Exposure Time Calculator: Tables

Version 1.11 (Semesters 2025A and 2025B)

In this page we report the tabulated values for gain and system temperature used in the ETC computations for Medicina and SRT .

In the Gain Table we give also the reference frequency for each receiver (i.e. the frequency at which computations are done, see the ETC Manual); the beam size (HPBW); and the beam efficiency.

Medicina Tables


Gain Table

Gain (K/Jy) is computed as: \(G(x) = DPFU \times (ax^2 + bx +c)\) K/Jy, where x is the source elevation.

  Receiver  

  a      b       c       DPFU       HPBW   
(arcmin)
   Beam Efficiency   
CC -4.68E-05 6.24E-03 7.92E-01 0.160 7.4 0.75
CH -4.02E-05 4.85E-03 8.53E-01 0.139 6.8 0.71
X -7.24E-05 1.06E-02 6.10E-01 0.141 4.9 0.72
K -4.20E-05 5.90E-03 7.92E-01 0.114 1.76 0.53




System Temperature Table

T\(_{{\rm sys}}\) for the K band receiver is computed starting from the quantities reported in the "Opacity and \(T_m\) table" below.

  Elevation  
(deg)
   T\(_{{\rm sys}}\) (K)  
CC band
   T\(_{{\rm sys}}\) (K)  
CH band
   T\(_{{\rm sys}}\) (K)  
X band
10 44 104 52
15 43 103 48
20 42 102 46
25 40 100 43
30 38 98 42
35 36 96 41
40 34 94 39
45 33 93 39
50 31 91 38
55 31 91 38
60 29 89 38
65 28 88 38
70 28 88 38
75 28 88 38
80 28 88 38
85 28 88 38



Opacity and \(T_{m}\) table

\(T_{sys}\) for K band observations si computed by means of the formula:

\(T_{sys}= T_{atm} \eta_{f} (1 - e^{\frac{-\tau}{sin(El)}}) + (1 - \eta_{f})T_{gnd} + T_{ric}\)

where for the Medicina K band receiver \(T_{ric}=15\) K (from semester 2022B) and \(\eta_{f}\) = 0.986 at 22 GHz.

  Season  

    \(\tau\)    

   \(T_{gnd}\)   
(K)
   \(T_{atm}\)   
(K)
Spring 0.1 290 275
Summer 0.2 290 300
Autumn 0.1 290 275
Winter 0.06 290 250





SRT Tables


Gain Table

  Receiver  

  Ref. frequency  
(MHz)
   HPBW   
(arcmin)
   Gain   
K/Jy
   Beam Efficiency   
C-low 4900 3.9 0.64 0.71
C-high 6700 2.7 0.60 0.75
K 22000 0.8 0.66 0.67

For the K-band receiver, gain (K/Jy) is computed as: \(G(x) = DPFU \times (ax^2 + bx +c)\) K/Jy, where x is the source elevation.

  Receiver  

  a      b       c       DPFU   
K -7.97817471e-05 1.08244713e-02 6.32844659e-01 0.66

Notice for the P-band receiver in perido 2019B: due to RFI, the bandwidth for total power and spectropolarimetric observations is limited to 300-360 MHz (instead of the full 300-410 MHz).


System Temperature Table

T\(_{{\rm sys}}\) has been measured at 7 GHz with 680 MHz bandwidth for the C receiver.

T\(_{{\rm sys}}\) for the K band receiver is computed starting from the quantities reported in the "Opacity and \(T_m\) table" below.

  Elevation  
(deg)
   T\(_{{\rm sys}}\) (K)  
C-low band
   T\(_{{\rm sys}}\) (K)  
C-high band
10 25 45
20 25 41
30 25 38
40 25 36
50 25 35
60 25 35
70 25 34
80 25 33
90 25 33



Opacity and \(T_{m}\) table

\(T_{sys}\) for K band observations si computed by means of the formulae:

\(T_{sys}= T_{atm} \eta_{f} (1 - e^{\frac{-\tau}{sin(El)}}) + (1 - \eta_{f})T_{gnd} + T_{ric}\)

and:

\(T_{atm} \approx 0.683 T_{gnd} + 77.919\)

where for the SRT K band receiver \(T_{ric}=15\) K and \(\eta_{f}\) = 0.9 at 22 GHz.

Opacity and ground temperature seasonal values are given in the following table.
  Season  

    \(\tau\)    

   \(T_{gnd}\)   
(K)
Spring 0.13352 289.15
Summer 0.17970 295.82
Autumn 0.13104 285.48
Winter 0.09763 281.32


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