Package 'radar'

Title: Fundamental Formulas for Radar
Description: Fundamental formulas for Radar, for attenuation, range, velocity, effectiveness, power, scatter, doppler, geometry, radar equations, etc. Based on Nick Guy's Python package PyRadarMet
Authors: Jose' Gama [aut, cre], Nick Guy [aut]
Maintainer: Jose' Gama <[email protected]>
License: GPL (>= 3)
Version: 1.0.0
Built: 2024-12-01 08:49:52 UTC
Source: CRAN

Help Index

Antenna Characteristics for Aperture Weighting Functions

Description

ApertureWeightingFunctionsAntenna has Antenna Characteristics for Aperture Weighting Functions

Usage

ApertureWeightingFunctionsAntenna

Author(s)

Jose Gama

Source

G. Richard Curry, 2011 SciTech Publishing Radar Essentials, A Concise Handbook for Radar Design and Performance Analysis

References

G. Richard Curry, 2011 SciTech Publishing Radar Essentials, A Concise Handbook for Radar Design and Performance Analysis

Examples

data(ApertureWeightingFunctionsAntenna)
str(ApertureWeightingFunctionsAntenna)

Absorption coefficient of a spherical particle

Description

AttenuationAbsCoeff Absorption coefficient of a spherical particle. From Doviak and Zrnic (1993), Eqn 3.14a or Battan (1973), Eqn 6.6

Usage

AttenuationAbsCoeff(D, lam, m)

Arguments

D

Particle diameter (m)
lam

Radar wavelength (m)
m

Complex refractive index (unitless)

Value

Qa

Absorption coefficient [unitless]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

Doviak, R.J. and Zrnic, D.S., 1993 Doppler radar and weather observations, Academic Press

Louis J. Battan, 1973 Radar Observation of the Atmosphere University of Chicago Press

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

Doviak, R.J. and Zrnić, D.S., 1993 Doppler radar and weather observations, Academic Press

Louis J. Battan, 1973 Radar Observation of the Atmosphere University of Chicago Press

Extinction coefficient of a spherical particle

Description

AttenuationExtCoeff Extinction coefficient of a spherical particle. From Doviak and Zrnic (1993), Eqn 3.14a or Battan (1973), Eqn 6.5

Usage

AttenuationExtCoeff(D, lam, m)

Arguments

D

Particle diameter (m)
lam

Radar wavelength (m)
m

Complex refractive index (unitless)

Value

Qe

Extinction coefficient [unitless]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

Doviak, R.J. and Zrnic, D.S., 1993 Doppler radar and weather observations, Academic Press

Louis J. Battan, 1973 Radar Observation of the Atmosphere University of Chicago Press

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

Doviak, R.J. and Zrnić, D.S., 1993 Doppler radar and weather observations, Academic Press

Louis J. Battan, 1973 Radar Observation of the Atmosphere University of Chicago Press

Scattering coefficient of a spherical particle

Description

AttenuationScatCoeff Scattering coefficient of a spherical particle. From Doviak and Zrnic (1993), Eqn 3.14a or Battan (1973), Eqn 6.5

Usage

AttenuationScatCoeff(D, lam, m)

Arguments

D

Particle diameter (m)
lam

Radar wavelength (m)
m

Complex refractive index (unitless)

Value

Qs

Scattering coefficient [unitless]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

Doviak, R.J. and Zrnic, D.S., 1993 Doppler radar and weather observations, Academic Press

Louis J. Battan, 1973 Radar Observation of the Atmosphere University of Chicago Press

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

Doviak, R.J. and Zrnić, D.S., 1993 Doppler radar and weather observations, Academic Press

Louis J. Battan, 1973 Radar Observation of the Atmosphere University of Chicago Press

Conversion from dBZ (log) units to linear Z units

Description

ConversiondBZ2Z Converts from dBZ (log) units to linear Z units

Usage

ConversiondBZ2Z(dBZ)

Arguments

dBZ

logarithmic reflectivity value

Value

Z

linear reflectivity units

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

Conversion from linear Z units to dBZ (log) units

Description

ConversionZ2dBZ Converts from linear Z units to dBZ (log) units

Usage

ConversionZ2dBZ(Zlin)

Arguments

Zlin

linear reflectivity units

Value

dBZ

logarithmic reflectivity value

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

Doppler dilemma

Description

DopplerDilemma returns the Doppler dilemma From Rinehart (1997), Eqn 6.12

Usage

DopplerDilemma(inFloat, lam, speedOfLight)

Arguments

inFloat

Nyquist Velocity [m/s] or Maximum unambiguous range [m]
lam

Radar wavelength [m]
speedOfLight

speed of light

Value

Rmax

Maximum unambiguous range [m]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

Maximum frequency given PRF

Description

DopplerFmax returns the PRF for a maximum frequency From Rinehart (1997), Eqn 6.8

Usage

DopplerFmax(PRF)

Arguments

PRF

Pulse repetition frequency [Hz]

Value

f

Maximum frequency [Hz]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

Frequency given wavelength

Description

DopplerFreq Converts from wavelength to frequency

Usage

DopplerFreq(lam, speedOfLight)

Arguments

lam

Wavelength [m]
speedOfLight

speed of light

Value

f

Frequency [Hz]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

Pulse duration from pulse length

Description

DopplerPulseDuration Converts from pulse length to pulse duration

Usage

DopplerPulseDuration(tau, speedOfLight)

Arguments

tau

Pulse length [m]
speedOfLight

speed of light

Value

pDur

Pulse duration [s]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

Pulse length from pulse duration

Description

DopplerPulseLength Converts from pulse duration to pulse length

Usage

DopplerPulseLength(pDur, speedOfLight)

Arguments

pDur

Pulse duration [s]
speedOfLight

speed of light

Value

tau

Pulse length [m]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

Maximum unamiguous range

Description

DopplerRmax returns the maximum unamiguous range From Rinehart (1997), Eqn 6.11

Usage

DopplerRmax(PRF, speedOfLight)

Arguments

PRF

Pulse repetition frequency [Hz]
speedOfLight

speed of light

Value

Rmax

Maximum unambiguous range [m]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

Nyquist velocity, or maximum unambiguous Doppler velocity (+ or -)

Description

DopplerVmax returns the Nyquist velocity, or maximum unambiguous Doppler velocity (+ or -). From Rinehart (1997), Eqn 6.8

Usage

DopplerVmax(PRF, lam)

Arguments

PRF

Pulse repetition frequency [Hz]
lam

Radar wavelength [m]

Value

Vmax

Nyquist velocity [m/s], +/-

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

Doppler velocity from dual PRF scheme radar (+ or -)

Description

DopplerVmaxDual returns Doppler velocity [m/s] from a mobile platform. From Jorgensen (1983), Eqn 2

Usage

DopplerVmaxDual(lam, PRF1, PRF2)

Arguments

lam

Radar wavelength [m]
PRF1

First Pulse repetition frequency [Hz]
PRF2

Second Pulse repetition frequency [Hz]

Value

Vmax

Doppler velocity [m/s]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

Jorgensen, D., Hildebrand, P.H., and Frush, C., 1983 Feasibility test of an airborne pulse-Doppler meteorological Radar J. Clim. Appl. Meteorol

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

Jorgensen, D., Hildebrand, P.H., and Frush, C., 1983 Feasibility test of an airborne pulse-Doppler meteorological Radar J. Clim. Appl. Meteorol

Adjusted Doppler velocity from a mobile platform

Description

DopplerVshift returns Adjusted Doppler velocity from a mobile platform. From Jorgensen (1983), Eqn 2

Usage

DopplerVshift(GS, psi)

Arguments

GS

Gound speed [m/s]
psi

Angle between actual azimuth and fore/aft angle [deg]

Value

Vshift

Shift in Doppler velocity from mobile aspect [m/s]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

Jorgensen, D., Hildebrand, P.H., and Frush, C., 1983 Feasibility test of an airborne pulse-Doppler meteorological Radar J. Clim. Appl. Meteorol

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

Jorgensen, D., Hildebrand, P.H., and Frush, C., 1983 Feasibility test of an airborne pulse-Doppler meteorological Radar J. Clim. Appl. Meteorol

Wavelength given frequency

Description

DopplerWavelength Converts from frequency to wavelength

Usage

DopplerWavelength(freq, speedOfLight)

Arguments

freq

Frequency [Hz]
speedOfLight

speed of light

Value

lam

Wavelength [m]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

Electronic Warfare Frequency Bands

Description

ElectronicWarfareFrequencyBands has Electronic Warfare Frequency Bands

Usage

ElectronicWarfareFrequencyBands

Author(s)

Jose Gama

Source

G. Richard Curry, 2011 SciTech Publishing Radar Essentials, A Concise Handbook for Radar Design and Performance Analysis

References

G. Richard Curry, 2011 SciTech Publishing Radar Essentials, A Concise Handbook for Radar Design and Performance Analysis

Examples

data(ElectronicWarfareFrequencyBands)
str(ElectronicWarfareFrequencyBands)

Partial beam blockage fraction

Description

GeometryBeamBlockFrac returns the partial beam blockage fraction From Bech et al. (2003), Eqn 2 and Appendix

Usage

GeometryBeamBlockFrac(Th, Bh, a)

Arguments

Th

Terrain height [m]
Bh

Beam height [m]
a

Half power beam radius [m]

Value

PBB

Partial beam blockage fraction [unitless]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

Bech et al, 2003 The Sensitivity of Single Polarization Weather Radar Beam Blockage Correction to Variability in the Vertical Refractivity Gradient American Meteorological Society, AMS journals Volume 20 Issue 6

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

Bech et al, 2003 The Sensitivity of Single Polarization Weather Radar Beam Blockage Correction to Variability in the Vertical Refractivity Gradient American Meteorological Society, AMS journals Volume 20 Issue 6

Half-power radius

Description

GeometryHalfPowerRadius returns the half-power radius Battan (1973)

Usage

GeometryHalfPowerRadius(r, bwhalf)

Arguments

r

Range [m]
bwhalf

Half-power beam width [degrees]

Value

Rhalf

Half-power radius [m]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

Louis J. Battan, 1973 Radar Observation of the Atmosphere University of Chicago Press

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

Louis J. Battan, 1973 Radar Observation of the Atmosphere University of Chicago Press

Half-power radius

Description

GeometryRangeCorrect returns the half-power radius From CSU Radar Meteorology AT 741 Notes

Usage

GeometryRangeCorrect(r, h, E)

Arguments

r

Distance to sample volume from radar [m]
h

Height of the center of radar volume [m]
E

Elevation angle [deg]

Value

rnew

Adjusted range to sample volume [m]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

CSU Radar Meteorology AT 741 Notes

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

CSU Radar Meteorology AT 741 Notes

Center of radar beam height calculation

Description

GeometryRayHeight returns the center of radar beam height From Rinehart (1997), Eqn 3.12, Bech et al. (2003) Eqn 3

Usage

GeometryRayHeight(r, elev, H0, R1=kConstantR43)

Arguments

r

Range from radar to point of interest [m]
elev

Elevation angle of radar beam [deg]
H0

Height of radar antenna [m]
R1

Effective radius [m]

Value

h

Radar beam height [m]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

Effective radius calculation

Description

GeometryReffective returns the effective radius From Rinehart (1997), Eqn 3.9, solved for R'

Usage

GeometryReffective(dNdH=-39e-6, earthRadius)

Arguments

dNdH

Refraction [N x10^-6/km]
earthRadius

earth radius [m]

Value

R

Effective radius [m]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

Sample volume assuming transmitted energy in Gaussian beam shape

Description

GeometrySampleVolGauss returns the sample volume assuming transmitted energy in Gaussian beam shape. From Rinehart (1997), Eqn 5.4

Usage

GeometrySampleVolGauss(r, bwH, bwV, pLength)

Arguments

r

Range from radar to point of interest [m]
bwH

Horizontal beamwidth [deg]
bwV

Vertical beamwidth deg]
pLength

Pulse length [m]

Value

sVol

Sample Volume [m^3]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

Sample volume (idealized) assuming all power in half-power beamwidths

Description

GeometrySampleVolIdeal returns the sample volume (idealized) From Rinehart (1997), Eqn 5.2

Usage

GeometrySampleVolIdeal(r, bwH, bwV, pLength)

Arguments

r

Range from radar to point of interest [m]
bwH

Horizontal beamwidth [deg]
bwV

Vertical beamwidth deg]
pLength

Pulse length [m]

Value

sVol

Sample Volume [m^3]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

Constant speed of light

Description

kConstantSpeedOfLight is "c" the constant speed of light [m/s].

kConstantSLP Sea-level Pressure [hPa].

kConstantP0 Reference pressure [hPa].

kConstantRe Earth's radius [m].

kConstantR43 4/3 Approximation effective radius for standard atmosphere [m].

kConstantBoltz Boltzmann's constant [ m^2 kg s^-2 K^-1].

Usage

kConstantSpeedOfLight

Author(s)

Jose Gama

Examples

print(kConstantSpeedOfLight)

Antenna effective area

Description

SystemAntEffArea returns the antenna effective area From Rinehart (1997), Eqn 4.5

Usage

SystemAntEffArea(G, lam)

Arguments

G

Antenna Gain [dB]
lam

Radar wavelength [m]

Value

Ae

Antenna effective area [unitless]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

Frequency given wavelength

Description

SystemFreq Converts from wavelength to frequency

Usage

SystemFreq(lam, speedOfLight)

Arguments

lam

Wavelength [m]
speedOfLight

speed of light

Value

f

Frequency [Hz]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

Antenna gain via power ratio

Description

SystemGainPratio returns the antenna gain via power ratio From Rinehart (1997), Eqn 2.1

Usage

SystemGainPratio(P1, P2)

Arguments

P1

Power on the beam axis [W]
P2

Power from an isotropic antenna [W]

Value

G

Gain [dB]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

Normalized Backscatter cross-sectional area of a sphere using the Rayleigh approximation

Description

SystemNormXsecBscatterSphere returns the normalized Backscatter cross-sectional area of a sphere using the Rayleigh approximation From Rinehart (1997), Eqn 4.9 and 5.7 and Battan Ch. 4.5

Usage

SystemNormXsecBscatterSphere(D, lam, K=0.93)

Arguments

D

Diameter of target [m]
lam

Radar wavelength [m]
K

Dielectric factor [unitless]

Value

sigNorm

Normalized backscatter cross-section [unitless]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

L. J. Battan, 1973 Radar observation of the atmosphere The University of Chicago Press

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

L. J. Battan, 1973 Radar observation of the atmosphere The University of Chicago Press

Power returned by target located at the center of the antenna beam pattern

Description

SystemPowerReturnTarget returns Power returned by target located at the center of the antenna beam pattern From Rinehart (1997), Eqn 4.7

Usage

SystemPowerReturnTarget(Pt, G, lam, sig, r)

Arguments

Pt

Transmitted power [W]
G

Antenna gain [dB]
lam

Radar wavelength [m]
sig

Backscattering cross-sectional area of target [m^2]
r

Distance to sample volume from radar [m]

Value

Pr

Power returned by target [m]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

Power intercepted by target

Description

SystemPowerTarget returns the power intercepted by target From Rinehart (1997), Eqn 4.3

Usage

SystemPowerTarget(Pt, G, Asig, r)

Arguments

Pt

Transmitted power [W]
G

Antenna gain [dB]
Asig

Area of target [m^2]
r

Distance to sample volume from radar [m]

Value

Psig

Power intecepted by target [m]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

Radar constant

Description

SystemRadarConst returns radar constant From CSU Radar Meteorology notes, AT 741

Usage

SystemRadarConst(Pt, G, Tau, lam, bwH, bwV, Lm, Lr)

Arguments

Pt

Transmitted power [W]
G

Antenna gain [dB]
Tau

Pulse Width [s]
lam

Radar wavelength [m]
bwH

Horizontalntenna beamwidth [degrees]
bwV

Vertical antenna beamwidth [degrees]
Lm

Antenna/waveguide/coupler loss [dB]
Lr

Receiver loss [dB]

Value

C

Radar constant [unitless]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

CSU Radar Meteorology notes, AT 741

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

CSU Radar Meteorology notes, AT 741

Size parameter calculation

Description

SystemSizeParam returns the size parameter calculation From Rinehart (1997), Eqn 4.9 and 5.7 and Battan Ch. 4.5

Usage

SystemSizeParam(D, lam)

Arguments

D

Diameter of target [m]
lam

Radar wavelength [m]

Value

alpha

Size parameter [unitless]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

L. J. Battan, 1973 Radar observation of the atmosphere The University of Chicago Press

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

L. J. Battan, 1973 Radar observation of the atmosphere The University of Chicago Press

Thermal noise power

Description

SystemThermalNoise returns the thermal noise power From CSU Radar Meteorology notes, AT741

Usage

SystemThermalNoise(Bn, Units, Ts=290, k=kConstantBoltz)

Arguments

Bn

Receiver bandwidth [Hz]
Units

String of nits desired, can be 'W' or 'dBm'
Ts

Reciever noise temperature [K]
k

Boltzmann's constant

Value

nt

Thermal noise power [W or 'dBm']

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

CSU Radar Meteorology notes, AT741

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

CSU Radar Meteorology notes, AT741

Wavelength given frequency

Description

Systemwavelength Converts from frequency to wavelength

Usage

Systemwavelength(freq, speedOfLight)

Arguments

freq

Frequency [Hz]
speedOfLight

speed of light

Value

lam

Wavelength [m]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

Backscatter cross-sectional area of a sphere using the Rayleigh approximation

Description

SystemXsecBscatterSphere returns Backscatter cross-sectional area of a sphere using the Rayleigh approximation From Rinehart (1997), Eqn 4.9 and 5.7

Usage

SystemXsecBscatterSphere(D, lam, K=0.93)

Arguments

D

Diameter of target [m]
lam

Radar wavelength [m]
K

Dielectric factor [unitless]

Value

sig

Backscattering cross-section [m*2]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

Circular depolarization ratio

Description

VariablesCDR returns the circular depolarization ratio From Rinehart (1997), Eqn 10.2

Usage

VariablesCDR(Zpar, Zorth)

Arguments

Zpar

Reflectivity in the parallel channel [mm^6/m^3]
Zorth

Reflectivity in the orthogonal channel [mm^6/m^3]

Value

CDR

Circular depolarization ratio [dB]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

Differential reflectivity hail signature

Description

VariablesHDR returns the differential reflectivity hail signature From Aydin et al. (1986), Eqns 4-5

Usage

VariablesHDR(dBZh, ZDR)

Arguments

dBZh

Horizontal reflectivity [dBZ]
ZDR

Differential reflectivity [dBZ]

Value

ZDP

Reflectivity difference [dB]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

Aydin et al., 1986

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

Linear depolarization ratio

Description

VariablesLDR returns the linear depolarization ratio From Rinehart (1997), Eqn 10.3

Usage

VariablesLDR(Zh, Zv)

Arguments

Zh

Horizontal reflectivity [mm^6/m^3]
Zv

Vertical reflectivity [mm^6/m^3]

Value

LDR

linear depolarization ratio

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

Radial velocity

Description

VariablesRadVel returns the radial velocity From Rinehart (1993), Eqn 6.6

Usage

VariablesRadVel(f,lam)

Arguments

f

Frequency shift [Hz]
lam

Radar wavelength [m]

Value

Vr

Radial velocity [m/s]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

Radar reflectivity

Description

VariablesReflectivity returns the radar reflectivity From Rinehart (1993), Eqn 5.17 (See Eqn 5.14-5.16 also)

Usage

VariablesReflectivity(Pt, G, Tau, lam, bwH, bwV, Lm, Lr, Pr, r, K=0.93)

Arguments

Pt

Transmitted power [W]
G

Antenna gain [dB]
Tau

Pulse Width [s]
lam

Radar wavelength [m]
bwH

Horizontalntenna beamwidth [degrees]
bwV

Vertical antenna beamwidth [degrees]
Lm

Antenna/waveguide/coupler loss [dB]
Lr

Receiver loss [dB]
Pr

Returned power [W]
r

Range to target [m]
K

Dielectric factor [unitless]

Value

Ze

Radar reflectivity [unitless]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

Reflectivity difference

Description

VariablesZDP returns the reflectivity difference From Rinehart (1997), Eqn 10.2

Usage

VariablesZDP(Zh, Zv)

Arguments

Zh

Horizontal reflectivity [mm^6/m^3]
Zv

Vertical reflectivity [mm^6/m^3]

Value

ZDP

Reflectivity difference [dB]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

Differential reflectivity

Description

VariablesZDR returns the differential reflectivity From Rinehart (1997), Eqn 10.3 and Seliga and Bringi (1976)

Usage

VariablesZDR(Zh, Zv)

Arguments

Zh

Horizontal reflectivity [mm^6/m^3]
Zv

Vertical reflectivity [mm^6/m^3]

Value

ZDR

Differential reflectivity [dB]

Author(s)

Jose Gama

Source

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing

References

Nick Guy, 2014 PyRadarMet - Python Fundamental Calculations in Radar Meteorology https://github.com/nguy/PyRadarMet

R. E. Rinehart, 1997 Radar for Meteorologists Rinehart Publishing