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🔥 Content Introduction
In the intersection of nanotechnology and electromagnetics, the distribution characteristics of the electromagnetic field around spherical nanoparticles is one of the research hotspots. Variations in size and material properties can significantly alter the intensity, distribution pattern, and resonance characteristics of the electromagnetic field. This phenomenon has important application value in fields such as biological imaging, photocatalysis, and nano-photonic devices. This article will systematically analyze the electromagnetic field patterns around spherical nanoparticles under different conditions, revealing the regulatory mechanisms of size and material on field distribution.
1. Theoretical Basis of Electromagnetic Field of Spherical Nanoparticles
The interaction between spherical nanoparticles and the electromagnetic field can be quantitatively described based on the Mie Scattering Theory, which is applicable for analyzing the scattering and absorption characteristics of spherical particles of any size under electromagnetic wave illumination. When a plane electromagnetic wave is incident on a spherical nanoparticle, the free electrons or bound charges inside the particle will polarize or oscillate under the influence of the electromagnetic field, thereby exciting a scattering field around the particle, which superimposes with the incident field to form the total electromagnetic field distribution.
⛳️ Results
📣 Sample Code
if numel(phi)==1
[R,theta]=meshgrid(R1,theta1);
end
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
% initial values for sums
Mu= cos(theta);
Ms= sin(theta);
pin=zeros(numel(Mu),N);
taon=zeros(numel(Mu),N);
E0=1;
Elp=0;
Elt=0;
Elr=0;
%first and second terms of recurrence relationship of tao and pi
pin1=0; pin2=1;
taon1=0; taon2=Mu;
pin=1;
taon=Mu;
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
d1=0;
c1=0;
d=zeros(1,N);
c=zeros(1,N);
%notes Y and X
X=R.*sin(theta).*cos(phi);
Y=R.*sin(theta).*sin(phi);
Z=R.*cos(theta);
% % % % % % % % % % % % % % % % % % % % % % % % % % % % % % % %
🔗 References
[1] Liu Hao. Research on Photocatalysis and Intelligent Prediction Technology of Noble Metal Particles Modified on Magnesium Aluminate Surface [D]. Chongqing Three Gorges University, 2023.
🎈 Some theories reference online literature; if there is any infringement, please contact the author for deletion.
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