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Solar Radiation: Spectrum

To understand solar radiation, we need to look beyond visible light and at entire electromagnetic spectrum as radiant emissions from the Sun can be encountered at almost all of these frequencies.

The Electromagnetic Spectrum

Electromagnetism refers to the radiation of tiny oscillating electric and magnetic fields, commonly called photons. Just like in the old high school experiment, where the flow of electric current through a coil of wire induces a magnetic field and the movement of a magnet inside a coil of wire induces an electric current, any movement of an electric charge through space induces a magnetic field. Similarly, a moving magnetic field induces an electric charge, a principle that forms the basis of almost all modern electricity generation. Thus a moving photon of electrical energy will induce a small moving magnetic field, which will in turn induce a small moving electric charge, and so on. The term electromagnetic is used to describe this backwards and forwards oscillation between electric to magnetic energy.

The speed at which these oscillations occur depends on the amount of energy being radiated by the source. A graphical representation of radiometric energy at a range of frequencies is called a spectrum. Different forms of electromagnetic radiant energy can be laid out to form a continuum from very low frequency radio waves all the way through to very high frequency cosmic rays. Taken as wavelengths, the electromagnetic spectrum ranges from around 1e5 metres (100km) for low frequency electric current to 1e-15 metres (0.000000000001 mm) for cosmic rays.

Figure 1 - The full spectrum of electromagnetic energy 
classified by wavelength.
Figure 1 - The full spectrum of electromagnetic energy classified by wavelength.

Radio and Radar Waves

These wavelengths represent the lowest end of the electromagnetic spectrum, though some would argue that alternating electrical current (AC) falls below. Radio and radar waves pass straight through the atmosphere relatively unimpeded and surround us constantly. Very high levels of exposure to this form of radiation has been linked to cancers in some animals (mainly laboratory mice for some reason). There was a story going around that, on very cold winter mornings during World War Two, British soldiers would gather in front of the large radar dishes at the major communications stations. As the upper end of this spectral band is often referred to as microwaves, there was a real reason why they felt a little warmer standing there.

Long Infra-red

Above radar waves is the long infra-red band, often called terrestrial radiation. These long, low energy wavelengths are the radiation emitted by terrestrial objects at terrestrial temperatures - between -10 and 100°C. Biological metabolisms also generate heat which radiates from the skin surface at these wavelengths.

Short-wave or Near Infra-red

Just above this is the near infra-red band. This is the range of frequencies that give the physical sensation of heat. It is termed near infra-red as it is quite close to the visible band, and causes the sensation of heating we feel on our skin when directly exposed to the Sun or an open flame. See the greenhouse effect topic for information on how the differences between short and long-wave radiation can be exploited to effectively heat buildings.

Visible Light

The black segment of the spectrum above represents visible light. Within this of course are all of the wavelengths that constitute the colours of the rainbow, from red at the bottom to violet at the top. If you are interested, to recall the major components of the visible spectrum (working from the lowest frequency to the highest) try to remember that guy called ROY G. BIV - (Red, Orange, Yellow, Green, Blue, Indigo and Violet).

NOTE: It used to be common to call the region between blue and violet "indigo". In modern usage however, indigo is not usually distinguished as a separate colour; thus you may sometimes see Roy without any vowels in his last name; hence "ROY G. BV".

Ultraviolet

Whilst overexposure to ultraviolet light has been linked to skin cancer, some exposure is necessary for the bodily production of certain vitamins, and to the healthy growth of plants. It is primarily UV radiation from the Sun that fades fabric and degrades many building material finishes.

X and Gamma Rays

Exposure to very high frequency X and gamma rays is dangerous to human beings, causing radiation sickness and cancers. Fortunately, gasses in the upper atmosphere absorb almost all of these frequencies from solar radiation before they reach the Earth's surface. It's the leakage from nuclear waste sites you really need to look out for.

Wave/Particle Duality

Electromagnetic radiation displays dual characteristics such that it can be simultaneously thought of as an energy wave or a series of tiny energy particles called photons. The wave theory of light was the classical interpretation of the 19th century. Scientists' enthusiasm for wave theory was temporarily dampened, however, by the discovery of the photoelectric effect toward the end of that century. In 1905, Albert Einstein showed how an idea that had recently been proposed by Max Planck could be used to explain the photoelectric effect. From Planck's theory comes the notion that light travels as a stream of little bundles of energy known as quanta.

Though quantum theory solved the photo-voltaic mystery, many physicists were incredulous that light could propagate as a beam of discrete packets of energy instead of like waves rippling through the pool of space. In 1924, Louis de Broglie was awarded the Nobel prize for his hypothesis that combined wave theory and particle (or quantum) theory. Depending on the wavelength, either the wave aspect or the particle aspect may be dominant. For example, radio waves are strictly wavelike, whereas cosmic rays behave almost exclusively like particles. With visible light, certain of its characteristics are best described by wave theory whilst others require a quantum approach. Thus it is said that light exhibits wave/particle duality.

Thus, light can be said to obey both normal wave motion:

Where:
c = Velocity in m/s,
W = Wavelength in m, and
f = Frequency in Hz.

And yet, each photon has an energy level given by:

Where:
E = Energy in Watts,
h = Planck's constant, and
v = Velocity in m/s.

Planck's constant has the value of 6.6256e-2 erg/sec. The velocity of light is assumed to be approximately 3e8 m/s or, more precisely, 299,724,000 m/s in air and 299,792,000 m/s in a vacuum.

The dividing line between different forms of radiant energy is not as sharp as the figures above may indicate. Rather, there is a gradual transition from one to another. Because of the reciprocal relationship between wavelength and frequency () radiant energy can be expressed in terms of either its wavelength or its frequency.

Classically, wavelength has been used to describe all forms of radiometric energy to the left of the infra-red/radar division. Radiometric energy to the right of this line is traditionally described in terms of its frequency. This dividing line between infra-red and radar is probably due to the physical size of the numbers when expressed in terms of wavelength or frequency. For example, electricity is most commonly designated in terms of its frequency, such as 50 Hz. However, it could also be designated in terms of its wavelength, which would be approximately 1e6 m.



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