Determine expression for the bound ray, Physics

 A symmetric, multimode slab waveguide has a core width 2ρ, a uniform cladding index ncl and a linear, graded-index profile n(x) in the core that is continuous and symmetric about the z-axis. The variation in the x-direction is defined by 

426_determine expression for the bound ray.png

where nco is the maximum index on the z-axis, Δ is the relative index difference with the usual definition and the x-axis is orthogonal to the z-axis of symmetry of the waveguide.

(a)   Substitute the above profile into the second-order differential equation as given in  lectures and solve the equation to determine the curved bound ray paths for x as a  function of z. Assume that all ray paths are periodic and start at x=z=0. The initial angle the ray path makes with the z-axis at x=0 is θz, i.e. dx/dz=tanθz at z=0.

(b)   Sketch approximately the shape of a bound ray path along the waveguide. 

(c) Use (a) to determine an expression for the bound ray half-period zp, i.e. the distance between successive crossing points on the z-axis.

(d) Determine the range of values of θz for all bound rays within the core, i.e. those ray paths that do not reach the core-cladding interface and therefore satisfy |x|<ρ.

Posted Date: 2/21/2013 5:32:31 AM | Location : United States







Related Discussions:- Determine expression for the bound ray, Assignment Help, Ask Question on Determine expression for the bound ray, Get Answer, Expert's Help, Determine expression for the bound ray Discussions

Write discussion on Determine expression for the bound ray
Your posts are moderated
Related Questions
What is the raw file size for an image of 80 rows and 100 columns, with pixels on 14 bits and with an extra row for the header? The minimum and maximum values observed in a

What are polar molecules Polar molecules - molecules having of two or more atoms that are neutral but have a charge which is not distributed uniformly.

Illustrate the working and principle of a nuclear reactor with the help of a labeled diagram?

Determine the axial force in the link AB of the lifting tongs which cross without touching.  The weight of the crate is P44 kN and the width of the box is P45 mm   The axial for

How to add Vectors analytically

Q. Briefly explain working of Michelsons Interferometer? Michelson designed an instrument for the measurement of wavelength of sodium light, thickness of thin film and for many

Permittivity of free space; electric constant; epsilon_0 The ratio of the electric displacement to the intensity of the electric field generating it in vacuum. This is equal to

Explanation on forces and how to create force diagrams

Yes magnetism more important for iit because the weight of this magnetism is very hign so be careful about this magnetism chapter All the best for your preparation

Explain Buoyancy in Air The same buoyancy happens in air. This is how hot air balloons fly. By heating the air and lowering the density of the air in the balloon, the balloon f