### 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

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

### Cite this

*Journal of Physics A: Mathematical and Theoretical*,

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

**Superfocusing modes of surface plasmon polaritons in conical geometry based on the quasi-separation of variables approach.** / Kurihara, Kazuyoshi; Otomo, Akira; Syouji, Atsushi; Takahara, Junichi; Suzuki, Koji; Yokoyama, Shiyoshi.

Research output: Contribution to journal › Article

*Journal of Physics A: Mathematical and Theoretical*, vol. 40, no. 41, pp. 12479-12503. https://doi.org/10.1088/1751-8113/40/41/015

}

TY - JOUR

T1 - Superfocusing modes of surface plasmon polaritons in conical geometry based on the quasi-separation of variables approach

AU - Kurihara, Kazuyoshi

AU - Otomo, Akira

AU - Syouji, Atsushi

AU - Takahara, Junichi

AU - Suzuki, Koji

AU - Yokoyama, Shiyoshi

PY - 2007/10/12

Y1 - 2007/10/12

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=35748971477&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=35748971477&partnerID=8YFLogxK

U2 - 10.1088/1751-8113/40/41/015

DO - 10.1088/1751-8113/40/41/015

M3 - Article

VL - 40

SP - 12479

EP - 12503

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 41

ER -