By Mark G. Kuzyk
This simple textual content examines the clinical ideas, characterization ideas, and fabrication equipment used to layout and convey prime quality optical fibers. Polymer Fiber Optics: fabrics, Physics, and purposes specializes in the elemental options that would proceed to play a job in destiny examine and functions. This ebook files the underlying physics of polymer fibers, rather points of sunshine interplay, and info the sensible concerns for a vast variety of characterization recommendations used to enquire new phenomena. The booklet offers uncomplicated fabrication recommendations and protocols that may most likely stay priceless as new advances handle particular processing demanding situations. the writer provides a clean method of usual derivations, utilizing quite a few figures and diagrams to collapse complicated strategies and illustrate theoretical calculations. the ultimate chapters draw awareness to the most recent instructions in learn and novel functions, together with photomechanical actuation, electro-optic fibers, and shrewdpermanent fabrics.
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Extra resources for Polymer Fiber Optics: Materials, Physics, and Applications
Sample text
19b) to obtain the transverse magnetic field as a function of the longitudinal electric and magnetic fields. 20) i (k0 n 2 zˆ × ∇t ez + β∇t h z ). 21) show that once the longitudinal fields are known the calculation of the transverse fields is straightforward. 21) that the transverse fields can be either real and the longitudinal fields imaginary, or vice versa. , [35]) that the transverse fields (et , ht ) are real and the longitudinal fields (ez , h z ) are imaginary. 12a), as follows: ∇ · [n 2 (x, y)E] = 0 ↓ E · ∇n 2 i ez = β + n2 ∇ · E = 0 ↓ 1 et · ∇t n 2 + ∇t · et .
In this picture, the rays reflect at the interface between the waveguide and the cladding due to total internal reflection. 1c shows a waveguide with a diameter that is comparable to the wavelength of light. Due to the effects of diffraction, a beam cannot be focused to a spot that is smaller than the wavelength. ) When the light couples into the guide, the intensity profile will settle into one mode or a combination of modes. A mode corresponds to a particular intensity profile. If only one mode is excited, the intensity profile will remain unchanged as the light guides down the fiber.
However, if the field’s vector components are referred to fixed Cartesian directions, the components are not coupled by the vector Laplacian. In this case, the vector Laplacian can be replaced by the scalar Laplacian ∇ 2 . 34) where the scalar transverse Laplacian ∇t2 is expressed in Cartesian coordinates. 36) for the longitudinal fields ez and h z . 21)) for any translationally invariant waveguide. We now proceed to solve them for a homogeneous step-index optical © 2007 by Taylor & Francis Group, LLC P1: Binaya Dash June 19, 2006 20:52 DK4264 book Light Propagation in a Fiber Waveguide 29 fiber.