dorsal/arxiv
View SchemaSqueezing of open boundaries by Maxwell-consistent real coordinate transformation
| Authors | Dzmitry M. Shyroki |
|---|---|
| Categories | |
| ArXiv ID | physics/0605004 |
| URL | https://arxiv.org/abs/physics/0605004 |
| DOI | 10.1109/LMWC.2006.884768 |
| Journal | IEEE Microw. Wirel. Comp. Lett., vol. 16, no. 11, pp. 576-578, 2006 |
Abstract
To simulate open boundaries within finite computation domain, real-function coordinate transformation in the framework of generally covariant formulation of Maxwell equations is proposed. The mapping--realized with arctangent function here--has a transparent geometric meaning of pure squeezing of space, is admissible by classical electrodynamics, does not introduce artificially lossy layers (or `lossy coordinates') to absorb outgoing radiation nor leads to non-Maxwellian fields. At the same time, like for anisotropic perfectly matched layers, no modification (except for transformation of material tensors) is needed to existing nearest-neighbor computation schemes, which makes it well suited for parallel computing implementation.
{
"annotation_id": "fa9b49e7-340f-4776-af50-104bc13ad9ef",
"date_created": "2026-03-02T18:01:07.646000Z",
"date_modified": "2026-03-02T18:01:07.646000Z",
"file_hash": "f4fb366602a19a185c64c3ae886660a26e813fefc3edf6b6ed2cbf8c029e5eaf",
"private": false,
"record": {
"abstract": "To simulate open boundaries within finite computation domain, real-function\ncoordinate transformation in the framework of generally covariant formulation\nof Maxwell equations is proposed. The mapping--realized with arctangent\nfunction here--has a transparent geometric meaning of pure squeezing of space,\nis admissible by classical electrodynamics, does not introduce artificially\nlossy layers (or `lossy coordinates\u0027) to absorb outgoing radiation nor leads to\nnon-Maxwellian fields. At the same time, like for anisotropic perfectly matched\nlayers, no modification (except for transformation of material tensors) is\nneeded to existing nearest-neighbor computation schemes, which makes it well\nsuited for parallel computing implementation.",
"arxiv_id": "physics/0605004",
"authors": [
"Dzmitry M. Shyroki"
],
"categories": [
"physics.comp-ph"
],
"doi": "10.1109/LMWC.2006.884768",
"journal_ref": "IEEE Microw. Wirel. Comp. Lett., vol. 16, no. 11, pp. 576-578,\n 2006",
"title": "Squeezing of open boundaries by Maxwell-consistent real coordinate transformation",
"url": "https://arxiv.org/abs/physics/0605004"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "8a84153a-7bb8-41b9-a977-76540c8ed5bc",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}