Category talk:03 Electromagnetic radiation
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Q=\frac{h*c}{\lambda} | Q=\frac{h*c}{\lambda} | ||
\end{equation} | \end{equation} | ||
| − | The longer the wavelength involved, the lower is the radiant energy of EMR. | + | The longer the wavelength involved, the lower is the radiant energy of EMR and the lower the frequency. |
Electromagnetic energy is produced whenever a charged particle such as an electron or a nuclei of an atom changes its velocity and internal energy status. Every substance with a temperature above the absolute zero (0 K or -273.16°C) produces radiant energy and emits EMR in a continous spectrum of wavelengths. The higher the temperature the higher is the motion of electrons, molecules and atoms. Not all materials heated to the same temperature emit the same amount and spectral composition of EMR. This is not the case for an hypothetical perfect absorber and re-emitter of energy. Such an object is called blackbody which absorbs and emits all radiation of all wavelenghts. Plank's equation (3) describes the radiant spectral exitance of a blackbody at a certain wavelenght with absolute temperature. | Electromagnetic energy is produced whenever a charged particle such as an electron or a nuclei of an atom changes its velocity and internal energy status. Every substance with a temperature above the absolute zero (0 K or -273.16°C) produces radiant energy and emits EMR in a continous spectrum of wavelengths. The higher the temperature the higher is the motion of electrons, molecules and atoms. Not all materials heated to the same temperature emit the same amount and spectral composition of EMR. This is not the case for an hypothetical perfect absorber and re-emitter of energy. Such an object is called blackbody which absorbs and emits all radiation of all wavelenghts. Plank's equation (3) describes the radiant spectral exitance of a blackbody at a certain wavelenght with absolute temperature. | ||
Revision as of 11:39, 27 October 2013
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Contents |
Basic physical equations
Life on earth would be impossible without solar energy. The source of the sun's energy are nuclear fusion processes of hydrogen to helium. Electromagnetic radiation (EMR) is generated on the hot surface of the sun and carries solar energy through the space to the earth.
The phenomenon of EMR can be explained by two physical theories at the same time: the wave theory and the quantum theory.
EMR can be seen as a wave with time-varying electric (E) and magnetic fields (B). These vector fields have a sine waveform, are oriented at right angles at each other and oscillate perpendicular to the direction of wave travel (Fig. 1). Waves are characterized by
- wavelength $\lambda$ = the distance between adjacent wave peaks measured in the unit lengths nanometer (1nm = 1x10-9m) or micrometer(1 mm=x 10-6m)
- frequency f = number of peaks passing a fixed point in a given period of time measured in the unit Hertz (1 Hz = 1 cycle per second)
- Amplitude A = height of each peak and often measured as energy level (e.g. spectral irradiance (Watt per m2 per micrometer)).
In remote sensing $ \lambda $ and f are used to divide the electromagnetic spectrum in main divisions.
No medium is needed for the propagation of EMR waves. The speed of light c in vacuum \begin{equation} c=\lambda*f \end{equation} is a universal constant (c $\approx$ 300 000 kilometer per second). Taking the mean distance between sun and earth ($\approx$ 150 000 000 km) it takes $\approx$ 8 minutes until solar EMR reaches the earth.
In the quantum theory EMR is composed of discrete packets of energy known as photons or quanta. They have no mass. Planck's formula allows to calculate the energy transported by a photon : \begin{equation} Q=h*f \end{equation} where Q=radiant energy of a photon measured in Joule [J] h = Planck‘s constant (6.626x10-34 Joule-Second J sec) f = frequency [h]
Combining eq(1) and eq(2) gives \begin{equation} Q=\frac{h*c}{\lambda} \end{equation} The longer the wavelength involved, the lower is the radiant energy of EMR and the lower the frequency.
Electromagnetic energy is produced whenever a charged particle such as an electron or a nuclei of an atom changes its velocity and internal energy status. Every substance with a temperature above the absolute zero (0 K or -273.16°C) produces radiant energy and emits EMR in a continous spectrum of wavelengths. The higher the temperature the higher is the motion of electrons, molecules and atoms. Not all materials heated to the same temperature emit the same amount and spectral composition of EMR. This is not the case for an hypothetical perfect absorber and re-emitter of energy. Such an object is called blackbody which absorbs and emits all radiation of all wavelenghts. Plank's equation (3) describes the radiant spectral exitance of a blackbody at a certain wavelenght with absolute temperature.
The curves are used to approximate the spectral exitance distributon of the earth and the sun.
The electromagnetic spectrum
Visible Optical
Sources of EMR
Interaction of EMR with the atmosphere
Why is the sky blue? Why is the sun red at sunset? When can we see a rainbow?
