Analysis of diffraction from abruptly-terminated optical fibers by the method of lines

Imtaar, M.; Al-Bader, S.J.

doi:10.1109/50.365198

Cited by 8 publications

(4 citation statements)

References 16 publications

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“…This method has been demonstrated to give accurate results for beams propagating inside a multi-junctions waveguide and into free space from abrupt-terminated waveguide facet including radiation and absorption effects [22–23]. We modeled the continuously changing waveguide profile by stair-case approximation.…”

Section: Numerical Results Of the Diffractionless Grazing Waveguidementioning

confidence: 99%

Diffractionless beam in free space with adiabatic changing refractive index in a single mode tapered slab waveguide

Tsai¹,

Vinegoni²,

Weissleder³

2009

Opt. Express

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We propose a novel design to produce a free space diffractionless beam by adiabatically reducing the difference of the refractive index between the core and the cladding regions of a single mode tapered slab waveguide. To ensure only one propagating eigenmode in the adiabatic transition, the correlation of the waveguide core width and the refractive index is investigated. Under the adiabatic condition, we demonstrate that our waveguide can emit a diffractionless beam in free space up to 500 micrometers maintaining 72% of its original peak intensity. The proposed waveguide could find excellent applications for imaging purposes where an extended depth of field is required.

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Section: Numerical Results Of the Diffractionless Grazing Waveguidementioning

confidence: 99%

Diffractionless beam in free space with adiabatic changing refractive index in a single mode tapered slab waveguide

Tsai¹,

Vinegoni²,

Weissleder³

2009

Opt. Express

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“…In the MoL analysis [17], both guided and radiation modes of both discontinuity sides are first obtained, and then, by enforcing the continuity of the transverse electromagnetic fields at the discontinuity plane, both reflected and transmitted fields can be calculated. However, to avoid the lengthy and complicated process of performing the modal analysis, an alternative approach is adopted [1].…”

Section: Derivation Of Finite-element Matricesmentioning

confidence: 99%

Bidirectional Beam Propagation Method

Obayya

2010

Computational Photonics

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In this chapter, the formulation of the finite-element solution for optical waveguide discontinuity problems is presented [1]. The validity and the numerical precision of the proposed method are evaluated through the analysis of three discontinuity problems, including a junction between two different waveguide sections, a laser-air interface and a laser angled facet. In addition, a numerically efficient scalar analysis of optical fibre facet problems based on the finite-element scheme is included [2] and the simulation results of dealing with various numerical uncoated and coated optical fibre facet problems will be detailed. Optical Waveguide Discontinuity ProblemOptical waveguide discontinuities play a very important role in the design of optical communication systems, and are quite often faced in situations such as butt-coupled waveguides, waveguide ends, laser facets and antireflection coatings [3][4][5]. Therefore, an accurate and efficient method for the solution of optical waveguide discontinuities is highly desirable. There are a number of methods proposed in the literature for the analysis of optical waveguide discontinuity problems. These methods can be classified, according to their solution strategy, into two groups. In the first group, the total field on either side of the discontinuity is made up as a weighted summation of all guided and radiation modes. Then, the continuity of the tangential electric and magnetic fields at the discontinuity plane is enforced using, for example, the least squares boundary residual (LSBR) [6], a combination of the finite elements and method of lines (FE-MoL) [7], the finite-element method (FEM) with analytical Computational PhotonicsSalah Obayya

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“…For circular geometry, the reflection of weakly guided modes from an uncoated fiber end was studied numerically in [7], while reflection from smoothed shaped cores of uncoated fibers was studied using semi-analytic methods [8]. The free space radiation method (FSRM) [9] was utilized to analyze the radiation from coated circular fiber end [10].…”

Section: Introductionmentioning

confidence: 99%

Excitation of an Open Cavity via HE11 Excited Single Mode Optical Fiber for a Fabry-Perot Interferometer

Salem

Niver

Chin

2006

2006 IEEE MTT-S International Microwave Symposium Digest

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Fabry-Perot interferometer configuration consisting of a single mode optical fiber end coupled to an open cavity has been studied. The established fields inside the open cavity due to excited HE1, mode, transmission and reflection coefficients incorporating diffraction effects from the fiber end were formulated using the mode matching method. A semianalytical algorithm that accounts for the vector nature of the fields was developed and evaluated. Numerical simulations were verified against experimental measurements.

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Analysis of diffraction from abruptly-terminated optical fibers by the method of lines

Cited by 8 publications

References 16 publications

Diffractionless beam in free space with adiabatic changing refractive index in a single mode tapered slab waveguide

Diffractionless beam in free space with adiabatic changing refractive index in a single mode tapered slab waveguide

Bidirectional Beam Propagation Method

Excitation of an Open Cavity via HE11 Excited Single Mode Optical Fiber for a Fabry-Perot Interferometer

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