# Introduction to imaging spectrometers by William L. Wolfe By William L. Wolfe

Delivering an creation to imaging spectrometers, this article first studies the necessary history details in optics, radiometry, imaging, spectral sensing and focal aircraft arrays, then is going directly to speak about the rules of those topics and observe them to precise difficulties

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L. Wolfe, Introduction to Infrared System Design, SPIE Vol. TT24, 1996; W. L. Wolfe and G. J. , The Infrared Handbook, ERIM, 1989. 162. 1) where A d is the detector area, B is the effective noise bandwidth, P is the power on the detector, and SNR is the signal-to-noise ratio. 3) where N is the photon number, the rate times the integration time, and N,, is the rms number of internal noise electrons. Care must be exercised with the internal noise term, because sometimes the mean square, ms, value is cited, but other times the root mean square, rms, value is given.

F = f/D . 6) NA = nsin6 1/2 . 7) They are both measures of the cone of radiation impinging on the detector, and that is really the speed of the optical system. The projected solid angle related to each of these is itNA 2 5 = 7E 4F2 . 9) These relationships are shown in Fig. 2. It shows that the nicely corrected wave converges to the focus at an initial distance off. On the other hand, the distance from the edge of the lens to the focus is given by the Pythagorean theorem; it is the hypotenuse of the triangle formed by the focal length and half the diameter.

6). ). 5 µm). 01. The resolving power is 100. In the frequency domain, the center wavelength becomes a center frequency of o = 100,000 = 20,000 cm ' . 8) Then do = - Z = -. d) . 9) This leads to the relationship given above: that Q is the same in either wave number or wavelength units, and so is the relative resolution. It might be tempting to convert the bandwidth in wavelength to the frequency domain by writing do = 10,000/dA. 005 (= 200,000 cm')! 10} That makes more sense. 01. It is the same in both the wavelength and the frequency domains.