Abstract
The central theme of the book “Observing Photons in Space” is the detection and characterization of photons with instruments aboard spacecraft. This chapter presents a global overview of the fundamental processes that accompany photons all the way from their origin in the source region to their detection in our instruments. The radiation of the Sun is taken as example in some cases and is treated in more detail.
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Notes
- 1.
This and other constants are taken from CODATA recommended values of the fundamental physical constants: 2006 (Mohr et al 2008), or when available from 2010 CODATA at http://physics.nist.gov/cuu/constants.
- 2.
In the following discussion, the notations ν and λ will be used to simplify the equations, unless emphasis is placed on the fact that mean values are considered in special cases.
- 3.
Follows from the definition of the SI base unit “metre”(BIPM 2006).
- 4.
A zero mass follows from the special theory of relativity and a speed of light in vacuum constant for all frequencies. Various methods have been used to constrain the photon mass to m ν < 10−49 kg (cf., Amsler et al 2008, Goldhaber and Nieto 1971). These authors also discuss the consequences of a finite mass for the existence of longitudinal electromagnetic waves.
- 5.
- 6.
- 7.
In equations related to Doppler shifts, there is a danger of confusing the frequency symbol, ν, with the relative speed between the inertial systems, v. Therefore, a subscript is used for v in all these cases. Note that \(\vert v_{\mathrm{S}}\vert <c_{0}\), cf., page 22.
- 8.
This situation was considered by Fermi (1932) for the non-relativistic case.
- 9.
- 10.
A typographical error in Einstein’s equation has been corrected in Equation 2.28.
- 11.
Note that certain materials exhibit a double refraction.
- 12.
- 13.
Telescopes usually collect radiation in the far-field region of a source, where the diffraction limit is of importance. In the near-field region, however, focusing beyond this limit is possible (cf., e.g., Lerosey et al 2007).
- 14.
- 15.
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Wilhelm, K., Fröhlich, C. (2013). Photons — from source to detector. In: Huber, M.C.E., Pauluhn, A., Culhane, J.L., Timothy, J.G., Wilhelm, K., Zehnder, A. (eds) Observing Photons in Space. ISSI Scientific Report Series, vol 9. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7804-1_2
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