Weber Functions (Parabolic Cylinder Functions)
These functions calculates the even/odd Weber’s parabolic cylinder functions which are solutions of the Weber equation (parabolic cylinder equation):
d^2y/dz^2+(z^2/4-a)y=0
For more information about Weber functions:
Miguel A. Bandres and B.M. Rodriguez-Lara, "Nondiffracting accelerating waves: Weber waves and
parabolic momentum" New Journal of Physics, 15(013054) (2013) ( http://goo.gl/XfaVqq )
Miguel A. Bandres, J. C. Gutiérrez-Vega, and S. Chávez-Cerda, "Parabolic nondiffracting optical wavefields"
Optics Letters, 29(1), 44-46 (2004) ( http://goo.gl/KhmqQY )
AUTHOR: Miguel A. Bandres ( www.mabandres.com )
Cite As
Miguel A. Bandres (2024). Weber Functions (Parabolic Cylinder Functions) (https://www.mathworks.com/matlabcentral/fileexchange/46131-weber-functions-parabolic-cylinder-functions), MATLAB Central File Exchange. Retrieved .
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- Mathematics and Optimization > Partial Differential Equation Toolbox > Domain-Specific Modeling > Structural Mechanics >
Tags
Acknowledgements
Inspired: open loop ac buck-boost voltage regulator(4 switch)
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Version | Published | Release Notes | |
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1.1 | Updated to Toolbox. |
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1.0.0.0 |