Practical considerations for simulating beam propagation: A comparison of three approaches

Stone, Bryan D.; Bruegge, Thomas J.

doi:10.1364/iodc.2002.iwa3

Cited by 3 publications

(3 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In fact, while on L 1 the full beam diameter is generally very small, on L 2 the full beam diameter is approximately equal to the clear diameter of the lens, and L 2 , in general, will introduce spherical aberration on the laser beam. In that case, in the subsequent bending of L 2 the paraxial beam propagation is not usable, and the propagation of the laser beam through L 2 has to be performed by diffraction-based beam propagation techniques [3][4][5][6][7][8][9][10][11]. On the other hand, the value of the paraxial beam propagation lies in the fact that for a well-corrected focusing objective the dimension and the position of the focused light spot coincide almost exactly with like quantities calculated paraxially, and also that the dimension and the position of the focused light spot evaluated paraxially provide a convenient reference from which to measure departures from the diffraction limited condition.…”

Section: Preliminariesmentioning

confidence: 99%

“…(10) and (11) it is easy to remark that, for t 2 = t 2 min , the dimension of the minimal light spot depends, only, on the wavelength of the laser beam and the ratio t 2 min /˚2 which can be Table 1 Specifications of a typical two-lens varifocal objective. considered as the f-number of the focused Gaussian beam.…”

Section: First-order Considerationsmentioning

confidence: 99%

“…Although this difference is very small and practically negligible in our considerations, it can be useful, to understand it, to consider a Gaussian beam with the waist located at t 2 min from L 2 and the beam width at the waist provided by Eq. (10). In this case, using Eq.…”

Section: First-order Considerationsmentioning

confidence: 99%

See 2 more Smart Citations

First-order layout of a two-lens varifocal objective focusing a CO2 laser beam in a post-objective three-axis scanner

Greco

Bertoncini

2011

Optik

View full text Add to dashboard Cite

Section: Preliminariesmentioning

confidence: 99%

Section: First-order Considerationsmentioning

confidence: 99%

See 1 more Smart Citation

First-order layout of a two-lens varifocal objective focusing a CO2 laser beam in a post-objective three-axis scanner

Greco

Bertoncini

2011

Optik

View full text Add to dashboard Cite

Decomposition of a field with smooth wavefront into a set of Gaussian beams with non-zero curvatures

2018

View full text Add to dashboard Cite

Decomposition of a general arbitrary field into a set of Gaussian beams has been one of the challenges in the Gaussian beam decomposition method for field propagation through optical systems. The most commonly used method in this regard is the Gabor expansion, which decomposes initial fields into shifted and rotated Gaussian beams in a plane. Since the Gaussian beams used have zero initial curvatures, the Gabor expansion method does not utilize the ability of the Gaussian beams to represent the quadratic behavior of the local wavefront. In this paper, we describe an alternative method of decomposing an arbitrary field with smooth wavefront into a set of Gaussian beams with non-zero initial curvatures. The individual Gaussian beams are used to represent up to the quadratic term in the Taylor expansion of the local wavefront. This significantly reduces the number of Gaussian beams required for the decomposition of the field with smooth wavefront and gives more accurate decomposition results. The proposed method directly gives the five ray sets representing the parabasal Gaussian beams, which can then be directly used for propagation of the Gaussian beams through optical systems. To demonstrate the application of the method, we have presented results for the decomposition of fields with strongly curved spherical wavefronts, a cone shaped wavefront, and a wavefront with large spherical aberration. The numerical comparison of the input field with the field reconstructed after the decomposition shows very good agreement in both amplitude and phase profiles. We also show results for the far field intensity distributions of the decomposed wavefronts by propagating in free space using the Gaussian beam propagation method.

show abstract

Workflow for modeling of generalized mid-spatial frequency errors in optical systems

DeMars,

Bauer,

Stone

et al. 2024

Opt. Express

View full text Add to dashboard Cite

We propose a workflow for modeling generalized mid-spatial frequency (MSF) errors in optical imaging systems. This workflow enables the classification of MSF distributions, filtering of bandlimited signatures, propagation of MSF errors to the exit pupil, and performance predictions that differentiate performance impacts due to the MSF distributions. We demonstrate the workflow by modeling the performance impacts of MSF errors for both transmissive and reflective imaging systems with near-diffraction-limited performance.

show abstract

Practical considerations for simulating beam propagation: A comparison of three approaches

Cited by 3 publications

References 6 publications

First-order layout of a two-lens varifocal objective focusing a CO2 laser beam in a post-objective three-axis scanner

First-order layout of a two-lens varifocal objective focusing a CO2 laser beam in a post-objective three-axis scanner

Decomposition of a field with smooth wavefront into a set of Gaussian beams with non-zero curvatures

Workflow for modeling of generalized mid-spatial frequency errors in optical systems

Contact Info

Product

Resources

About