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The Electromagnetic Spectrum

Band

Radio-Frequency (RF)

Optical

High Energy

Metric

Frequency (f)

Wavelength (λ)

Energy (E)

f = c / λ = E / h

E = h * f = h * c / λ

h (Planck's Constant) = 6.626176 x 10-34 J/Hz

c = 299792458 m/s ~ 3 x 108 m/s

---------------------->

Increasing frequency
Decreasing wavelength
Increasing energy

The electromagnetic (EM) spectrum covers the continuum of all electromagnetic energy. I divide the electromagnetic spectrum into three generalized bands. The first is the radio-frequency or RF band. The second is the optical band and the third is the high energy band. The reason I divide the spectrum up in this way is due to how EM waves are discussed in the literature; specifically, the units used.

Electromagnetic signals consist of photons. A photon is a single, quantized packet of electromagnetic energy. The amount of energy is directly related to its frequency; the higher the frequency (meaning the shorter the wavelength), the more energy the photon possesses.

There are two important differences between these bands.

Units for the Spectrum

Electromagnetic waves are based upon the oscillation (back and forth) motion of electromagnetic fields. The spectrum is merely a way to divide up these oscillations based upon the rate of oscillation. The periodic nature of this motion can be measured one of three ways. The first is the frequency, which is merely the inverse of the period of the motion. The common unit for frequency is the hertz, which is abbreviated Hz. One Hz is equivalent to one cycle per second of the EM motion.

The distance that a wave travels in one cycle is known as the wavelength.
Wavelength in free space is:
λ = c / f
The wavelength is more easily remembered as:
λ = 300 / (Frequency in MHz) = wavelength in meters

The second unit is wavelength, or the distance that an EM wave will travel in one cycle. An EM wave moves through space at the speed of light, which is equivalent to 299,792,458 meters / second, typically just shortened to 3 x 108 meters / second. The faster the EM wave is oscillating, the shorter the distance it will travel before it completes one cycle. Wavelength can be expressed in any unit of length. The most common is the metric system unit of length, the meter. For example, a signal at a frequency of 1 Hz would have a wavelength of 3 x 108 meters. A signal with a frequency of 100 MHz (100 million hertz) would have a wavelength of only 3 meters (3 x 108 / 100 x 106 = 3).

The third unit that can be used is energy, or the amount of energy contained in the photons of which light is made up. The amount of energy is directly proportional to the frequency; the higher the frequency, the greater the energy and vice-versa. The relationship between frequency and energy is proportional to the Planck constant. This relationship is:

E = h f = h c / λ

where:

Another way to think of Planck's constant is by considering that an electromagnetic wave is made up of discrete particles of energy. The energy of each particle is dependent upon its frequency. The higher the frequency, the more energy each "particle" has. For example, consider an FM broadcast transmitter transmitting at a frequency of 90.9 MHz with an ERP (effective radiated power) of 100,000 watts. At this frequency, the energy per photon is E = h f = (6.626e-34 J s)(90.9e6 Hz) = 6.023e-26 J. The transmitter has an output power of 100,000 watts in the mainlobe. This means that, in the main lobe of the antenna, this transmitter will emit 1.660e+30 photons each second.

The three bands, RF, optical, and high energy, typically use frequency, wavelength and energy, respectively, as units of measurement.

The Radio-Frequency (RF) Band

The RF band is subdivided into smaller bands, from the extremely low frequency (ELF) band up to the extremely high frequency (EHF) band, going from lower frequency to higher frequency.

3
Hz

30
Hz

300
Hz

3
kHz

30
kHz

300
kHz

3
MHz

30
MHz

300
MHz

1
GHz

2
GHz

3
GHz

4
GHz

8
GHz

12.5
GHz

18
GHz

26.5
GHz

30
GHz

40
GHz

75
GHz

110 GHz

300 GHz

ULF

 

 

 

 

  

 

 

 

 

 

 

 

 

 

 

 

 

 

   
 

 ELF

 

VF

 

VLF

 

LF

 

MF

 

HF

 

VHF

 

UHF

 

L-Band

 

 

S-Band

 

SHF

 

C-Band

 

 

 

 

 

X-Band

 

Ku-Band

 

K-Band

 

Ka-Band

   

V-Band

 

W-Band

 

Millimeter Wave Band

 EHF

ELF = Extremely Low Frequency L-Band = Long Band = 1 - 2 GHz
VF = Voice Frequency S - Band = Short Band = 2 - 4 GHz
VLF = Very Low Frequency C - Band = Compromise Band = 4 - 8 GHz
LF = Low Frequency X - Band = "X Marks the Spot" Band = 8 - 12 GHz
MF = Medium Frequency Ku - Band = Under K (Kurtz = German for "short") Band = 12 - 18 GHz
HF = High Frequency K - Band = Kurtz Band = 18 - 27 GHz
VHF = Very High Frequency Ka - Band = Above Kurtz Band = 27 - 40 GHz
UHF = Ultra High Frequency V - Band = 40 - 75 GHz
SHF = Super High Frequency W - Band = 75 - 110 GHz
EHF = Extremely High Frequency Millimeter Wave Band = 110 - 300 GHz

RF Band

Name

Lower Frequency Limit

Higher Frequency Limit

Comments

ULF

Ultra low frequency

3 Hz

30 Hz

 

ELF

Extremely low frequency

30 Hz

300 Hz

Used to communicate with submarines as they patrol underwater.

VF

Voice frequency

300 Hz

3 kHz

Band where the majority of voice energy lies.

VLF

Very low frequency

3 kHz

30 kHz

Ultrasonics, carrier current transmitters

LF

Low frequency

30 kHz

300 kHz

MF

Medium frequency

300 kHz

3 MHz

AM broadcast band

HF

High frequency

3 MHz

30 MHz

Used for long-distance, over-the-horizon comms.

VHF

Very high frequency

30 MHz

300 MHz

FM broadcast band, television, aircraft comms, military portable satellite communications.

UHF

Ultra high frequency

300 MHz

3 GHz

Television, handheld radio, pagers, cell phones, wireless phones, wireless PDAs, satellite TV.

SHF

Super high frequency

3 GHz

30 GHz

 

EHF

Extremely high frequency

30 GHz

300 GHz

 
 

Radar Band

Name

Frequency Range Limits (GHz)

Discussion

L

Long

1 - 2

The original search radars were 1.3 GHz (23 cm), which became known as the "Long Band".

S

Short

2 - 4

Shorter radars operated at 10 cm (3 GHz), which became known as the "Short Band".

C

Compromise

4 - 8

The "Compromise" band was a compromise between the X-Band and S-Band systems.

X

"X Marks the Spot"

8 - 12

The original fire control radars used 3 cm (10 GHz), which was dubbed the X-Band for "X marks the spot".

Ku

Under Kurtz

12 - 18

"Kurtz" is the German word for "short". This was invented after the original "Kurtz" search radar would not work as designed.

K

Kurtz

18 - 27

The original German search radar operated at the frequency that was easily absorbed by water vapor. This meant it would not work in rain or fog.

Ka

Above Kurtz

27 - 40

 

V

 

40 - 75

 

W

 

75 - 110

 

mm

Millimeter

110 - 300

This is where terahertz waves (aka "T-waves") are located in the spectrum.

The Optical Band

Ultraviolet (UV) Band

Visible Band

Infrared (IR) Band

Extreme UV (EUV)

Shortwave UV (UVC)

Midrange UV (UVB)

Longwave UV (UVA)

SWIR

MWIR

LWIR

7 - 200 nm

200 - 300 nm

300 - 350 nm

350 - 380 nm

380 - 780 nm

0.78 - 2 μm

 2 - 7 μm

7 - 1000 μm 

The optical band is subdivided into three bands, the infrared (IR), the visible, and the ultraviolet (UV), going from longer wavelength (lower frequency) to shorter wavelength (higher frequency), respectively. As already noted, the optical band is divided by units of wavelength rather than frequency. Is it possible to divide it up by frequency? you might ask. Yes, it is. But, historically, scientists and engineers have used wavelength instead. The low end of this band starts where the EHF band stops, which is at 300 GHz. This corresponds to a wavelength of 1 mm, or 1000 um (micrometers, or a millionth of a meter), and is the beginning of the infrared ("infra" meaning "below", which means infrared stands for "below red").

The infrared band goes up in frequency (lower in wavelength) up to the beginning of the visible band, which starts at roughly 0.78 um, or 780 nm (nanometers, or billionths of a meter). The visible spectrum continues up to .38 um (380 nm), which is where the ultraviolet (UV) spectrum starts. The UV spectrum continues to about 7.0 nm, which is where the high energy band starts.

Each section of the optical band is further subdivided into smaller subbands. The infrared band is divided into three subbands, the shortwave, midwave and longwave. The visible band, since it is what we can actually see, is divided into subbands which we simply call colors. The colors typically used are red, orange, yellow, green, blue, indigo, and violet. The common acronym used to remember these colors is ROY G BIV. Finally, the ultraviolet is divided into longwave, midrange, shortwave and extreme subbands.

What's the Difference Between Infrared and Thermal?

This is a common question, or confusion, depending. The difference is that infrared simply refers to the region of the spectrum between the visible spectrum and the RF (radio-frequency) portion of the spectrum. The "zero lux" lights used on some cameras, such as video cameras, emit within the infrared region, but they're not thermal emissions. Thermal, on the other hand, refers to electromagnetic waves emitted by every body with a temperature greater than absolute zero. In other words, everything emits thermal. Now, depending on the temperature, the object may be emitting thermal energy in the infrared band. Most objects of which we humans are familiar, such as the earth itself, our homes, everything around us, is at roughly 300 K. This corresponds to emitting thermal energy based on a Planck curve with a maximum around 10 um (microns). This is right within the infrared band. To summarize, infrared refers to electromagnetic emanations between RF and visible light; thermal refers to EM radiation due to the heat of an object itself.

The High Energy Band

X-rays / Gamma Rays

≥ 5 eV

Okay, this is where we run into some problems. Once we get above the ultraviolet range, we're into photons that pack some high energy. Hence, I call this the high energy band. However, it's difficult to find any consensus on how this band is divided up, and where, precisely, it starts.

Where is the UV / high-energy dividing line?

Depends on who you ask. The International Organization of Standards (ISO) lists UV, x-rays and gamma rays as three, distinct bands defined by their wavelengths. The cut-off between UV and x-rays is said to be at 10 nm, which corresponds to a photon energy of 124 eV. Got that? The ISO, an international standards body, says the dividing line is at 124 eV. But the Canadian Centre for Occupational Health & Safety defines the dividing line between UV and x-rays as being at 100 nm (12.4 eV). So, we have a difference between two authoritative sources, the Canadian government and the ISO. Whom do we choose?

What is the difference between x-rays and gamma rays?

Again, just as with the previous question, it depends on your source. The good news is that all of the sources I've looked at agree that both x-rays and gamma rays are photons. Unfortunately, that appears to be as far as the agreement goes.

Outside of that, we have two schools of thought. The US government's EPA (Environmental Protection Agency) talks about the difference between x-rays and gamma rays as being due to their source. According to them, x-rays come from interactions with the electrons around the nucleus, while gamma rays emanate from within the nucleus. This is also the definition provided by the Department of Energy in their "Handbook for Radiation Safety Training". Specifically, they state:

X-rays and gamma rays are a form of electromagnetic radiation. X-rays differ from gamma rays in their point of origin. Gamma rays originate from within the atomic nucleus, whereas X-rays originate from the electrons outside the nucleus and from free electrons decelerating in the vicinity of atoms (i.e., bremsstrahlung).

This is also the definition used by the Nondestructive Testing (NDT) Resource Center, a consortium of companies involved in the NDT field. The Australian government also defines the difference between x-rays and gamma rays in this way.

Then there's the ISO which says that the dividing line between x-rays and gamma rays is not based on their origin, but their specific wavelength. In this case 0.001 nm (1.24 MeV). You might ask, "Well, is it possible that x-rays, even though they originate from the electron shell around the nucleus, only have energies less than 1.24 MeV? And gamma rays only have energies above 1.24 MeV, since they originate from the nucleus itself, and therefore would probably have more energy?" Unfortunately, the answer to that question is, "Nope. It doesn't work that way." The problem is that some atoms, when they decay, emit gamma rays (photons originating from the nucleus) at energies much less than 1 MeV. For example, iodine-125 emits gamma rays at 35.5 keV. And according to the ISO standard, the dividing line between x-rays and gamma rays occurs at 1.24 MeV. Again, which definition to use?

To summarize, the dividing line is either:

  1. the source of the photons, which is the electron shell for x-rays and the nucleus itself for gamma rays, -OR-
  2. the wavelength / energy of the photon, which is somewhere between roughly 10 eV and a couple hundred thousand eV.

As noted, the high energy band uses the units of energy. Your first question might be, "The energy in what?" Since we're talking about electromagnetic energy, the energy is transmitted by photons. Thus, we're talking about photon energy here. The relationship between frequency, wavelength, and photon energy is given by the following equations:

  1. E = h f = h c / λ
  2. h = 6.626176 x 10-34J/Hz (Planck's constant)
  3. c = 299792458 m/s (speed of light in a vacuum)

The typical unit for photon energy is electron-volts or eV. The simple equation between wavelength and energy is as follows:

EM energy that has the ability to remove an electron from an atom is called ionizing radiation. Different elements have different ionizing energies, and they range from roughly 4 - 15 eV.

Thus, since the high energy band starts where the optical band stops, which is about 250 nm, this corresponds to a photon energy of roughly 5 eV. It's important to understand why this is called the high energy band; the photons in this area are quickly getting to the point where they have enough energy to ionize atoms if they should come into contact with them. This is the reason that, starting at roughly 5 eV, electromagnetic radiation is called ionizing radiation. The effects of radiation below this level are much debated. The effects above this level are not. Radiation levels at this extreme energy range require strigent safety measures.

One aspect of this band needs to be understood, if only for clarity. In some cases, people talk about cosmic rays being above the gamma ray band. This is misleading as gamma rays are photons, while cosmic rays are particles. Mind you, they have lots of energy, but they're still particles, not electromagnetic radiation. Therefore, they should be considered separately from our discussions on the EM spectrum.