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Shared numerical and vector algebra toolkit for MNPBEM-Python.

Project description

mnpbem-misc

mnpbem-misc provides shared numerical utilities used across MNPBEM-Python submodules.

Features

  • Physical unit conversions between photon energy and wavelength.
  • Vector norms and normalization utilities with MATLAB-compatible behavior.
  • Tensor-aware linear algebra helpers (matmul, matcross, inner, outer, spdiag).

Mathematical Formulations

1. Photon Energy-Wavelength Conversion

The conversion between photon energy and wavelength is:

$$ \lambda_{\mathrm{nm}} = \frac{C_{\mathrm{eV\cdot nm}}}{E_{\mathrm{eV}}}, \qquad C_{\mathrm{eV\cdot nm}} \approx 1239.841984 $$

2. Euclidean Vector Norm

For a vector $\mathbf{v}$:

$$ |\mathbf{v}|_2 = \sqrt{\sum_i |v_i|^2} $$

3. Vector Normalization

Normalized vector:

$$ \tilde{\mathbf{v}} = \frac{\mathbf{v}}{|\mathbf{v}_{\mathrm{ref}}|_2} $$

Implementation

  • Unit conversion utilities: src/mnpbem_misc/units.py
  • Vector operations: src/mnpbem_misc/vector.py
  • Linear algebra helpers: src/mnpbem_misc/linalg.py

Dependencies

Runtime dependencies are installed automatically by pip:

  • numpy>=1.24

Installation

pip install mnpbem-misc

Example Usage

Runnable example:

  • examples/basic_usage.py

Run:

python examples/basic_usage.py

Author

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