Introduction

Laser induced dusty plasma have wide applications in plasma spectroscopy because of their fast response times and ability to generate plasmons were at a relatively long distances. Most of the previous fundamental studies of laser induced dusty plasma at or near the atmospheric domain of the ionosphere. The aim of this study is to evaluate the effects of micro-Raman scattering spectroscopy to generate the transparent dusty plasma in the field of a relativistically laser induced dusty plasma medium. The complete analysis will be performed by the basic mathematical equations for plasma under micro-Raman scattering spectroscopy. In this chapter, theoretical considerations about the problems encountered will be investigated.

Basic Equations

Consider a dusty plasma medium with extremely massive highly negatively charged dust grains electrons and non-thermal ions charge conservations which, implies the following equilibrium equations

where nions, ne and ndp are the unperturbed ions, electrons and dust particles number and Zeo is the unperturbed number of charges of the dusty plasma with micro-Raman scattering spectroscopy. The following equations are the normalized continuity momentum and Poisson's equations that govern the dynamics of the of dusty plasma.

where nd,vd,ɸ and Zeo are the dust number density, dust particles velocity, electrostatic potential and the variable charge number of dust particles respectively. We know that electrons and ions obey the Boltzmann distribution and non-thermal distribution respectively, as follows,

It must be noted that the charging currents originates from the electrons and ions reaching the induced dusty plasma under Raman spectroscopy. The dusty plasma charging time is of the order of 10−9 second, while the dust motion time under induced plasma medium quickly reach the local equilibrium at which the currents flow from the electron and ions to the dusty plasma. Then the balanced equation implied under this conditions for micro-Raman scattering spectroscopy,

Suppose that the streaming velocities of electrons and ions are much smaller than the thermal velocities. The electron and ion currents are

Emission Spectra-Based Measurements

The spectra was taken at different dusty plasmons level in the same set of spectral lines. The general appearance of the spectra and their time dependence varied significally with ionization level of concentration in terms of particle density.