By Arun Kumar
This booklet covers the elemental recommendations and techniques eager about polarization of sunshine, and lines very important tools of research resembling Jones matrices, Stokes parameters, and Poincar?© sphere. It presents the history had to comprehend the workings of, and to layout, numerous photonic units, together with Faraday rotators, inline fiber optic elements reminiscent of polarizers, wave plates, and polarization controllers, and polarimetric sensors reminiscent of fiber optic present sensors. Birefringence and the phenomenon of polarization mode dispersion (PMD) in single-mode fibers also are coated. The dialogue of thoughts is succinct, and the presentation of tools contains concrete examples, making the publication an amazing textual content for college students and an invaluable source for engineers.
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Additional info for Polarization of Light With Applications in Optical Fibers (SPIE Tutorial Texts Vol. TT90)
Example text
Ii) Convert a linearly polarized beam making an angle of +45 deg (or –45 deg) with the fast axis to a left- (or right-) circularly polarized beam. 8 Obtain the output SOP when a left-elliptically polarized beam is passed through a QWP whose fast axis is aligned with the major axis of the ellipse. Solution: Let the incident SOP be represented by a polarization ellipse with semi-major and semi-minor axes as a and b and with its major axis at angle θ with the x axis. At the input end (z = 0) of the QWP, the SOP can be written in terms of its major and minor axes (for instance, ξ and η) components as E ( z 0) a cos t , E ( z 0) b sin t .
24 Chapter 3 Knowing Eξ and Eη, we can obtain any two orthogonal linearly polarized components describing the given elliptical SOP. For example, if the ξ axis is at an angle θ with respect to the x axis (Fig. 21) Ey E sin E cos . 22) In this way, we can obtain any pair of orthogonal linear components describing a given elliptical SOP. Conversely, when two orthogonal and linearly polarized components of arbitrary amplitudes and phase difference superimpose, the resultant SOP is, in general, elliptical, as discussed in the following section.
36), and Eq. 35) by Eq. 37), and add to give ab ax a y sin . 45) Using Eq. 40), the preceding equation can be put in the following form: 2a a 2ab 2 x y2 sin . 5 Geometrical representations of angles (a) α, θ, and (b) χ. 47) Eq. 46) can be put in the form sin 2 sin 2 sin . 48) The angle χ (–π/4 ≤ χ ≤ π/4), known as the ellipticity angle, is a measure of both ellipticity as well as the sense of rotation of the resultant SOP. A positive (negative) value of χ corresponds to a negative (positive) sign in Eq.
