Ray-tracing Calculations Research Articles

A triband swastika shaped patch antenna with reduced mutual coupling for wireless mimo systems

A novel compact Swastika shaped patch antenna is designed in the present work, which can be used for Multiple Input Multiple Output (MIMO) systems. The proposed two element MIMO system resonates at a triband of 3.3 GHz, 5.8 GHz, and 7.1 GHz with an improved impedance bandwidth of 37% and a reduced mutual coupling of −33 dB. These results are better compared to a normal E shaped patch antenna designed with same size and thickness, achieved without using any additional decoupling methods. A 2×2 MIMO system employing the Swastika shaped patch antennas is analyzed using computational electromagnetic ray tracing software for an indoor environment. The results show an improvement in the capacity compared to a 2×2 MIMO system developed with dipole antennas. The proposed antenna is a good choice for MIMO systems operating for several Ultra WideBand (UWB) applications.

Laser multipass system with interior cell configuration

We ask whether it is possible to restore a multipass system alignment after a gas cell is inserted in the central region. Indeed, it is possible, and we report on a remarkably simple rearrangement of a laser multipass system, composed of two spherical mirrors and a gas cell with flat windows in the middle. For example, for a window of thickness d and refractive index of n, adjusting the mirror separation by ≈2d(1-1/n) is sufficient to preserve the laser beam alignment and tracing. This expression is in agreement with ray-tracing computations and our laboratory experiment. Insofar as our solution corrects for spherical aberrations, it may also find applications in microscopy.

Ray-trace Calculation Significantly Overestimates Dose Compared To Monte Carlo Calculation In CyberKnife Stereotactic Ablative Radiotherapy Of Lung Tumors

Ray-trace Calculation Significantly Overestimates Dose Compared To Monte Carlo Calculation In CyberKnife Stereotactic Ablative Radiotherapy Of Lung Tumors

Aberrations of the cathode objective lens up to fifth order

In this paper we discuss a topic that was close to Prof. Gertrude Rempfer s interests for many years. On this occasion of her 100th birthday, we remember and honor Gertrude for her many outstanding contributions, and for the inspiring example that she set. We derive theoretical expressions for the aberration coefficients of the uniform electrostatic field up to 5th order and compare these with raytracing calculations for the cathode lens used in Low Energy Electron Microscopy and Photo Electron Emission Microscopy experiments. These higher order aberration coefficients are of interest for aberration corrected experiments in which chromatic (C(c)) and spherical (C₃) aberrations of the microscope are set to zero. The theoretical predictions are in good agreement with the results of raytracing. Calculations of image resolution using the Contrast Transfer Function method show that sub-nanometer resolution is achievable in an aberration corrected LEEM system.

Design of Novel Beam Demagnifier Based on Total Reflection -Refraction

A novel beam demagnifier(a cone) is presented based on total internal reflection-refraction principle, and the light propagation characteristics inside the cone were studied by using ray-tracing method and computer simulation. This paper presents several proof-theoretic results concerning a cone as a beam demagnifier under certain conditions. When the semiapex angle of the cone is equal to a series of specific values an output beam is parallel to an incident beam, the beam's diameter narrows, and the demagnification ratio of the cone is a function of apex angle and there exists a series of extreme points; the demagnifier can be used in series so as to further narrow or magnify the diameter of incident beam.

Polarization-independent on-axis light coupler for surface plasmon resonance using a concentric chirped grating

A novel on-axis one-element polarization-independent light in- and out-coupling mechanism for surface plasmon resonance (SPR) is proposed. The system utilizes an integrated high-NA concentric chirped grating to both focus the incident light on the metallic film and collimate the reflected beam onto a CCD array to extract the SPR signal. With NA up to 1.47, a broad sensing dynamic range from n=1 to 1.35 can be achieved. An analytical model is implemented to demonstrate the dependency of the radial location of the resonances on the detecting substance and its sensitivity to the change of the refractive index. The model shows a trend similar to rigorous ray-tracing calculations.

Peripheral aberrations in the human eye for different wavelengths: off-axis chromatic aberration

The interest in the eye’s off-axis aberrations has increased strongly. On-axis the conversion of the aberration magnitude between different wavelengths is well known. We verified if this compensation is correct also for off-axis measurements by building a wavelength tunable peripheral Hartmann–Shack sensor and measuring 11 subjects out to ±30° in the horizontal visual field. At the fovea, an average longitudinal chromatic aberration of 1 D between red (671 nm) and blue (473 nm) light was found, and it increased slightly with eccentricity (up to 1.2 D). A similar trend was measured for astigmatism as a function of wavelength (increase ∼0.15 D). Computational ray tracing in model eyes showed that the origin of the small increase of chromatic aberrations with eccentricity is the change of the oblique power of the refractive surfaces in the eye. Factors related to increase of axial length and refractive index of the eye were found to have a very small influence.

Acceptance diagram calculations of the performance of neutron removal mirrors

We have used the method of acceptance diagrams to compute the performance of low energy neutron removal mirrors, or “deflectors”, placed within a parallel neutron guide. Such devices are typically used to remove long wavelength neutrons from cold neutron beams . With appropriate coatings they may also be used as low energy neutron polarizers , ideally transmitting one spin state and reflecting the other spin state out of the beam. Within the small angle approximation, ignoring absorption, and representing reflectivities using unit step functions (either 0% or 100%, depending on the angle of incidence and the critical angle), the transmission probability reduces to a function of 3 ratios among 4 angles: the inclination angle of the deflector and the critical angles (which are proportional to neutron wavelength) of the upstream entrance guide, the deflector, and the guide within which the deflector is placed. The results of the acceptance diagram calculations, and of complementary ray-tracing calculations using realistic reflectivity profiles for the deflector, should benefit scientists and engineers involved in the design of neutron scattering instruments that potentially incorporate neutron deflectors.

Accuracy assessment of GPS/Acoustic positioning using a Seafloor Acoustic Transponder System

The accuracy of GPS/Acoustic positioning is crucial for monitoring seafloor crustal deformation. However, the slant range residual is currently the only indicator used to evaluate the precision of positioning seafloor transponders. This study employs a unique Seafloor Acoustic Transponder System (SATS) to evaluate the accuracy of GPS/Acoustic seafloor positioning. The SATS has three transponders and an attitude sensor in a single unit, which provides true lengths of transponder baselines and true attitude of the SATS to ensure assessment reliability and validity. The proposed approach was tested through a GPS/Acoustic experiment, in which an off-the-shelf acoustic system was used to collect range measurements. Using GPS/Acoustic geodetic observations, the positions of three transponders on the SATS were estimated by an optimization technique combined with ray-tracing calculations. The accuracy of the GPS/Acoustic seafloor positioning is assessed by comparing the true baselines and attitude with the results derived from the position estimates of the three transponders. A sensitivity analysis is conducted to investigate the robustness of the GPS/Acoustic positioning results to changes of sound speed. Experimental results demonstrate that the use of the SATS can help to assess the validity of the GPS and acoustic travel time measurements in the GPS/Acoustic seafloor positioning.

Lunar mare single-scattering, porosity, and surface-roughness properties with SMART-1 AMIE

A novel shadowing and coherent-backscattering model is utilized in the analysis of the single-scattering albedos and phase functions, local surface roughness, and regolith porosity of specific lunar mare regions imaged by the AMIE camera (Advanced Moon micro-Imager Experiment) onboard ESA SMART-1 mission. Shadowing due to the regolith particles is accounted via ray-tracing computations for densely-packed particulate media with a fractional-Brownian-motion interface with free space. The shadowing modeling allows us to derive the scattering phase function for a ∼100-μm volume element of the lunar mare regolith. The volume-element phase function is explained by coherent-backscattering modeling, where the fundamental single scatterers are the wavelength-scale particle inhomogeneities or the smallest fraction of the particles on the lunar surface. The phase function of the fundamental scatterers is expressed as a sum of two Henyey-Greenstein terms, accounting for increased backward scattering as well as increased forward scattering. Based on the modeling of the AMIE lunar photometry, we conclude that most of the lunar mare opposition effect is caused by coherent backscattering within volume elements comparable in size to typical lunar particles, with only a small contribution from shadowing effects.

SU-E-T-892: Calculation Uncertainty in CyberKnife Dosimetric Parameters of Brainstem

Purpose: It is important to understand the effect of dose calculation on the dosimetric parameters of a critical structure, which are often used to evaluate the risk of toxicity. We present the variation of some dosimetric parameters for brainstem as computed by two different dose algorithms. Methods: Both Ray Tracing and Monte Carlodose algorithms are commissioned for the CyberKnife planning system at Cooper. Study was performed for twenty seven intracranial patients treated with CyberKnife. Dose calculation was carried out in Multiplan workstation by Monte Carlo algorithm with heterogeneity corrections as well as Ray Tracing algorithm without heterogeneity corrections. Brainstem was delineated by the attending radiation oncologist during planning process. The same prescription and optimization as the actual treatment were employed in dose calculation for each patient. Results: Principle dosimetric parameters (D50, D10, D1cc, D0.1cc and maximum dose) of brainstem are derived for each patient. The difference in percentage between Ray Tracing and Monte Carlo calculation is plotted. Significant variation has been observed for each dosimetric parameter between two different dose algorithms. Also plotted is the variation of those dosimetric parameters against the volume of brainstem. Conclusions: The value of dosimetric parameters can be considerately different depending on dose algorithm used in calculation. The evaluation of dose tolerance for a critical structure using those dosimetric parameters needs to be cautious about dose computing methods.

Electron Cyclotron Heating and Current Drive Program for KSTAR Based on the 170-GHz Gyrotron

Electron cyclotron heating and current drive (ECH/ECCD) has become an essential tool for fusion plasma research in toroidal devices. In the Korea Superconducting Tokamak Advanced Research (KSTAR) tokamak, development of a high power and multifrequency ECH/ECCD system is in progress. The multiple frequency sources employed in KSTAR (84 GHz and 110 GHz have been used, and 170 GHz and possibly 140 GHz are planned) support the wide range of operating magnetic fields from [approximately]1.5 to 3.5 T. In particular, 170-GHz power, which will be used on ITER, corresponds to the second harmonic of the cyclotron frequency for the KSTAR operating range from 2.5 to 3.5 T. This frequency will be mainly used for control of the local plasma current profile, in order to manipulate the internal magnetohydrodynamic instabilities such as the sawtooth and neoclassical tearing mode, which can be harmful to steady-state high-beta operation. This paper presents the status of the KSTAR ECH/ECCD program and the ray-tracing calculations of the 170-GHz electron cyclotron wave propagation for various plasma conditions in KSTAR. In the ray-tracing simulation, the TORAY-GA ray-tracing code is used to study the dependence of the ECH/ECCD on the plasma profiles as a function of the beam aiming angles.

Electron cyclotron current drive in low collisionality limit: On parallel momentum conservation

A comprehensive treatment of the models used in ray- and beam-tracing codes to calculate the electron cyclotron current drive (ECCD) by means of the adjoint technique, based on the adjoint properties of the collision and Vlasov operators appearing in the drift-kinetic equation, is presented. Particular attention is focused on carefully solving the adjoint drift-kinetic equation (generalized Spitzer problem) with parallel momentum conservation in the like-particle collisions. The formulation of the problem is valid for an arbitrary magnetic configuration. Only the limit of low collisionality is considered here, which is of relevance for high-temperature plasmas. It is shown that the accurate solution of the adjoint drift-kinetic equation with parallel momentum conservation significantly differs (apart from the suprathermal electron portion) from that calculated in the high-speed-limit, which is most commonly used in the literature. For high-temperature plasmas with significant relativistic effects, the accuracy of the resulting numerical models is demonstrated by ray-tracing calculations and benchmark results are presented. It is found that the ECCD efficiency calculated for ITER with parallel momentum conservation significantly exceeds the predictions obtained with the high-speed-limit model.

Design of differential optical absorption spectroscopy long-path telescopes based on fiber optics

We present a new design principle of telescopes for use in the spectral investigation of the atmosphere and the detection of atmospheric trace gases with the long-path differential optical absorption spectroscopy (DOAS) technique. A combination of emitting and receiving fibers in a single bundle replaces the commonly used coaxial-Newton-type combination of receiving and transmitting telescope. This very simplified setup offers a higher light throughput and simpler adjustment and allows smaller instruments, which are easier to handle and more portable. The higher transmittance was verified by ray-tracing calculations, which result in a theoretical factor threefold improvement in signal intensity compared with the old setup. In practice, due to the easier alignment and higher stability, up to factor of 10 higher signal intensities were found. In addition, the use of a fiber optic light source provides a better spectral characterization of the light source, which results in a lower detection limit for trace gases studied with this instrument. This new design will greatly enhance the usability and the range of applications of active DOAS instruments.

Ray tracing and scalar diffraction calculations of wavefronts, caustics and complex amplitudes in optical systems

The procedures for precise calculation of wavefronts, caustics and complex amplitudes in optical systems are developed. Numerical methods are compared with analytical formulae for caustics. The conditions for the validity of the integration on wavefronts for obtaining the complex amplitudes (and hence intensities defining the PSFs) within scalar diffraction theory are discussed in detail. To illustrate the precision of the results obtained with the developed techniques, an experiment showing quite unexpected results is studied and explained in detail.

UNCERTAINTY PROPAGATION AND SENSITIVITY ANALYSIS IN RAY-TRACING SIMULATIONS

Up to now, ray-tracing simulations are commonly used with a deterministic approach. Given the input parameters, the ray-tracing algorithm computes a value for the electric field. In this paper, we present a method that aims at computing the mean and standard deviation of the electric field. More precisely, we aim to obtain the probabilistic content of the electric field value and direction. We assume that this uncertainty results from input random variables which we consider uniformly distributed. Since ray-tracing computations have a high computational cost, we use spectral methods in order to optimize the number of simulations. We consider 2D electromagnetic propagation for the multi-path components, which can interact with the environment through four processes: transmission, single reflection, double reflection and diffraction. These are modelled using adequate coefficients. In order to calculate the polynomial chaos expansion coefficients, we use the projection method and Gauss-Legendre quadratures. These coefficients can then be used to determine the Sobol indices of input parameters. This is done in order to neglect variables in practical computation of the uncertainties.

External cavity design of high-power diode laser for polarized helium-3 neutron spin filters based on spin-exchange optical pumping

Polarized neutron spin filters are being developed based on spin-exchange optical pumping. In the present study a high-power diode laser (85W) was used to excite Rb atoms and the laser linewidth was narrowed using an external cavity. The optics in the external cavity were designed by ray tracing. The ray-trace calculations demonstrated that a doublet lens in front of the laser eliminates aberrations. The maximum spectral peak height in the doublet optics was found to be 25% higher than for a singlet lens.

28 GHz 초전도 ECRIS 플라즈마에서의 마이크로파 전파

한국기초과학지원연구원 부산센터에서 개발 중인 28 GHz ECRIS에 대한 마이크로파 패킷의 전파와 흡수에 대한 분석을 제한된 변수 범위 내에서 실시하였다. 28 GHz 자이로트론에서 발생된 마이크로파는 도파관 시스템을 거쳐 자기장 및 플라즈마 캐비티의 축방향으로 입사된다. 축방향 자기장만을 고려한 분석적 Ray Tracying에 의하면 고자기장 영역에서 준 종파로 입사된 전자기 파동의 패킷은 전자 사이클로트론 공명 영역으로 진행함에 따라 바깥 방향에서 안쪽 방향으로 방향을 바꾼다. 따라서 일정 수준의 전자밀도가 유지되면 입사 초기에 발산하던 파동은 공명에 의하여 플라즈마로 흡수되기 전에 전도체인 플라즈마 캐비티 벽에 충돌할 가능성이 크지 않음을 확인하였다. 또한 플라즈마로의 흡수율이 매우 크므로 인출부 벽에서 반사될 가능성도 크지 않다. Packet propagation and absorption for the 28 GHz superconducting ECRIS under developing by KBSI Pusan center is analyzed with limited parameter range. The microwave power generated by 28 GHz gyrotron is axially injected to the plasma cavity through waveguide system. According to the analytical ray tracing calculation, the wave packet launched quasi-longitudinally at a high magnetic field side changes its direction from outward to inward as it is approaching resonance layer. Therefore, initially diverging wave does not likely hit a conducting surface before absorbing by electron cyclotron resonance. Also, absorption by plasma with moderate electron density is so strong that reflection by an extraction plate may not be expected.

The change of spherical aberration during accommodation and its effect on the accommodation response

Theoretical and ray-tracing calculations on an accommodative eye model based on published anatomical data, together with wave-front experimental results on 15 eyes, are computed to study the change of spherical aberration during accommodation and its influence on the accommodation response. The three methodologies show that primary spherical aberration should decrease during accommodation, while secondary spherical aberration should increase. The hyperbolic shape of the lens' surfaces is the main factor responsible for the change of those aberrations during accommodation. Assuming that the eye accommodated to optimize image quality by minimizing the RMS of the wave front, it is shown that primary spherical aberration decreases the accommodation response, while secondary spherical aberration slightly increases it. The total effect of the spherical aberration is a reduction of around 1/7 D per diopter of stimulus approximation, although that value depends on the pupil size and its reduction during accommodation. The apparent accommodation error (lead and lag), typically present in the accommodation/response curve, could then be explained as a consequence of the strategy used by the visual system, and the apparatus of measurement, to select the best image plane that can be affected by the change of the spherical aberration during accommodation.

Ray tracing on a networked processor array

As computation costs increase to meet design requirements for computation-intensive graphics applications on today's embedded systems, the pressure to develop high-performance parallel processors on a chip will increase. Acceleration of the ray tracing computation has become a major issue as the computer graphics industry demands for rendering realistic images. Network-on-chip (NoC) techniques that interconnect multiple processing elements with routers are the solution for reducing computation time and power consumption by parallel processing on a chip. It is also essential to meet the scalability and complexity challenges for system-on-chip (SoC). In this article, we describe a parallel ray tracing application mapping on a mesh-based multicore NoC architecture. We describe an optimised ray tracing kernel and parallelisation strategies, varying the workload distribution statically and dynamically. In this work, we present results and timing performance of our parallel ray tracing application on a NoC, which are obtained through our cycle accurate multicore NoC simulator. Using a dynamic scheduling load balancing technique, we achieved a maximum speedup multiplier of 35.97 on an 8 × 8 networked processor array using a NoC as the interconnect.