By Ivan P. Kaminow
An creation to Electrooptic units goals to provide an advent to the electrooptic impact and to summarize paintings on units using the electrooptic impact. The publication presents the required historical past in classical crystal optics. The textual content then discusses themes together with crystal symmetry, the tensor description of linear dielectric houses, propagation in anisotropic media, and passive crystal optic units. The booklet additionally describes the phenomenological description of tensor nonlinear dielectric houses of crystals, with emphasis at the electrooptic influence; equipment layout and alertness; and a list of linear electrooptic coefficients for numerous ingredients. humans thinking about the examine of electrooptic units will locate the textual content valuable.
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Then, for an isotropic medium, kx œ kd = k and we have the Bragg condition sin 0B = K/2k = Üc/ΙηωΫ (2) where 20B is the angle between kj and k d that gives maximum diffraction. If a sufficiently wide range of optical wave vector Ak or acoustic wave vector ΔΚ is present, for example, as a result of focusing the incident optical or acoustic beam, then the diffracted optical beam can be acoustically scanned by tuning Ω. However, only a fraction of the incident optical or acoustic beam will be effective in the process.
Finally, if light propagates along a  axis and the field is applied normal to that axis, the retardation is \J\nzr^\E independent of the orientation of E in the (111) plane. However, the axes of the elliptical section of the elipsoid rotate at half the rate at which the applied field rotates in the (111) plane. 4 For the tetragonal 42m class with the field E3 along the optic axis, the ellipsoid is (l/fii2i)(x? + xl) + (\/nh)x] + 2re3E3xxx2 and, with principal axes given by xx = (\/y/2)(x\ (x\ - xi), and x3 = x3, the ellipsoid becomes = 1 (12) + x'2), x2 = 0 Λ / 2 ) [(1//Ä) + r63E3]x\2 + [(l//i„) - r63E3]x?
C e . For up- and down-conversion, respectively, (11) gives Ρί(ωα + ωβ) = ie0xijk[ej(G)a)ek(iOß) + ej(œp)ek(œa)] = £oXijkej(œa)ek(œp) (12) and Ρι(ωα - ωβ) = eoXukej(œa)et(-œp). (13) Note that Σ ej(u)a)ek(a). jk Equation (11) assumes no dispersion in xuk. However, as we will show subsequently, the nonlinear coefficients rijk and xuk are functions of the frequencies of the three fields involved in each term. If ωγ is the frequency of the polarization component, then —ωγ + ωα + ωβ = 0 (14) where we allow the frequencies to take on positive and negative values to represent sum and difference interactions.
An Introduction to Electrooptic Devices. Selected Reprints and Introductory Text By by Ivan P. Kaminow