Advanced Numerical and Experimental Analysis of Ultra-Miniature Surface Resonators

Authors

  • Yakir Ishay Schulich Faculty of Chemistry Technion - Israel Institute of Technology, Haifa, 3200003, Israel
  • Yaron Artzi Schulich Faculty of Chemistry Technion - Israel Institute of Technology, Haifa, 3200003, Israel
  • Nir Dayan Schulich Faculty of Chemistry Technion - Israel Institute of Technology, Haifa, 3200003, Israel
  • David Cristea Schulich Faculty of Chemistry Technion - Israel Institute of Technology, Haifa, 3200003, Israel
  • Aharon Blank Schulich Faculty of Chemistry Technion - Israel Institute of Technology, Haifa, 3200003, Israel https://orcid.org/0000-0003-4056-8103

DOI:

https://doi.org/10.13052/2022.ACES.J.370604

Keywords:

Electric Field Integral Equation, Electron Spin Resonance, Surface resonators

Abstract

Many scientific and technological applications make use of strong microwave fields. These are often realized in conjunction with microwave resonators that have small geometric features in which such fields are generated. For example, in magnetic resonance, large microwave and RF magnetic fields make it possible to achieve fast control over the measured electron or nuclear spins in the sample and to detect them with high sensitivity. The numerical analysis of resonators with small geometric features can pose a significant challenge. This paper describes a general method of analysis and characterization of surface microresonators in the context of electron spin resonance (ESR) spectroscopy and spin-based quantum technology. Our analysis is based on the Electric Field Integral Equation (EFIE) and the Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) formulation. In particular, we focus on a class of resonator configurations that possesses extremely small subwavelength features, which normally would require an ultra-fine mesh. We present several efficient techniques to numerically model, solve, and analyze these types of configurations for both normal and superconducting structures. The validation of these techniques is established both numerically and experimentally by the S11 parameters as well as the provision of direct mapping of the resonator’s microwave magnetic field component using a unique electron spin resonance micro-imaging method.

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Author Biographies

Yakir Ishay, Schulich Faculty of Chemistry Technion - Israel Institute of Technology, Haifa, 3200003, Israel

Yakir Ishay received BSc, MSc, and Ph.D. degrees in electrical engineering and physical chemistry from the Technion - Israel Institute of Technology in 2011, 2014, and 2020, respectively. He is currently working as an algorithm researcher and developer for Israel’s defense industry. His research interests include numerical methods in electromagnetics, design of microwave resonators for magnetic resonance imaging (MRI), and image processing and machine learning algorithms.

Yaron Artzi, Schulich Faculty of Chemistry Technion - Israel Institute of Technology, Haifa, 3200003, Israel

Yaron Artzi is a Ph.D. student of physical chemistry at the Technion – Israel Institute of Technology’s Department of Chemistry. He obtained his BSc and MSc degrees in physics at that same institution. His research interests include the development of advanced methodologies in the field of electron spin resonance (ESR) for quantum technology applications.

Nir Dayan, Schulich Faculty of Chemistry Technion - Israel Institute of Technology, Haifa, 3200003, Israel

Nir Dayan obtained his BSc in chemistry and biology and his MSc in chemistry from Tel Aviv University. Currently, he is a Ph.D. candidate at the Schulich Faculty of Chemistry at the Technion – Israel Institute of Technology. His projects in the Blank group are focused on the development of advanced techniques in electron spin resonance (ESR) for structural biology.

David Cristea, Schulich Faculty of Chemistry Technion - Israel Institute of Technology, Haifa, 3200003, Israel

David Cristea is a senior researcher at the Schulich Faculty of Chemistry, Technion - Israel Institute of Technology. He holds a BSc in electronics and MSc and Ph.D. degrees in electrical engineering from the Politehnica University of Timisoara, Romania. His research interests include R&D of new resonators in the field of nuclear magnetic resonance (NMR) and electron spin resonance (ESR).

Aharon Blank, Schulich Faculty of Chemistry Technion - Israel Institute of Technology, Haifa, 3200003, Israel

Aharon Blank is a full professor at the Schulich Faculty of Chemistry, Technion - Israel Institute of Technology. He holds BSc degrees in mathematics, physics, and chemistry from the Hebrew University of Jerusalem, an MSc in electrical engineering from Tel Aviv University, and a Ph.D. in physical chemistry from the Hebrew University. His research interests include the development and application of new methodologies in the field of nuclear magnetic resonance (NMR) and electron spin resonance (ESR).

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Published

2022-12-14

How to Cite

[1]
Y. . Ishay, Y. . Artzi, N. . Dayan, D. . Cristea, and A. . Blank, “Advanced Numerical and Experimental Analysis of Ultra-Miniature Surface Resonators”, ACES Journal, vol. 37, no. 06, pp. 679–691, Dec. 2022.