Phys. Rev. A 57, 2971–2979 (1998)Beam modes beyond the paraxial approximation: A scalar treatmentReceived 28 May 1997; revised 6 November 1997; published in the issue dated April 1998 Beam modes are considered by a high-aperture scalar theory based on the complex source-point method. A different form for the beam mode that avoids nonphysical singularities in intensity is introduced. The amplitude in the focal region is explored for the lowest-order mode. Conditions for oscillation of a high-aperture resonator, such as a microcavity, are derived. The amplitude in the focal region is explored for higher-order modes in systems with cylindrical symmetry. These modes are expressed in terms of Jacobi polynomials. © 1998 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.57.2971
DOI:
10.1103/PhysRevA.57.2971
PACS:
42.60.Da, 42.25.Bs
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