 km Transciever RALMO Transmitter Nd:YAG laser 400 mJ & 355 nm 30 Hz rep. rate Beam expander 15 X Receiver Matrix telescope of four mirrors 30 cm in diameter 0.2 mrad FOV Polychromator RALMO RALMO specifications •Distance range 150 m-up to 5 km day/ 12km night •Temporal resolution 30 min (optional 10 min) • Spatial resolution - variable 15-300 m •Detection limit water vapor 0.05 g/kg •Temperature resolution 0.5 K •Aerosol extinction and backscatter coefficients at 355 nm •Statistical error < 10 % •Automatic operation and data treatment •Eye safe •Water vapor channel -Experimental operation since 2007 -Fully operational since 2008 •Temperature/aerosol channel operational since 2009 New calibration cell- design • • • • • • • Stainless steel- low wall deposition Can be evacuate to 10-4 torr Volume 72 liters Designed for precise weighing of dry air mass (uncertainty 0.02%) Total uncertainty of the mixing ratio < 0.05% Temperature stabilization from -30° C to +40°C (double-wall cell) Signal duration up to 200 ns