written by
Corinne A. Manogue and
Kerry P. Browne
published by the Paradigms in Physics Program
This small group activity is designed to help upper division undergraduate students learn how to expand functions in terms of spherical harmonics. Students work in small groups to find the coefficients of a given function expanded in spherical harmonics. The whole class wrap-up discussion includes group presentations focusing on the notion that any function on the unit sphere can be expanded in terms of the orthonormal set of spherical harmonics.
This material is part of the Paradigms in Physics project at Oregon State University. This work promotes the use of active student learning in upper division physics courses. Both learning materials and learning strategies are provided to help both students and instructors.
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Record Link
<a href="https://www.compadre.org/portal/items/detail.cfm?ID=13598">Manogue, Corinne, and Kerry Browne. Paradigms in Physics: Finding the Coefficients of a Spherical Harmonic Series. Corvallis: Paradigms in Physics Program, August 21, 2013.</a>
AIP Format
C. Manogue and K. Browne, (Paradigms in Physics Program, Corvallis, 2008), WWW Document, (http://www.physics.oregonstate.edu/portfolioswiki/acts:cfylmseries).
AJP/PRST-PER
C. Manogue and K. Browne, Paradigms in Physics: Finding the Coefficients of a Spherical Harmonic Series, (Paradigms in Physics Program, Corvallis, 2008), <http://www.physics.oregonstate.edu/portfolioswiki/acts:cfylmseries>.
APA Format
Manogue, C., & Browne, K. (2013, August 21). Paradigms in Physics: Finding the Coefficients of a Spherical Harmonic Series. Retrieved February 18, 2018, from Paradigms in Physics Program: http://www.physics.oregonstate.edu/portfolioswiki/acts:cfylmseries
Chicago Format
Manogue, Corinne, and Kerry Browne. Paradigms in Physics: Finding the Coefficients of a Spherical Harmonic Series. Corvallis: Paradigms in Physics Program, August 21, 2013. http://www.physics.oregonstate.edu/portfolioswiki/acts:cfylmseries (accessed 18 February 2018).
MLA Format
Manogue, Corinne, and Kerry Browne. Paradigms in Physics: Finding the Coefficients of a Spherical Harmonic Series. Corvallis: Paradigms in Physics Program, 2008. 21 Aug. 2013. 18 Feb. 2018 <http://www.physics.oregonstate.edu/portfolioswiki/acts:cfylmseries>.
BibTeX Export Format
@misc{
Author = "Corinne Manogue and Kerry Browne",
Title = {Paradigms in Physics: Finding the Coefficients of a Spherical Harmonic Series},
Publisher = {Paradigms in Physics Program},
Volume = {2018},
Number = {18 February 2018},
Month = {August 21, 2013},
Year = {2008}
}
Refer Export Format
%A Corinne Manogue
EndNote Export Format
%0 Electronic Source Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.
Citation Source Information
The AIP Style presented is based on information from the AIP Style Manual. The APA Style presented is based on information from APA Style.org: Electronic References. The Chicago Style presented is based on information from Examples of Chicago-Style Documentation. The MLA Style presented is based on information from the MLA FAQ. |