dorsal/arxiv
View SchemaTheory of directional pulse propagation
| Authors | P. Kinsler, S. B. P. Radnor, G. H. C. New |
|---|---|
| Categories | |
| ArXiv ID | physics/0611215 |
| URL | https://arxiv.org/abs/physics/0611215 |
| DOI | 10.1103/PhysRevA.72.063807 |
| Journal | Phys. Rev. A72, 063807 (2005) |
Abstract
We construct combined electric and magnetic field variables which independently represent energy flows in the forward and backward directions respectively, and use these to re-formulate Maxwell's equations. These variables enable us to not only judge the effect and significance of backward-travelling field components, but also to discard them when appropriate. They thereby have the potential to simplify numerical simulations, leading to potential speed gains of up to 100% over standard FDTD or PSSD simulations. We present results for various illustrative situations, including an example application to second harmonic generation in periodically poled lithium niobate. These field variables are also used to derive both envelope equations useful for narrow-band pulse propagation, and a second order wave equation. Alternative definitions are also presented.
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"abstract": "We construct combined electric and magnetic field variables which\nindependently represent energy flows in the forward and backward directions\nrespectively, and use these to re-formulate Maxwell\u0027s equations. These\nvariables enable us to not only judge the effect and significance of\nbackward-travelling field components, but also to discard them when\nappropriate. They thereby have the potential to simplify numerical simulations,\nleading to potential speed gains of up to 100% over standard FDTD or PSSD\nsimulations. We present results for various illustrative situations, including\nan example application to second harmonic generation in periodically poled\nlithium niobate. These field variables are also used to derive both envelope\nequations useful for narrow-band pulse propagation, and a second order wave\nequation. Alternative definitions are also presented.",
"arxiv_id": "physics/0611215",
"authors": [
"P. Kinsler",
"S. B. P. Radnor",
"G. H. C. New"
],
"categories": [
"physics.optics"
],
"doi": "10.1103/PhysRevA.72.063807",
"journal_ref": "Phys. Rev. A72, 063807 (2005)",
"title": "Theory of directional pulse propagation",
"url": "https://arxiv.org/abs/physics/0611215"
},
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