Remote Sensing
Atmospheric Science · Part 7
210 KB10 sections4 key equationsLaTeX typeset
Table of Contents
- 1.Electromagnetic Spectrum and Atmospheric Windows
- 2.Passive vs Active Remote Sensing
- 3.Satellite Orbits: LEO vs GEO
- 4.Planck Function and Brightness Temperature
- 5.Weighting Functions and the Radiative Transfer Equation
- 6.Radar Meteorology
- 7.Lidar Remote Sensing
- 8.Sounder Channels and CO₂ Slicing
- 9.Microwave Sounding
- 10.Fortran: Radar Reflectivity to Rainfall Rate Conversion
Key Equations
$$B(\nu, T) = \frac{2h\nu^3}{c^2} \frac{1}{e^{h\nu / k_B T} - 1}$$
$$I(\nu) = B(\nu, T_s)\,\tau_s(\nu) + \int_0^{z_{top}} B(\nu, T(z))\,W(\nu, z)\,dz$$
$$P_r = \frac{C \pi^5 |K|^2 Z}{\lambda^4 r^2}$$
$$\frac{I_{obs}(\nu_1) - I_{clr}(\nu_1)}{I_{obs}(\nu_2) - I_{clr}(\nu_2)} = \frac{\int_{p_c}^{p_s} B(\nu_1, T(p))\,\frac{\partial \tau(\nu_1)}{\partial p}\,dp}{\int_{p_c}^{p_s} B(\nu_2, T(p))\,\frac{\partial \tau(\nu_2)}{\partial p}\,dp}$$
Equations are rendered with MathJax in the PDF with professional LaTeX typesetting.
Course Context
This PDF is part of the Atmospheric Science course on CoursesHub.World. Study the physics of weather and climate from atmospheric thermodynamics to planetary atmospheres. Covers atmospheric dynamics, synoptic meteorology, clouds and precipitation, radiation budgets, clima...