dorsal/arxiv
View SchemaReal and Image Fields of a Relativistic Bunch
| Authors | B. B. Levchenko |
|---|---|
| Categories | |
| ArXiv ID | physics/0604013 |
| URL | https://arxiv.org/abs/physics/0604013 |
| DOI | 10.1155/2010/201730 |
| Journal | Physics Research International, Vol. 2010 (2010), Article ID 201730, 5 pages |
Abstract
We derive analytical expressions for external fields of a charged relativistic bunch with a circular cross section. At distances far from the bunch, the field reduces to the relativistic modified Coulomb form and in the near region, reproduce the external fields of a continuous beam. If the bunch is surrounded by conducting surfaces, the bunch self-fields are modified. Image fields generated by a bunch between two parallel conducting planes are studied in detail. Exact summation of image fields by the direct method invented by Laslett allows the infinite series to be represented in terms of elementary trigonometric functions.
{
"annotation_id": "c421830d-a723-4fd9-8844-1f6d0e1e1641",
"date_created": "2026-03-02T18:01:07.659000Z",
"date_modified": "2026-03-02T18:01:07.659000Z",
"file_hash": "e2ed9b28673298eeb3e8dac2c14ca138278f6bd8aed22c98c9830db2d253af62",
"private": false,
"record": {
"abstract": "We derive analytical expressions for external fields of a charged\nrelativistic bunch with a circular cross section. At distances far from the\nbunch, the field reduces to the relativistic modified Coulomb form and in the\nnear region, reproduce the external fields of a continuous beam. If the bunch\nis surrounded by conducting surfaces, the bunch self-fields are modified. Image\nfields generated by a bunch between two parallel conducting planes are studied\nin detail. Exact summation of image fields by the direct method invented by\nLaslett allows the infinite series to be represented in terms of elementary\ntrigonometric functions.",
"arxiv_id": "physics/0604013",
"authors": [
"B. B. Levchenko"
],
"categories": [
"physics.acc-ph",
"cond-mat.other",
"hep-ph"
],
"doi": "10.1155/2010/201730",
"journal_ref": "Physics Research International, Vol. 2010 (2010), Article ID\n 201730, 5 pages",
"title": "Real and Image Fields of a Relativistic Bunch",
"url": "https://arxiv.org/abs/physics/0604013"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "f7aa9c1a-d4d4-4b16-a25b-d5b6f71e3d3d",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}