, Volume 76, Issue 4, pp 603–612

Goos–Hänchen shift for higher-order Hermite–Gaussian beams


DOI: 10.1007/s12043-011-0067-6

Cite this article as:
GOLLA, D. & GUPTA, S.D. Pramana - J Phys (2011) 76: 603. doi:10.1007/s12043-011-0067-6


We study the reflection of a Hermite–Gaussian beam at an interface between two dielectric media. We show that unlike Laguerre–Gaussian beams, Hermite–Gaussian beams undergo no significant distortion upon reflection. We report Goos–Hänchen shift for all the spots of a higher-order Hermite–Gaussian beam near the critical angle. The shift is shown to be insignificant away from the critical angle. The calculations are carried out neglecting the longitudinal component along the direction of propagation for a spatially finite, s-polarized, full 3D vector beam. We briefly discuss the difficulties associated with the paraxial approximation pertaining to a vector Gaussian beam.


Goos–Hänchen shift; finite beams; total internal reflection; paraxial approximation.


42.10; 42.25.Gy; 42.25.Bs; 42.30.Kq

Copyright information

© Indian Academy of Sciences 2011

Authors and Affiliations

  1. 1.Indian Institute of Technology KharagpurKharagpurIndia
  2. 2.School of PhysicsUniversity of HyderabadHyderabadIndia