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The Distribution of Heating Potential Inside Lossy Spheres

Not an original health-effects study

Kritikos JN, Schwan HP · 1975

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In brain-tissue model spheres, heating potential was never uniform, with potential hot spots at 300 to 12,000 MHz for radii between 0.1 and 8 cm.

Plain English Summary

Summary written for general audiences

Researchers studied how radiofrequency energy heats brain tissue by examining spheres with the same electrical properties as brain tissue across frequencies from 10 MHz to 12 GHz. They found that potential hot spots of concentrated heating appear inside the spheres only for radii between 0.1 cm and 8 cm and only in the frequency range of 300 to 12,000 MHz. The heating potential was never uniform, creating localized areas of higher energy absorption.

Why This Matters

This 1975 study examined the distribution of heating potential inside a lossy sphere with the same electrical characteristics as brain tissue, across frequencies from 10 MHz to 12 GHz. The research demonstrates that the heating potential is always non-uniformly distributed, with potential hot spots inside only for spheres with radii between 0.1 cm and 8 cm and only in the frequency range of 300 to 12,000 MHz. Where the heating potential was maximum inside the sphere, it was larger by a factor of approximately ten than the values calculated by the plane slab or the average cross section model. A non-uniform distribution implies the possibility of non-uniform temperature rise or the creation of hot spots.

Figures from the Original Paper

Diagrams extracted from the original research document.

chartPage 4 - Figure 1: The radius vs. frequency diagram.
diagramPage 5 - Fig. 4: Distribution of the normalized absorption differential cross section (N.A.D.C in I/cm) E plane. Frequency = 100 MHz.
diagramPage 6 - AI-described figure: Figures showing distribution of normalized absorption differential cross sections in E and H planes for a sphere at different frequencies.
diagramPage 7 - AI-described figure: Figures showing distribution of normalized absorption differential cross section in E and H planes at a frequency of 500 MHz.
graphPage 8 - AI-described figure: Fig. 10 and Fig. 11 show maximum or normalized absorption differential cross section vs. frequency for spheres of different radii.
Cite This Study
Kritikos JN, Schwan HP (1975). The Distribution of Heating Potential Inside Lossy Spheres.
Show BibTeX
@article{the_distribution_of_heating_potential_inside_lossy_spheres_g6393,
  author = {Kritikos JN and Schwan HP},
  title = {The Distribution of Heating Potential Inside Lossy Spheres},
  year = {1975},
  
  
}
No DOI on file for this study.

Quick Questions About This Study

Hot spots appeared inside the spheres only in the frequency range of 300 to 12,000 MHz, and only for spheres with radii between 0.1 cm and 8 cm. The study covered 10 MHz to 12 GHz.
The study found that the heating potential inside a sphere with the electrical characteristics of brain tissue is always non-uniformly distributed. A non-uniform distribution implies the possibility of non-uniform temperature rise or the creation of hot spots.
Hot spots appeared inside only for spheres with radii between 0.1 cm and 8 cm, and only in the frequency range of 300 to 12,000 MHz.
Yes, in these model spheres. Where the heating potential was maximum inside the sphere, it was larger by a factor of approximately ten than the values calculated by the plane slab or the average cross section model.
The study examined a lossy sphere with the same electrical characteristics as brain tissue across 10 MHz to 12 GHz. It determined the conditions under which a potential hot spot appears inside the sphere and its shape, and displayed them in a radius versus frequency diagram.