Double-heterostructure cavities: From theory to design

Mahmoodian, Sahand; Sipe, J. E.; Poulton, Christopher G.; Dossou, Kokou B.; Botten, L. C.; McPhedran, R. C.; Sterke, C. Martijn de

doi:10.1103/physreva.86.043802

Cited by 1 publication

(2 citation statements)

References 51 publications

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“…The parameters used for the two-dimensional simulation are given in Table 3 an Intel Core i3-2130 processor 19 . As explained in the case of the one-dimensional simulations in Subsection 3.1.3, the real-valued resulting fields have to be extended with their imaginary parts.…”

Section: Ftdt and Local Density Resultsmentioning

confidence: 99%

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Large area photonic crystal cavities: a local density approach

Dobbelaar¹,

Greveling²,

Oosten³

2015

Opt. Express

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Slowly chirped two-dimensional photonic crystal cavities are promising devices for creating photonic Bose-Einstein condensates. Before experimentally achieving such a condensate, one first has to thoroughly investigate the electromagnetic eigenmodes in such crystals. However, slowly chirped photonic crystals leading to cavities for light will easily have sizes in the order of tens of micrometers. Therefore simulating the behaviour of light in these crystals is very time consuming. In this thesis we demonstrate a novel and intuitive approach to obtain the envelopes of the electromagnetic modes in these crystals. An enormous advantage of this approach is that it can calculate the energies and the envelopes of these eigenmodes to a high accuracy in a few seconds. We model a chirped photonic crystal using a local density approach; we assign a potential energy for light, extracted from photonic bandstructure calculations, to each unit cell of the crystal. We also obtain an effective mass from the curvature of the photonic band at this energy. With these ingredients we are left with the task of solving the corresponding Schrödinger equation, which is an elegant and far less time-consuming exercise than calculating the envelopes of the electromagnetic modes using finite-difference time-domain simulations. In this thesis it is shown that for one-and two-dimensional quadratically chirped photonic crystals the agreement between the envelopes obtained by these simulations and the analytical ones resulting from this model is larger than 90% for the lowest energy eigenmodes. Moreover, even with small distortions on this quadratic behaviour of the widths of a onedimensional chirped photonic crystal, the corresponding numerically obtained solutions of the Schrödinger equation clearly have an excellent agreement with the simulated mode envelopes.

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Section: Ftdt and Local Density Resultsmentioning

confidence: 99%

“…A cavity can thus be created by making the hole size larger while going further away from the center of the crystal. This trapping effect is for instance also used in double-heterostructure cavities [19]. By slowly chirping one can thus create a cavity in which light can be trapped but also experiences a practically periodic potential.…”

Section: Cavitiesmentioning

confidence: 99%