Initial pitch-angle of narrowly beamed electrons injected into a magnetic mirror,formation of trapped and precipitating electron distribution,and asymmetry of hard X-ray and microwave footpoint emissions |
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| Institution: | 1. Instituto Español de Oceanografía, Centro Oceanográfico de Murcia, C/ Varadero 1, San Pedro del Pinatar, 30740 Murcia, Spain;2. Instituto Español de Oceanografía, Centro Oceanográfico de Vigo, Subida a Radio Faro, 50-52, Vigo, 36390 Vigo, Spain;1. Antarctic Conservation and Management, Australian Antarctic Division, Kingston, Tasmania, Australia;2. Geoengineering Centre at Queen''s-RMC, Queen''s University, Kingston, Ontario, Canada;1. Group of Evaluation of Health Determinants and Health Policies, Department of Basic Sciences, Universitat Internacional de Catalunya, Carrer de Josep Trueta s/n, 08195 Sant Cugat del Vallès, Barcelona, Spain;2. Tobacco Control Unit, Cancer Prevention and Control Program, Institut Català d′Oncologia, L′Hospitalet de Llobregat, Barcelona, Spain;3. Cancer Prevention and Control Group, Institut d′Investigació Biomèdica de Bellvitge - IDIBELL, L′Hospitalet de Llobregat, Barcelona, Spain;4. Department of Clinical Sciences, Faculty of Medicine and Health Sciences, Universitat de Barcelona, Barcelona, Spain;5. Group of Integrative Pharmacology and Systems Neuroscience, Neurosciences Programme, IMIM (Hospital del Mar Medical Research Institute), Parc de Recerca Biomèdica de Barcelona, Barcelona, Spain;6. Catalan Network of Smoke-free Hospitals, L′Hospitalet de Llobregat, Barcelona, Spain;7. Addictions Unit, Institute of Neurosciences, Hospital Clínic de Barcelona, Barcelona, Spain;8. Department of Experimental and Health Sciences, Universitat Pompeu Fabra, Parc de Recerca Biomèdica de Barcelona, Barcelona, Spain;1. Department of Engineering Sciences and Mathematics, Luleå University of Technology, SE-97187 Luleå, Sweden;2. Institut Jean Lamour, SI2M, Université de Lorraine, EEIGM 6 Rue Bastien Lepage, F-54010 Nancy, France;3. GKN Aerospace, SE-46181, Sweden |
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| Abstract: | A new kind of static distribution function for trapped and precipitating electrons is derived by solving a time-independent Fokker–Planck equation in a magnetic mirror, with injection of initially narrow-beamed electrons at an arbitrary initial pitch-angle. There are two independent parameters to determine the ratio of trapped and precipitating electrons, as well as their emissions, i.e., the mirror ratio and the initial pitch-angle, which is helpful for understanding some new features of asymmetrical hard X-ray and microwave footpoint emissions in solar observations. |
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