Low-Energy Electron Transport by the Method of Discrete Ordinates

Bartine, D.E.; Alsmiller, R.G.; Mynatt, F.R.; Engle, W.W.; Barish, J.

doi:10.13182/nse72-a22468

Cited by 31 publications

(10 citation statements)

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“…The charge profile for this spatial mesh is presented in Figure 8. 10. It is evident from this profile that this spatial mesh is not adequate for the LD SAAF to accurately determine the charge deposition at the material interface.…”

Section: Incident Ona Gold\ Silicon Slabmentioning

confidence: 97%

“…al., obtained from their modified computer code were compared with experimental results showing that they simulated transport in low-Z materials (Al) well but experienced poor agreement with high-Z materials (Au) . 10 These results brought to question whether or not the discrete ordinates method could be successfully used to solve electron transport problems. In 1979, Morel reported that the difficulties Bartine, et.…”

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confidence: 99%

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Finite Element Numerical Solution of a Self-Adjoint Transport Equation for Coupled Electron-Photon Problems

Powell¹

2000

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Section: Incident Ona Gold\ Silicon Slabmentioning

confidence: 97%

mentioning

confidence: 99%

Finite Element Numerical Solution of a Self-Adjoint Transport Equation for Coupled Electron-Photon Problems

Powell¹

2000

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“…Let 9 be the photon direction relative to the plane. Then d/«*-"«"*5^tf (4) Integrate 9 from 0 to ?r/2:…”

Section: First Do Compton the Number Of Events In Zone K And Bin / Ismentioning

confidence: 99%

RYLLA. [X-ray transport code]

Hyde¹

1983

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This paper describes a computer code, RYLLA, which models the depositon of x-rays into thin metal slabs, and transports the resulting photoelectrons, finding the distribution of electrons leaving the slab from both the front and back surfaces. The slab must be homogeneous, but can contain a mixture of up to 5 different elements. Due to the short electron mean free path at low electron energies, RYLLA should be used only for studying thin slabs, roughly < 100 mo/cm 2 for low Z metals, and < 10 mg/cm* for high Z metals. X-ray energies should be in the range of 1 to 150 kev, as they are deposited only via photoionization and Compton scattering processes. Following pbotoionization, a hole exists in the electron cloud of the absorbing atom. This fills either by Auger or fluoresence, resulting in lower energy holes which are also filled. Fluoresence photons are transported and absorbed in the same manner as the primary photons, except that they are isotropically origined. Once all photons have been transported and absorbed, and all holes have been filled, a space-and energy-dependent electron source spectrum has been obtained. This is used in a discrete ordinate expansion solution of the 1-D transport equation, which gives the output electron spectra at the two slab surfaces. This paper discusses both the physics and coding of RYLLA. Examples of user input will be given, as will some comparisons with other codes. DISCLAIMER This report was prepared s> MI account of work sponsored by an agency or the United Statea Government Neither the United Sutca Government nor any agency thereof, nor any of their ' ettpkiyeea, makes any warranty, express or implied, or assumes my le»sl liability or responsi bility tor the accuracy, coropteieoaa, ot usefulness of any information, apparatus, product, or proctaa dacloaed, or rcpreaeata that iU UK would not infringe privately owned rhjhts. Refer ence herein to any specific commeranl product, process, or service by trade same, trademark, manufacturer, or other** dots not neceatariry constitute or imply its endorsement, reeoni-mendMioo, or fewwuuj by the United States Government or any agency thereof. The views and opinio™ of authors eiprcssed herein do not necessarily state or reflect those of the United States Government or any ajency thereof. frSIRIBimiW Of »SS CMMMI | S mma Deposition and Transport of X-Rajrs This section covers the x-ray source specification, and the transport and deposition of these x-rays. X-rays resulting from fluoresence and Compton scattering are also trans ported and deposited. There currently exist 4 different ways to specify an x-ray source spectrum. These all assume a steady state spectrum; due to the short transit time for high energy electrons through the thin slabs of interest, this assumption is valid even for picosecond-scale x-ray flux variations. The incoming x-rays may be inclined to the slab normal; their intensity as given in the x-ray input is always referenced to an area normal to the incoming beam, not necessarily normal to the slab. Option 1 : ...

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“…The discrete ordinates approach to the Boltzmann transport equation has already been performed in the past by Bartine et al (Ba72), adapting the one-dimensional discrete ordinates code ANISN (En67) to simulate the transport of low-energy electrons through matter. The method used by them is based on applying the finite difference approximation (or the diamond or step function difference scheme) to reduce the Boltzmann equation to a finite difference expression, and in addition, incorporates an iterative technique, which would indicate a large amount of required computing time.…”

Section: (4)mentioning

confidence: 99%

Numerical Evaluation of Terrestrial Beta Radiation Field in Natural Environment

Minato¹,

Hayashi²,

Ikebe³

1978

Health Physics

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The propagation of electrons through various media was calculated using the one-dimensional discrete ordinates code NILE. These calculations were performed with the aim of determining the natural terrestrial beta radiation field. To assess the validity of the results provided by the NILE code, the calculated results were compared with numerical calculations and experimental measurements of other investigators. The data presented in this work permit calculation of the energy and angular distribution and absorbed dose rate at distances of between 0 and 2m from a plane, homogeneous ground with known abundances of =?h and QK.

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Low-Energy Electron Transport by the Method of Discrete Ordinates

Cited by 31 publications

References 0 publications

Finite Element Numerical Solution of a Self-Adjoint Transport Equation for Coupled Electron-Photon Problems

Finite Element Numerical Solution of a Self-Adjoint Transport Equation for Coupled Electron-Photon Problems

RYLLA. [X-ray transport code]

Numerical Evaluation of Terrestrial Beta Radiation Field in Natural Environment

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