The band structure problem of a solid in the laser field is investigated. One-dimensional Kronig-Penney model is chosen as an ideal crystalline solid model and the influence of the laser field is modeled by a train of periodic -kick pulses. Then, the realistic approach for simple solid on the basis of the experienced pseudopotential theory is given and the previous results are confirmed: The evaluated spectrum displays little sensitivity of the laser-perturbed band structure to the oncoming field. This gives credence to the conjecture that the spectrum is dense in the relevant region of the first quasienergy zone. The band structure retain practically unaltered. In addition the optical conductivity of sodium in the kicking field is calculated. The appropriate theoretical investigations can be relevant for practical realization purposes. The solids can be almost transparent under kicking pulses. 2009 Elsevier B.V.
