### Abstract

Analytic solutions to the superfocusing modes of surface plasmon polaritons in a conical geometry are theoretically studied using an ingenious method called the quasi-separation of variables. This method can be used to look for fundamental solutions to the wave equation for a field that must satisfy boundary conditions at all points on the continuous surface of tapered geometries. The set of differential equations exclusively separated from the wave equation can be consistently solved in combination with perturbation methods. This paper presents the zeroth-order perturbation solution of conical superfocusing modes with azimuthal symmetry and graphically represents them in electric field-line patterns.

Original language | English |
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Pages (from-to) | 12479-12503 |

Number of pages | 25 |

Journal | Journal of Physics A: Mathematical and Theoretical |

Volume | 40 |

Issue number | 41 |

DOIs | |

Publication status | Published - 2007 Oct 12 |

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### ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Statistics and Probability
- Modelling and Simulation
- Mathematical Physics
- Physics and Astronomy(all)

### Cite this

*Journal of Physics A: Mathematical and Theoretical*,

*40*(41), 12479-12503. https://doi.org/10.1088/1751-8113/40/41/015