Propagation of high energy lasers through clouds: modeling and simulation

Andrew Lawrence; Benjamin F. Akers

doi:10.1364/AO.404526

Applied Optics
Vol. 59,
Issue 33,
pp. 10207-10216
(2020)
•https://doi.org/10.1364/AO.404526

Propagation of high energy lasers through clouds: modeling and simulation

Andrew Lawrence and Benjamin F. Akers

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Andrew Lawrence and Benjamin F. Akers, "Propagation of high energy lasers through clouds: modeling and simulation," Appl. Opt. 59, 10207-10216 (2020)

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- Atmospheric and Oceanic Optics
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About this Article
History
- Original Manuscript: August 17, 2020
- Revised Manuscript: September 29, 2020
- Manuscript Accepted: October 12, 2020
- Published: November 11, 2020

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Abstract

A model for 10.6 µm high energy laser beam interaction with a uniform, monodisperse cloud of water droplets is developed. The model includes droplet and vapor heating as well as droplet shattering in the “fast regime” as defined in Appl. Opt. 28, 3671 (1989) [CrossRef] . The cloud dynamics feed back on the laser via changes in the complex refractive index. In one space dimension, the model is solved exactly, including an explicit formula for the front of the cleared channel. Numerical simulations are conducted for the axisymmetric three-dimensional case. Model predictions and limitations are discussed.

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Parameter	Description	Value	Units	Source
$λ_{0}$	Wavelength	$10.6 \times 10^{- 6}$	m	Model choice
$k$	Wavenumber	$2 π / λ_{0} = 5.9 \times 10^{5}$	$m^{- 1}$	Model choice
$ρ$	Density of Water	$10^{3}$	$\frac{k g}{m^{3}}$	[19]
$c$	Specific Heat of Water	$4.1855 \times 10^{3}$	$\frac{J}{k g \cdot^{\circ} C}$	[19]
$K$	Thermal Conductivity of Water	$5.187 \times 10^{- 2}$	$\frac{J}{s \cdot m \cdot^{\circ} C}$	[19]
$c_{v}$	Specific Heat of Vapor	$1.996 \times 10^{3}$	$\frac{J}{k g \cdot^{\circ} C}$	[19]
$K_{v}$	Thermal Conductivity of Vapor	$2.0935 \times 10^{- 2}$	$\frac{J}{s \cdot m \cdot^{\circ} C}$	[19]
$η_{0, w}$	$Re (n_{w a t e r})$	1.179	-	[19]
$η_{1, w}$	$Re (n_{w a t e r})$ , Fluctuation	0.776405	-	[19]
$η_{0, v}$	$Re (n_{v a p o r})$	1	-	[25,65]
$η_{1, v}$	$Re (n_{v a p o r})$ , Fluctuation	$3.648 \times 10^{- 6} \frac{T_{v}}{273}$	-	[25,65]
$β_{0, w}$	$Im (n_{w a t e r})$	0.07558	-	[19]
$β_{1, w}$	$Im (n_{w a t e r})$ , Fluctuation	0.03	-	[19]
$β_{0, v}$	$Im (n_{v a p o r})$	$3.2 \times 10^{- 10}$	-	[63]
$β_{1, v}$	$Im (n_{v a p o r})$ , Fluctuation	$8.667 \times 10^{- 18} e^{\frac{2838}{T_{v}}}$	-	[66]

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Applied Optics