By E. G. Steward
A straightforward advent to the Fourier ideas at the back of glossy optics, this article is acceptable for complex undergraduate and graduate scholars. subject matters contain the Fraunhofer diffraction, Fourier sequence and periodic constructions, Fourier transforms, optical imaging and processing, photo reconstruction from projections (medical imaging), and interferometry and radiation resources. recommendations. 1989 version.
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Additional info for Fourier Optics: An Introduction
If the p u m p and signal (or idler, respectively) waves only are guided optical modes, the spectrum of the guided fluorescence broadens. D u e to the continuum of substrate modes with a corresponding continuum of different wave vectors a band of emission frequencies is allowed. It is separated from the frequency of the 'all-guided' fluorescence by a small gap which depends on the waveguide structure. The overlap of the interacting modes determines the wavelength dependent intensity (schematically drawn in fig.
Both results demonstrate that high-gain cw amplifiers, as needed for fiber optical communication, cannot be designed on the basis of nonlinear T i : L i N b 0 3 optical waveguides for parametric amplification. F o r such an application new materials of larger nonlinearity have to be found or developed (see section 3). Nevertheless, there is one important application also of small parametric amplification, if the nonlinear waveguide is positioned inside an optical resonator: if then the parametric gain exceeds the roundtrip losses of an optical wave, parametric oscillation at signal and idler frequencies starts from noise (from spontaneous parametric fluorescence).
Therefore, it is of interest to analyze the spectral ranges accessible by D F G in L i N b 0 3 . Figure 33 presents the tuning characteristics for parametric three-wave interactions (including S H G , sum frequency generation, D F G and parametric amplification and oscillation) as signal and idler (vacuum) wavelengths versus the p u m p (vacuum) wavelength. These characteristics include energy (1/λρ = 1/ÀS + l/zlj) and wave vector conservation (ηρ/λρ = nJXs + n-JÀ^; parameter is the crystal (waveguide) temperature, which changes the indices of refraction and in that way the phase-match wavelengths.
Fourier Optics: An Introduction by E. G. Steward