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Optical properties of water and ice

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Title: Optical properties of water and ice  
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Optical properties of water and ice

Main article: Properties of water

The refractive index of water at 20°C is 1.332986. The refractive index of normal ice is 1.31. (From List of refractive indices.) In general, an index of refraction is a complex number with both a real and imaginary part, where the latter indicates the strength of absorption loss at a particular wavelength. In the visible part of electromagnetic spectrum the imaginary part of the refractive index is very small. However, water and ice absorb in infrared and close the atmospheric window thereby contributing to the greenhouse effect

The absorption spectrum of pure water is used in numerous applications, including light scattering and absorption by ice crystals and cloud water droplets, theories of the rainbow, determination of the single scattering albedo, ocean color, and many others.

Quantitative description of the refraction index

The real part of the index of refraction is described by the following expression: [1]

\frac{n^{2}-1}{n^{2}+2}(1/\overline{\rho })=a_{0}+a_{1}\overline{\rho}+a_{2}\overline{T}+a_{3}{\overline{\lambda}}^{2}\overline{T}+\frac{a_{4}}^{2}}+\frac{a_{5}}^{2}-{\overline{\lambda}}_{\mathit{UV}}^{2}}+\frac{a_{6}}^{2}-{\overline{\lambda }}_{\mathit{IR}}^{2}}+a_{7}{\overline{\rho}}^{2}

Where:

a_0=0.244257733
a_1=0.00974634476
a_2=-0.00373234996
a_3=0.000268678472
a_4=0.0015892057
a_5=0.00245934259
a_6=0.90070492
a_7=-0.0166626219
\overline T = \frac{T}{T^{\text{*}}}
\overline \rho = \frac{\rho}{\rho^{\text{*}}}
\overline \lambda = \frac{\lambda}{\lambda^{\text{*}}}
T^{\text{*}}= 273.15 K \rho^{\text{*}}= 1000 kg/m3
\lambda^{\text{*}} = 589 nm
\overline\lambda_{\text{IR}}=5.432937
\overline\lambda_{\text{UV}}=0.229202

And T is the absolute temperature of water (in K), \lambda is the wavelength, \rho is the density of the water and n is the index of refraction.

See also

Notes

References

  • R. M. Pope and E. S. Fry, Absorption spectrum (380-700 nm) of pure water. II. Integrating cavity measurements, Appl. Opt., 36, 8710-8723, 1997.
  • Mobley, Curtis D., Light and water : radiative transfer in natural waters; based in part on collaborations with Rudolph W. Preisendorfer, San Diego, Academic Press, 1994, 592 p., ISBN 0-12-502750-8
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