piel.analysis.electro_optic.modulation

Functions

effective_index_product(n_eff, L_nm, L_active, L_thermal)	Calculate the effective index product for a segment.
relative_phase(phi2, phi1)	Calculate the relative phase difference.
phase_difference(n_eff2, L2, n_eff1, L1, wavelength)	Calculate the phase difference between two segments.
balanced_mzi_phase_difference(delta_n_eff, L, wavelength)	Calculate the phase difference in a balanced Mach-Zehnder Interferometer (MZI).
free_spectral_range(wavelength, n_g, delta_L)	Calculate the free spectral range (FSR).
insertion_loss(P_in_dBm, P_max_dBm)	Calculate the insertion loss of a device in decibels (dB).
extinction_ratio(P_max, P_min)	Calculate the extinction ratio in decibels (dB).
modulated_extinction_ratio(P_H, P_L)	Calculate the modulated extinction ratio in decibels (dB).

Module Contents

effective_index_product(n_eff, L_nm, L_active, L_thermal)

Calculate the effective index product for a segment.

Parameters: n_eff (float): Effective index of the material. L_nm (float): Non-modulated length of the segment (m). L_active (float): Active length of the segment (m). L_thermal (float): Thermal length of the segment (m).

Returns: float: Effective index product.

Formula: .. math:

n_{eff, i} L_i = n_{eff, i} L_{nm, i} + n_{eff, i}(V) L_{active, i} + n_{eff, i}(T) L_{thermal, i}

relative_phase(phi2, phi1)

Calculate the relative phase difference.

Parameters: phi2 (float): Phase at point 2 (radians). phi1 (float): Phase at point 1 (radians).

Returns: float: Relative phase difference.

Formula: .. math:

\Delta \phi = \phi_2 - \phi_1

phase_difference(n_eff2, L2, n_eff1, L1, wavelength)

Calculate the phase difference between two segments.

Parameters: n_eff2 (float): Effective index of segment 2. L2 (float): Length of segment 2 (m). n_eff1 (float): Effective index of segment 1. L1 (float): Length of segment 1 (m). wavelength (float): Wavelength of light (m).

Returns: float: Phase difference (radians).

Formula: .. math:

\Delta \phi =

rac{2 pi (n_{eff, 2}L_2 - n_{eff, 1}L_1)}{lambda_0}

balanced_mzi_phase_difference(delta_n_eff, L, wavelength)

Calculate the phase difference in a balanced Mach-Zehnder Interferometer (MZI).

Parameters: delta_n_eff (float): Difference in effective indices between the arms. L (float): Arm length (m). wavelength (float): Wavelength of light (m).

Returns: float: Phase difference (radians).

Formula: .. math:

\Delta \phi = eta L =

rac{2 pi Delta n_{eff} L }{lambda_0}

free_spectral_range(wavelength, n_g, delta_L)

Calculate the free spectral range (FSR).

Parameters: wavelength (float): Wavelength of light (m). n_g (float): Group index. delta_L (float): Path length difference (m).

Returns: float: Free spectral range (m).

Formula: .. math:

FSR =

rac{lambda^2}{n_{g} Delta L}

insertion_loss(P_in_dBm, P_max_dBm)

Calculate the insertion loss of a device in decibels (dB).

Parameters: P_in_dBm (float): Input power (dBm). P_max_dBm (float): Maximum transmitted power (dBm).

Returns: float: Insertion loss (dB).

Formula: .. math:

IL = P_{in, dBm} - P_{max, dBm}

extinction_ratio(P_max, P_min)

Calculate the extinction ratio in decibels (dB).

Parameters: P_max (float): Maximum power (W). P_min (float): Minimum power (W).

Returns: float: Extinction ratio (dB).

Formula: .. math:

ER = 10 \cdot \log_{10} \left(

rac{P_{max}}{P_{min}} ight)

modulated_extinction_ratio(P_H, P_L)

Calculate the modulated extinction ratio in decibels (dB).

Parameters: P_H (float): High power level (W). P_L (float): Low power level (W).

Returns: float: Modulated extinction ratio (dB).

Formula: .. math:

ER_{mod} = 10 \cdot \log_{10} \left(

rac{P_{H}}{P_{L}} ight)