y y¯ Diagram, a powerful optical design method for laser systems

Kessler, David; Shack, Roland V.

doi:10.1364/ao.31.002692

Cited by 16 publications

(13 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…where λ is the laser wavelength and, when divided by π, sets the value of L. 9 As also shown in Eq. (3), L is related to the barred and unbarred values as with geometrical optics, where u and u are the ray angles for two rays.…”

Section: Modeling Gaussian Beams With the Yybar Diagrammentioning

confidence: 99%

Simplified physical model of interferometric radius of curvature test using the yybar diagram

Alsalamah

Reardon

2019

Opt. Eng.

View full text Add to dashboard Cite

The yybar diagram for Gaussian beam optics is employed to model the behavior of an interferometer system testing very small radius parts. The model was developed to overcome the limitations and known inconsistencies of a paraxial optics representation used to evaluate a calibration method for testing cylindrical wave optics using a fiber reference test. Gaussian beam analysis inherently contains physical optics conditions, and the yybar diagram method provides both an intuitive and powerful framework to generate analytical solutions. Particularly, we show how to model an interferometric test from a Fizeau transmission sphere (TS), to a small test ball and back to the TS, and yield test ball radius limits as a function of the test wavelength and TS F ∕#. A computation of error estimates for measuring the radius of curvature of the test balls is also presented. © The Authors. Published by SPIE under a Creative Commons Attribution 4.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.

show abstract

Section: Modeling Gaussian Beams With the Yybar Diagrammentioning

confidence: 99%

Simplified physical model of interferometric radius of curvature test using the yybar diagram

Alsalamah

Reardon

2019

Opt. Eng.

View full text Add to dashboard Cite

show abstract

“…The similarities of this graphical method to the Delano yȳ diagrams 16,17 led Kessler and Shack 18 to discuss this two-ray representation of Gaussian beams and show that a Gaussian beam with a wavelength (in air) of λ is defined by any two paraxial rays such that…”

Section: Propagating Gaussian Beams By Complexmentioning

confidence: 99%

Modeling physical optics phenomena by complex ray tracing

Harvey¹,

Irvin²,

Pfisterer³

2015

Opt. Eng

View full text Add to dashboard Cite

Abstract. Physical optics modeling requires propagating optical wave fields from a specific radiometric source through complex systems of apertures and reflective or refractive optical components, or even complete instruments or devices, usually to a focal plane or sensor. The model must accurately include the interference and diffraction effects allowed by the polarization and coherence characteristics of both the initial optical wave field and the components and media through which it passes. Like a spherical wave and a plane wave, a Gaussian spherical wave (or Gaussian beam) is also a solution to the paraxial wave equation and does not change its fundamental form during propagation. The propagation of a Gaussian beam is well understood and easily characterized by a few simple parameters. Furthermore, a paraxial Gaussian beam can be propagated through optical systems using geometrical ray-trace methods. The decomposition of arbitrary propagating wave fields into a superposition of Gaussian beamlets is, thus, an alternative to the classical methods of propagating optical wave fields. This decomposition into Gaussian beamlets has been exploited to significant advantage in the modeling of a wide range of physical optics phenomena. © The Authors. Published by SPIE under a Creative Commons Attribution 3.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.

show abstract

“…All lenses were AR-coated. OCT and TPL excitation beam diameters (i.e., lateral resolution) on the sample were both calculated to be ~16 µm based on the similar mode field diameters (i.e., 12.6 µm and 12.8 µm, respectively) of the PCF core at 800 nm and 1,310 nm and magnification of the scanning optics [38]. OCT images were displayed using a logarithmic intensity scale (20 × log(V OCT )).…”

Section: Fiber-based Oct-tpl Imaging Systemmentioning

confidence: 99%

Dual-modality fiber-based OCT-TPL imaging system for simultaneous microstructural and molecular analysis of atherosclerotic plaques

Wang

McElroy

Halaney

et al. 2015

Biomed. Opt. Express

View full text Add to dashboard Cite

New optical imaging techniques that provide contrast to study both the anatomy and composition of atherosclerotic plaques can be utilized to better understand the formation, progression and clinical complications of human coronary artery disease. We present a dual-modality fiber-based optical imaging system for simultaneous microstructural and molecular analysis of atherosclerotic plaques that combines optical coherence tomography (OCT) and two-photon luminescence (TPL) imaging. Experimental results from ex vivo human coronary arteries show that OCT and TPL optical contrast in recorded OCT-TPL images is complimentary and in agreement with histological analysis. Molecular composition (e.g., lipid and oxidized-LDL) detected by TPL imaging can be overlaid onto plaque microstructure depicted by OCT, providing new opportunities for atherosclerotic plaque identification and characterization.

show abstract

y y¯ Diagram, a powerful optical design method for laser systems

Cited by 16 publications

References 15 publications

Simplified physical model of interferometric radius of curvature test using the yybar diagram

Simplified physical model of interferometric radius of curvature test using the yybar diagram

Modeling physical optics phenomena by complex ray tracing

Dual-modality fiber-based OCT-TPL imaging system for simultaneous microstructural and molecular analysis of atherosclerotic plaques

Contact Info

Product

Resources

About