In paraxial optics, the power carried by an optical beam can be accurately calculated by means of the integral of the squared modulus of its electric field over a plane transverse to the propagation axis. However, for nonparaxial electromagnetic beams, it is more appropriate to define the power carried by the beam by the integral of the longitudinal component of its time-averaged Poynting vector over a plane transverse to the propagation axis. In this paper, the expression of the power carried by a high-aperture transverse magnetic (TM) beam of any order is determined. The general expression of the power carried by a TM beam, which also applies for a transverse electric (TE) beam, is given in terms of a modified Struve function of order equal to an integer plus one-half.
© 2009 Optical Society of America
Original Manuscript: August 4, 2009
Revised Manuscript: November 14, 2009
Manuscript Accepted: November 16, 2009
Published: December 9, 2009
Alexandre April, "Power carried by a nonparaxial TM beam," J. Opt. Soc. Am. A 27, 76-81 (2010)