Finite dipole model (snompy.fdm)

This module provides functions for simulating the results of scanning near-field optical microscopy (SNOM) experiments by calculating the effective polarizability using the finite dipole model (FDM).

Standard functions

Functions for the effective polarizability of an AFM tip coupled to a sample, and the effective polarizability demodulated at higher harmonics.

eff_pol_n	Return the effective probe-sample polarizability using the finite dipole model, demodulated at harmonics of the tapping frequency.
eff_pol	Return the effective probe-sample polarizability using the finite dipole model.

Inverse functions

Functions to return the quasistatic reflection coefficient of a sample based on the effective polarizability of an AFM tip coupled to the sample.

refl_coef_qs_from_eff_pol_n	Return the quasistatic reflection coefficient corresponding to a particular effective polarizability, demodulated at higher harmonics, using a Taylor series representation of the FDM.
refl_coef_qs_from_eff_pol	Return the quasistatic reflection coefficient corresponding to a particular effective polarizability using the finite dipole model.

Internal functions

These functions are used by the standard functions in this module. In most cases you shouldn’t need to call these functions directly.

geom_func	Return a complex number that encapsulates various geometric properties of the tip-sample system for the finite dipole model.
geom_func_multi	Return a complex number that encapsulates various geometric properties of the tip-sample system for the multilayer finite dipole model.
geom_func_taylor	The height-dependent part of the separable Taylor series expression for the FDM.
taylor_coef	Return the coefficient for the power of reflection coefficient used by the Taylor series representation of the bulk FDM.
eff_pol_n_taylor	Return the effective probe-sample polarizability using the finite dipole model, demodulated at harmonics of the tapping frequency, using a Taylor series representation of the bulk FDM.