During my Ph.D., I worked on European Commission funded project `Next generation Active Integrated optic Sub-systems' (NAIS).

NAIS project: Over all concept
NAIS project: Applied mathematics aspect

Supervision:
a. Daily Supervisor: Dr. M. Hammer
b. Promoter: Prof. Dr. E. van Groesen
c. Supervising Committee : Dr. M. Hammer, Prof. Dr. E. van Groesen, Dr. H. J. W. M. Hoekstra, Dr. Ir. T. Valkering

Description of research:

Circular integrated optical microresonators based wavelength filters are well known for their compact size and superior selectivity. In this research work, we presented a spatial coupled mode theory based two dimensional frequency domain model for these devices. A microresonator is functionally represented in terms of two bent-straight waveguide couplers with appropriate connections using bent waveguides and straight waveguides. The abstract scattering matrices of these couplers and the propagation constants of the cavity bends allow to compute the spectral response of the microresonator. Capitalizing on the availability of semi-analytical model of bent waveguides, the constituent bent-straight waveguide couplers are modeled using spatial coupled mode theory based on variational method. Comparisons of simulation results with finite difference time domain simulations shows excellent agreement. The above outlined modeling method can be straightforwardly extended to three dimensional microresonators.

Milestones: