JPHYSICS::JDispersion Class Reference

Implementation of dispersion for water in deep sea. More...

#include <JDispersion.hh>

Inheritance diagram for JPHYSICS::JDispersion:

Public Member Functions
	JDispersion (const double P_atm)
	Constructor. More...
virtual double	getIndexOfRefractionPhase (const double lambda) const
	Index of refraction (phase velocity). More...
virtual double	getDispersionPhase (const double lambda) const
	Dispersion of light for phase velocity. More...
virtual double	getDispersionGroup (const double lambda) const
	Dispersion of light for group velocity. More...
virtual double	getIndexOfRefractionGroup (const double lambda) const
	Index of refraction for group velocity. More...
double	getKappa (const double lambda) const
	Get effective index of refraction for muon light. More...
double	getKmin (const double lambda) const
	Get smallest index of refraction for Bremsstrahlung light (i.e. point at which dt/dz = 0). More...

Public Attributes
const double	P
	Dispersion parameters (x = 1/lambda) More...
const double	a0
	offset More...
const double	a1
	dn/dP More...
const double	a2
	d^1n/(dx)^1 More...
const double	a3
	d^2n/(dx)^2 More...
const double	a4
	d^3n/(dx)^3 More...

Detailed Description

Implementation of dispersion for water in deep sea.

This class implements the JDispersionInterface interface.

Light dispersion data are taken from reference: David J.L. Bailey, "Monte Carlo tools and analysis methods for understanding the ANTARES experiment and predicting its sensitivity to Dark Matter", PhD thesis, University of Oxford, United Kingdom, 2002.

Definition at line 26 of file JDispersion.hh.

Constructor & Destructor Documentation

JPHYSICS::JDispersion::JDispersion ( const double  P_atm )

inline

Constructor.

Parameters

P_atm

ambient pressure [atm]

Definition at line 35 of file JDispersion.hh.

                                    :
      P (P_atm),              // ambient pressure [atm]
      a0(  1.3201),           // offset
      a1(  1.4e-5),           // dn/dP
      a2( 16.2566),           // d^1n/(dx)^1
      a3(-4383.0),            // d^2n/(dx)^2
      a4(  1.1455e6)          // d^3n/(dx)^3
    {}

Member Function Documentation

virtual double JPHYSICS::JDispersion::getIndexOfRefractionPhase ( const double  lambda ) const

inlinevirtual

Index of refraction (phase velocity).

Parameters

lambda

wavelenth [nm]

Returns

index of refraction

Implements JPHYSICS::JDispersionInterface.

Definition at line 51 of file JDispersion.hh.

    {
      const double x = 1.0 / lambda;

      return a0  +  a1*P  +  x*(a2 + x*(a3 + x*a4));
    }

virtual double JPHYSICS::JDispersion::getDispersionPhase ( const double  lambda ) const

inlinevirtual

Dispersion of light for phase velocity.

Parameters

lambda

wavelength of light [nm]

Returns

dn/dlambda

Implements JPHYSICS::JDispersionInterface.

Definition at line 65 of file JDispersion.hh.

    {
      const double x = 1.0 / lambda;
      
      return -x*x*(a2 + x*(2.0*a3 + x*3.0*a4));
    }

virtual double JPHYSICS::JDispersion::getDispersionGroup ( const double  lambda ) const

inlinevirtual

Dispersion of light for group velocity.

Parameters

lambda

wavelength of light [nm]

Returns

dn/dlambda

Implements JPHYSICS::JDispersionInterface.

Definition at line 79 of file JDispersion.hh.

    {
      const double x = 1.0 / lambda;

      const double n   = getIndexOfRefractionPhase(lambda);
      const double np  = getDispersionPhase(lambda);
      const double npp = x*x*x*(2.0*a2 + x*(6.0*a3 + x*12.0*a4));
      const double ng  = n / (1.0 + np*lambda/n);
      
      return ng*ng * (2*np*np - n*npp) * lambda / (n*n*n);
    }

virtual double JPHYSICS::JDispersionInterface::getIndexOfRefractionGroup ( const double  lambda ) const

inlinevirtualinherited

Index of refraction for group velocity.

Parameters

lambda

wavelenth [nm]

Returns

index of refraction

Definition at line 52 of file JDispersionInterface.hh.

    {
      const double n = getIndexOfRefractionPhase(lambda);
      const double y = getDispersionPhase(lambda);
      
      return n / (1.0 + y*lambda/n);
    }

double JPHYSICS::JDispersionInterface::getKappa ( const double  lambda ) const

inlineinherited

Get effective index of refraction for muon light.

Parameters

lambda

wavelength of light [nm]

Returns

index of refraction

Definition at line 76 of file JDispersionInterface.hh.

    {
      const double n  = getIndexOfRefractionPhase(lambda);
      const double ng = getIndexOfRefractionGroup(lambda);

      return (ng * n - 1.0) / sqrt(n*n - 1.0);
    }

double JPHYSICS::JDispersionInterface::getKmin ( const double  lambda ) const

inlineinherited

Get smallest index of refraction for Bremsstrahlung light (i.e. point at which dt/dz = 0).

Parameters

lambda

wavelength of light [nm]

Returns

index of refraction

Definition at line 91 of file JDispersionInterface.hh.

    {
      const double ng = getIndexOfRefractionGroup(lambda);

      return sqrt(ng*ng - 1.0);
    }

Member Data Documentation

const double JPHYSICS::JDispersion::P

Dispersion parameters (x = 1/lambda)

ambient pressure [atm]

Definition at line 95 of file JDispersion.hh.

const double JPHYSICS::JDispersion::a0

offset

Definition at line 96 of file JDispersion.hh.

const double JPHYSICS::JDispersion::a1

dn/dP

Definition at line 97 of file JDispersion.hh.

const double JPHYSICS::JDispersion::a2

d^1n/(dx)^1

Definition at line 98 of file JDispersion.hh.

const double JPHYSICS::JDispersion::a3

d^2n/(dx)^2

Definition at line 99 of file JDispersion.hh.

const double JPHYSICS::JDispersion::a4

d^3n/(dx)^3

Definition at line 100 of file JDispersion.hh.

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

• JDispersion.hh