Numerical Computation of Bandgaps in Photonic Crystal Fibres

Host Institution:

La Trobe University

Title of Seminar:

Numerical Computation of Bandgaps in Photonic Crystal Fibres

Speaker's Name:

Dr Richard Norton

Speaker's Institution:

La Trobe University

Time and Date:

Friday 21 September, 2.00 PM (EST)

Seminar Abstract:

Photonic crystal fibres (PCFs) are optical fibres that consist of a core surrounded by cladding.  The cladding has a periodic structure that prevents light of particular frequencies from passing through it.  The objective is to design a PCF that simultaneously prevents light from passing through the cladding and allows light to exist in the core.  Since PCFs are expensive to manufacture, modelling is important for design, and one must be sure that the numerical methods used to solve Maxwell's equations (that govern the behaviour of light) are accurate.

In this talk I present theory in support of the planewave expansion method for modelling light in PCFs.  Even though we do not achieve exponentially fast convergence (because the eigenfunctions of the exact problem have limited regularity), the planewave expansion method has several desirable qualities.  I also consider two commonly used variants of the planewave expansion method: a) regularisation of discontinuous coefficients in the differential operator, and b) approximation of Fourier coefficients when explicit formulae are not available.

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