SPE pulse. More...

#include "mdet/Pixel."

Public Member Functions
const std::complex< double >	e (rp, ip)

double	GetAmplitude () const

double	GetMu () const

double	GetSigma () const

double	LowerLimit () const
	Returns the lower temporal limit. More...

return kOverallSign fAmplitude	std::exp (-0.5 *utl::Sqr(x))

Public Attributes
double	const
	Evaluates the pulse in the time-space. More...

std::complex< double >	const
	Evaluates the fourier-transformed pulse in the frequency-space. More...

const double	ip = -1 * fMu * f

	rp = utl::Sqr(fSigma) / 2 * ( utl::Sqr(fMu) / (utl::Sqr(fSigma) * utl::Sqr(fSigma)) - utl::Sqr(f) )

return kOverallSign fAmplitude std::sqrt(2 utl::kPi)fSigma *std doubl	UpperLimit )() const
	Returns the (for all practical purposes) upper temporal limit of the pulse. More...

Private Member Functions
	SPE (const Pixel &p, const double a, const double m, const double s)
	Construct with the parameters. More...

Private Attributes
double	fAmplitude = 0

double	fMu = 0

const Pixel &	fPixel

double	fSigma = 0

Static Private Attributes
static const int	kOverallSign = -1
	Overall sign of the pulses. More...

Friends
class	Pixel

Detailed Description

SPE pulse.

This class represents the Single-Photo-Electron current pulses that are generated on each pixel. The analytical form used so far is a Gaussian pulse, nevertheless that behavior is encapsulated in this class and it's not intended that fact to be explictly used by client code.

The classes used to perform FFT in Offline (a C++ adaptation of fftw) uses the following convention

$Y_k = \sum_{j=0}^{n-1} X_j \exp(-2\pi j k \sqrt{-1} / n)$

With this convention the transformation of a Gaussian pulse like

$\exp(-\alpha x^2)$

is

$\sqrt{\frac{\pi}{\alpha}} \exp(-\frac{(\pi \xi)^2}{\alpha})$

An off-centered Gaussian pulse like

$A \exp(- \frac{1}{2} (\frac{t-\mu}{\sigma})^2)$

gets transformed to the k-space

$A \sqrt{2\pi} \sigma \exp(-\frac{\mu^2}{2\sigma^2} - \mu k i + (\frac{\mu^2}{\sigma^4}-k^2) \frac{\sigma^2}{2})$

Definition at line 98 of file MDetector/Pixel.h.

Constructor & Destructor Documentation

mdet::Pixel::SPE::SPE	(	const Pixel &	p,
		const double	a,
		const double	m,
		const double	s
	)

inlineprivate

Construct with the parameters.

Private constructor from scratch.

Definition at line 161 of file MDetector/Pixel.h.

Member Function Documentation

const std::complex<double> mdet::Pixel::SPE::e	(	rp	,
		ip
	)

double mdet::Pixel::SPE::GetAmplitude ( ) const

inline

Definition at line 136 of file MDetector/Pixel.h.

References fAmplitude.

Referenced by MdOptoElectronicSimulatorAG::MdOptoElectronicSimulator::OptoElectronics(), MdCounterSimulatorAG::MdCounterSimulator::RunFromMEventScintillatorSimulated(), and MdCounterSimulatorAG::MdCounterSimulator::SimulatePulses().

double mdet::Pixel::SPE::GetMu ( ) const

inline

Definition at line 138 of file MDetector/Pixel.h.

References fMu.

Referenced by MdOptoElectronicSimulatorAG::MdOptoElectronicSimulator::OptoElectronics(), MdCounterSimulatorAG::MdCounterSimulator::RunFromMEventScintillatorSimulated(), and MdCounterSimulatorAG::MdCounterSimulator::SimulatePulses().

double mdet::Pixel::SPE::GetSigma ( ) const

inline

Definition at line 140 of file MDetector/Pixel.h.

References fSigma.

Referenced by MdOptoElectronicSimulatorAG::MdOptoElectronicSimulator::OptoElectronics(), MdCounterSimulatorAG::MdCounterSimulator::RunFromMEventScintillatorSimulated(), and MdCounterSimulatorAG::MdCounterSimulator::SimulatePulses().

double mdet::Pixel::SPE::LowerLimit ( ) const

inline

Returns the lower temporal limit.

See Also: UpperLimit.

Definition at line 134 of file MDetector/Pixel.h.

References fMu, fPixel, fSigma, and mdet::Pixel::GetPulseRelevantWidth().

return kOverallSign* fAmplitude* mdet::Pixel::SPE::std::exp ( -0.5 *utl:: Sqrx )

Friends And Related Function Documentation

friend class Pixel

friend

Definition at line 170 of file MDetector/Pixel.h.

Member Data Documentation

double mdet::Pixel::SPE::const

Initial value:

{
        
        const double x = (t - fMu) / fSigma

Evaluates the pulse in the time-space.

Definition at line 104 of file MDetector/Pixel.h.

std::complex<double> mdet::Pixel::SPE::const

Initial value:

{

double rp = -1 * utl::Sqr(fMu) / (2 * utl::Sqr(fSigma))

Evaluates the fourier-transformed pulse in the frequency-space.

Definition at line 118 of file MDetector/Pixel.h.

double mdet::Pixel::SPE::fAmplitude = 0

private

Definition at line 165 of file MDetector/Pixel.h.

Referenced by GetAmplitude().

double mdet::Pixel::SPE::fMu = 0

private

Definition at line 166 of file MDetector/Pixel.h.

Referenced by GetMu(), and LowerLimit().

const Pixel& mdet::Pixel::SPE::fPixel

private

Definition at line 164 of file MDetector/Pixel.h.

Referenced by LowerLimit().

double mdet::Pixel::SPE::fSigma = 0

private

Definition at line 167 of file MDetector/Pixel.h.

Referenced by GetSigma(), and LowerLimit().

const double mdet::Pixel::SPE::ip = -1 * fMu * f

Definition at line 121 of file MDetector/Pixel.h.

const int mdet::Pixel::SPE::kOverallSign = -1

staticprivate

Overall sign of the pulses.

From the PMT the pulses come out as negative current peaks.

Then the front-end channels may invert them as working in an inverting amplifier configuration.

See Also: Channel::ComputeTransfer

Definition at line 154 of file MDetector/Pixel.h.

mdet::Pixel::SPE::rp = utl::Sqr(fSigma) / 2 * ( utl::Sqr(fMu) / (utl::Sqr(fSigma) * utl::Sqr(fSigma)) - utl::Sqr(f) )

Definition at line 120 of file MDetector/Pixel.h.

return kOverallSign* fAmplitude* std::sqrt (2 * utl::kPi) * fSigma * std doubl mdet::Pixel::SPE::UpperLimit)() const

inline

Returns the (for all practical purposes) upper temporal limit of the pulse.

Definition at line 127 of file MDetector/Pixel.h.

The documentation for this class was generated from the following file:

MDetector/Pixel.h

Public Member Functions

Public Attributes

Private Member Functions

Private Attributes

Static Private Attributes

Friends

Detailed Description

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

Member Data Documentation