A novel approach based on the boundary-element method (BEM) with exact and approximate Green’s functions is presented for the analysis of the performance of finite-substrate-thickness cylindrical diffractive lenses. This approach can be applied to the analysis of lenses with thicknesses of thousands of wavelengths for both TE and TM polarization. Multiple interference resonance effects between the upper and the lower boundaries of the lens are included. Also, for the cases when multiple interference resonance effects can be neglected, another approach based on the BEM with a modified approximate Green’s function is developed. It is shown that the latter approach corresponds to the cascaded application of the BEM as previously published [Appl. Opt. 37, 34, 6591 (1998)]. To illustrate the advantages of the approaches presented, a cylindrical diffractive lens with a substrate thickness of 2 mm is analyzed. It is not possible to analyze this large-substrate-thickness lens with the previously published cascaded application of the BEM.

© 1999 Optical Society of America

[Optical Society of America ]

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

Related Journal Articles

• Waveletlike basis function approach to the propagation of paraxial beams (JOSAA)
• Field stitching algorithm for the analysis of electrically large diffractive optical elements (OL)
• Three-Dimensional Analysis of Subwavelength Diffractive Optical Elements with the Finite-Difference Time-Domain Method (AO)
• Characterization of Diffraction Gratings in a Rigorous Domain with Optical Scatterometry: Hierarchical Neural-Network Model (AO)
• A rigorous unidirectional method for designing finite aperture diffractive optical elements (OE)

Related Conference Papers

• Waveguiding at 1550nm using photonic crystal
• Ultra-long haul DWDM: Tool Support for Economic Studies
• Analysis of Cladding-Pumped L-Band Erbium-Doped Fiber Amplifier Performance
• Computation of laser cavity eigenmodes by the use of a 3D finite element approach
• Femtosecond pulse encoding and self phase-reconstruction by a two-photon-recorded single-tip diffractive optics