An application of the exactified Poincaré asymptotic expansion of the Hankel integral to thin film thermography

Authors

  • Nathalie Liezel Rojas National Institute of Physics, University of the Philippines Diliman
  • Eric A Galapon National Institute of Physics, University of the Philippines Diliman

Abstract

We use the distribution approach to asymptotics to obtain an asymptotic expansion of the Hankel integral appearing in the theory of thermal diffusivity of polymer thin films for arbitrarily large values of the asymptotic parameter. We find that the method recovers exponentially small terms in the asymptotic expansion of the Hankel integral, and yields the exactification of the Poincaré expansion. The expansion is then applied to moderate and small values of the parameter. It is demonstrated that the exactified expansion yields a much more accurate approximation of the Hankel integral than the power-type asymptotic expansion for non-large values of the parameter.

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Published

2020-10-19

How to Cite

[1]
NL Rojas and EA Galapon, An application of the exactified Poincaré asymptotic expansion of the Hankel integral to thin film thermography, Proceedings of the Samahang Pisika ng Pilipinas 38, SPP-2020-2G-10 (2020). URL: https://proceedings.spp-online.org/article/view/SPP-2020-2G-10.

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Section

Theoretical and Mathematical Physics (Short Presentations)