An Introduction to Electrooptic Devices. Selected Reprints by Ivan P. Kaminow

By Ivan P. Kaminow

An advent to Electrooptic units goals to offer an creation to the electrooptic influence and to summarize paintings on units applying the electrooptic impression. The ebook offers the required historical past in classical crystal optics. The textual content then discusses themes together with crystal symmetry, the tensor description of linear dielectric homes, propagation in anisotropic media, and passive crystal optic units. The publication additionally describes the phenomenological description of tensor nonlinear dielectric homes of crystals, with emphasis at the electrooptic impact; equipment layout and alertness; and a list of linear electrooptic coefficients for numerous components. humans fascinated by the examine of electrooptic units will locate the textual content important.

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Ti2(C2) = -Tu2 = Tn2(E) = 0. 2. , 7^3). , Τ\23(σ) = T2l3 = (8) Tl23(E). Thus, (4) becomes 0 0 0 0 0 0 0 0 0 0 0 Tzi\ 0 7)21 0 Tm 0 Tm 0 0 0 0 0 0 0 (9) Î23 Î23 and in the contracted notation that takes account of the (ij ) permutation symmetry, the electrooptic tensor for 42m is 0 0 0 0 0 0 A-41 0 0 r4i 0 0 0 0 0 0 0 >*63 (10) The cubic 43m class, which describes GaAs, has a threefold axis C3 about <111), in addition to the C2 and σ elements of 42m. , ϋζ3ι = Τη3) and the only nonvanishing elements of the electrooptic tensor are r41 = r52 = r63.

The ellipticity is readily apparent in a coordinate system x', / along the principal axes of the ellipse V 2 i = JC' - / λ/V = * + / · (5) In this system, (4) becomes D(L) = Z)(0)[cos(r/2)cos ωίχ' - sin(r/2)sin œty']. 28 I. (6) CRYSTAL OPTICS During one optical cycle, the vector D(L) traces out an ellipse with radii cos(r/2) and sin(r/2). The sense of rotation of D(L) reverses when the sign of Γ changes and the wave is right- or left-handed, according to which hand must be used in order that the thumb point along k and the fingers curl with the rotation of D(L).

The inversion operation takes Tijk into (2) Tijk{I) = T'uk = -Tuk. But if the crystal is invariant under inversion, then Tijk{I) = Tijk(E) = Tijk (3) Equations (2) and (3) can be satisfied simultaneously only if Tijk = 0.. Hence, all third-rank tensors vanish identically in the 11 crystal classes that possess a center of inversion. Conversely, only crystals that lack a center of inversion can exhibit a linear Pockels electrooptic effect. Further reduction results from applications of other elements of a particular point group.

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