Transparent boundary condition for beam propagation

Hadley, G. Ronald

doi:10.1364/ol.16.000624

Cited by 280 publications

(89 citation statements)

References 5 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…, bN-l,--, which are also equal to unity except for TM polarization those elements corresponding to interfaces. The vector elements $;+l can be solved quite effectively in a standard fashion (see e.g., [8] p. 166) if (expressions for) the fields at the boundaries, $:+' and $&+' are known [6], [9].…”

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

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

“…Note that in the eigenmode analysis by the imaginary-distance BPM, the field near the computational boundary is dominated by an evanescent wave. In this analysis, we, therefore, modify the well-known transparent boundary condition [14], i.e., the field is assumed to decay exponentially without phase progression. The modified transparent boundary condition provides reasonable results with small computer memories.…”

Section: A Eigenmode Analysismentioning

confidence: 99%

A Short Polarization Converter Using a Triangular Waveguide

Yamauchi

Yamanoue

Nakano

2008

J. Lightwave Technol.

View full text Add to dashboard Cite

Abstract-A novel polarization converter using a triangular waveguide is proposed and analyzed by the imaginary-distance beam-propagation method based on Yee's mesh and the finite-difference time-domain method. The polarization conversion length is investigated as a function of relative refractive index difference. It is found, for a silicon core embedded in a silica cladding, that the conversion length is 2 m, while the insertion loss is 0.5 dB at a wavelength of 1.55 m. The extinction ratio is more than 20 dB over a wide wavelength range of 1.25 to 1.65 m. Using a geometrically expanded model, the polarization conversion behavior is verified in the experiment at a microwave frequency of 15 GHz. Finally, reasonable polarization conversion is obtained with a modified structure, in which the two corners of the triangular waveguide are cut and the cut plane is aligned with a square input (output) waveguide.

show abstract

“…The FD-BPM algorithm was based on parabolic wave equation in frame of the Crank-Nicholson scheme [14][15][16][17].…”

Section: Gaussian Beam Diffraction In Inhomogeneous Planar Waveguide mentioning

confidence: 99%

Gaussian beam diffraction in inhomogeneous and nonlinear media: analytical and numerical solutions by complex geometrical optics

Berczyński

Kravtsov²,

Zegliñski

2008

Open Physics

View full text Add to dashboard Cite

Abstract:The method of paraxial complex geometrical optics (CGO) is presented, which describes Gaussian beam diffraction in arbitrary smoothly inhomogeneous media, including lens-like waveguides. By way of an example, the known analytical solution for Gaussian beam diffraction in free space is presented. Paraxial CGO reduces the problem of Gaussian beam diffraction in inhomogeneous media to the system of the first order ordinary differential equations, which can be readily solved numerically. As a result, CGO radically simplifies the description of Gaussian beam diffraction in inhomogeneous media as compared to the numerical methods of wave optics. For the paraxial on-axis Gaussian beam propagation in lens-like waveguide, we compare CGO solutions with numerical results for finite differences beam propagation method (FD-BPM). The CGO method is shown to provide 50-times higher rate of calculation then FD-BPM at comparable accuracy. Besides, paraxial eikonal-based complex geometrical optics is generalized for nonlinear Kerr type medium. This paper presents CGO analytical solutions for cylindrically symmetric Gaussian beam in Kerr type nonlinear medium and effective numerical solutions for the self-focusing effect of Gaussian beam with elliptic cross section. Both analytical and numerical solutions are shown to be in a good agreement with previous results, obtained by other methods.

show abstract

Transparent boundary condition for beam propagation

Cited by 280 publications

References 5 publications

Efficient interface conditions for the finite difference beam propagation method

Efficient interface conditions for the finite difference beam propagation method

A Short Polarization Converter Using a Triangular Waveguide

Gaussian beam diffraction in inhomogeneous and nonlinear media: analytical and numerical solutions by complex geometrical optics

Contact Info

Product

Resources

About