### Abstract

An analytical investigation is presented of a waveguide with parabolic cylindrical guiding section. It is assumed that the waveguide has a step-index profile, and the refractive index of the guiding region is slightly higher than that of the two non-guiding regions so that the scalar field approximation in optical waveguides can be employed for the analysis. The eigenvalue equation for the cutoff modes is derived, and it is solved without using any field approximations. The plots represent a bunching tendency of modes instead of well-defined discreteness, which is because the distance of separation between the two layer interfaces does not remain constant, but continues to increase instead as one moves away from the region near the vertices of the parabolas. It is also found that by making the analysis more exact, the guide supports less number of modes, which is of advantage in the point of view of applications of such guides in optical communications or other related fields.

Original language | English |
---|---|

Pages (from-to) | 358-362 |

Number of pages | 5 |

Journal | Optik (Jena) |

Volume | 112 |

Issue number | 8 |

Publication status | Published - 2001 |

Externally published | Yes |

### Fingerprint

### Keywords

- Electromagnetic wave propagation
- Optical fibers

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Optik (Jena)*,

*112*(8), 358-362.

**Parabolic cylindrical waveguides : Revisited.** / Choudhury, Pankaj Kumar; Lessard, Roger A.

Research output: Contribution to journal › Article

*Optik (Jena)*, vol. 112, no. 8, pp. 358-362.

}

TY - JOUR

T1 - Parabolic cylindrical waveguides

T2 - Revisited

AU - Choudhury, Pankaj Kumar

AU - Lessard, Roger A.

PY - 2001

Y1 - 2001

N2 - An analytical investigation is presented of a waveguide with parabolic cylindrical guiding section. It is assumed that the waveguide has a step-index profile, and the refractive index of the guiding region is slightly higher than that of the two non-guiding regions so that the scalar field approximation in optical waveguides can be employed for the analysis. The eigenvalue equation for the cutoff modes is derived, and it is solved without using any field approximations. The plots represent a bunching tendency of modes instead of well-defined discreteness, which is because the distance of separation between the two layer interfaces does not remain constant, but continues to increase instead as one moves away from the region near the vertices of the parabolas. It is also found that by making the analysis more exact, the guide supports less number of modes, which is of advantage in the point of view of applications of such guides in optical communications or other related fields.

AB - An analytical investigation is presented of a waveguide with parabolic cylindrical guiding section. It is assumed that the waveguide has a step-index profile, and the refractive index of the guiding region is slightly higher than that of the two non-guiding regions so that the scalar field approximation in optical waveguides can be employed for the analysis. The eigenvalue equation for the cutoff modes is derived, and it is solved without using any field approximations. The plots represent a bunching tendency of modes instead of well-defined discreteness, which is because the distance of separation between the two layer interfaces does not remain constant, but continues to increase instead as one moves away from the region near the vertices of the parabolas. It is also found that by making the analysis more exact, the guide supports less number of modes, which is of advantage in the point of view of applications of such guides in optical communications or other related fields.

KW - Electromagnetic wave propagation

KW - Optical fibers

UR - http://www.scopus.com/inward/record.url?scp=0034775851&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034775851&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0034775851

VL - 112

SP - 358

EP - 362

JO - Optik

JF - Optik

SN - 0030-4026

IS - 8

ER -