Received power for free space optics

5 replies · 12K views · last reply
Nur Ziadah
Messages
34
Reaction score
3
Hello everyone,

I have calculated the received power for free space optic (FSO) using the equation:
Equation: P_RX = P_TOTAL - L_SYSTEM - L_GEO, with the subscripts written as shown in the image.

Lsystem (system loss) is set to 8dB. PTotal can be calculated as:
Equation: P_TOTAL = P_TX + 10 log10(N_TX), where P_TOTAL is total power, P_TX is transmitted power and N_TX is the number of transmitters.

where Ntx (number of receiver) = 1 and PTx (transmitted power) =7.78 dBm. LGeo can be calculated as:
Equation for geometric loss: L_GEO = -10 log10[4A_Rtotal / (pi (l theta)^2)].

Equation: A_Rtotal = [(π d_R²) / 4] * N_R, where d_R is the receiver diameter and N_R the number of receivers.

where d2R (receiver diameter) = 0.07, l=1, θ (divergence angle) =0.05 and Nr (number of receiver) =1.

The problem is, I got received power=10.72 dBm which is illogical value. As I know, the received power must be lower than transmitted power.
I hope that anyone may help me to understand this situation.
For your information, I refer this paper for the calculation: https://ieeexplore.ieee.org/document/6015903
Thank you.
 
Attachments
  • Equation: P_RX = P_TOTAL - L_SYSTEM - L_GEO, with the subscripts written as shown in the image.
    upload_2019-1-6_16-35-28.png
    898 bytes · Views: 777
  • Equation: P_TOTAL = P_TX + 10 log10(N_TX), where P_TOTAL is total power, P_TX is transmitted power and N_TX is the number of transmitters.
    upload_2019-1-6_16-36-9.png
    1 KB · Views: 807
  • Equation for geometric loss: L_GEO = 10 log10 [4(A_RX N_RX) / (pi (theta l)^2)].
    upload_2019-1-6_16-36-56.png
    1.3 KB · Views: 429
  • Equation for geometric loss: L_GEO = -10 log10[4A_Rtotal / (pi (l theta)^2)].
    upload_2019-1-6_16-44-0.png
    1.4 KB · Views: 608
  • Equation: A_Rtotal = [(π d_R²) / 4] * N_R, where d_R is the receiver diameter and N_R the number of receivers.
    upload_2019-1-6_16-44-21.png
    1 KB · Views: 568
You have above the θl<d2R, which is outside of the formula applicability range.
Your beam is not illuminating the entire receiver area, therefore the error.
 
  • Like
Likes   Reactions: tech99
trurle said:
You have above the θl<d2R, which is outside of the formula applicability range.
Your beam is not illuminating the entire receiver area, therefore the error.
What is the applicable range?
 
Nur Ziadah said:
What is the applicable range?
Range (all values) of input variables producing a valid output.
 
You mean that θl must greater than d2R in order to produce a valid output?
 
  • Like
Likes   Reactions: tech99 and trurle
trurle said:
You have above the θl<d2R, which is outside of the formula applicability range.
Your beam is not illuminating the entire receiver area, therefore the error.
I am find that optical engineers seem to re-invent the wheel all the time; we have the simple Friis formula for microwave. This uses Ptx, Prx, antenna gains and path loss. The method used above seems very unclear to me. But I am impressed that you noticed that we do not have far field conditions.