Introduction to Radio Astronomy Flashcards
Photon counting is
Not an option in radio astronomy
Spectral Flux Density can be represented by and measured in
S and measured in J s^-1 m^-2 Hz^-1
Since photon counting is not an option we can think
Classically in terms of waves, electric fields etc..
1 Jansky (Jy) =
10^-26 Js^-1 m^-2 Hz-^1
power out =
S A Δv which is measured in Js^-1
Extended objects (i.e. not a point source) have both
Flux Density, S , and a Flux Density Per Steradian, I₀
Specific Intensity/Spectral Intensity/Sky Brightness/Surface Brightness are represented by the symbol and can be measured in
represented by the symbol Iᵥ or B and is measured in Js^-1 m^-2 Hz^-1 sr^-1
B =
S / Ω
or more generally
∫ B (θ,ϕ) dΩ
for small angles
measured surface brightness of an object does not depend on
its distance away
hv «_space;kT when
observing a black body source
exp (hv/kT) ≈ 1 + hv/kT
Rayleigh-Jeans Law
B(v) ≈ 2kTv² / c²
more generally, we can work with the temperature distribution over the sky T(θ,ϕ)
therefore S =
S = 2kv² / c² ∫ T (θ,ϕ) dΩ
S = 2k / λ² ∫ T (θ,ϕ) dΩ
Most radio sources do NOT emit via
a thermal blackbody mechanism
you can define an effective temperature or brightness temperature Tb
Tb =
Tb = c² / 2kv² * B
Tb = T only if
The object is a blackbody
T»_space; hv/k