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Resistive wall impedance as derivative of the electric capacitance for a beam pipe of arbitrary cross section
We derive a general formula expressing the resistive wall impedance in the ultrarelativistic limit for a beam pipe of arbitrary cross section through the 'normal derivative' of its electric capacitance. An application to the case of rectangular cross secrion yields a closed form of express...
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| Lenguaje: | eng |
| Publicado: |
1995
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| Acceso en línea: | https://dx.doi.org/10.1103/PhysRevE.53.2802 http://cds.cern.ch/record/292012 |
| _version_ | 1780888701366173696 |
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| author | Ruggiero, F |
| author_facet | Ruggiero, F |
| author_sort | Ruggiero, F |
| collection | CERN |
| description | We derive a general formula expressing the resistive wall impedance in the ultrarelativistic limit for a beam pipe of arbitrary cross section through the 'normal derivative' of its electric capacitance. An application to the case of rectangular cross secrion yields a closed form of expression of the corresponding longitudinal impedance in terms of elliptic integrals. |
| id | cern-292012 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 1995 |
| record_format | invenio |
| spelling | cern-2920122023-05-05T12:57:20Zdoi:10.1103/PhysRevE.53.2802http://cds.cern.ch/record/292012engRuggiero, FResistive wall impedance as derivative of the electric capacitance for a beam pipe of arbitrary cross sectionAccelerators and Storage RingsWe derive a general formula expressing the resistive wall impedance in the ultrarelativistic limit for a beam pipe of arbitrary cross section through the 'normal derivative' of its electric capacitance. An application to the case of rectangular cross secrion yields a closed form of expression of the corresponding longitudinal impedance in terms of elliptic integrals.CERN-SL-95-95-APoai:cds.cern.ch:2920121995-11-07 |
| spellingShingle | Accelerators and Storage Rings Ruggiero, F Resistive wall impedance as derivative of the electric capacitance for a beam pipe of arbitrary cross section |
| title | Resistive wall impedance as derivative of the electric capacitance for a beam pipe of arbitrary cross section |
| title_full | Resistive wall impedance as derivative of the electric capacitance for a beam pipe of arbitrary cross section |
| title_fullStr | Resistive wall impedance as derivative of the electric capacitance for a beam pipe of arbitrary cross section |
| title_full_unstemmed | Resistive wall impedance as derivative of the electric capacitance for a beam pipe of arbitrary cross section |
| title_short | Resistive wall impedance as derivative of the electric capacitance for a beam pipe of arbitrary cross section |
| title_sort | resistive wall impedance as derivative of the electric capacitance for a beam pipe of arbitrary cross section |
| topic | Accelerators and Storage Rings |
| url | https://dx.doi.org/10.1103/PhysRevE.53.2802 http://cds.cern.ch/record/292012 |
| work_keys_str_mv | AT ruggierof resistivewallimpedanceasderivativeoftheelectriccapacitanceforabeampipeofarbitrarycrosssection |