By Ivan P. Kaminow
An creation to Electrooptic units goals to provide an creation to the electrooptic impression and to summarize paintings on units utilising the electrooptic impact. The ebook presents the mandatory heritage 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 e-book additionally describes the phenomenological description of tensor nonlinear dielectric houses of crystals, with emphasis at the electrooptic impression; gadget layout and alertness; and a list of linear electrooptic coefficients for varied elements. humans fascinated by the examine of electrooptic units will locate the textual content priceless.
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7) and In the event that Ek(t) = ^ ( 0 ) is a dc field, (6) and (7) contract to give PiM = Pi(o)a + 0) +Ρί(ωα - 0) = -εοΑ;·ι·(ωβ)Α^(ωα)/ΐ/Λςί·(ωαΚ(0),' (8) which is consistent with (2). In order to simplify the notation, a second-order nonlinear susceptibility Xijk has been defined such that13 (9) Pi(t) = eoXukE'jQEUt) where Ej(t) and Ek(t) represent the total fields polarized along xj and xk. , E'jif) = 2 ς,·(ω β )βχρ(-/ω β ί) + β^ωβ)&φ(-ΐωβή 4. NONLINEAR OPTICAL EFFECTS + ce , (10) 57 and similarly for E'k(t).
6. A plane wave polarized along the optic axis with amplitude Dx will propagate with wave number kx = om33/c and phase velocity c/n33, while a wave polarized along y with amplitude Dy has wave number ky = nu/c and velocity c/nu . For a positive uniaxial crystal, y and x are the slow and fast axes, respectively. An 3. LIGHT PROPAGATION IN ANISOTROPIC CRYSTALS 27 OPTIC AXIS Flg. 6 Biréfringent wave plate. c. denotes the complex conjugate. c. (2) We choose 2φ = — (kx + ky)L retardation Γ as for convenience and define the phase Γ = (*, - ky)L = 27rL(n33 - Λ „)/λ.
E. E. " Wiley, New York, 1969. REFERENCES 37 CHAPTER II NONLINEAR DIELECTRIC EFFECTS 1. Introduction In the preceding chapter, the dielectric medium was characterized by one of several alternative tensor constants: the dielectric constant Kih the impermeability Bij9 and the susceptibility χ,7. We noted that these parameters vary with frequency in the neighborhood of lattice and electron resonances and may have considerably different values at low frequencies below the lattice resonances and at high frequencies above these resonances.