Two schemes are developed to improve the computational accuracy of the full-vectorial imaginary-distance beam propagation method (FV-ID-BPM). In the first scheme, the cross-coupling terms (CCTs) demanded for the FV analysis are expressed in explicit forms, which are independent of specific types of waveguides, by using an improved finite-difference formula. In the second one, the generalized Douglas (GD) scheme is adopted for discretizing the second-order partial derivatives in the FV-ID-BPM equations. A detailed comparative study between the two schemes in improving the computational accuracy is performed by taking a strongly-guiding rib waveguide as a testing example. The highest accuracy is demonstrated in case of the combination of the two schemes. Nevertheless, the improved FD formula for the CCTs is proved to play a much more significant role than the GD scheme in improving the computational accuracy. Moreover, the effectiveness of the GD scheme diminishes as the FD grid is refined.
The imaginary-distance beam propagation method is successfully employed to investigate the effective index of the fundamental mode in the air-filled silica index-guiding photonic crystal fibers (PCFs). A PCF characterized by a hexagonal distribution of air holes with a central defect is taken as example. The convergence behaviro of the modal index versus the air hole radius is investigated. It is demonstrated that the converging speed is proportional to the air hole radius. The modal birefringence in the HE state is numerically investigated and demonstrated to strongly depend on the precision of the numerical mesh.
A fiber loop mirror constructed from two polarization- maintaining dispersion-shifted fibers with different zero- dispersion wavelengths is theoretically investigated. Our results show that this fiber loop can be used for both four- wave mixing without optical filtering and all-optical switching.
Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks.
You are receiving this notice because your organization may not have SPIE eBooks access.*
*Shibboleth/Open Athens users─please
sign in
to access your institution's subscriptions.
To obtain this item, you may purchase the complete book in print or electronic format on
SPIE.org.
INSTITUTIONAL Select your institution to access the SPIE Digital Library.
PERSONAL Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.