Douglas Christensen portrait
  • Professor, Biomedical Engineering
  • Professor, Elect & Computer Engineering

Publications

  • Richards N, Christensen D, Hillyard J, Kline M, Johnson S, Odeen H & Payne A (2024). Evaluation of acoustic-thermal simulations of in vivo magnetic resonance guided focused ultrasound ablative therapy. International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group. Vol. 41, 23014892301489. Published, 01/01/2024.
  • Marchant JK, Clinard SR, Odeen H, Parker DL & Christensen DA (2023). The influence of bone model geometries on the determination of skull acoustic properties. International journal for numerical methods in biomedical engineering. Vol. 39, e3779e3779. Published, 12/01/2023.
  • Slominski E, Marchant J, Judd W, Alexander MD, Rolston JD, Odeen H, Rieke V, Christensen DA & Parker DL (2023). Influence of cerebrospinal fluid on power absorption during transcranial magnetic resonance-guided focused ultrasound treatment. Medical physics. Vol. 50, 324532573245-3257. Published, 06/01/2023.
  • Megan Hansen, Douglas Christensen & Allison Payne (2021). Experimental validation of acoustic and thermal modeling in heterogeneous phantoms using the hybrid angular spectrum method. International Journal of Hyperthermia. Vol. 38(1), 1617-1626. Published, 11/11/2021.
  • Hofstetter, Lorne W, Henrik Odéen, Bradley D Bolster Jr, Douglas A Christensen, Allison Payne & Dennis L Parker (2021). Magnetic resonance shear wave elastography using transient acoustic radiation force excitations and sinusoidal displacement encoding. Institute of Physics and Engineering in Medicine Physics in Medicine & Biology. Vol. 66. Published, 02/26/2021.
  • Hofstetter LW, Fausett L, Mueller A, Odéen H, Payne A, Christensen DA & Parker DL (2020). Development and characterization of a tissue mimicking psyllium husk gelatin phantom for ultrasound and magnetic resonance imaging. International journal of hyperthermia : the official journal of European Society for Hyperthermic Oncology, North American Hyperthermia Group. Vol. 37, 283-290. Published, 10/01/2020.
  • Lorne Hofstetter, Henrik Odeen, Bradley Bolster Jr, Alexander Mueller, Douglas A Christensen, Allison Payne & Dennis L Parker (2019). Efficient shear wave elastography using transient acoustic radiation force excitations and magnetic resonance displacement encoding. Magnetic Resonance in Medicine. 1-15. Published, 01/05/2019.
  • James Nagel, Cynthia Furse, Douglas Christensen & Carl Durney (2018). Basic Introduction to Bioelectromagnetics, Third Edition. CRC Press. Published, 11/01/2018.
  • Sara Johnson, Douglas Christensen, Christopher Dillon & Allison Payne (2018). Validation of hybrid angular spectrum acoustic and thermal modelling in phantoms. Int J Hyperthermia. 2018 Oct 15:1-13. 1-13. Published, 10/15/2018.
  • Iversen MM, Christensen DA, Parker DL, Holman HA, Chen J, Frerck MJ & Rabbitt RD (2017). "Low-intensity ultrasound activates vestibular otolith organs through acoustic radiation force". The Journal of the Acoustical Society of America. Vol. 141, 4209. Published, 08/01/2017.
  • Scott Almquist, Dennis L Parker and Douglas A Christensen, "Rapid Full-Wave Phase Aberration Correction Method for Transcranial High-Intensity Focused Ultrasound Therapies," Journal of Therapeutic Ultrasound, 4:30 (2016). Published, 12/08/2016.
  • Sara L. Johnson, Christopher Dillon, Henrik Odeen, Dennis Parker, Douglas Christensen and Allison Payne, "Development and validation of a MRgHIFU non-invasive tissue acoustic property estimation technique," International Journal of Hyperthermia, vol. 32, no. 7, 723-734 (2016). Published, 08/08/2016.
  • Henrik Odeen, Scott Almquist, Joshua de Bever, Douglas Christensen and Dennis Parker, "MR thermometry for focused ultrasound monitoring utilizing model predictive filtering and ultrasound beam modeling," Journal of Therapeutic Ultrasound, 4:23 (2016). Published, 04/30/2016.
  • Alexis I Farrer, Scott Almquist, Christopher R Dillon, Leigh A Neumayer, Dennis L Parker, Douglas A Christensen, Allison Payne, "Phase aberration simulation study of MRgFUS breast treatments," Medical Physics 43, 1374 (2016). Published, 03/23/2016.
  • Husseinil GA, Kherbeckl L, Pitt WG, Hubbell JA, Christensen DA & Velluto D (2015). "Kinetics of Ultrasonic Drug Delivery from Targeted Micelles." Journal of nanoscience and nanotechnology. Vol. 15, 2099-104. Published, 09/01/2015.
  • Farrer AI, Odéen H, de Bever J, Coats B, Parker DL, Payne A & Christensen DA (2015). Characterization and evaluation of tissue-mimicking gelatin phantoms for use with MRgFUS. Journal of therapeutic ultrasound. Vol. 3, 9. Published, 07/01/2015.
  • Allison Payne, Josh de Bever, Alexis Farrer, Brittany Coats, Dennis L. Parker and Douglas A. Christensen, "A simulation technique for 3D MR-guide acoustic radiation force imaging," Med. Phys. 21(2), February 2015. Published, 02/2015.
  • H. Odeen, J. de Bever, S. Almquist, A. Farrer, N. Todd, A. Payne, J. Snell, D. Christensen and D. Parker, "Treatment envelope evaluation in transcranial magnetic resonance-guided focused ultrasound utilizing 3D MR thermometry," Journal of Therapeutic Ultrasound 2:19, 2014. Published, 10/2014.
  • J. de Bever, N. Todd, A. Payne, D. Christensen, and R. Roemer, "Adaptive model-predictive controller for magnetic resonance guided focused ultrasound therapy," Int J Hyperthermia 30(7):456-70, 2014. Published, 10/2014.
  • CR Dillon, A Payne, DA Christensen, RB Roemer, "The accuracy and precision of two non-invasive, magnetic resonance-guide ultrasound-based thermal diffusivity estimation methods," International Journal of Hyperthermia 30(6), 2014. Published, 09/01/2014.
  • C R Dillon, N Todd, A Payne, D L Parker, D A Christensen and R B Roemer, "Effects of MRTI sampling characteristics on estimation of HIFU SAR and tissue thermal diffusivity," Physics in Medicine and Biology 58:7291-7307, 2013. Published, 09/2013.
  • R. Duer, R. Lund, R. Tanaka, D.A. Christensen and J.N. Herron, "In-Plane Parallel Scanning: A Microarray Technology for Point-of-Care Testing," Anal Chem, 2010 Oct. 14, [PubmedID 20945920]. Published, 10/2010.
  • Ghaleb Husseini, William Pitt, Douglas Christensen and David Dickinson, "Degradation Kinetics of Stabilized Pluronic Micelles Under the Action of Ultrasound," Journal of Controlled Release, 138 (2009) 45-48. Published, 04/21/2009.
  • N. Hu, C. Beaumont, D.A. Christensen, A.K. Agrawal, E.B. Clark, and J.A. Hawkins, "Dependence of Aortic Arch Morphogenesis on Intracardiac Blood Flow in the Left Atrial Ligated Chick Embryo," Anatomical Record, 292(5):652-60, May 2009 [PubmedId 19322826]. Published, 03/25/2009.
  • Cynthia Furse, Douglas A. Christensen, and Carl H. Durney, "Introduction to Bioelectromagnetics, 2nd Ed.", CRC Press, Boca Raton, FL. Published, 01/31/2009.
  • N.Y. Rapoport, A.L. Efros, D.A. Christensen, A.M. Kennedy and K.H. Nam, "Microbubble Generation in Phase-Shift Nanoemulsions Used as Anticancer Drug Carriers," Bubble Science, Engineering and Technology, Vol. 1, No. 1-2, June 2009 [PubmedId 20046899]. Published, 2009.
  • Douglas A. Christensen and James N. Herron, "Optical System Design for Biosensors Based on CCD Detection," in Biosensors and Biodetection, Methods and Protocols, Vol. 1, Avraham Rasooly and Keith E. Herold, Eds., Humana Press, 2009. Published, 2009.
  • Douglas A. Christensen, "Introduction to Biomedical Engineering: Biomechanics and Bioelectricity," Morgan & Claypool, San Rafael, CA, 2009. Published, 2009.
  • Gao Z, Kennedy AM, Christensen DA, Rapoport NY, "Drug-loaded nano/microbubbles for combining ultrasonography and targeted chemotherapy." Ultrasonics 2008 Aug;48(4):260-70. Published, 08/01/2008.
  • Rapoport N, Nam KH, Gao Z, Christensen DA, Kennedy AM, Acoustic properties of multifunctional nanomicrobubbles used in ultrasonography and ultrasound-mediated chemotherapy. J Acoust Soc Am 2008 May;123(5):3217. Published, 05/01/2008.

Research Keywords

  • Physics of Ultrasound, Therapeutic Ultrasound, Optical Biosensors

Presentations

  • Douglas Christensen, "Some Observations on a 50-year Career in Biomedical Engineering." Seminar for Mechanical Engineering Department, Brigham Young University. Invited Talk/Keynote, Presented, 02/06/2023.
  • S. Clinard, H. Odeen, R. Jensen, D.L. Parker and D. Christensen, "Towards determining accurate acoustic property maps of skull bone," Focused Ultrasound Neuromodulation (FUN22) Conference. September 21. 2022. Conference Paper, Refereed, Presented, 09/21/2022.
  • Moderator for "From Biology to Bytes: Predicting the Path of Ultrasound Waves through the Human Brain," Bradley Treeby, International Society for Therapeutic Ultrasound. Other, Presented, 01/21/2021.
  • M. Dearden, D. Christensen and A. Payne, "Validating Ultrasound Beam Prediction Modeling for Breast Tumor Treatment," 19th International Symposium of ISTU, 5th European Symposium of EUFUS, Barcelona, Spain, June 13-15, 2019. Conference Paper, Refereed, Presented, 06/2019.
  • L. Hofstetter, Henrik Odeen, Bradley D. Bolster Jr, Douglas A. Christensen, Allison Payne and Dennis L. Parker, "Shear wave elastography using multi-point acoustic radiation force imaging," International Society of Magnetic Resonance in Medicine 2018, Paris, France. Conference Paper, Refereed, Presented, 06/20/2018.
  • Allison Payne, Henrik Odeen, Christopher Dillon, Heather McLean, Douglas Christensen and Dennis Parker, "Correction of focused ultrasound defocusing in heterogeneous soft tissues," International Society of Magnetic Resonance in Medicine 2018, Paris, France. Conference Paper, Refereed, Presented, 06/19/2018.
  • Sara Johnson, Christopher Dillon, Douglas Christensen and Allison Payne, "Quantitative validation of a rapid acoustic and thermal modeling technique," International Society of Therapeutic Ultrasound Annual Meeting 2018, Nashville, Tennessee. Conference Paper, Refereed, Presented, 05/16/2018.
  • Christensen D, Almquist S, Parker D. "Extending a rapid ultrasound beam modeling method to include nonlinear effects in HIFU." Society for Thermal Medicine Annual Meeting 2018, Tucson, Arizona. Conference Paper, Refereed, Presented, 05/09/2018.
  • Hofstetter LW, Odeen H, Bolster BD Jr, Christensen D, Payne A, Parker D. "Shear wave elastography using multi-point acoustic radiation force imaging." International Society of Magnetic Resonance in Medicine 2018, Paris, France. Conference Paper, Refereed, Submitted, 12/28/2017.
  • Payne A, Odeen H, Dillon C, McLean H, Christensen D, Parker D. "Correction of focused ultrasound beam defocusing in heterogeneous soft tissues." International Society of Magnetic Resonance in Medicine 2018, Paris, France. Conference Paper, Refereed, Submitted, 12/28/2017.
  • Johnson S, Dillon C, Christensen D, Payne A. "Quantitative validation of a rapid acoustic and thermal modeling technique." International Society of Therapeutic Ultrasound 2018, Nashville, Tennessee. Conference Paper, Refereed, Submitted, 12/20/2017.
  • Dillon C, Payne A, Christensen D. "Development of a two-week active-learning ultrasound module for a general bioimaging course." BMES Annual Meeting, Phoenix, Arizona. Conference Paper, Refereed, Presented, 10/13/2017.
  • Christensen D. "Rapid modeling of HIFU beam propagation through inhomogeneous tissues." American Association of Physicist in Medicine 2017, Denver, Colorado. Invited Talk/Keynote, Presented, 08/01/2017.
  • Fausett L, Hofstetter L, Mueller A, Odeen H, Christensen D, Parker D. "Characterization of psyllium husk modified ballistic gelatin phantoms for ultrasound and MR imaging." American Association of Physicist in Medicine 2017, Denver, Colorado. Conference Paper, Refereed, Presented, 07/30/2017.
  • Douglas Christensen, "An Overview of Ultrasound in Medicine," presentation to Bioen 5460 class. Other, Presented, 03/23/2017.
  • Marta Iversen, Douglas Christensen, Dennis Parker, Micah Fereck, Holly Holman and Richard Rabbitt, "5 MHz Ultrasound Activates Inner Ear Vestibular Organs," BMES 2016 Annual Meeting, Minneapolis, Minnesota, Oct. 5-8, 2016. Conference Paper, Refereed, Presented, 10/07/2016.
  • Scott Almquist, Dennis Parker and Douglas Christensen, "Towards patient-specific acoustic scattering models for use in transcranial HIFU treatments," 5th International Symposium on Focused Ultrasound, Bethesda, MD, Aug. 28- Sept.1, 2016. Conference Paper, Refereed, Presented, 08/30/2016.
  • Alexis Farrer, Scott Almquist, Christopher Dillon, Dennis Parker, Douglas Christensen and Allison Payne, "Experimental assessment of phase aberration in MRgFUS breast treatments," 5th International Symposium on Focused Ultrasound, Bethesda, MD, Aug. 28- Sept.1, 2016. Conference Paper, Refereed, Presented, 08/30/2016.
  • Dennis Parker, Joshua de Bever, Henrik Odeen, Allison Payne and Douglas Christensen, "Tissue stiffness imaging with interleaved multiple-point MR-ARFI," 5th International Symposium on Focused Ultrasound, Bethesda, MD, Aug. 28- Sept.1, 2016. Conference Paper, Refereed, Presented, 08/29/2016.
  • Douglas Christensen, Dennis Parker and Scott Almquist, "Performance of a simulation-based phase aberration correction technique in transcranial ultrasound modeling," 171st Meeting of the Acoustical Society of America, Salt Lake City, UT, May 23-27, 2016. Conference Paper, Refereed, Presented, 05/25/2016.
  • Douglas Christensen, Matt Holbrook and Scott Almquist, "Modeling Scattering in Simulations of Focused Ultrasound Beam Propagation," 12th International Congress of Hyperthermic Oncology, New Orleans, Louisiana, Apr. 11-25, 2016. Conference Paper, Refereed, Presented, 04/14/2016.
  • Douglas Christensen, Scott Almquist, Alexis Farrer, Dennis Parker and Allison Payne, "Simulation of therapeutic ultrasound treatments using the hybrid angular spectrum technique," 170th Annual Meeting of the Acoustical Society of America, Jacksonville FL, Nov. 2-6, 2015. Invited Talk/Keynote, Presented, 11/05/2015.
  • M. Holbrook, C. Dillon, S. Almquist, A. Payne and D. Christensen, "Phantom Development to Verify Ultrasound Scattering in HIFU Simulations," BMES Annual Meeting, Tampa FL, Oct. 7-10, 2015. Conference Paper, Refereed, Presented, 10/09/2015.
  • S. Johnson, A. Farrer, C. Dillon, D. Christensen and A. Payne, "Non-invasive Estimation of Acoustic Attenuation For High Intensity Focused Ultrasound Treatments," BMES Annual Meeting, Tampa FL, Oct. 7-10, 2015. Conference Paper, Refereed, Presented, 10/08/2015.
  • Sara L. Johnson, Allison Payne, Lexi Farrer, Christopher Dillon, Henrik Odéen, Doug Christensen, "Non-Invasive Estimation of Acoustic Properties by Optimizing Simulated and Experimental SAR," 15th International Symposium on Therapeutic Ultrasound, Utrecht Netherlands, April 15-18, 2015. Conference Paper, Refereed, Presented, 04/17/2015.
  • Alexis I. Farrer, Scott Almquist, Christopher Dillon, Dennis L. Parker, Doug Christensen, Allison Payne, "Phase Aberration Simulation Study of MRgFUS Breast Treatments," 15th International Symposium on Therapeutic Ultrasound, Utrecht Netherlands, April 15-18, 2015. Conference Paper, Refereed, Presented, 04/17/2015.
  • Alexis Farrer, Henrik Odeen, Joshua de Bever, Brittany Coats, Douglas Christensen, Allison Payne, "Development and Characterization of Tissue-Mimicking Gelatin Phantoms for Use with MRgFUS," BMES Annual Meeting, San Antonio TX, Oct. 22-25, 2014. Conference Paper, Refereed, Presented, 10/24/2014.
  • Scott Almquist, Dennis Parker and Douglas Christensen, "Simulation of Hemispherical Transducers for Transcranial HIFU Treatments Using the Hybrid Angular Spectrum Approach," 4th International Symposium on Focused Ultrasound, Bethesda MD, Oct. 14, 2014. Conference Paper, Refereed, Presented, 10/14/2014.
  • Allison Payne, Joshua de Bever, Alexis Farrer, Dennis L. Parker, Douglas Christensen, "Validation of a Three-Dimensional MR-Acoustic Radiation Force Imaging Simulation Algorithm," 14th International Symposium on Therapeutic Ultrasound, Las Vegas, April 2-5, 2014. Conference Paper, Refereed, Presented, 04/2014.
  • Douglas Christensen, Allison Payne, Nick Todd, Scott Almquist, Alexis Farrer and Dennis Parker, "Modeling of MR-guided HIFU for Breast and Brain Therapy," AAPM Annual Meeting, Indianapolis, Aug. 5-6, 2013. Invited Talk/Keynote, Presented, 08/06/2013.
  • Douglas Christensen and Scott Almquist, "Incorporating tissue absorption and scattering in rapid ultrasound beam modeling," Photonics West, San Francisco, Feb. 4, 2013. Invited Talk/Keynote, Presented, 02/04/2013.
  • D. Christensen, S. Almquist and D. Parker, "Phase aberration correction in the skull using HAS simulations," Focused Ultrasound Surgery Foundation Brain Workshop, Charlottesville, VA, Oct. 23, 2011. Invited Talk/Keynote, Presented, 10/23/2011.
  • J. Coon, U. Vyas, A. Payne, D. Christensen and R. Roemer, "HIFU dose delivery time reduction through focal zone size and path and transducer power optimization," International Society of Therapeutic Ultrasound Annual Conference, Aix en Provence, France, Sept. 24-26, 2009. Conference Paper, Refereed, Presented, 09/26/2009.
  • N. Rapoport, K. Nam, D. Christensen and A. Efros, "Ultrasonic drug delivery in phase-shift nanoemulsions," International Society of Therapeutic Ultrasound Annual Conference, Aix en Provence, France, Sept. 24-26, 2009. Conference Paper, Refereed, Presented, 09/25/2009.
  • U. Vyas, R. Roemer, D. Parker and D. Christensen, "Fast ultrasound beam simulation in inhomogeneous tissue geometries for MRI-guided HIFU," International Society of Therapeutic Ultrasound Annual Conference, Aix en Provence, France, Sept. 24-26, 2009. Conference Paper, Refereed, Presented, 09/25/2009.
  • D. Christensen and U. Vyas, "Extension of the angular spectrum method to curved transducer surfaces," International Society of Therapeutic Ultrasound Annual Conference, Aix en Provence, France, Sept. 24-26, 2009. Conference Paper, Refereed, Presented, 09/25/2009.
  • N. Todd, U. Vyas, A. Payne, D. Christensen and D. Parker, "Combining thermal and ultrasound modeling techniques for improved monitoring of MR guided HIFU treatments," International Society of Therapeutic Ultrasound Annual Conference, Aix en Provence, France, Sept. 24-26, 2009. Conference Paper, Refereed, Presented, 09/25/2009.
  • A. Payne, U. Vyas, J. deBever, N. Todd, D. Christensen and D. Parker, "The effect of electronically steering a phased-array transducer on proximal tissue heating," International Society of Therapeutic Ultrasound Annual Conference, Aix en Provence, France, Sept. 24-26, 2009. Conference Paper, Refereed, Presented, 09/25/2009.
  • Douglas Christensen, Urvi Vyas, Robert Roemer and Dennis Parker, "HIFU Beam Propagation: Extending the Angular Spectrum Method to Inhomogeneous Media," Society for Thermal Medicine Annual Meeting, Tucson, AZ, April 4-7, 2009. Conference Paper, Refereed, Presented, 04/06/2009.
  • Joshua Coon, Douglas Christensen, Urvi Vyas, Robert Roemer and Allison Payne, "Dose Delivery Time Reduction through Focal Zone (FZ) Size and Path Optimization in HIFU," Society for Thermal Medicine Annual Meeting, Tucson, AZ, April 4-7, 2009. Conference Paper, Refereed, Presented, 04/05/2009.
  • Kweon-Ho Nam, Douglas Christensen, Anne Kennedy and Natasha Rapoport, "Acoustic Droplet Vaporization, Cavitation, and Therapeutic Properties of Copolymer-stabilized Perfluorocarbon Nanoemulsions," International Society of Therapeutic Ultrasound Annual Conference, Minneapolis, MN, Sept. 10-13, 2008. Conference Paper, Presented, 09/13/2008.
  • Urvi Vyas, Robert Roemer, Dennis Parker and Douglas Christensen, "Beam Propagation for HIFU Using the Hybrid Angular Spectrum Method," International Society of Therapeutic Ultrasound Annual Conference, Minneapolis, MN, Sept. 10-13, 2008. Conference Paper, Presented, 09/13/2008.
  • Allison Payne, Urvi Vyas, Douglas Christensen, Dennis Parker and Robert Roemer, "Optimization of HIFU treatments for use in model predictive control," International Society of Therapeutic Ultrasound Annual Conference, Minneapolis, MN, Sept. 10-13 2008. Conference Paper, Presented, 09/13/2008.
  • C. Tagge, M. Brinton, R. Stewart, D. Christensen and Y. Shui, "Noninvasive and Nonpharmacological Method to Prevent Neointimal Hyperplasia in e-PTFE Grafts," Canyons Symposium, Sept. 6, 2008. Other, Presented, 09/06/2008.
  • Urvi Vyas and D.A. Christensen, "Extension of angular spectrum to curved surfaces," Canyons Symposium, Sept. 6, 2008. Other, Presented, 09/06/2008.
  • Urvi Vyas and Douglas Christensen, "Ultrasound Beam Propagation using the Hybrid Angular Spectrum Method," 30th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, Vancouver, BC, August 20-24, 2008. Conference Paper, Presented, 08/24/2008.
  • Joseph Andrade, Seung-Jae Kim, Douglas A. Christensen, "Bioengineering Education via Projects and Activities for an Interactive Science Center: the University of Utah Experience," Third Biomedical Engineering Education Summit, St. Charles, IL, June 16-17, 2008. Conference Paper, Presented, 06/16/2008.
  • Ghaleb Husseini, William G. Pitt, Douglas A. Christensen, "Degradation Kinetics of Stabilized Pluronic Micelles Under the Action of Ultrasound," Society for Biomaterials, Amsterdam, May 27-June 1, 2008. Conference Paper, Presented, 05/27/2008.
  • Darren Stirland, R. Stewart, D. Christensen, Y-T. Shiu, "Hyperthermia as a Means of Preventing Neointimal Hyperplasia in ePTFE Hemodialysis Access Grafts," UROP Symposium, University of Utah, April 3, 2008. Other, Presented, 04/03/2008.
  • A. Payne, A. Blankespoor, N. Todd, U. Vyas, R.B. Roemer, M. Skliar, D.L. Parker, D.A. Christensen, "Minimization of HIFU Treatment Time using Model Predictive Feedback Control," Advanced Clinical Image-Guided Therapy, Rockville, MD, Mar. 10-11, 2008. Conference Paper, Presented, 03/10/2008.

Research Groups

  • Sam Clinard, Graduate Student. 08/15/2020 - 08/15/2024.
  • Lorne Hofstetter, Graduate Student. MRgHIFU. 08/15/2017 - 05/21/2021.
  • Sara Johnson, Graduate Student. MRgHIFU. 08/15/2016 - 05/18/2020.
  • Utah Center for Advanced Imaging Research (UCAIR), Senior Associate. 04/2009 - present.

Software Titles

  • Adding Nonlinear Capability for the Hybrid Angular Spectrum Method. Added nonlinear capability to HAS by including the Westervelt Equation terms into the algorithm using the Slowly Varying Envelope Approximation. Release Date: 02/15/2024. Inventors: Douglas Christensen.
  • Nonlinear Capability for the Hybrid Angular Spectrum Method. Added nonlinear capability to HAS by including the Westervelt Equation terms into the algorithm using the Slowly Varying Envelope Approximation. Release Date: 03/03/2022. Inventors: Douglas Christensen.
  • Improved HIFU Beam Modeling Including Nonlinear Effects. This is an improvement to the Hybrid Angular Spectrum (HAS) software. HAS is a very rapid ultrasound beam modeling program that employs propagation in both the spatial and spatial frequency domains. This improvement allows it to model beam propagation in tissues with nonlinear properties. Release Date: 01/01/2018. Inventors: Douglas Christensen, Dennis Parker and Scott Almquist. Distribution List: HIFU Community.
  • Hybrid Angular Spectrum Method. A frequency-domain technique for calculating the beam patterns of ultrasound beams in inhomogeneous media, resulting in a one-hundred-fold increase in numerical speed. Release Date: 06/14/2009. Inventors: Douglas Christensen and Urvi Vyas. Distribution List: HIFU community.