### Abstract

This paper considers an asymmetric medium which contains higher-order terms and presents a simplified analysis via the perturbation method and the results of the propagation constants, group velocities, and the perturbed modes. It is shown that the degeneracy is removed by the x**2y**2 terms and that the mode dispersion remains even if the ideal condition for undegenerate case (h//4**(**3**)/h//4**(**1**) equals 3) holds. This quantity is less than only 100 psec (g/k(0) equals 10** minus **3) per 1 km even if the maximum of degenerate modes (p plus q equals 1) is 10. In a completely symmetric lens-like medium, Hermite-Gaussian modes become degenerate and their group velocities coincide.

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

Title of host publication | Electron Commun Jpn |

Pages | 108-117 |

Number of pages | 10 |

Volume | 59 |

Edition | 10 |

State | Published - 1976 Oct 1 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Electron Commun Jpn.*(10 ed., Vol. 59, pp. 108-117)

**REMOVAL OF THE DEGENERACY IN MODES OF LENS-LIKE MEDIUM BY AN x**2 y**2 TERM IN THE INDEX DISTRIBUTION.** / Iga, Kenichi; Kokubun, Yasuo; Yokomori, Kiyoshi.

Research output: Chapter in Book/Report/Conference proceeding › Chapter

*Electron Commun Jpn.*10 edn, vol. 59, pp. 108-117.

}

TY - CHAP

T1 - REMOVAL OF THE DEGENERACY IN MODES OF LENS-LIKE MEDIUM BY AN x**2 y**2 TERM IN THE INDEX DISTRIBUTION.

AU - Iga,Kenichi

AU - Kokubun,Yasuo

AU - Yokomori,Kiyoshi

PY - 1976/10/1

Y1 - 1976/10/1

N2 - This paper considers an asymmetric medium which contains higher-order terms and presents a simplified analysis via the perturbation method and the results of the propagation constants, group velocities, and the perturbed modes. It is shown that the degeneracy is removed by the x**2y**2 terms and that the mode dispersion remains even if the ideal condition for undegenerate case (h//4**(**3**)/h//4**(**1**) equals 3) holds. This quantity is less than only 100 psec (g/k(0) equals 10** minus **3) per 1 km even if the maximum of degenerate modes (p plus q equals 1) is 10. In a completely symmetric lens-like medium, Hermite-Gaussian modes become degenerate and their group velocities coincide.

AB - This paper considers an asymmetric medium which contains higher-order terms and presents a simplified analysis via the perturbation method and the results of the propagation constants, group velocities, and the perturbed modes. It is shown that the degeneracy is removed by the x**2y**2 terms and that the mode dispersion remains even if the ideal condition for undegenerate case (h//4**(**3**)/h//4**(**1**) equals 3) holds. This quantity is less than only 100 psec (g/k(0) equals 10** minus **3) per 1 km even if the maximum of degenerate modes (p plus q equals 1) is 10. In a completely symmetric lens-like medium, Hermite-Gaussian modes become degenerate and their group velocities coincide.

UR - http://www.scopus.com/inward/record.url?scp=0017006716&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0017006716&partnerID=8YFLogxK

M3 - Chapter

VL - 59

SP - 108

EP - 117

BT - Electron Commun Jpn

ER -