Table 5 List of symbols
Symbol | Description | Note |
|---|---|---|
Major parameters | ||
\(\rho\) | Normal albedo | |
\({i}_{xy}\) | Incident angle of the laser at \(xy\) | Eq. (4) |
\(\alpha\) | Phase angle | Eq. (4) |
\({E}_{obs}\) | Energy received by the APD | Eq. (9) |
\({D}_{R}\) | Received pulse intensity | Eq. (9) “Experimental results” section |
\({E}_{T}\) | Energy injected into a laser footprint, i.e., energy transmitted from LIDAR | Eq. (12) |
\({D}_{T}\) | Transmitted pulse intensity | Eq. (12) |
\(\beta\) | Transmissivity of the optical system of the LIDAR receiver | Eq. (5) |
\({\varphi }_{eff}\) | Efficiency of the transfer from the surface to the aperture of the LIDAR telescope | Eq. (10) |
\({\xi }_{xy}\) | Law of reflection | Eq. (10) “Waveform simulation using a shape model” section |
\({\varepsilon }_{xy}\) | Normalized beam pattern of the transmitted laser pulse in \({ds}_{xy}\) shown in Fig. 1 | |
\(\tau (t)\) | Normalized timewise intensity profile of the transmitted laser beam is shown in Fig. 2 | |
\({ds}_{xy}\) | Area of the small element within a laser footprint on the Ryugu surface | |
\(dt\) | Time interval of numerical integration | |
\(c\) | Speed of light | |
\({A}_{0}\) | Aperture area of the FAR telescope | |
\({L}_{xy}\) | Distance between the LIDAR telescope and \({ds}_{xy}\) | |
Minor parameters | ||
\(G\) | Responsivity of the APD | Table 1 |
\({ S}_{v}\) | Integrated voltage of the input laser pulse recorded by the oscilloscope | Eq. (8) |
\({ S}_{v}^{rec}\) | Integrated voltage of the 10-ns rectangular pulse recorded by the oscilloscope | Fig. 7 |
\({ D}_{R}^{rec}\) | Received pulse intensity of the 10-ns rectangular pulse | Eq. (7) |
\({E}_{obs}^{rec}\) | Energy input to the APD for 10-ns rectangular pulse | Eq. (6) |
\({R}_{S}\)(\({D}_{R}^{rec}\)) | Conversion function from rectangular pulse intensity to the output peak voltage of the APD | |
\({\sigma }_{all}\) | Standard deviation of ρ for all 294,705 footprints | Chapter 6 |