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Periodic electron and ion density modulations in near critical density plasmas induced by counterpropagating femtosecond pulses of intensities on the order of 10¹⁵ to 10¹⁶ Wcm⁻² are described in a linear and stationary regime and investigated using particle-in-cell simulations in one and two dimensions. The periodic gratings produce transient plasma photonic crystals lasting up to several picoseco
