rizer.electric_circuit.generator#

Classes#

PurelyResistiveBaseGenerator

A generator with a purely resistive impedance.

TrapezoidalGenerator

Trapezoidal generator.

GaussianGenerator

Gaussian generator.

FromMeasurementGenerator

Generator defined from a measurement function.

ConstantGenerator

Constant generator.

Module Contents#

class rizer.electric_circuit.generator.PurelyResistiveBaseGenerator(R_g: float)#

A generator with a purely resistive impedance.

Parameters:

R_g (float) – Resistance in Ohm.

R_g: float#

Generator impedance, here a constant resistance.

generator_impedance() → float#

Impedance of the generator.

This function should be implemented in the derived class.

Returns:

Generator impedance in Ohm.

Return type:

float

Notes

For a constant resistance, the impedance is the same for all frequencies, therefore:

\[Z_g(f) = R_g\]

where:

  • \(R_g\) is the generator resistance in Ohm.

abstractmethod generator_voltage(t: float) → float#

Voltage of the generator.

The generator voltage can depend on the time. This function should be implemented in the derived class.

Parameters:

t (float) – Time in seconds.

Returns:

Generator voltage in Volts.

Return type:

float

class rizer.electric_circuit.generator.TrapezoidalGenerator(R_g: float = 1.0, U_off: float = 0.0, U_on: float = 10000.0, t_rise: float = 3e-09, t_on: float = 1e-08, t_fall: float = 3e-09)#

Bases: PurelyResistiveBaseGenerator

Trapezoidal generator.

The generator impedance is a constant resistance. The generator voltage is a trapezoidal pulse.

Parameters:

  • R_g (float, optional) – Generator resistance, by default 1.0 Ohm.

  • U_off (float, optional) – Voltage when the pulser is turned off, by default 0.0 V.

  • U_on (float, optional) – Voltage when the pulser is turned on, by default 5e3 V.

  • t_rise (float, optional) – Time to go from U_off to U_on, by default 3e-9 s.

  • t_on (float, optional) – Time to stay at U_on, by default 10e-9 s.

  • t_fall (float, optional) – Time to go from U_on to U_off, by default 3e-9 s.

generator_voltage(t: float) → float#

Trapezoidal voltage pulse.

First, the voltage is at U_off. Then, it rises to U_on in t_rise seconds. Next, it stays at U_on for t_on second. Finally, it falls to U_off in t_fall seconds.

Parameters:

t (float) – Time in seconds.

Returns:

Generator voltage in Volts.

Return type:

float

class rizer.electric_circuit.generator.GaussianGenerator(height: float, mean: float, FWHM: float, R_g: float = 0.0)#

Bases: PurelyResistiveBaseGenerator

Gaussian generator.

The generator impedance is a constant resistance. The generator voltage is a Gaussian pulse.

Parameters:

  • height (float) – Height of the Gaussian pulse [V].

  • mean (float) – Mean (center) of the Gaussian pulse [s].

  • FWHM (float) – Full width at half maximum of the Gaussian pulse [s].

  • R_g (float, optional) – Generator resistance [Ohm], by default 0.0 Ohm.

generator_voltage(t: float) → float#

Return the generator voltage as a Gaussian pulse.

Parameters:

t (float) – Time in seconds.

Returns:

Generator voltage in Volts.

Return type:

float

static gaussian(t: float, height: float, mean: float, FWHM: float) → float#

Return a Gaussian pulse.

Parameters:

  • t (float) – Time in seconds.

  • height (float) – Height of the Gaussian pulse [V].

  • mean (float) – Mean of the Gaussian pulse [s].

  • FWHM (float) – Full width at half maximum of the Gaussian pulse [s].

Returns:

Value of the Gaussian pulse at time t [V].

Return type:

float

class rizer.electric_circuit.generator.FromMeasurementGenerator(R_g: float, V_meas: Callable[[float], float])#

Bases: PurelyResistiveBaseGenerator

Generator defined from a measurement function.

Parameters:

  • R_g (float) – Resistance of the generator [Ohm].

  • V_meas (Callable) – Function that returns the generator voltage at a given time.

generator_voltage(t: float) → float#

Return the generator voltage from a measurement function.

Parameters:

t (float) – Time in seconds.

Returns:

Generator voltage in Volts.

Return type:

float

class rizer.electric_circuit.generator.ConstantGenerator(R_g: float, U_g: float)#

Bases: PurelyResistiveBaseGenerator

Constant generator.

Parameters:

  • R_g (float) – Resistance of the generator [Ohm].

  • U_g (float) – Voltage of the generator [V].

U_g#
generator_voltage(t: float) → float#

Return the generator voltage.

Parameters:

t (float) – Time in seconds.

Returns:

Generator voltage in Volts.

Return type:

float