Journal ArticleDOI
An assessment of finite difference beam propagation method
Youngchul Chung,Nadir Dagli +1 more
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TLDR
In this article, a finite-difference beam propagation method (FD-BPM) is outlined and assessed in comparison with conventional beam propagation methods which use fast Fourier transformation.Abstract:
A finite-difference beam propagation method (FD-BPM) is outlined and assessed in comparison with a conventional beam propagation method (FFT-BPM) which uses fast Fourier transformation. In the comparative study three straight waveguides with different index profiles that are frequently encountered in integrated optics are utilized. Using both methods normalized effective index values of the eigenmodes of these waveguides are calculated and compared with the exact values obtained from analytical expressions. As a further accuracy criterion, the power loss due to numerical errors when an eigenmode of a waveguide is excited is evaluated. Based on this comparison the accuracy, computational efficiency, and stability of the FD-BPM are assessed. >read more
Citations
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Journal ArticleDOI
Numerical techniques for modeling guided-wave photonic devices
TL;DR: Several key techniques for modeling photonic devices, including several mode-solving techniques, the beam propagation method, the method of lines, and the finite-difference time-domain technique are reviewed.
Journal ArticleDOI
Simulation of three-dimensional optical waveguides by a full-vector beam propagation method
W.P. Huang,C.-L. Xu +1 more
TL;DR: In this paper, a full vector beam propagation method was used to simulate optical guided waveguide structures by a full-vector beam propagating method and two sets of coupled equations governing the propagation of the transverse electric and magnetic fields were derived systematically.
Journal ArticleDOI
The finite-difference vector beam propagation method: analysis and assessment
TL;DR: In this article, a finite-difference vector beam propagation method (FD-VBPM) was proposed for two-dimensional waveguide structures and evaluated by calculating attenuation coefficients and the percentage errors of the propagation constants of the TE and TM modes of a step-index slab waveguide.
Journal ArticleDOI
Self-focusing and self-trapping of optical beams upon photopolymerization.
Anthony S. Kewitsch,Amnon Yariv +1 more
TL;DR: It is demonstrated theoretically and experimentally that optical beams are self-focused and self-trapped upon initiating photopolymerization and the resulting nonlinear wave equation is shown to be nonlocal in time and displays self-Trapped solutions only for sufficiently low average optical intensities.
Journal ArticleDOI
Tapered fiber optical tweezers for microscopic particle trapping: fabrication and application.
TL;DR: A novel single tapered Fiber optical tweezers is proposed and fabricated by heating and drawing technology and the microscopic particle tapping performance of this special designed tapered fiber probe is demonstrated and investigated.
References
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Journal ArticleDOI
Beam-propagation method: analysis and assessment
TL;DR: In this paper, a beam-propagation method for the calculation of the propagation of a light beam through an inhomogeneous medium is presented, and a set of conditions necessary for the accurate application of the method is derived.
Book ChapterDOI
Theory of Dielectric Waveguides
TL;DR: In this article, the theory of dielectric waveguides is discussed and a discussion of the fabrication of planar waveguide structures is presented, even though most of the fundamentals are applicable to all waveguide types.
Journal ArticleDOI
The beam propagation method: an analysis of its applicability
TL;DR: In this paper, simple quantitative conditions for the applicability of the beam propagation method (BPM) in isotropic and anisotropic media are derived using the operator formalism employed in the BPM in its conventional formulation.
Journal ArticleDOI
Finite element/finite difference propagation algorithm for integrated optical device
TL;DR: In this article, a propagation algorithm based on finite elements and a finite difference discretisation of the scalar wave equation is investigated as an alternative to the beam propagation method, which overcomes the assumption of low contrast media in BPM and allows the propagation of arbitrary input fields in strongly guiding structures.
Journal ArticleDOI
Semiconductor waveguides: analysis of optical propagation in single rib structures and directional couplers
TL;DR: Optical propagation in semiconductor waveguides has been analyzed in three ways: the semi-analytic ''effective index'' method and two numerical methods based on variational techniques as discussed by the authors.