对于二进制 (同otropic-Poisson) 统计混合物中的光子传播的概率密度函数,具有无可匹配的正和负折射率
Tiziano Binzoni1, Alain Mazzolo2
1Department of Radiology and Medical Informatics, <a href="https://ror.org/01m1pv723">University Hospital</a>, Geneva, 1211, Switzerland.
Physical review. E
|December 18, 2024
概括
研究人员在二进制混合物中获得了对光子散射的精确同质化概率密度函数. 这大大减少了光子传播的蒙特卡洛模拟,提供了数学上相当和精确的方法.
科学领域:
- 计算物理 计算物理
- 光子学和光学 在光子学和光学.
- 应用数学 应用数学 应用数学
背景情况:
- 复杂介质中的光子传播通常需要计算密集的蒙特卡洛模拟.
- 对于具有不匹配折射率的二元混合物的现有模型可以简化.
- 同质化技术的目的是将复杂的介质表示为更简单,相当于同质的介质.
研究的目的:
- 在二进制混合物中分析导出光子步骤的精确同质化概率密度函数 (PDF).
- 为了获得精确的,同质化的PDF,用于光子散射角度 (极和极) 和同质化的白度.
- 为了证明光子传播模拟的计算成本的降低.
主要方法:
- 对光子传播的概率密度函数的分析推导.
- 在二进制混合物中开发精确的分散事件和光 albedo 的同质化函数.
- 适用于具有不匹配和负折射率的混合物.
主要成果:
- 精确的同质化概率密度函数用于光子步长的推导.
- 准确的,均的PDF用于散射角度 (极 θ,亚齐穆塔尔 φ) 和光度得到了.
- 这些函数适用于具有不匹配和负折射率的二元混合物.
结论:
- 衍生的分析函数为模拟光子传播提供了数学上相当的和精确的方法.
- 对于复杂的二进制混合物,可以实现蒙特卡洛模拟的显著减少 (从数百到一).
- 这种方法为有效研究各种光介质中的光子传输提供了一个强大的工具.
相关概念视频
Propagation of Waves
2.3K
When a wave propagates from one medium to another, part of it may get reflected in the first medium, and part of it may get transmitted to the second medium. In such a case, the interface of the two mediums can be considered as a boundary that is neither fixed nor free.
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
Consider a scenario where a wave propagates from a string of low linear mass density to a string of high linear mass density. In such a case, the reflected wave is out of phase with respect to the incident wave, however the...
2.3K
Energy Carried By Electromagnetic Waves
2.9K
Anyone who has used a microwave oven knows there is energy in electromagnetic waves. Sometimes, this energy is obvious, such as in the summer sun's warmth. At other times, it is subtle, such as the unfelt energy of gamma rays, which can destroy living cells. Electromagnetic waves bring energy into a system through their electric and magnetic fields. These fields can exert forces and move charges in the system and, thus, do work on them. However, there is energy in an electromagnetic wave,...
2.9K
Poisson Probability Distribution
7.8K
A Poisson probability distribution is a discrete probability distribution. It gives the probability of a number of events occurring in a fixed interval of time or space if these events happen at a known average rate and independently of the time since the last event. For example, a book editor might be interested in the number of words spelled incorrectly in a particular book. It might be that, on average, there are five words spelled incorrectly in 100 pages. The interval is 100 pages.
The...
The...
7.8K
Potential Due to a Polarized Object
365
A neutral atom consists of a positively charged nucleus surrounded by a negatively charged electron cloud. When placed in an external electric field, the external electric force pulls the electrons and nucleus apart, opposite to the intrinsic attraction between the nucleus and the electrons. The opposing forces balance each other with a slight shift between the center of masses of the nucleus and the electron cloud, resulting in a polarized atom. On the other hand, a few molecules, like water,...
365
Probability Distributions
6.8K
The probability of a random variable x is the likelihood of its occurrence. A probability distribution represents the probabilities of a random variable using a formula, graph, or table. There are two types of probability distribution– discrete probability distribution and continuous probability distribution.
A discrete probability distribution is a probability distribution of discrete random variables. It can be categorized into binomial probability distribution and Poisson...
A discrete probability distribution is a probability distribution of discrete random variables. It can be categorized into binomial probability distribution and Poisson...
6.8K
Binomial Probability Distribution
10.2K
A binomial distribution is a probability distribution for a procedure with a fixed number of trials, where each trial can have only two outcomes.
The outcomes of a binomial experiment fit a binomial probability distribution. A statistical experiment can be classified as a binomial experiment if the following conditions are met:
There are a fixed number of trials. Think of trials as repetitions of an experiment. The letter n denotes the number of trials.
There are only two possible outcomes,...
The outcomes of a binomial experiment fit a binomial probability distribution. A statistical experiment can be classified as a binomial experiment if the following conditions are met:
There are a fixed number of trials. Think of trials as repetitions of an experiment. The letter n denotes the number of trials.
There are only two possible outcomes,...
10.2K


