\begin{table}%t1 \caption{\label{SimParam}Simulation parameters and their \TB{standard nominal} values.} $$ \begin{array}{p{0.75\linewidth}lll} \hline\hline \noalign{\smallskip} Variable name & {\rm Symbol} & {\rm Standard\ value} \\ \hline \multicolumn{3}{c}{\bf{Laser\ parameters}}\\ Launched laser power in air & P & 20\ {\rm W} \\ Mesospheric laser irradiance & I & 46 \ {\rm W/m}^2 \\ Central D$_2$ vacuum wavelength & \lambda & 589.159\ {\rm nm} \\ Polarization ellipticity angle & \chi & \pm\pi/4\ \ {\rm (circular)} \\ Laser {\it FWHM} linewidth & \Delta f & 0 \\ Repumping power fraction & q & 0.12 \\ Repumping frequency offset & \Delta f_{\rm ab} & 1.7178\ {\rm GHz} \\ \hline \multicolumn{3}{c}{\bf{Atomic,\ atmospheric,\ and\ mesospheric\ parameters}}\\ Outer turbulence scale & L_0 & 25~{\rm m} \\ Geomagnetic field in mesosphere & B & 0.228~{\rm G} \\ One-way transmission at $\lambda$ at zenith & T_{\rm a} & 0.84 \\ Average mesospheric temperature & T_{\rm Na} & 185~{\rm K} \\ Sodium centroid altitude (a.s.l.)\tablefootmark{\ast} & H_{{\rm Na}} & 92~{\rm km} \\ Sodium column density & C_{{\rm Na}} & 4.0\times\!10^{13}~{\rm m}^{-2} \\ Na beam dwell velocity & v_{\gamma} & 38~{\rm m/s} \\ Beam atom exchange rate & \gamma_{\rm ex} & 1/(6.0~{\rm ms}) \\ Na--N$_2$ v.c.c.\tablefootmark{\dagger} cross section & \sigma_{{\rm Na-N}_2} & 0.71 \time 10^{-14}~{\rm cm}^2 \\ Na--O$_2$ v.c.c.\tablefootmark{\dagger} cross section & \sigma_{{\rm Na-O}_2} & 0.70 \times 10^{-14}~{\rm cm}^2 \\ Weighted v.c.c.\tablefootmark{\dagger} rate & \gamma_{\rm vcc} & 1/(35~\mu{\rm s}) \\ Na--O$_2$ spin exchange cross sect. at $T_{\rm Na}$ & \sigma_{{\rm Na-O}_2}^{\rm S} & 0.50 \times 10^{-14}~{\rm cm}^2 \\ Weighted spin-exchange rate at $T_{\rm Na}$ & \gamma_S & 1/(490~\mu{\rm s}) \\ \hline \multicolumn{3}{c}{\bf{Launch\ telescope\ (LT)\ parameters}}\\ Zenith angle & \zeta & 30^{\circ} \\ LT altitude (a.s.l.)\tablefootmark{\ast} & H_{{\rm tele}} & 2650~{\rm m} \\ LT aperture & D & 40~{\rm cm} \\ LT beam radius ($1/e^2$) & w & 0.36 D = 14.4~{\rm cm} \\ Launched beam rms wavefront error & {\rm WFE} & 100~{\rm nm}\approx \lambda/6 \\ Polar angle of $\V{B}$ (laser $\|\ z$) & \theta & \pi/2 \\ Azimuth of $\V{B}$ (laser $\|\ z$) & \phi & \pi/2 \\ \hline \end{array} $$\vspace*{-4mm} \tablefoot{\tablefoottext{\ast}{ a.s.l. = above sea level.} \tablefoottext{\dagger}{v.c.c. = velocity-changing collision.} } \end{table}