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- Lijun Yuan, Ya Yan Lu
- Journal of Lightwave Technology
- 2007

For optical-waveguiding structures composed of uniform segments that are invariant in the longitudinal direction, the Dirichlet-to-Neumann (DtN)-map method is highly competitive. Instead of computingâ€¦ (More)

- Lijun Yuan, Ya Yan Lu
- Journal of Lightwave Technology
- 2009

Optical waveguides with structural variations along the waveguide axes are useful in many applications. One way to realize such a variation is to insert a sequence of holes in the waveguide core. Inâ€¦ (More)

- Dawei Song, Lijun Yuan, Ya Yan Lu
- Journal of the Optical Society of America. Aâ€¦
- 2011

A Fourier-matching pseudospectral modal method [PSMM(f)] is developed for analyzing lamellar diffraction gratings or grating stacks. A Chebyshev pseudospectral method is first used to accuratelyâ€¦ (More)

- Lijun Yuan, Ya Yan Lu
- IEEE Photonics Technology Letters
- 2006

A new bidirectional propagation method is developed for numerical simulation of waveguiding structures with multiple longitudinal discontinuities. It is a noniterative method based on theâ€¦ (More)

- Lijun Yuan, Ya Yan Lu
- 2009

A rigorous and efficient computational method is developed to calculate transmission and reflection spectra for finite number of air-hole arrays in a slab, where the incident waves are propagatingâ€¦ (More)

- Lijun Yuan, Ya Yan Lu
- Optics express
- 2013

Nonlinear optical effects can be enhanced by photonic crystal microcavities and be used to develop practical ultra-compact optical devices with low power requirements. The finite-differenceâ€¦ (More)

- Jianliang Qian, Lijun Yuan, Suili Feng, Songting Luo, Robert Burridge
- J. Sci. Comput.
- 2016

The usual geometrical-optics expansion of the solution for the Helmholtz equation of a point source in an inhomogeneous medium yields two equations: an eikonal equation for the traveltime function,â€¦ (More)

- Jianliang Qian, Wangtao Lu, Lijun Yuan, Songting Luo, Robert Burridge
- Multiscale Modeling & Simulation
- 2016

In some applications, it is reasonable to assume that geodesics (rays) have a consistent orientation so that Maxwellâ€™s equations may be viewed as an evolution equation in one of the spatialâ€¦ (More)

- Lijun Yuan, Ya Yan Lu
- 2017

Optical bound states in the radiation continuum (BICs) have interesting properties and potentially important applications. On periodic structures, the BICs are guided modes above the lightline, andâ€¦ (More)

- Lijun Yuan, Ya Yan Lu
- 2007

For second harmonic generation in two-dimensional wave-guiding structures composed of segments that are invariant in the longitudinal direction, we develop an efficient numerical method based on theâ€¦ (More)