On the reflection of Alfvén waves in an ideal magnetoatmosphere
A lineafized theory ofmagnetoatmospheric waves is developed where the restoring forces are those of compressibility and magnetic pressure. An equation for resonance is derived. Reflection and tunneling of upward propagating Alfvén waves in an ideal Magnetoatmosphere are considered. It is shown that...
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| Format: | Article |
| Language: | English |
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Wiley
1998-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171298000520 |
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| author | Hadi Yahya Alkahby M. A. Mahrous |
| author_facet | Hadi Yahya Alkahby M. A. Mahrous |
| author_sort | Hadi Yahya Alkahby |
| collection | DOAJ |
| description | A lineafized theory ofmagnetoatmospheric waves is developed where the restoring forces
are those of compressibility and magnetic pressure. An equation for resonance is derived. Reflection
and tunneling of upward propagating Alfvén waves in an ideal Magnetoatmosphere are considered. It
is shown that the magnetic field produces a reflecting nonabsorbing critical layer. Below the critical
layer, the solution of the problem can be written as a linear combination of an upward and a downward
propagating wave and above it the solution decays exponentially with the altitude. The location of the
critical layer and the magnitude of the reflection coefficient are determined and the conclusions are
discussed in cormeetion with the heating mechanism of the solar atmosphere |
| format | Article |
| id | doaj-art-541bb6c0fe8f4dad9a84a0de0134d683 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-541bb6c0fe8f4dad9a84a0de0134d6832025-02-03T05:59:22ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251998-01-0121238138610.1155/S0161171298000520On the reflection of Alfvén waves in an ideal magnetoatmosphereHadi Yahya Alkahby0M. A. Mahrous1Department of Mathematics, Dillard University, New Orleans 70122, LA, USADepartment of Mathematics, Universty of New Orleans, New Orleans 70148, LA, USAA lineafized theory ofmagnetoatmospheric waves is developed where the restoring forces are those of compressibility and magnetic pressure. An equation for resonance is derived. Reflection and tunneling of upward propagating Alfvén waves in an ideal Magnetoatmosphere are considered. It is shown that the magnetic field produces a reflecting nonabsorbing critical layer. Below the critical layer, the solution of the problem can be written as a linear combination of an upward and a downward propagating wave and above it the solution decays exponentially with the altitude. The location of the critical layer and the magnitude of the reflection coefficient are determined and the conclusions are discussed in cormeetion with the heating mechanism of the solar atmospherehttp://dx.doi.org/10.1155/S0161171298000520Magnetoatmospherecritical layerwave propagation. |
| spellingShingle | Hadi Yahya Alkahby M. A. Mahrous On the reflection of Alfvén waves in an ideal magnetoatmosphere International Journal of Mathematics and Mathematical Sciences Magnetoatmosphere critical layer wave propagation. |
| title | On the reflection of Alfvén waves in an ideal magnetoatmosphere |
| title_full | On the reflection of Alfvén waves in an ideal magnetoatmosphere |
| title_fullStr | On the reflection of Alfvén waves in an ideal magnetoatmosphere |
| title_full_unstemmed | On the reflection of Alfvén waves in an ideal magnetoatmosphere |
| title_short | On the reflection of Alfvén waves in an ideal magnetoatmosphere |
| title_sort | on the reflection of alfven waves in an ideal magnetoatmosphere |
| topic | Magnetoatmosphere critical layer wave propagation. |
| url | http://dx.doi.org/10.1155/S0161171298000520 |
| work_keys_str_mv | AT hadiyahyaalkahby onthereflectionofalfvenwavesinanidealmagnetoatmosphere AT mamahrous onthereflectionofalfvenwavesinanidealmagnetoatmosphere |