Difference between revisions of "Infrared" - New World Encyclopedia

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'''Infrared''' ('''IR''') is a term used for [[electromagnetic radiation|radiation]] that covers a certain band of [[wavelength]]s in the electromagnetic spectrum, ranging from a wavelength slightly longer than that of visible [[red]] [[light]] up to a wavelength slightly shorter than that of [[microwave]] radiation. The name means "below [[red]]," derived from the [[Latin]] word ''infra'', which means "below." (Red is the [[color]] of visible light of longest wavelength.) In numerical terms, IR radiation spans three orders of magnitude, with wavelengths between approximately [[1 E-7 m|750]] nanometers (nm) and 1 millimeter (mm).
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{{Copyedited}}{{Paid}}{{Submitted}}{{Images OK}}{{Approved}}
 
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[[Category:Public]]
 
[[Image:Infrared_dog.jpg|thumb|right|332px|Image of a small dog taken in mid-infrared ("thermal") light (false color).]]
 
[[Image:Infrared_dog.jpg|thumb|right|332px|Image of a small dog taken in mid-infrared ("thermal") light (false color).]]
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'''Infrared''' ('''IR''') is a term used for [[radiation]] in a particular, invisible region of the [[electromagnetic spectrum]], namely, between wavelengths slightly longer than that of visible [[red]] [[light]] and wavelengths slightly shorter than that of [[microwave]] radiation. The name (from the [[Latin]] word ''infra'', meaning "below") means "below red." In numerical terms, IR radiation spans wavelengths between approximately 750 nanometers (nm) and 1 millimeter (mm). IR radiation is useful for many applications, such as imaging of objects in the dark or through smoke; heating saunas and de-icing aircraft wings; short-range communications; and spectroscopic analysis of organic compounds.
 +
{{toc}}
  
 
== Discovery ==
 
== Discovery ==
  
The discovery of infrared radiation is commonly ascribed to the [[astronomer]] [[William Herschel]], in the early nineteenth century. When Herschel used a prism to [[refract]] light from the [[Sun]], he detected infrared radiation, beyond the [[red]] part of the spectrum, through an increase in temperature recorded on a [[thermometer]].
+
The discovery of infrared radiation is commonly ascribed to the [[astronomer]] [[William Herschel]], in the early nineteenth century. When Herschel used a prism to [[refract]] light from the [[Sun]], he detected infrared radiation, beyond the [[red]] part of the spectrum, through an increase in [[temperature]] recorded on a [[thermometer]].
 +
 
 +
== Infrared radiation and heat ==
 +
 
 +
Infrared radiation is popularly known as [[heat]] radiation. It should be noted, however, that IR radiation is a secondary effect of heat—it is not heat itself. Heat is a measure of translational energy (the energy of movement) of atoms and molecules of matter. "Thermal" sensors do not actually detect heat but they detect differences in IR radiation from objects.
 +
 
 +
Many physics teachers traditionally attribute all the heat from the Sun to infrared light. This is inexact—visible light from the Sun accounts for 50 percent of the heating, and electromagnetic waves of any frequency will have a detectable heating effect if they are intense enough. It is true, however, that objects at room temperature will emit heat mostly in the mid-infrared band (see [[black body]]).
 +
 
 +
==The Earth as an infrared emitter==
 +
 
 +
The [[Earth]]'s surface and clouds absorb visible and invisible radiation from the Sun and re-emit much of the energy as infrared back to the [[Earth's atmosphere|atmosphere]]. Certain substances in the atmosphere, chiefly cloud droplets and [[water]] vapor—but also [[carbon dioxide]], [[methane]], [[nitrous oxide]], [[sulfur hexafluoride]], and [[chlorofluorocarbons]]—absorb this infrared and re-radiate it in all directions, including back to Earth. In this manner, the "[[greenhouse effect]]" keeps the Earth's surface and atmosphere much warmer than if the infrared absorbers were absent from the atmosphere.
  
 
==Different regions of infrared==
 
==Different regions of infrared==
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This classification scheme, however, is not used universally. For instance, some studies use the following subdivisions: near IR (0.75–5 µm); mid IR (5–30 µm); and long IR (30–1,000 µm). Especially at the wavelengths used for telecommunications, the spectrum is further subdivided into individual bands, because of the limitations of detectors, amplifiers, and sources.  
 
This classification scheme, however, is not used universally. For instance, some studies use the following subdivisions: near IR (0.75–5 µm); mid IR (5–30 µm); and long IR (30–1,000 µm). Especially at the wavelengths used for telecommunications, the spectrum is further subdivided into individual bands, because of the limitations of detectors, amplifiers, and sources.  
  
Infrared radiation is popularly known as [[heat]] radiation, because many physics teachers traditionally attribute all the heat from the Sun to infrared light. This is inexact—visible light from the Sun accounts for 50% of the heating, and electromagnetic waves of any frequency will have a detectable heating effect if they are intense enough. It is true, however, that objects at room [[temperature]] will emit heat mostly in the mid-infrared band (see [[black body]]).
 
 
[[Image:Atmospheric transmittance infrared.gif|right|thumb|332px|Plot of atmospheric transmittance in part of the infrared region.]]
 
 
The common system of nomenclature is justified by human responses to IR radiation. Near IR is the region closest in wavelength to the radiation detectable by the human eye, mid and far IR are progressively farther from the visible region of the spectrum. Other definitions follow different physical mechanisms (such as emission peaks and water absorption), and the newest follow technical reasons, based on the sensitivity of detectors used. For instance, common [[silicon]] detectors are sensitive to about 1,050 nm, while the sensitivity of indium gallium arsenide starts around 950 nm and ends between 1,700 and 2,200 nm. (International standards for these specifications are currently not available.)
 
The common system of nomenclature is justified by human responses to IR radiation. Near IR is the region closest in wavelength to the radiation detectable by the human eye, mid and far IR are progressively farther from the visible region of the spectrum. Other definitions follow different physical mechanisms (such as emission peaks and water absorption), and the newest follow technical reasons, based on the sensitivity of detectors used. For instance, common [[silicon]] detectors are sensitive to about 1,050 nm, while the sensitivity of indium gallium arsenide starts around 950 nm and ends between 1,700 and 2,200 nm. (International standards for these specifications are currently not available.)
  
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* '''U-band''' 1,625–1,675 nm
 
* '''U-band''' 1,625–1,675 nm
  
==The Earth as an infrared emitter==
+
== Applications ==
 +
=== Thermography ===
 +
 
 +
Thermography, or thermal imaging, is a type of infrared imaging of objects. Because all objects emit IR radiation, and the amount of radiation emitted increases with temperature, it is possible to use specialized cameras (with IR sensors) to detect this radiation (and variations in the radiation) and produce images of objects. In the case of very hot objects in the near IR or visible region, this technique is called ''pyrometry''.
  
The [[Earth]]'s surface and the clouds absorb visible and invisible radiation from the Sun and re-emit much of the energy as infrared back to the [[Earth's atmosphere|atmosphere]]. Certain substances in the atmosphere, chiefly cloud droplets and [[water]] vapor—but also [[carbon dioxide]], [[methane]], [[nitrous oxide]]*, [[sulfur hexafluoride]]*, and [[chlorofluorocarbons]]*—absorb this infrared and re-radiate it in all directions, including back to Earth. In this manner, the "[[greenhouse effect]]" keeps the Earth's surface and atmosphere much warmer than if the infrared absorbers were absent from the atmosphere.
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Thermography does not depend on illumination of objects with visible light. Consequently, it is possible to "see" the environment even in the dark. In particular, warm objects—including humans and warm-blooded animals—stand out well against cooler backgrounds.
  
== Applications ==
+
Historically, thermography has been extensively used by military and security services. In addition, it is useful for a variety of other purposes. For example, [[firefighter]]s use it to see through [[smoke]], find persons, and localize hotspots of fires. Technicians who maintain power lines can locate overheating joints and parts, a telltale sign of their failure, to eliminate potential hazards. If thermal insulation becomes faulty, [[building construction]] technicians can see heat leaks, to improve the efficiencies of cooling or heating. Thermal imaging cameras are also installed in some luxury cars to aid the driver. Some physiological responses in humans and warm-blooded animals can also be monitored with thermographic imaging.[http://www.sadcom.com/night/night1.htm]
===Night vision===
 
Infrared is used in [[night-vision]] equipment, when there is insufficient [[visible light]] to see an object. The radiation is detected and turned into an image on a screen, hotter objects showing up in different shades than cooler objects, enabling the [[police]] and military to acquire thermally significant targets, such as [[human being]]s and [[automobile]]s. ''Also see [[Forward looking infrared]]''.  IR radiation is a secondary effect of heat; it is not heat itself.  Heat itself is a measure of the translational energy of an amount of matter. "Thermal" detectors do not actually detect heat directly but the difference in IR radiation from objects.  Military gunnery ranges sometimes use special materials that reflect IR radiation to simulate enemy vehicles with running engines. The targets can be the exact same temperature as the surrounding terrain, but they emit (reflect) much more IR radiation. Different materials emit more or less IR radiation as temperature increases or decreases, depending on the composition of the material.
 
  
[[Smoke]] is more transparent to infrared than to visible light, so [[firefighter]]s use infrared imaging equipment when working in smoke-filled areas.
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The appearance and operation of a modern thermographic camera is often similar to that of a [[camcorder]]. Enabling the user to see in the infrared spectrum is a function so useful that the ability to record the images is often optional. A recording module is therefore not always built-in.
  
 
===Other imaging===
 
===Other imaging===
[[Image:P1020168.JPG|thumb|300px|right|Infared light from the [[LED]] of a [[remote control]] as seen by a digital camera.]] In [[infrared photography]], [[infrared filter|infrared filters]] are used to capture the near-infrared spectrum. [[Digital camera]]s often use infrared [[blocker|blockers]].  Cheaper [[digital camera]]s and some [[camera phones]] which do not have appropriate filters can "see" near-infrared, appearing as a bright white colour (try pointing a TV remote at your digital camera).  This is especially pronounced when taking pictures of subjects near IR-bright areas (such as near a lamp), where the resulting infrared interference can wash out the image.  It is also worth mentioning '[[Terahertz_radiation|T-ray]]' imaging, which is imaging using far infrared or [[terahertz]] radiation.  Lack of bright sources makes terahertz photography technically more challenging than most other infrared imaging techniques.  Recently T-ray imaging has been of considerable interest due to a number of new developments such as [[terahertz time-domain spectroscopy]].
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[[Image:Blue_light.jpg|thumb|300px|right|Infared light from the [[LED]] of a [[remote control]] as seen by a digital camera.]]
  
===Thermography===
+
In [[infrared photography]], infrared filters are used to capture the near-infrared spectrum. [[Digital camera]]s often use infrared [[blocker|blockers]]. Cheaper digital cameras and some [[camera phones]] that do not have appropriate filters can "see" near-infrared, appearing as a bright white color. This is especially pronounced when taking pictures of subjects near IR-bright areas (such as near a lamp), where the resulting infrared interference can wash out the image.
Infrared radiation can be used to remotely determine the temperature of objects (if the emissivity is known). This is termed [[thermography]], or in the case of very hot objects in the NIR or visible it is termed [[pyrometry]]. Thermography (thermal imaging) is mainly used in military and industrial applications but the technology is reaching the public market in the form of infrared cameras on cars due to the massively reduced production costs.
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 +
It is also worth mentioning "T-ray" imaging, which is imaging using far infrared or [[terahertz]] radiation. Lack of bright sources makes terahertz photography technically more challenging than most other infrared imaging techniques.
  
 
===Heating===
 
===Heating===
Infrared radiation is used in [[infrared sauna]]s to heat the sauna's occupants, and to remove ice from the wings of [[aircraft]] (de-icing). It is also gaining popularity as a method of heating asphalt pavements in place during new construction or in repair of damaged asphalt. Infrared can be used in cooking and heating food as it does not heat the air around it, but the object that it's beams are emitting on.
+
 
 +
Infrared radiation is used for various heating purposes, such as for heating saunas and removing ice from the wings of [[aircraft]]. It is gaining popularity as a method of heating asphalt pavements in place during new construction, or in repairing damaged asphalt. It can also be used in cooking and heating food.
  
 
===Communications===
 
===Communications===
IR data transmission is also employed in short-range communication among computer peripherals and [[personal digital assistant]]s.  These devices usually conform to standards published by [[Infrared Data Association|IrDA]], the Infrared Data Association.  Remote controls and IrDA devices use infrared [[light-emitting diode]]s (LEDs) to emit infrared radiation which is focused by a plastic [[Lens (optics)|lens]] into a narrow beam.  The beam is [[modulation|modulated]], i.e. switched on and off, to encode the [[data]]. The receiver uses a [[silicon]] [[photodiode]] to convert the infrared radiation to an electric [[Current (electricity)|current]]. It responds only to the rapidly pulsing signal created by the transmitter, and filters out slowly changing infrared radiation from ambient light. Infrared communications are useful for indoor use in areas of high population density. IR does not penetrate walls and so does not interfere with other devices in adjoining rooms. Infrared is the most common way for [[remote control]]s to command appliances.
 
  
[[Free space optics|Free space optical]] communication using infrared [[laser]]s can be a relatively inexpensive way to install a communications link in an urban area operating at up to 4 Gigabit/s, compared to the cost of burying fiber optic cable.
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IR wavelengths can be used to transmit data in short-range communications, such as between computer peripherals and [[personal digital assistant]]s. These devices usually conform to standards published by the Infrared Data Association (IrDA).
  
Infrared lasers are used to provide the light for [[optical fiber]] communications systems. Infrared light with a wavelength around 1,330 nm (least [[Dispersion (optics)|dispersion]]) or 1,550 nm (best transmission) are the best choices for standard [[silica]] fibers.
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Infrared communications devices are useful for indoor use in areas of high population density. IR is the most common way for [[remote control]] devices to command appliances. This radiation does not penetrate walls and so does not interfere with other devices in adjoining rooms. Moreover, IR lasers are used to provide light for [[optical fiber]] communications systems.
  
 
===Spectroscopy===
 
===Spectroscopy===
[[Infrared spectroscopy|Infrared radiation spectroscopy]] is the study of the composition of (usually) [[organic compound]]s, finding out a compound's structure and composition based on the percentage transmittance of IR radiation through a sample. Different frequencies are absorbed by different stretches and bends in the [[molecular bond]]s occurring inside the sample. [[Carbon dioxide]], for example, has a strong absorption band at 4.2 µm.
 
 
== History ==
 
===Biological systems===
 
The [[pit viper]] is known to have two infrared sensory pits on its head. There is controversy over the exact thermal sensitivity of this biological infrared detection system.
 
 
* {{cite journal
 
| title = Thermal Modeling of Snake Infrared Reception: Evidence for Limited Detection Range
 
| author = B. S. Jones; W. F. Lynn; M. O. Stone
 
| journal = Journal of Theoretical Biology
 
| volume = 209
 
| issue = 2
 
| pages = 201-211
 
| year = 2001
 
| id = {{doi|10.1006/jtbi.2000.2256}}
 
}}
 
* {{cite journal
 
| title = Biological Thermal Detection: Micromechanical and Microthermal Properties of Biological Infrared Receptors
 
| author = V. Gorbunov; N. Fuchigami; M. Stone; M. Grace; V. V. Tsukruk
 
| journal = Biomacromolecules
 
| volume = 3
 
| issue = 1
 
| pages = 106-115
 
| year = 2002
 
| id = {{doi|10.1021/bm015591f}}
 
}}
 
 
  
 
+
[[Infrared spectroscopy|Infrared radiation spectroscopy]] is a technology used to find out the structures and compositions of (mainly) [[organic compound]]s, by examining the transmittance of IR radiation through the samples. It is based on the principle that a given compound absorbs certain frequencies of IR radiation, correlated with the stretching and bending of bonds within the molecules of the sample.
==See also==
 
 
 
*[[Night vision]]
 
*[[Infrared astronomy]]
 
*[[Infrared camera]]
 
*[[Infrared filter]]
 
*[[Infrared photography]]
 
*[[Infrared spectroscopy]]
 
*[[Infrared thermometer]]
 
*[[Thermography]]
 
*[[terahertz]] radiation
 
*[[Thermographic camera]]
 
*[[Infrared homing]]
 
  
 
==External links==
 
==External links==
 +
All links retrieved March 3, 2018.
  
===Journals===
+
*[http://www.sciencedirect.com/science/journal/13504495 Infrared Physics and Technology] (Elsevier)  
*[http://www.sciencedirect.com/science/journal/13504495 Infrared Physics and Technology] (Elsevier) (last access June 2005).
+
*[http://www.ocinside.de/html/modding/usb_ir_receiver/usb_ir_receiver.html How to build USB infrared receiver to remote control PCs]
 
 
===Web sites===
 
 
 
*[http://scienceofspectroscopy.info/wiki/index.php?title=Infrared_Spectroscopy Infrared Spectroscopy] NASA ''Open Spectrum'' wiki site.
 
*[http://www.irda.org/ IrDA]Organization that creates low cost infrared data interconnection standards.
 
*[http://www.ocinside.de/html/modding/usb_ir_receiver/usb_ir_receiver.html How to build an USB infrared receiver to remote control PCs]
 
*[http://imagers.gsfc.nasa.gov/ems/infrared.html Infrared Waves]Detailed explanation of infrared light.
 
*[https://ewhdbks.mugu.navy.mil/ U.S. Navy - Electronic Warfare and Radar Systems Engineering Handbook] Source of transmittance diagram and further information on electro-optics.
 
  
{{wiktionary}}
 
 
{{EMSpectrum}}
 
{{EMSpectrum}}
  
 
[[Category:Physical sciences]]
 
[[Category:Physical sciences]]
 
[[Category:Physics]]
 
[[Category:Physics]]
[[Category:Electromagnetic spectrum]]
 
  
<!---->
 
  
{{credit|55293551}}
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{{credit2|Infrared|55293551|Thermography|55116526}}

Latest revision as of 19:21, 5 March 2024


Image of a small dog taken in mid-infrared ("thermal") light (false color).

Infrared (IR) is a term used for radiation in a particular, invisible region of the electromagnetic spectrum, namely, between wavelengths slightly longer than that of visible red light and wavelengths slightly shorter than that of microwave radiation. The name (from the Latin word infra, meaning "below") means "below red." In numerical terms, IR radiation spans wavelengths between approximately 750 nanometers (nm) and 1 millimeter (mm). IR radiation is useful for many applications, such as imaging of objects in the dark or through smoke; heating saunas and de-icing aircraft wings; short-range communications; and spectroscopic analysis of organic compounds.

Discovery

The discovery of infrared radiation is commonly ascribed to the astronomer William Herschel, in the early nineteenth century. When Herschel used a prism to refract light from the Sun, he detected infrared radiation, beyond the red part of the spectrum, through an increase in temperature recorded on a thermometer.

Infrared radiation and heat

Infrared radiation is popularly known as heat radiation. It should be noted, however, that IR radiation is a secondary effect of heat—it is not heat itself. Heat is a measure of translational energy (the energy of movement) of atoms and molecules of matter. "Thermal" sensors do not actually detect heat but they detect differences in IR radiation from objects.

Many physics teachers traditionally attribute all the heat from the Sun to infrared light. This is inexact—visible light from the Sun accounts for 50 percent of the heating, and electromagnetic waves of any frequency will have a detectable heating effect if they are intense enough. It is true, however, that objects at room temperature will emit heat mostly in the mid-infrared band (see black body).

The Earth as an infrared emitter

The Earth's surface and clouds absorb visible and invisible radiation from the Sun and re-emit much of the energy as infrared back to the atmosphere. Certain substances in the atmosphere, chiefly cloud droplets and water vapor—but also carbon dioxide, methane, nitrous oxide, sulfur hexafluoride, and chlorofluorocarbons—absorb this infrared and re-radiate it in all directions, including back to Earth. In this manner, the "greenhouse effect" keeps the Earth's surface and atmosphere much warmer than if the infrared absorbers were absent from the atmosphere.

Different regions of infrared

IR radiation is often subdivided into narrower regions of the spectrum. The wavelength ranges according to the German Institute for Standardization (Deutsches Institut für Normung, DIN) are as follows:

  • near infrared, NIR or IR-A: 0.75–1.4 micrometers (µm), commonly used in fiber optic telecommunications;
  • short wavelength (shortwave) IR, SWIR or IR-B: 1.4–3 µm (water absorption increases significantly at 1.45 µm);
  • mid wavelength IR, MWIR or IR-C: also called intermediate-IR (IIR), 3–8 µm
  • long wavelength IR, LWIR or IR-C: 8–15 µm;
  • far infrared FIR: 15–1,000 µm.

This classification scheme, however, is not used universally. For instance, some studies use the following subdivisions: near IR (0.75–5 µm); mid IR (5–30 µm); and long IR (30–1,000 µm). Especially at the wavelengths used for telecommunications, the spectrum is further subdivided into individual bands, because of the limitations of detectors, amplifiers, and sources.

The common system of nomenclature is justified by human responses to IR radiation. Near IR is the region closest in wavelength to the radiation detectable by the human eye, mid and far IR are progressively farther from the visible region of the spectrum. Other definitions follow different physical mechanisms (such as emission peaks and water absorption), and the newest follow technical reasons, based on the sensitivity of detectors used. For instance, common silicon detectors are sensitive to about 1,050 nm, while the sensitivity of indium gallium arsenide starts around 950 nm and ends between 1,700 and 2,200 nm. (International standards for these specifications are currently not available.)

The boundary between visible and infrared light is not precisely defined. The human eye is markedly less sensitive to red light above 700 nm wavelength, but particularly intense light (such as from lasers) can be detected up to approximately 780 nm. The onset of infrared is defined (according to different standards) at various values between these two wavelengths, typically at 750 nm.

Telecommunication bands in infrared

Optical telecommunication in the near infrared is technically often separated into different frequency bands because of availability of light sources, transmitting/absorbing materials (fibers), and detectors.

  • O-band 1,260–1,360 nm
  • E-band 1,360–1,460 nm
  • S-band 1,460–1,530 nm
  • C-band 1,530–1,565 nm
  • L-band 1,565–1,625 nm
  • U-band 1,625–1,675 nm

Applications

Thermography

Thermography, or thermal imaging, is a type of infrared imaging of objects. Because all objects emit IR radiation, and the amount of radiation emitted increases with temperature, it is possible to use specialized cameras (with IR sensors) to detect this radiation (and variations in the radiation) and produce images of objects. In the case of very hot objects in the near IR or visible region, this technique is called pyrometry.

Thermography does not depend on illumination of objects with visible light. Consequently, it is possible to "see" the environment even in the dark. In particular, warm objects—including humans and warm-blooded animals—stand out well against cooler backgrounds.

Historically, thermography has been extensively used by military and security services. In addition, it is useful for a variety of other purposes. For example, firefighters use it to see through smoke, find persons, and localize hotspots of fires. Technicians who maintain power lines can locate overheating joints and parts, a telltale sign of their failure, to eliminate potential hazards. If thermal insulation becomes faulty, building construction technicians can see heat leaks, to improve the efficiencies of cooling or heating. Thermal imaging cameras are also installed in some luxury cars to aid the driver. Some physiological responses in humans and warm-blooded animals can also be monitored with thermographic imaging.[1]

The appearance and operation of a modern thermographic camera is often similar to that of a camcorder. Enabling the user to see in the infrared spectrum is a function so useful that the ability to record the images is often optional. A recording module is therefore not always built-in.

Other imaging

Infared light from the LED of a remote control as seen by a digital camera.

In infrared photography, infrared filters are used to capture the near-infrared spectrum. Digital cameras often use infrared blockers. Cheaper digital cameras and some camera phones that do not have appropriate filters can "see" near-infrared, appearing as a bright white color. This is especially pronounced when taking pictures of subjects near IR-bright areas (such as near a lamp), where the resulting infrared interference can wash out the image.

It is also worth mentioning "T-ray" imaging, which is imaging using far infrared or terahertz radiation. Lack of bright sources makes terahertz photography technically more challenging than most other infrared imaging techniques.

Heating

Infrared radiation is used for various heating purposes, such as for heating saunas and removing ice from the wings of aircraft. It is gaining popularity as a method of heating asphalt pavements in place during new construction, or in repairing damaged asphalt. It can also be used in cooking and heating food.

Communications

IR wavelengths can be used to transmit data in short-range communications, such as between computer peripherals and personal digital assistants. These devices usually conform to standards published by the Infrared Data Association (IrDA).

Infrared communications devices are useful for indoor use in areas of high population density. IR is the most common way for remote control devices to command appliances. This radiation does not penetrate walls and so does not interfere with other devices in adjoining rooms. Moreover, IR lasers are used to provide light for optical fiber communications systems.

Spectroscopy

Infrared radiation spectroscopy is a technology used to find out the structures and compositions of (mainly) organic compounds, by examining the transmittance of IR radiation through the samples. It is based on the principle that a given compound absorbs certain frequencies of IR radiation, correlated with the stretching and bending of bonds within the molecules of the sample.

External links

All links retrieved March 3, 2018.


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