# Wave-optical structure design with the local plane-interface approximation

@article{Pfeil2000WaveopticalSD, title={Wave-optical structure design with the local plane-interface approximation}, author={Albrecht v. Pfeil and Frank Wyrowski}, journal={Journal of Modern Optics}, year={2000}, volume={47}, pages={2335 - 2350} }

Abstract The design of an optical element profile with specified transmission function for a given incident wave is of fundamental concern in optical design. A well-known example is the design of an aspherical surface in order to realize a spherical phase-only transmission. Various wave-optical system design methods lead to transmission functions as a first step. Then, often the thin-element approximation is applied in a second step to obtain an element structure with the desired transmission… Expand

#### 30 Citations

Analysis of optical elements with the local plane-interface approximation.

- Physics, Medicine
- Applied optics
- 2000

The regions of validity of the LPIA in general and the approximation levels LPIA(ray) and TEA in detail are discussed, which combines the wave-optical propagation of an electromagnetic field in the homogeneous region of an optical system with a ray-tracing step in the inhomogeneous region. Expand

Solving tolerancing and three-dimensional beam shaping problems by multifunctional wave optical design

- Computer Science
- 2001

An algorithm to find the transmission operator, which is optimal for all optical functions simultaneously, is proposed and shown that the algorithm is efficiently applicable by investigating two sample applications for multifunctional wave optical design: the design of tolerant systems and 3-D beam shaping. Expand

Simulation of light propagation by local spherical interface approximation.

- Physics, Medicine
- Applied optics
- 2003

A new local elementary interface approximation for the modeling of wave propagation through interfaces between homogeneous media is introduced, and the power of this method is illustrated by applying it to the analysis of a diffractive beam splitter. Expand

Geometrical optics in the near field: local plane-interface approach with evanescent waves.

- Physics, Medicine
- Optics express
- 2015

It is shown that fair agreement between the geometrical approach and rigorous electromagnetic theory can be achieved in the case where evanescent waves are required to predict any transmission through the structure. Expand

Parabasal thin element approximation for the analysis of the diffractive optical elements

- Engineering
- Photonics West - Micro and Nano Fabricated Electromechanical and Optical Components
- 2014

The thin element approximation is an efficient algorithm to analyze diffractive optical elements (DOEs), whose feature size is large enough compared with the working wavelength. However, the thin… Expand

Parabasal thin element approximation for the analysis of the diffractive optical elements

- Physics, Engineering
- Photonics Europe
- 2014

The thin element approximation is an efficient algorithm to analyze diffractive optical elements (DOEs), whose feature size is large enough compared with the working wavelength. However, the thin… Expand

Local spherical interface approximation in the analysis of field propagation through modulated interfaces

- Physics, Engineering
- SPIE Optics + Photonics
- 2003

Local Spherical Interface Approximation (LSIA) for modelling the propagation of electromagnetic wave fields through analog interfaces is introduced. The method belongs to a class of Local Elementary… Expand

Phase synthesis in wave-optical engineering: mapping- and diffuser-type approaches

- Physics
- 2002

The synthesis of phase functions to manipulate free propagation characteristics of fields is of fundamental concern in wave-optical engineering. In optical and digital holography, two basic… Expand

Electromagnetic approach to the thin element approximation

- Physics
- 2004

Abstract We show that the rigorous Fourier modal method yields the thin element approximation when the feature sizes and the period tend to infinity. The transversal eigenmodes of the structure can… Expand

Effects of abrupt surface-profile transitions in nonparaxial diffractive optics.

- Physics, Medicine
- Journal of the Optical Society of America. A, Optics, image science, and vision
- 2001

The field disturbance caused by a single-step transition (of given height) by rigorous diffraction theory is determined and a computationally efficient refinement of the thin-element approximation is obtained for the analysis and design of diffractive elements in the nonparaxial domain. Expand

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