Finite-difference analysis of integrated optical waveguides without spurious mode solutions

Schulz, N.; Bierwirth, K.; Arndt, F.

doi:10.1049/el:19860657

Cited by 24 publications

(2 citation statements)

References 10 publications

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“…Thus, in circumstances where eigensolutions, with completely continuous components, of the Helmholtz equation are required for polarised fields within a waveguide structure containing dielectric discontinuities, the method developed in this paper provides a straightforward means for computing such solutions. The above approach is simpler than the full vector H field methods developed by other authors [11,[13][14][15][16][17][18], but the rib waveguide results of Section 6 demonstrate that it possesses much of the latter methods' accuracy [1,11]. Furthermore, it does not give rise to spurious modes because IEE PROCEEDINGS, Vol.…”

Section: Resultsmentioning

confidence: 94%

“…The semivectorial approach described in this paper is simpler than the full vector H field methods developed by other authors [11,[13][14][15][16][17][18], but the rib waveguide results of Section 6 demonstrate that it possesses much of the latter methods' accuracy [1,11]. Furthermore, spurious modes do not arise because the zero divergence constraint is implicitly satisfied by the polarised fields.…”

Section: Introductionmentioning

confidence: 85%

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Semivectorial polarised H̃ field solutions for dielectric waveguides with arbitrary index profiles

Stern

1988

IEE Proc. J Optoelectron. UK

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Following recent successes with semivectorial polarised £ field solutions for rib, channel, embedded, and buried waveguides a method is presented for the determination of corresponding polarised H field modes for similar and other rectangular waveguide structures which may contain any arbitrary distribution of horizontal and vertical dielectric discontinuities. The new finite difference schemes take full account of the discontinuities in the normal gradients of magnetic field components across all internal dielectric interfaces. The polarised H field results, which are presented for various rib and embedded waveguide structures, are found to be in excellent agreement with the corresponding polarised £ field modes. Application of the zero divergence constraint prevents the occurrence of spurious modes.

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Section: Resultsmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 85%

Semivectorial polarised H̃ field solutions for dielectric waveguides with arbitrary index profiles

Stern

1988

IEE Proc. J Optoelectron. UK

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Characterization of a magnetoplasma integrated channel waveguide using FD–FD method

Sobrinho

Giarola

1998

Microw. Opt. Technol. Lett.

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Analysis of coupled anisotropic dielectric waveguides using the frequency domain finite‐difference method

Giarola

1994

Int. J. Microw. Mill.‐Wave Comput.‐Aided Eng.

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A rigorous general and versatile finite-difference formulation for the analysis of the propagation characteristics in structures, having the dielectric waveguide as the basic element, is presented here, In this formulation, the finite-difference method is used in the numerical solution of the scalar wave equation, written in terms of the transverse components of the magnetic field. As a result, a conventional eigenvalue problem is obtained without the presence of spurious modes (present in previous formulations), due to the implicit inclusion of the divergence of the magnetic field equal to zero. The general case of biaxial anisotropic dielectrics is considered, with the refractive index profile varying arbitrarily in the waveguide cross section. Dispersion characteristics for isolated and parallel coupled dielectric waveguides are calculated. The theoretical development was then used to solve particular problems and the results agree with those available from other methods. Results were obtained for a variety of waveguide structures of much interest, particularly for the development of integrated optics. 8

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Finite-difference analysis of integrated optical waveguides without spurious mode solutions

Cited by 24 publications

References 10 publications

Semivectorial polarised H̃ field solutions for dielectric waveguides with arbitrary index profiles

Semivectorial polarised H̃ field solutions for dielectric waveguides with arbitrary index profiles

Characterization of a magnetoplasma integrated channel waveguide using FD–FD method

Analysis of coupled anisotropic dielectric waveguides using the frequency domain finite‐difference method

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