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Spatial frequency chirping of q-Gaussian laser beams in graded index plasma channel with ponderomotive nonlinearity

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Abstract

Chirping of spatial frequency of q-Gaussian laser beams interacting nonlinearly with plasmas with radially inhomogeneous electron density has been investigated theoretically. Due to the radial nonuniformity of the electron density, the index of refraction of the plasma channel resembles to that of a graded index fiber. Chirping or modulation of spatial frequency also known as phase anomaly occurs due to position momentum uncertainty of photons. Due to intensity gradient over the laser cross section, the transverse component of ponderomotive force becomes finite. This results in redistribution of carriers in the irradiated potion of the channel. This results in the enhancement of the radial gradient of the density profile that stimulates the laser beam to get self-focused. The reduction in transverse dimensions of the laser beam in turn leads to spread in transverse momentum of its photons. This transverse momentum spread then modifies the axial phase of the laser beam. Following Virial theory, equations of motion for radius and spatial frequency of the laser beam have been obtained. The equations so obtained have been solved numerically to envision the effect of various laser and plasma parameters on the evolution of beam envelope. Manifestation of axial phase to Berry phase has also been explained.

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Authors and Affiliations

  1. Lovely Professional University, Phagwara, India

    Naveen Gupta, Rohit Johari, A. K. Alex, Suman Choudhry & Sanjeev Kumar

  2. SUS Govt College, Matak-Majri, Indri, Karnal, India

    S. B. Bhardwaj

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  1. Naveen Gupta
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  2. Rohit Johari
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  3. A. K. Alex
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  4. Suman Choudhry
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  6. S. B. Bhardwaj
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Correspondence to Naveen Gupta.

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Gupta, N., Johari, R., Alex, A.K. et al. Spatial frequency chirping of q-Gaussian laser beams in graded index plasma channel with ponderomotive nonlinearity. J Opt (2023). https://doi.org/10.1007/s12596-023-01537-8

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