1. Robert E. Wagner Sophomore Intense Laser Physics Theory Unit Illinois State University Cycloatoms and high order harmonics in moderate intense laser fields Support: NSF, Res. Corp., and ISU Honors Program

2. Laser Magnetic field Relativity without super-strong lasers?

3. Maximum speed v/c for each  non- relativistic LL  R.E. Wagner, Q. Su and R. Grobe, Phys. Rev. Lett. 84, 3282 (2000).

4. Non-relativisticRelativistic Orbits stay in phase Orbits dephase relativistically Time (in 2  L  75 150 500 0 y x

5. Cycloatom dynamics  =  L

7. relativistic (exact)dephasing model Time 75 150 500 0 Relativistic dephasing model replace   (V 0 )

8. Steady state spatial electron distributions Multiple resonances Fractional resonances  ≈ 1/2  L  ≈ 1/3  L  ≈  L  ≈ 2  L  ≈ 3  L P.J. Peverly, R.E. Wagner, Q.Su and R. Grobe, Las. Phys. 10, 303 ( 2000). Q. Su, R.E. Wagner, P.J. Peverly, and R. Grobe, Front. Las. Phys. p. 117-123 (Springer, 2000).

9. Cycloatom dynamics  =1/2  L

11. Scattered light spectra non-relativistic relativistic R.E. Wagner, et al, PRA 60, 3233 (1999)

12. Quantum Mechanical Cycloatoms? Dirac Liouville J. Braun, Q. Su and R. Grobe, PRA 59, 604 (1999) P. Peverly, R. Wagner, Q. Su and R. Grobe, Las Phys. 10, 303 (2000)

13. Dirac Liouville Confirmed: Dirac Cycloatoms P. Krekora, R. Wagner, Q. Su and R. Grobe, PRA, submitted

14. Summary Cycloatoms reveal new relativistic phenomena Novel resonances => possible experiments [1] R.E. Wagner, Q. Su and R. Grobe, Phys. Rev. Lett. 84, 3282 (2000). [2] R.E. Wagner, Q. Su, and R. Grobe, Phys. Rev. A 60, 3233, 1999. [3] R.E. Wagner, P.J. Peverly, Q. Su and R. Grobe, Phys. Rev. A 61, 35402(2000). [4] P.J. Peverly, R.E. Wagner, Q.Su and R. Grobe, Las. Phys. 10, 303 ( 2000). [5] P. Krekora, R.E. Wagner, Q. Su and R. Grobe, PRA, submitted. [6] Q. Su, R.E. Wagner, P.J. Peverly, and R. Grobe, Front. Las. Phys. p. 117-123 (Springer, 2000). www.phy.ilstu.edu/ILP U ndergraduate S tudent travel grant ( DAMOP )