What is the use of Fourier Transforms in Optics?
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Simply put, you break analog signals down into sinusoidal functions. Thus a signal that is analog can be expressed as a bunch of specific sine functions.
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sure, what you want is an IR filter, which you can pretty easily get from any optics supplier.  here are a wide range of choices from melles-griot, but they're kinda expensive.  however they are quality professional-grade filters.\n\nhttp://shop.mellesgriot.com/products/optics/optics.asp?plga=051408&CatID=10222&mscssid=&Page=All\n\nhere are some cheaper versions with slightly less clean spectra, but probably still functional depending on your needs:\nhttp://shop.mellesgriot.com/products/optics/optics.asp?plga=085680&CatID=1023&mscssid=\n\nyou can probably get some for cheaper if you hunt around on the web.  just be careful you aren't getting the opposite of what you want - a stop-visible/pass-IR filter, which is used a lot in infrared photography.
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http://en.wikipedia.org/wiki/Fourier_optics\nhttp://www.supercrawler.com/Facts/fourier_optics.html\n\nYou can download a optics program to learn fournier opticas in\nhttp://www.aptrio.com/Education/Science/wave-optics-on-the-computer-download-12206.html\nGood luck
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Optical Spectrum Analyzer (OSA) is probably what you're looking for...nice for discovering chemical composition of light source and probably a zillion other different things.
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well.. refractive index is a function of frequency
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Frequency = speed of light/wavelength.\n\nMake sure you keep the units straight when performing the calculations or it may not make sense.\n\nSo for your problem its (3 x 10^17 )/200 = 1.5 x 10^15 Hz
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Because one of the main reasons of modulation is to shift a signal from one frequency band to another. Multiplication by a sinusoidal does this shifting directly because multiplication by a sinusoid in time domain is equivalent to a shift in frequency domain, this is one of the properties of fourier transform. Any other periodic signal other than a sinusoid will, in addition to the shift you want, introduce other "waste" or rubbish components at other frequency bands which may harm your system or someone else's. Got the point?
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Through the fourier map generator.
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One simple method is to take the fourier transform of the blurred image and the kernel. No divide transform of image by transform of kernel. In spatial domain this can be done by convolving the blurred image by the inverse of the kernel matrix.\n\nBut from textbooks on image processing, it becomes evident, that even if one has the actual kernel that was used to blurr the original image, it is difficult to reverse the process exactly.\n\nMoving on to a bit more advanced level, one can apply Minimum Mean Square Error filtering also known as Wiener Filtering. Disadvantage with the simple method shown above is that it does not always compensate for the noise produced in the image. This is were Wiener filter provides better results. It is based on objective of finding an estimate "est_I" of the original image I, so that mean square error between them is minimized. This error becomes\n\ne^2 = E[(I - est_I)^2]\n\nwhere E[] is the expected value of the argument.\n\nIf you search for practical implementation of wiener filter then I am sure you will find answer to how to actually implement it.\n\nI hope this was the answer you were looking for.
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Interferometry involves always at least two wave sources, one to be examined, and the other, with well-known, but controlled variable characteristics, for comparision of influence to the interference of those two waves. This is usualy used for detemination of radiance from a distant stellar objects in space. \n\nIf there are two controlled wave sources, thay can be used for examination of various phenomena that include interference. For instance, the two kinds of waves can be used for detection of inner cracks in massive materials, in a very easy but not very easily explainable way. Also, there is a specific kind of use of interferometry in microscopy of extremely small objects, like molecules of organic compounds. Two, or even trhee and four different waves are used for acquiring the 3D picture of a certaune object, such a macromolecule (in depth of a preparate) or metal crystal "grain" (superficial examination).\n\nInterferometry is widely used in medicine, for making 3D view of interior organs, by use of 2 ultrasound sources and a computer that decodes gathered informations and makes the 3D view. Thus, many bones deformations, tumors on organs and obstructions of the blood vessels can be seen, without a CT scanner or magnetic resonance device, which are many times more expensive than two-probe ultrasound apparatus.
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Uses the Doppler effect to detect frequency shifts in the transmitted pulse caused by the radial velocity of detected targets.  The echos is processed through a series of RF filters &, based on the amount of frequency shift & angle of approach, the radar can then determine the true target velocity.\n\nMostly used in weather apps.\n\nPS. the speed of light is normally rounded to 3*10^8 meters/sec or 300,000,000 m/s.  Also Doppler is a guy's name.  (Christian Johann Doppler 1803-1853 Austrian physicist)
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focal length = infinity\ncurvature  = 0
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Optical telescopes gather visible light and magnifies the image for visual clarity and optical analysis.\n\nOptical telescopes use lenses and mirrors.\n\nRadio telescopes gather radio signal emmited by extraterrestrial bodies and amplify them for analysis.\n\nRadio telescopes have antenna.\n\nRadio and optical signals are both electromagnetic in nature covering different frequency ranges in the spectrum.\n\nRadio waves cover a much bigger range of electromagnetic wave frequesncies -- thus a provides a lot more information for analysis.
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If nothing else,you can use this but I am not positive.  "A telescope can refract images."
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Fourier series are used throughout mathematics, physics and engineering. \n\nAll of the analysis of power systems and alternating current involve fourier series.\n\nRadio transmissions and frequency bands use fourier series\n\nSolving the wave equation, the heat equation, Maxwell's equation etc all can use fourier series to studies waves and heat and electromagnetism.\n\nFourier series is a standard tool in mathematics, in places like number theory (involved in producing secure communications).\n\nSonar systems use fourier series. Navigating submarines and finding other vessels is done use fourier series.\n\nRadar systems use fourier series. They are used for weather forecasting and speed guns used by the police.\n\nRepresenting a solution as a sum of sines and cosines is valuable whenever one is dealing with simple harmonic oscillators, which occur throughout physics. \n\nFourier series are the gateway to more sophisticated tools like Fourier transforms and other special function transforms. \n\nObviously, one could make a very long list. But his should give you some idea.
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FFT's are totally cool. Sometimes this mathematical method is run on a computer, and other times on a specialized signal-processing chip.\n\nIt is a high speed way to convert changing data, for example an audio signal (louder and softer), or a photo (pixels change as you look from point to point).\n\nThe FFT converts the data from the realm of  time (say for audio) or space (like for a still photo) into frequency. And it can also run the other way, and convert frequency data back.\n\nAll FFT techniques involve complex numbers. These numbers are represented as two 16 bit numbers. A 16 bit number has 65,536 possible combinations. Another way to describe this is that a 16 bit number has a "resolution" of 65,536 parts.\n\nDepending on what kind of data you are measuring, there are standard and also one-of-a-kind ways of converting analog information into a digital number.\n\nFor example, in the telephone industry, an international group called the CCITT sets the representation of audio signals into digital. A common standard is the CCITT recommendation G.711, "Pulse Code Modulation (PCM) of Voice Frequencies,".  This standard, voted on in Geneva, 1972 is still in widespread use in phones and audio.\n\nIn some cases, "proprietary" (private, one-of-a-kind) schemes are used to represent signal data in 16 bit binary numbers.\n\nUsually the FFT device could care less about WHAT your coding scheme is, it just chews up the incoming  16 bit pairs (16 bits for real component and a second 16 bits for the imaginary component) and spits out the answer. It is up to you to interpret the results based on your coding scheme.\n\nBest of luck!
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Study of data with respect to different spectral responses