Mathieu–Hill Equation Stability Analysis for Trapped Ions: Anharmonic Corrections for Nonlinear Electrodynamic Traps
The stability properties of the Hill equation are discussed, especially those of the Mathieu equation that characterize ion motion in electrodynamic traps. The solutions of the Mathieu-Hill equation for a trapped ion are characterized by employing the Floquet theory and Hill’s method solution, which...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-06-01
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| Series: | Photonics |
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| Online Access: | https://www.mdpi.com/2304-6732/11/6/551 |