A perfect wideband plane wave injector for FDTD method

Guiffaut, Christophe; Mahdjoubi, Kouroch

doi:10.1109/aps.2000.873752

Cited by 35 publications

(21 citation statements)

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“…As reported in [59], for ∆x = ∆y = ∆z = ∆, the above expression provides the equality of the 1D-3D phase velocities unless λ < 5∆, a constraint of no practical importance.…”

Section: Total Field-scattered Field Formulationmentioning

confidence: 99%

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Modal-based tomographic imaging from far-zone observations

Karbeyaz

Rappaport

2008

J. Opt. Soc. Am. A

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A novel method of optical diffraction tomography (ODT) to image weakly scattering, electrically large two dimensional (2D) objects using the far-zone scattered field data is presented. The proposed technique is based on the expansion of the target object function in terms of Fourier-Bessel basis functions, and an alternative approximation for the total electric field within the support of the investigated scatterer. Analytical (Mie) plane-wave scattering by a layered, circularly symmetric, lossy dielectric cylinder, and finite-difference time-domain simulations involving plane-wave scattering first by a more general, lossless dielectric phantom and then by embryo models involving various mitochondrial distributions are utilized to compare the performance of the proposed method with that of the standard ODT techniques which are based on the Born/Rytov approximations and Fourier diffraction theorem. Quantitative and qualitative superiority of the presented method is demonstrated. The proposed method can be used without being confined to far-zone observations with a proper (cylindrical-spherical) receiver configuration, and can be easily modified to handle multi-frequency data for a wideband reconstruction whenever applicable. The proposed 2D technique can be readily extended to more realistic three dimensional scenarios, and can be used in tomographic microscopy for various purposes, such as the cell-embryo health assessment for in vitro fertilization procedures.

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“…As reported in [59], for ∆x = ∆y = ∆z = ∆, the above expression provides the equality of the 1D-3D phase velocities unless λ < 5∆, a constraint of no practical importance.…”

Section: Total Field-scattered Field Formulationmentioning

confidence: 99%

“…For a 3D FDTD simulation environment with space step values ∆x, ∆y, ∆z, and the polar coordinate angles φ i and θ i for an incident plane wave, the required ∆r can be approximately computed with [59]:…”

Section: Total Field-scattered Field Formulationmentioning

confidence: 99%

Modal-based tomographic imaging from far-zone observations

Karbeyaz

Rappaport

2008

J. Opt. Soc. Am. A

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“…If no correction is applied to these plane waves, the errors increase significantly, as seen in the right column of Table 3. In our FDTD implementation (see Section 7), we have used a dispersion-correction algorithm called the matched-numericaldispersion method [6]. The middle column in Table 3 shows that the error is drastically reduced by this dispersion correction algorithm.…”

Section: Error Analysismentioning

confidence: 99%

“…The traditional TF/SF approach for injecting a plane wave into the FDTD grid, explained in detail in [1], has since been refined by numerous authors. Two notable improvements to the TF/SF method are the matched-numerical-dispersion method [6] and the perfectly-matched plane-wave source method [7].…”

Section: Introductionmentioning

confidence: 99%

Computation of tightly-focused laser beams in the FDTD method

Capoglu¹,

Taflove²,

Backman³

2013

Opt. Express

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Abstract:We demonstrate how a tightly-focused coherent TEM mn laser beam can be computed in the finite-difference time-domain (FDTD) method. The electromagnetic field around the focus is decomposed into a plane-wave spectrum, and approximated by a finite number of plane waves injected into the FDTD grid using the total-field/scattered-field (TF/SF) method. We provide an error analysis, and guidelines for the discrete approximation. We analyze the scattering of the beam from layered spaces and individual scatterers. The described method should be useful for the simulation of confocal microscopy and optical data storage. An implementation of the method can be found in our free and open source FDTD software ("Angora").

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“…Second, the dispersion which the fields experience in the ID grid does not correspond to the dispersion experienced in the higher-dimensional grid. To help rectify this, Guiffaut and Mahdjoubi [3] proposed a technique which modified the Courant number in the auxiliary grid so that the dispersion nearly matched that of the higher-dimensional grid (see also Sec. 5.9.1 of [2]).…”

Section: T•stribution Statemfnt Amentioning

confidence: 99%

Time-Domain Simulations of Problems in Ocean Acoustics

Schneider¹

2006

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The public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the d-ataneeded, and completing and reviewing the collection of information. Send comments regarding this burden estimate or any other aspect of this collection of information, including suggestions for reducing the burden, to Department of Defense, Washington Headquarters Services, Directorate for Information Operations and Reports 10704-01881, 1215 Jefferson Davis Highway, Suite 1204, Arlington, VA 22202-4302. Respondents should be aware that notwithstanding any other provision of law, no person shall be subject to any penalty for failing to comply with a collection of information if it does not display a currently valid DMB control number. A total-field scattered-field (TFSF) boundary can be used to introduce incident plane waves into finite-difference time-domain (FDTD) simulations. For fields which are traveling obliquely to the grid axes, there is no simple way to account fully for the effects of the inherent numerical artifacts associated with plane-wave propagation in the FDTD grid. Failure to account for these artifacts causes erroneous fields to leak across the TFSF boundary. The work performed under this grant developed a TFSF boundary for problems involving a planar interface that is theoretically exact. Such a boundary is essential when modeling the scattering from objects in the vicinity of ocean sediment. Although the TFSF boundary assumes a planar interface, the actual interface used in a simulation can take any shape and the space within the total-field region is arbitrary. A suite of C programs was written to implement the boundary. factual summary of the most significant information. PLEASE DO NOT5e. TASK NUMBER. Enter all task numbers as they 15. SUBJECT TERMS. Key words or phrases appear in the report, e.g. 05; RF0330201; T4112.identifying major concepts in the report.5f. WORK UNIT NUMBER. Enter all work unit numbers as they appear in the report, e.g. 001; 16. SECURITY CLASSIFICATION. Enter security AFAPL30480105.classification in accordance with security classification regulations, e.g. U, C, S, etc. If this form contains 6. AUTHOR(S). Enter name(s) of person(s) classified information, stamp classification level on the responsible for writing the report, performing the top and bottom of this page. research, or credited with the content of the report. The form of entry is the last name, first name, middle 17. LIMITATION OF ABSTRACT. This block must be initial, and additional qualifiers separated by commas, completed to assign a distribution limitation to the e.g. Smith, Richard, J, Jr.abstract. Enter UU (Unclassified Unlimited) or SAR (Same as Report). An entry in this block is necessary if 7. PERFORMING ORGANIZATION NAME(S) AND teasrc st elmtd the abstract is to be limited. Abstract A total-field scattered-field (TFSF) boundary can be used to introduce incident plane waves into fi...

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A perfect wideband plane wave injector for FDTD method

Cited by 35 publications

References 1 publication

Modal-based tomographic imaging from far-zone observations

Modal-based tomographic imaging from far-zone observations

Computation of tightly-focused laser beams in the FDTD method

Time-Domain Simulations of Problems in Ocean Acoustics

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