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An Effective z-Stretching Adaptive Finite Difference Method for Paraxial Light Beam Propagation Simulations [article]

Leonel Gonzalez, Shekhar Guha, James W. Rogers, Qin Sheng
<span title="2010-06-08">2010</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
A new z-stretching finite difference method is established for simulating the paraxial light beam propagation through a lens in a cylindrically symmetric domain.  ...  A specialized matrix analysis method is constructed to study the numerical stability. Interesting computational results are presented.  ...  Introduction In order to reduce the computational complexity of light beam propagation simulation, a number of approximations are typically employed.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1006.1607v1">arXiv:1006.1607v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/gcie67xjengn3dkqel5hupevsi">fatcat:gcie67xjengn3dkqel5hupevsi</a> </span>
<a target="_blank" rel="noopener" href="https://archive.org/download/arxiv-1006.1607/1006.1607.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> File Archive [PDF] </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/1006.1607v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Self-accelerating self-trapped nonlinear beams of Maxwell's equations

Ido Kaminer, Jonathan Nemirovsky, Mordechai Segev
<span title="2012-08-01">2012</span> <i title="The Optical Society"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/cg4vcsfty5dfvgmat5wm62wgie" style="color: black;">Optics Express</a> </i> &nbsp;
The backscattered beam is found to be a key issue in the dynamics of such highly non-paraxial nonlinear beams.  ...  Those effects, together with diffraction effects, work to maintain shape-preserving acceleration of the beam on a circular trajectory.  ...  Acknowledgments This work was funded by an Advanced Grant from the European Research Council, by the Israel Science Foundation, and by the Binational US-Israel Science Foundation.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1364/oe.20.018827">doi:10.1364/oe.20.018827</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/23038522">pmid:23038522</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/n5btjtrnlvb6zl35mwsoz6k7rq">fatcat:n5btjtrnlvb6zl35mwsoz6k7rq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20131016235221/http://physics.technion.ac.il/~msegev/publications/NL%20Non-Paraxial%20Acceleration.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/da/86/da86fa15d8be8b1fb40513b25caf5a88ab13ee39.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1364/oe.20.018827"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

Propagation algorithms for Wigner functions

Minyi Zhong, Herbert Gross
<span title="2016-06-28">2016</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/t3fewntv7bfqpdjtnxj33675di" style="color: black;">Journal of the European Optical Society-Rapid Publications</a> </i> &nbsp;
We prove that the Radon transform is a more efficient approach for a long propagated distance.  ...  We propose an algorithm to remove a parabolic wavefront from a convergent or divergent beam in the Wigner function. Using this approach we numerically collimate the beam.  ...  We thank Martin Kielhorn for comments and discussions which improved this manuscript. We are grateful to the reviewer for the constructive input. Author details  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1186/s41476-016-0008-6">doi:10.1186/s41476-016-0008-6</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/hqp2qm6gnbghpb3lunbtfdrvs4">fatcat:hqp2qm6gnbghpb3lunbtfdrvs4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180721014325/https://jeos.springeropen.com/track/pdf/10.1186/s41476-016-0008-6?site=jeos.springeropen.com" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/a6/17/a617569711a580af86654d3ba32536f49af6b026.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1186/s41476-016-0008-6"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> springer.com </button> </a>

Simulation of solid state lasers and amplifiers

Christoph Pflaum, Zhabiz Rahimi
<span title="2015-10-08">2015</span> <i title="SPIE"> Education and Training in Optics and Photonics: ETOP 2015 </i> &nbsp;
These include ray tracing for modeling of pump light, Gauss mode analysis for stability calculations of a laser cavity, and vectorial beam propagation method for the amplifier simulation.  ...  We present and overview simulation techniques which are necessary for an accurate modelling of solid state laser.  ...  Vectorial Beam Propagation Method The vectorial beam propagation method applies a paraxial approximation of the vector Helmholtz equation obtained by Maxwell's equations (see [1] ).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1117/12.2223064">doi:10.1117/12.2223064</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/7pb65inzyvfnvdo74zzmqy6zj4">fatcat:7pb65inzyvfnvdo74zzmqy6zj4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180719092827/https://www.spiedigitallibrary.org/conference-proceedings-of-spie/9793/97930D/Simulation-of-solid-state-lasers-and-amplifiers/10.1117/12.2223064.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/70/e3/70e305144bc24ff650bafa5ddda3adf8e3145c1d.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1117/12.2223064"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Gouy and spatial-curvature-induced phase shifts of light in two-dimensional curved space

Chenni Xu, Li-Gang Wang
<span title="2019-10-18">2019</span> <i title="IOP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/bt7vbjky6zbevclechrlkkahae" style="color: black;">New Journal of Physics</a> </i> &nbsp;
In this work, we have theoretically calculated Gouy phase of light beams in both paraxial and nonparaxial regime on two-dimensional curved surface by generalizing angular spectrum method.  ...  An interpretation is presented to explain this peculiar phenomenon. Finally we also provide the analytical expression of paraxial Gaussian beam on general SORs.  ...  Converging surface has a focusing effect on beam, so evolution of beam width is an interplay between surface and diffraction of beam itself.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1088/1367-2630/ab4f48">doi:10.1088/1367-2630/ab4f48</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/bjudcuhbv5d4npcqqkbh3m4vui">fatcat:bjudcuhbv5d4npcqqkbh3m4vui</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200311064214/https://iopscience.iop.org/article/10.1088/1367-2630/ab4f48/pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/dc/fa/dcfa704b021f91547631d3e40c091abdcc90d7c1.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1088/1367-2630/ab4f48"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> iop.org </button> </a>

Self-accelerating beams in photonic crystals

Ido Kaminer, Jonathan Nemirovsky, Konstantinos G. Makris, Mordechai Segev
<span title="2013-04-03">2013</span> <i title="The Optical Society"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/cg4vcsfty5dfvgmat5wm62wgie" style="color: black;">Optics Express</a> </i> &nbsp;
These beams retain a shape-preserving profile while bending to highly non-paraxial angles along a circular-like trajectory.  ...  This highlights how light can be guided through a general system by only tailoring the incoming field, without altering the structure itself.  ...  Acknowledgments This work was supported by an advanced grant from the European Research Council, and by the Israeli Focal Technology Area (FTA) on Nanophotonics for Detection.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1364/oe.21.008886">doi:10.1364/oe.21.008886</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/23571979">pmid:23571979</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/pdbn27hchngqxa7gxsejstdkgm">fatcat:pdbn27hchngqxa7gxsejstdkgm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20160304040038/http://physics.technion.ac.il/~msegev/publications/accelerating%20beams%20in%20photonic%20crystals.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/d6/51/d651d0dffb421cf5363d7bd2aeab98398587aa0c.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1364/oe.21.008886"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

A paraxial model for optical self-focussing in a nematic liquid crystal

David W. McLaughlin, David J. Muraki, Michael J. Shelley, Xiao Wang
<span title="">1995</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/jsigantcpjamteymlcjp25zyvq" style="color: black;">Physica D : Non-linear phenomena</a> </i> &nbsp;
Numerical and asymptotic results are presented for a coupled PDE system that models recent experiments of the selffocussing of laser light in a nematic liquid crystal.  ...  These numerical computations represent a direct emulation of the experimental configuration within the context of a paraxial PDE model.  ...  The authors would like to also thank a referee for carefully reading the manuscript, and for making several useful comments.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/0167-2789(95)00187-9">doi:10.1016/0167-2789(95)00187-9</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/cf5q5hu63bcr7a6kbppfajxthi">fatcat:cf5q5hu63bcr7a6kbppfajxthi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170809024314/http://math.nyu.edu/faculty/shelley/papers/MMSW1995.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/dc/02/dc0286b0ecc3a61854d758a2657d5e89af7eed96.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/0167-2789(95)00187-9"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Laser propagation in Rindler accelerated reference frame based on matrix optics [article]

Weifeng Ding, Zhaoying Wang
<span title="2021-06-22">2021</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
We hope that we can provide one simple method to analyze the beam propagation in the accelerated frame.  ...  Then, we use ABCD matrix optics method to explore the propagation characteristics of Rindler frame, thus link three different optical transformation scenes (geometry, gravity and vacuum refractive index  ...  of light beam.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2106.11555v1">arXiv:2106.11555v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/5ie63wicenedffsnrhmmsjvtxm">fatcat:5ie63wicenedffsnrhmmsjvtxm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210629005007/https://arxiv.org/pdf/2106.11555v1.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/bc/66/bc6690d7f83f9f30a83ec1de5c0aa39bb2d086ad.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2106.11555v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Enhanced spin Hall effect of light by transmission in a polymer

Osamu Takayama, Graciana Puentes
<span title="2018-03-14">2018</span> <i title="The Optical Society"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/tjz57sbghnbv7oxjartzii6rwu" style="color: black;">Optics Letters</a> </i> &nbsp;
An example of the latter effect is the so-called transverse Imbert-Fedorov (IF) beam shift which occurs when a paraxial optical beam is reflected or refracted at a plane interface [19][20][21].  ...  When the system has cylindrical symmetry, SOIs generate a spin-dependent vortex in the z-propagating light [2][3][4][5][6][7][8][9][10][11][12][13][14][15].  ...  The authors are grateful to Konstantin Bliokh and Ricardo Depine for insightful discussion.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1364/ol.43.001343">doi:10.1364/ol.43.001343</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/29543287">pmid:29543287</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/5p25ud3v5jdv7kvz2y5fpnpxrm">fatcat:5p25ud3v5jdv7kvz2y5fpnpxrm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190426233617/http://orbit.dtu.dk/ws/files/144861120/spin_hall_effect_final.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/e3/32/e3325c12e63deb04e2e69860f82f7f24b07f2b86.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1364/ol.43.001343"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Diffraction Management

H. S. Eisenberg, Y. Silberberg, R. Morandotti, J. S. Aitchison
<span title="2000-08-28">2000</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/pkmpevvs3bgkhal5dvrmsu5mvq" style="color: black;">Physical Review Letters</a> </i> &nbsp;
Christodoulides for helpful discussions. We also gratefully acknowledge support from the Israeli Ministry of Science and the U.K. Engineering and Physical Science Research Council.  ...  For k x ø k, it is common to make the paraxial approximation, and the diffraction relation (equivalent to the Helmholz equation) becomes k z k 2 k 2 x 2k . (2) When an optical field propagates over a distance  ...  a 2D beam propaga- tion method (BPM) for solving the evolution of the optical field.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevlett.85.1863">doi:10.1103/physrevlett.85.1863</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/10970633">pmid:10970633</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/tsbccjm62rbb7coc37zbczghoa">fatcat:tsbccjm62rbb7coc37zbczghoa</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20070417163724/http://www.weizmann.ac.il/home/feyaron/discrete/diffman.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/69/ad/69ad039dce400984fc884ba240f400cb1ce94e70.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevlett.85.1863"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> aps.org </button> </a>

Propagation modeling for multimode photonics

Richard P. Ratowsky, Bedros B. Afeyan, Jeffrey S. Kallman, Michael D. Feit, Peter Blood, Akira Ishibashi, Marek Osinski
<span title="1999-08-06">1999</span> <i title="SPIE"> Physics and Simulation of Optoelectronic Devices VII </i> &nbsp;
By transporting a suitable quadratic functional of the field (the Wigner distribution) along rays, diffraction and interference are taken into account for propagation through an arbitrary transverse index  ...  We show how this method allows us to propagate highly multimode fields without resorting to detailed mode calculations.  ...  We have also plotted in Fig 8 the results of a wave optics calculation using a finite-difference Beam Propagation Method.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1117/12.356869">doi:10.1117/12.356869</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/omjlwr2iine5jiwycfh7zjjwle">fatcat:omjlwr2iine5jiwycfh7zjjwle</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20030408204413/http://www.polymath-usa.com:80/Phase_Space_Propagation/spie_with_RKK_doc.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/c6/36/c6366ed58cc1b3b40720356e1ac777ac1cf73932.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1117/12.356869"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Inhibition and enhancement of linear and nonlinear optical effects by conical phase front shaping for femtosecond laser material processing

Ehsan Alimohammadian, Erden Ertorer, Erick Mejia Uzeda, Jianzhao Li, Peter R. Herman
<span title="2020-12-09">2020</span> <i title="Springer Science and Business Media LLC"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/tnqhc2x2aneavcd3gx5h7mswhm" style="color: black;">Scientific Reports</a> </i> &nbsp;
A facile means for compressing and stretching of the focal interaction volume is presented for controlling the three-dimensional micro- and nano-structuring of transparent materials.  ...  defocussing effects.  ...  An optical microscope (Olympus; BX51) was used for studying the morphology and physical sizes of filaments.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1038/s41598-020-78373-4">doi:10.1038/s41598-020-78373-4</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/33298983">pmid:33298983</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/fh3sxrlzungo3msavjb7no72ka">fatcat:fh3sxrlzungo3msavjb7no72ka</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210428235329/https://www.nature.com/articles/s41598-020-78373-4.pdf?error=cookies_not_supported&amp;code=fa588a6f-071d-4786-8462-0d3be47b92c0" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/a8/c0/a8c032490149ce693289f44a71845cd0911afe76.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1038/s41598-020-78373-4"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a>

Beam propagation in periodic quadratic-index waveguides

Lee W. Casperson
<span title="1985-12-15">1985</span> <i title="The Optical Society"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/6tkekdr3c5buzcp4zxrwpcfozy" style="color: black;">Applied Optics</a> </i> &nbsp;
Several techniques are described for studying the propagation of off-axis polynomial Gaussian beams in media having straight axes and periodic z variations of the quadratic refraction and loss coefficients  ...  For some periodic variations, exact analytical solutions of the paraxial equations are possible, and for sufficiently slow variations, WKB solutions can always be obtained.  ...  Except for the WKB method all the techniques listed above yield exact solutions of the paraxial ray or beam equations.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1364/ao.24.004395">doi:10.1364/ao.24.004395</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/18224218">pmid:18224218</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/kmzf2kobgffnxeakbj75ngfwua">fatcat:kmzf2kobgffnxeakbj75ngfwua</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190428115542/https://pdxscholar.library.pdx.edu/cgi/viewcontent.cgi?article=1053&amp;context=ece_fac" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/53/9f/539fdf063fde76c9fd5016527bea90b90d4576eb.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1364/ao.24.004395"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Analytical solutions for beams passing apertures with sharp boundaries

Eitam Luz, Er'el Granot, Boris A Malomed
<span title="2016-06-14">2016</span> <i title="IOP Publishing"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ohjzwmpi25bm5hfuwnimdgk6fe" style="color: black;">Journal of Optics</a> </i> &nbsp;
An approximation is elaborated for the paraxial propagation of diffracted beams, with both one- and two-dimensional cross sections, which are released from apertures with sharp boundaries.  ...  For an initially uniform field confined by sharp boundaries, this solution becomes exact for any propagation distance and any sharpness of the edges.  ...  Introduction Diffraction occurs whenever a light beam is scattered by an obstacle.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1088/2040-8978/18/7/075607">doi:10.1088/2040-8978/18/7/075607</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/5qgomvbozbgozg2i57z6kkoas4">fatcat:5qgomvbozbgozg2i57z6kkoas4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200928155530/https://arxiv.org/ftp/arxiv/papers/1605/1605.04540.pdf" title="fulltext PDF download [not primary version]" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <span style="color: #f43e3e;">&#10033;</span> <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/d2/80/d280af33c73d304b5a6e5c941c1835d309f88c09.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1088/2040-8978/18/7/075607"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> iop.org </button> </a>

Unstable Optical Resonators & Fractal Light [article]

Jarvist Frost
<span title="2006-12-03">2006</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Codes were written to simulate the propagation of monochromatic light through a bare optical resonator, using a computational Fourier method to solve the Huygens-Fresnel integral.  ...  An implicit shift 'hopping' method was employed to allow a series of increasingly higher-loss eigenmodes to be found, limited in number by computational time.  ...  propagation of light through the system, including any diffraction (but not aperture) effects.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/physics/0612027v1">arXiv:physics/0612027v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/eupovwdkg5b57juruneypwvnkm">fatcat:eupovwdkg5b57juruneypwvnkm</a> </span>
<a target="_blank" rel="noopener" href="https://archive.org/download/arxiv-physics0612027/physics0612027.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> File Archive [PDF] </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/physics/0612027v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>
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