Solar irradiance spectra#

A solar irradiance spectrum dataset provides the Sun’s irradiance spectrum at a Sun-Earth distance of 1 astronomical unit. Solar spectral irradiance data may come from observations—e.g. using a spectrometer onboard a satellite—or theoretical models such as the blackbody model, or from a combination of observation data and theoretical models.

Data access#

All solar irradiance spectrum datasets required by Eradiate are managed the data store (see Introduction for details).

Identifier format#

Identifiers for solar irradiance spectrum datasets (except blackbody_sun) are constructed based on the format {author}_{year}[-{extra}] where:

  • author denotes the author of the data set,

  • year stands for the year in which the data set was published,

  • extra (optional) includes additional information, such as a dataset spectral resolution.

Structure#

Solar irradiance spectrum datasets include one data variable:

  • the solar spectral irradiance (ssi)

and two dimension coordinates:

  • the wavelength (w),

  • the time (t).

Solar spectral irradiance data is tabulated against both wavelength and time.

Dataset metadata comply with the NetCDF Climate and Forecast (CF) Metadata Conventions and helps with data traceability by providing the following attributes:

  • history: the history of transformations that the original data has undergone

  • data_url: the URL where the original data has been downloaded from

  • data_url_datetime: the date and time at which the original data has been downloaded

Available datasets#

Available datasets#

Identifier

Range

Sampling resolution

Reference

blackbody_sun

[280, 2400] nm

0.1 nm

[Liou, 2002].

coddington_2022-1_nm

[202, 2730] nm

1 nm

[Coddington et al., 2022 (accepted)]

coddington_2022-0.1_nm

[202, 2730] nm

0.1 nm

[Coddington et al., 2022 (accepted)]

coddington_2022-0.025_nm

[202, 2730] nm

0.025 nm

[Coddington et al., 2022 (accepted)]

coddington_2022-0.005_nm

[202, 2730] nm

0.005 nm

[Coddington et al., 2022 (accepted)]

coddington_2022-fse

[0.115, 200] µm

0.001 nm

[Coddington et al., 2022 (accepted)]

coddington_2022-fse_binned

[0.115, 200] µm

1 nm

[Coddington et al., 2022 (accepted)]

coddington_2021-1_nm

[202, 2730] nm

1 nm

[Coddington et al., 2021]

coddington_2021-0.1_nm

[202, 2730] nm

0.1 nm

[Coddington et al., 2021]

coddington_2021-0.025_nm

[202, 2730] nm

0.025 nm

[Coddington et al., 2021]

coddington_2021-0.005_nm

[202, 2730] nm

0.005 nm

[Coddington et al., 2021]

meftah_2018

[165.0, 3000.1] nm

\(\leq 1\) nm

[Meftah et al., 2018]

solid_2017

[0.5, 1991.5] nm

\(\leq 16\) nm

[Haberreiter et al., 2017]

solid_2017-mean

[0.5, 1991.5] nm

\(\leq 16\) nm

[Haberreiter et al., 2017]

whi_2008-sunspot_active

[116.5, 2399.95] nm

0.1 nm

[Woods et al., 2008]

whi_2008-faculae_active

[116.5, 2399.95] nm

0.1 nm

[Woods et al., 2008]

whi_2008-quiet_sun

[116.5, 2399.95] nm

0.1 nm

[Woods et al., 2008]

thuillier_2003

[200, 2397] nm

1 nm

[Thuillier et al., 2003]

thuillier_2003-extrapolated

[200, 2500] nm

1 nm

[Thuillier et al., 2003]

Below is a brief description of each of the available solar irradiance spectrum datasets.

blackbody_sun#

A theoretical irradiance spectrum, based on Planck’s law for the blackbody spectral radiance:

\[L_{\lambda}(T) = \frac{2hc^2}{\lambda^5 (e^{hc/k\lambda T} - 1)}\]

where \(h\) and \(k\) are the Planck and Boltzmann constants respectively, \(c\) is the speed of light in a vacuum, \(\lambda\) is the wavelength, with a blackbody temperature \(T\) of 5800 K—which is roughly the temperature of the Sun’s photosphere. The envelope of the Sun’s irradiance spectrum approximates that of a blackbody radiator. While converting from spectral radiance to spectral irradiance, using the equation:

\[\phi_{\lambda}(T) = \frac{\pi R^2}{D^2} L_{\lambda} (T)\]

the radius of the blackbody (\(R\)) is set to the solar radius constant (\(695.7 \cdot 10^6\) km) and the distance of the blackbody to the Earth (\(D\)) is set to 1 astronomical unit (\(149.5978707 \cdot 10^6\) km) which is the average Sun-Earth distance. The wavelength range extends from 280 nm to 2400 nm to cover Eradiate’s wavelength range.

coddington_2022-*#

This is the version 2 of the Total and Spectral Solar Irradiance Sensor-1 (TSIS-1) Hybrid Solar Reference Spectrum (HSRS).

  • Wavelength range (in vacuum): 202 nm to 2730 nm

  • Spectral resolution: 0.01 nm to ~0.001 nm (variants are also provided at lower, fixed, spectral resolution).

  • Time range: representative of a 1-week average from Dec 1, 2019 to Dec 7, 2019

  • Uncertainty:
    • \(\leq 400\) nm: 1.3%

    • [400, 460] nm: 0.5%

    • [460, 2365] nm: 0.3%

    • \(\geq 2365\) nm: 1.3%

coddington_2022-fse*#

This is the Full Spectrum Extension (FSE) of the version 2 of the Total and Spectral Solar Irradiance Sensor-1 (TSIS-1) Hybrid Solar Reference Spectrum (HSRS).

  • Wavelength range (in vacuum): 0.115 µm to 200 µm

  • Time range: representative of a 1-week average from Dec 1, 2019 to Dec 7, 2019

  • Uncertainty:
    • [0.115, 0.202] µm: [2, 15] %

    • [0.202, 0.4] µm: 1.3%

    • [0.4≤0.46] µm: 0.5%

    • [0.46, 2.365] µm: 0.3%

    • [2.365, 2.73] µm: 1.3%

    • [2.73, 100] µm: [1, 8] %

    • [100, 200] µm: 8%

coddington_2021-*#

The Total and Spectral Solar Irradiance Sensor-1 (TSIS-1) Hybrid Solar Reference Spectrum (HSRS) combines data from the TSIS-1 Spectral Irradiance Monitor (SIM), CubeSat Compact SIM (CSIM), Air Force Geophysical Laboratory ultraviolet solar irradiance balloon observations, ground-based Quality Assurance of Spectral Ultraviolet Measurements In Europe Fourier transform spectrometer solar irradiance observations, Kitt Peak National Observatory solar transmittance atlas and the semi-empirical Solar Pseudo-Transmittance Spectrum atlas.

In March 2022, it was recommended as the new solar irradiance reference spectrum standard by the Committee on Earth Observation Satellites (CEOS) Working Group on Calibration and Validation (WGCV).

  • Wavelength range (in vacuum): 202 nm to 2730 nm

  • Spectral resolution: 0.01 nm to ~0.001 nm (variants are also provided at lower, fixed, spectral resolution).

  • Time range: representative of a 1-week average from Dec 1, 2019 to Dec 7, 2019

  • Uncertainty:
    • \(\leq 400\) nm: 1.3%

    • [400, 460] nm: 0.5%

    • [460, 2365] nm: 0.3%

    • \(\geq 2365\) nm: 1.3%

meftah_2018#

A reference solar irradiance spectrum based on observations from the SOLSPEC instrument of the SOLAR payload onboard the internationial space station. The spectrum was built using observation data from 2008 for the [165, 656] nm wavelength range and from 2010–2016 for the [656, 3000] nm wavelength range. The spectrum is said to be representative of the 2008 solar minimum which corresponds to the end of the solar cycle 23 and the beginning of the solar cycle 24.

  • Wavelength range: [165.0, 3000.1] nm.

  • Resolution: better than 1 nm below 1000 nm, and 1 nm in the [1000, 3000] nm wavelength range.

  • Absolute uncertainty: 1.26 % (1 standard deviation).

  • Total solar irradiance: 1372.3 ± 16.9 W/m² (1 standard deviation).

solid_2017#

An observational solar irradiance spectrum composite based on data from 20 different instruments. The dataset provides daily solar irradiance spectra from 1978-11-7 to 2014-12-31.

  • Wavelength range: [0.5, 1991.5] nm.

  • Resolution: variable, between 1 and 16 nm.

See also the Cal/Val Portal of the Committee on Earth Observation Satellites.

solid_2017-mean#

A time-average of the solid_2017 dataset over all days from 1978-11-7 to 2014-12-31.

whi_2008-*#

A combination of simultaneous satellite observations from the SEE and SORCE instruments (from 2008-03-25 to 2008-04-16) onboard the TIMED satellite and a prototype EVE instrument onboard a sounding rocket launched on 14 April 2008. Representative of solar cycle minimum conditions.

  • Wavelength range: [116.5, 2399.95] nm (the wavelengths [0.5, 116.5] nm are cut off).

  • Resolution: 0.1 nm.

The WHI campaign produced three spectra, corresponding to three time periods:

  • whi_2008-sunspot_active: from 2008-03-25 to 2008-03-29, “sunspot active” spectrum. Total solar irradiance: 1360.70 W/m².

  • whi_2008-faculae_active: from 2008-03-29 to 2008-04-4, “faculae active” spectrum. Total solar irradiance: 1360.94 W/m².

  • whi_2008-quiet_sun: from 2008-04-10 to 2008-04-16, “quiet sun” spectrum. Total solar irradiance: 1360.84 W/m².

thuillier_2003#

A reference solar irradiance spectrum based on observations from the SOLSPEC instrument during the ATLAS-1 mission (from 1992-03-24 to 1992-04-02) and the SOSP instrument onboard the EURECA satellite (from 1992-8-7 to 1993-7-1), and on the Kurucz and Bell (1995) synthetic spectrum.

  • Wavelength range: [200, 2397] nm.

  • Resolution: 1 nm.

The mean absolute uncertainty is of 2 to 3 %. The spectrum is representative of moderately high solar activity. When contributions from the wavelength region \([0, 200[ \, \cup \, ]2397, +\infty[\) nm are added, the total solar irradiance evaluates to 1367.7 W/m². In [200, 2397] nm, the integrated solar irradiance spectrum evaluates to 1315.7 W/m².

thuillier_2003-extrapolated#

A version of the thuillier_2003 spectrum extrapolated to 2500 nm so that it covers the wavelength range from 200 to 2500 nm. The figure below illustrates the original and extrapolated versions and highlights the extrapolation region.

../../../_images/thuillier_2003_extrapolated.svg

Note

For the reference, we provide below the values of the integrated original and extrapolated solar irradiance spectra, evaluated by integrating the irradiance spectrum along wavelength using the trapezoidal rule.

\[ \begin{align}\begin{aligned}\begin{split}\int_{200 \, \mathrm{nm}}^{2397 \, \mathrm{nm}} I_{\mathrm{original}} (\lambda) \, \mathrm{d} \lambda = 1315.68 \, \mathrm{W / m^2} \\\end{split}\\\int_{200 \, \mathrm{nm}}^{2500 \, \mathrm{nm}} I_{\mathrm{extrapolated}} (\lambda) \, \mathrm{d} \lambda = 1321.72 \, \mathrm{W / m^2}\end{aligned}\end{align} \]

Since the wavelength range is larger for the extrapolated irradiance spectrum, the corresponding integrated solar irradiance is also larger (by 0.46 %).