نقترح تقنية اكسترابوليشن تسمح بتحسين دقة الحسابات التقريب الثنائي المقطع. تم دراسة أداء هذه التقنية على أساس تجارب كبيرة لخمسة حالات اختبار باستخدام العديد من التقطيعات المختلفة. كانت جودة الاكسترابوليشن يتحسن مع التقطيع المحسن بشكل كبير خاصة للجسيمات المشكلة بشكل كوبي. تم إثبات تخفيض فائدة مرتفعة من الخطأ. كما نقترح تقديرات لخطأ الاكسترابوليشن الذي تم إثباته أنه موثوق به. وأخيرا نقترح طريقة بسيطة لفصل خطأ الشكل والتقطيع وذلك باستخدام حالة اختبار واحدة.
We propose an extrapolation technique that allows accuracy improvement of the discrete dipole approximation computations. The performance of this technique was studied empirically based on extensive simulations for 5 test cases using many different discretizations. The quality of the extrapolation improves with refining discretization reaching extraordinary performance especially for cubically shaped particles. A two order of magnitude decrease of error was demonstrated. We also propose estimates of the extrapolation error, which were proven to be reliable. Finally we propose a simple method to directly separate shape and discretization errors and illustrated this for one test case.
We performed a rigorous theoretical convergence analysis of the discrete dipole approximation (DDA). We prove that errors in any measured quantity are bounded by a sum of a linear and quadratic term in the size of a dipole d, when the latter is in th
We present a review of the discrete dipole approximation (DDA), which is a general method to simulate light scattering by arbitrarily shaped particles. We put the method in historical context and discuss recent developments, taking the viewpoint of a
In this manuscript we investigate the capabilities of the Discrete Dipole Approximation (DDA) to simulate scattering from particles that are much larger than the wavelength of the incident light, and describe an optimized publicly available DDA compu
We present a method of incorporating the discrete dipole approximation (DDA) method with the point matching method to formulate the T-matrix for modeling arbitrarily shaped micro-sized objects. The emph{T}-matrix elements are calculated using point m
The accuracy of calculation of spectral line shapes in one-dimensional approximation is studied analytically in several limiting cases for arbitrary collision kernel and numerically in the rigid spheres model. It is shown that the deviation of the li