The beam propagation method: an analysis of its applicability

Thylén, Lars

doi:10.1007/bf00619865

Cited by 137 publications

(29 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…1). In order to calculate light propagation through the Müller data-cube, we have developed 11 and applied a known algorithm, the fast Fourier transform beam propagation method (FFT BPM) [17][18][19][20][21] . This is a direct three-dimensional (3D) numerical solution of the wave equation, also known as the scalar Helmholtz equation 22,23 :…”

Section: Resultsmentioning

confidence: 99%

“…The most universal method for solving the Helmholtz wave equation for a complex refractive index profiles is the FFT BPM, which is also called the split-step BPM. The method 18,19,39 is based on discretization of the continuous refractive index profile distribution. This method proved to be a very accurate, stable and in most cases efficient, for describing a variety of problems within the framework of waveguide beam propagation.…”

Section: Methodsmentioning

confidence: 99%

See 1 more Smart Citation

Müller cells separate between wavelengths to improve day vision with minimal effect upon night vision

et al. 2014

View full text Add to dashboard Cite

Vision starts with the absorption of light by the retinal photoreceptors-cones and rods. However, due to the 'inverted' structure of the retina, the incident light must propagate through reflecting and scattering cellular layers before reaching the photoreceptors. It has been recently suggested that Müller cells function as optical fibres in the retina, transferring light illuminating the retinal surface onto the cone photoreceptors. Here we show that Müller cells are wavelength-dependent wave-guides, concentrating the green-red part of the visible spectrum onto cones and allowing the blue-purple part to leak onto nearby rods. This phenomenon is observed in the isolated retina and explained by a computational model, for the guinea pig and the human parafoveal retina. Therefore, light propagation by Müller cells through the retina can be considered as an integral part of the first step in the visual process, increasing photon absorption by cones while minimally affecting rod-mediated vision.

show abstract

Section: Resultsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Müller cells separate between wavelengths to improve day vision with minimal effect upon night vision

et al. 2014

View full text Add to dashboard Cite

show abstract

“…Recently a propagation method based on a finite difference scheme (FDPBM), assuming the so-called slowly varying envelope approximation (SVEA), has been introduced [4]- [6]. The FFTBPM is reliable for structures having not too high-index contrasts, and, in the presence of such contrasts, the propagation should be paraxial [l], [2]. For the FDBPM the only requirement is that the differences between the effective indexes of the propagating modes are small.…”

Section: Introductionmentioning

confidence: 99%

Efficient interface conditions for the finite difference beam propagation method

Hoekstra

Krijnen

Lambeck

1992

J. Lightwave Technol.

View full text Add to dashboard Cite

show abstract

“…The beam propagation method was used to find the field distribution for each length, L, of waveguide. This method is applicable because the field amplitude slowly varies in the propagation direction [10]. Simple transparent boundary conditions were used [11] because they are most suited for highly multimode problems [12].…”

Section: System Model Layoutmentioning

confidence: 99%

Optimal VIA Placement in Under Filled Embedded Multimode Waveguides

Riegel¹,

Howard²,

Middlebrook³

2013

OPJ

View full text Add to dashboard Cite

The self-imaging property of multimode waveguides creates a challenging problem when finding the optimal placement position of an out-of-plane coupler for embedded waveguides. This problem is compounded when the waveguides are coupled using a small input such as a vertical cavity surface emitting laser (VCSEL) or a single mode fiber where only some of the modes are generated. When the waveguide system is under filled, the coupling efficiency for the optical vertical interconnect assembly (VIA) can vary by as much as 6.2 dB depending on the length of the proceeding waveguide due to different output fields from the self-imaging property. This requires sweeping each individual VIA over the entire range of possible coupler positions to find the total maximum coupling efficiency. This process increases in complexity when a VIA supports several parallel channels all having a different optical path length. If a VIA can be placed in a calculated position from the end of a terminated embedded waveguide dependent upon the modal structure then blind pick and place methods may be used. The optimal coupler placement was determined based on smallest average VIA attenuation, smallest attenuation variance, and worse-case alignment scenario.

show abstract

The beam propagation method: an analysis of its applicability

Cited by 137 publications

References 9 publications

Müller cells separate between wavelengths to improve day vision with minimal effect upon night vision

Müller cells separate between wavelengths to improve day vision with minimal effect upon night vision

Efficient interface conditions for the finite difference beam propagation method

Optimal VIA Placement in Under Filled Embedded Multimode Waveguides

Contact Info

Product

Resources

About