Infrared waves are low level light that is emitted by objects too cool to radiate visible light. Infrared waves are not visible normally. However, they are visible using special cameras that "see" infrared waves. The wavelength of infrared waves varies between 10e-6 and 10e-3 meters long. The frequency varies between 2.481e14 and 3.171e11 Hz. Infrared waves are used for detecting low level light. Thermal imaging cameras are really infrared wave detectors. these types of cameras are used in many forms. Night vision goggles are infrared light detectors. Also, these cameras are used in telescopes to see through the dust around stars, such as nebulae, and see the stars themselves.
Another type of waves are gamma-rays. Gamma-rays have the shortest wavelengths, from 5.577e-12 meters and shorter. They have the highest frequency, from 5.376e19 Hz and higher. Gamma-rays are only emitted by the hottest objects in the universe, such as pulsars, neutron stars, supernovas, and the areas around black holes. They are detected on Earth in nuclear explosions, lightning, and radioactive decay. Gamma-rays are used in radiation therapy. Also, they are used to map out galaxies and supernovas. Gamma-rays can even show what molecules on planet's surface are made of.
And, as always, a Tagxedo of the seven types of waves:

Introduction information: http://imagine.gsfc.nasa.gov/docs/science/know_l1/emspectrum.html
Information about infrared waves: http://missionscience.nasa.gov/ems/07_infraredwaves.html
Information about gamma-rays: http://missionscience.nasa.gov/ems/12_gammarays.html
Wavelengths and frequencies: http://lectureonline.cl.msu.edu/~mmp/applist/Spectrum/s.htm