### Abstract

Asymptotic approximations are obtained for the electric field associated with a traveling wave current filament above Earth. A first-order asymptotic solution is obtained by applying the steepest descent technique to the direct and reflected fields separately. The first-order solution is used together with a recurrence relationship to obtain a second-order asymptotic approximation for the total field. Superposition of the fields due to two semi-infinite wires is used to find the field associated with a finite length traveling wave current filament above Earth. The fields which are computed using the asymptotic approximations are compared with the `true' fields which are obtained by numerical integration of the tw o-dimensional Sommerfeld integral. The second-order asymptotic approximation is found to yield accurate results for all observation points located away from the source.

Original language | English (US) |
---|---|

Pages (from-to) | 1219-1229 |

Number of pages | 11 |

Journal | Radio Science |

Volume | 29 |

Issue number | 5 |

State | Published - Sep 1994 |

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### ASJC Scopus subject areas

- Computer Networks and Communications
- Atmospheric Science
- Computers in Earth Sciences
- Geochemistry and Petrology
- Geophysics
- Instrumentation

### Cite this

*Radio Science*,

*29*(5), 1219-1229.

**Asymptotic technique for computing the electric field associated with a traveling wave current filament above Earth.** / Budihardjo, A.; Dvorak, Steven L; Mechaik, M. M.

Research output: Contribution to journal › Article

*Radio Science*, vol. 29, no. 5, pp. 1219-1229.

}

TY - JOUR

T1 - Asymptotic technique for computing the electric field associated with a traveling wave current filament above Earth

AU - Budihardjo, A.

AU - Dvorak, Steven L

AU - Mechaik, M. M.

PY - 1994/9

Y1 - 1994/9

N2 - Asymptotic approximations are obtained for the electric field associated with a traveling wave current filament above Earth. A first-order asymptotic solution is obtained by applying the steepest descent technique to the direct and reflected fields separately. The first-order solution is used together with a recurrence relationship to obtain a second-order asymptotic approximation for the total field. Superposition of the fields due to two semi-infinite wires is used to find the field associated with a finite length traveling wave current filament above Earth. The fields which are computed using the asymptotic approximations are compared with the `true' fields which are obtained by numerical integration of the tw o-dimensional Sommerfeld integral. The second-order asymptotic approximation is found to yield accurate results for all observation points located away from the source.

AB - Asymptotic approximations are obtained for the electric field associated with a traveling wave current filament above Earth. A first-order asymptotic solution is obtained by applying the steepest descent technique to the direct and reflected fields separately. The first-order solution is used together with a recurrence relationship to obtain a second-order asymptotic approximation for the total field. Superposition of the fields due to two semi-infinite wires is used to find the field associated with a finite length traveling wave current filament above Earth. The fields which are computed using the asymptotic approximations are compared with the `true' fields which are obtained by numerical integration of the tw o-dimensional Sommerfeld integral. The second-order asymptotic approximation is found to yield accurate results for all observation points located away from the source.

UR - http://www.scopus.com/inward/record.url?scp=0028495160&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028495160&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0028495160

VL - 29

SP - 1219

EP - 1229

JO - Radio Science

JF - Radio Science

SN - 0048-6604

IS - 5

ER -