A new way of obtaining analytic approximations of Chandrasekhar’s H function
Applying the mean value theorem for definite integrals in the non-linear integral equation for Chandrasekhar’s H function describing conservative isotropic scattering, we have derived a new, simple analytic approximation for it, with a maximal relative error below 2.5%. With this new function as a s...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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VINCA Institute of Nuclear Sciences
2007-01-01
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| Series: | Nuclear Technology and Radiation Protection |
| Subjects: | |
| Online Access: | http://www.doiserbia.nb.rs/img/doi/1451-3994/2007/1451-39940702038V.pdf |
| Summary: | Applying the mean value theorem for definite integrals in the non-linear integral equation for Chandrasekhar’s H function describing conservative isotropic scattering, we have derived a new, simple analytic approximation for it, with a maximal relative error below 2.5%. With this new function as a starting-point, after a single iteration in the corresponding integral equation, we have obtained a new, highly accurate analytic approximation for the H function. As its maximal relative error is below 0.07%, it significantly surpasses the accuracy of other analytic approximations. |
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| ISSN: | 1451-3994 |