Parametrical characterization of the induced electric field in materials

ABSTRACT

In this work, we present a parametrical characterization of the features of the total electric field induced in material in response to an external incident field. We propose global parameters enabling characterization of the volume in which the squared modulus of the induced electric field is mainly concentrated, as well as the predominant state of polarization over the region where the power is significant. In addition, an uncertainty relationship is proven linking the region of concentration of the induced electric field and the region where its maximum rate of change occurs.

KEYWORDS:

• Induced electric field
• parametric characterization
• focality
• uncertainty relationship
• polarization

Acknowledgments

The authors would like to thank Professors Antonio Oliviero and Ignacio Obeso for their recommendations. This work is dedicated to the memory of Professor Pedro M. Mejías.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This research was funded by MINECO (Spain) [grant number FIS2016-75147-C3-1-P].

Notes on contributors

Guillermo Mejías

Guillermo Mejías, is a PhD candidate in Complutense University, Madrid, Spain. He received his Master’s degree in biochemistry from Complutense University and currently works at Hospital Clínico San Carlos, Madrid, Spain.

Jose Sanchez

Jose Sanchez received his Master’s degree in Industrial Engineer from Politecnica University, Madrid, Spain. His research areas of interest include engineering and biotecnology.

Rosario Martínez-Herrero

Rosario Martínez-Herrero, full professor of Optics in Faculty of Physical Science (Complutense University, Madrid, Spain). Her research fields of current interest include coherence, polarization, high focused fields and surface plasmon polariton. He published more than 150 papers in international journals.