PSTM / NSOM modeling by 2-D quadridirectional eigenmode expansion

A two-dimensional (2-D) model for photon-scanning tunneling microscopy (PSTM) of integrated optical devices is evaluated. The simulations refer to a setup where the optical field in the vicinity of the sample is probed by detecting the optical power that is transferred via evanescent or radiative coupling to the tapered tip of an optical fiber close to the sample surface. Scanning the tip across the surface leads to a map of the local optical field in the sample. As a step beyond the mere analysis of the sample device, simulations are considered that include the sample as well as the probe tip. An efficient semianalytical simulation technique based on quadridirectional eigenmode expansions is applied. Results for a series of configurations, where slab waveguides with different types of corrugations serve as samples, allow assessment of the relation between the PSTM signal and the local field distribution in the sample. A reasonable qualitative agreement was observed between these computations and a previous experimental PSTM investigation of a waveguide Bragg grating

Uni- and omnidirectional simulation tools for integrated optics

This thesis presents several improvements on simulation methods in integrated optics, as well as some new methods. Both uni- and omnidirectional tools are presented; for the unidirectional methods, the emphasis is on higher-order accuracy; for the omnidirectional methods, the boundary conditions are extremely important, and care must be taken with the incoming field definition. The omnidirectional methods are applied to two different types of structures, a cylindrical microcavity and photonic bandgap crystals

Widely wavelength-selective Al2O3:Er3+ ring laser

Integrated Al2O3:Er3+ channel waveguide ring lasers were realized on thermally oxidized silicon substrates. High pump power coupling into- and low output power coupling from the ring is achieved in a straightforward design. Wavelength\ud selection in the range 1532 to 1557 nm was demonstrated by\ud varying the length of the output coupler from the ring

Dimensionality reduction for 3D vectorial optical scattering problems

The spatial dimensionality of vectorial 3D frequency domain optical scattering problems is reduced by means of a global expansion of the field in one direction in slab modes of some reference slice(s). A variational formalism yields the equations in the other two directions. These coupled partial differential equations are solved using a Finite Element Method with modified Transparent Influx Boundary Conditions with PMLs