List of Symbols

α_{n} |
Azimuth angle |

α_{R} |
Unit vector along R |

β |
Wave number |

α_{β} |
Unit vector along the direction of wave propagation |

del |
Differential vector operator |

∇ | grad, gradient of a scalar |

∇. | div, divergence of a vector |

∇× | Curl of a vector |

. | Dot product |

δ(t) |
Impulse function, dirac delta function |

h(t) |
Impulse response |

h(t,τ) |
Time-variant impulse response |

H(ω) |
Frequency response |

H(ω,t) |
Time-variant frequency response |

H(ω,ν) |
Frequency Doppler function |

ρ | Charge density |

∈ | Permittivity |

μ | Permeability |

C |
Conductivity |

D |
Electric flux |

B |
Magnetic flux |

J |
Current density |

f |
Frequency, Hz |

f_{c} |
Carrier frequency |

f_{H} |
Gyro-frequency |

f_{i} |
Instantaneous frequency |

f_{D} |
Doppler frequency |

ϕ_{n} |
Phase shift with respect to an arbitrary reference |

I |
In-phase |

J_{o} |
Zero order Bessel function of the first kind |

ω | Angular frequency, radians/sec |

β | Wave number |

λ | Wavelength |

n | Impedance |

* | Complex conjugate |

S |
Poynting vector |

Ω | Ohm |

δ_{s} |
Skin depth |

n |
Phase refractive index |

n′ | Group refractive index |

N |
Refractivity |

p |
Pressure |

ν |
Diffraction coefficient |

m | Meter |

N_{o} |
Single-sided noise power spectrum density |

S(τ,ν) |
Delay Doppler function |

τ |
Time delay variable |

τ_{g} |
Group time delay |

τ_{max} |
Maximum time delay |

Q |
Quadrature |

vec( ) | Vector operator stacking all elements of a matrix column-wise into a single vector, |

⊗ | Kronecker product |

E{} |
Expected value |

T | Transpose |

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