References

[1]	American Radio Relay League. The ARRL Antenna Book: The Ultimate Reference for Amateur Radio Antennas, Transmission Lines And Propagation 21. Ed. Amer Radio Relay League, may 2007. ISBN 0872599876.

[2]	Specification for wrought nickel-iron soft magnetic alloys (UNS k94490, k94840, n14076, n14080). URL: https://doi.org/10.1520/a0753-08r13, doi:10.1520/a0753-08r13.

[3]	ASTM Committee A06. Standard terminology of symbols and definitions relating to magnetic testing. ASTM International, 7 2018.

[4]	Ugur Aydin, Paavo Rasilo, Floran Martin, Deepak Singh, Laurent Daniel, Anouar Belahcen, Mahmoud Rekik, Olivier Hubert, Reijo Kouhia, and Antero Arkkio. Magneto-mechanical modeling of electrical steel sheets. Journal of Magnetism and Magnetic Materials, 439:82–90, 2017.

[5]	U Aydin, F Martin, P Rasilo, A Belahcen, A Haavisto, D Singh, L Daniel, and A Arkkio. Rotational single sheet tester for multiaxial magneto-mechanical effects in steel sheets. IEEE Transactions on Magnetics, 55(3):1–10, 2019.

[6]	WS Bachman. Loop-antenna coupling-transformer design. Proceedings of the IRE, 33(12):865–867, 1945.

[7]	Shuzhong Bai and Yuhua Bai. High precision algorithm of metal detector based on balance coil. In 2018 21st International Conference on Electrical Machines and Systems (ICEMS), 684–687. IEEE, 2018.

[8]	Constantine A. Balanis. Antenna Theory: Analysis and Design. Wiley-Interscience, New York, NY, USA, 2005. ISBN 0471714623.

[9]	Gary Breed. Basic principles of electrically small antennas. High Frequency Electronics, 6(2):50–53, 2007.

[10]	Harold B Buie. An optimized ultra low frequency shielded-loop antenna. Technical Report, Radiation Branch, Electromagnetics Laboratory, Directorate of Research and Development, U.S. Army Missile Command, Redstone Arsenal, Alabama, 1963.

[11]	RE Burgess. Iron cored loop receiving aerial. Wireless Engineer, 23:172–178, 1946.

[12]	Charles Capps. Near field or far field. EDN Magazine, pages 95–102, August 2001.

[13]	Andrew J Compston, James D Fluhler, and Hans G Schantz. A fundamental limit on antenna gain for electrically small antennas. In 2008 IEEE Sarnoff Symposium, 1–5. IEEE, 2008.

[14]	Yuhua Cheng, Gaofeng Wang, and Maysam Ghovanloo. Analytical modeling and optimization of small solenoid coils for millimeter-sized biomedical implants. IEEE Transactions on Microwave Theory and Techniques, 65(3):1024–1035, 3 2017.

[15]	Yuhua Cheng, Guoxiong Chen, Dongdong Xuan, Gaorong Qian, Maysam Ghovanloo, and Gaofeng Wang. Analytical modeling of small, solenoidal, and implantable coils with ferrite tube core. IEEE Microwave and Wireless Components Letters, 2019.

[16]	R DeVore and P Bohley. The electrically small magnetically loaded multiturn loop antenna. IEEE Transactions on Antennas and Propagation, 25(4):496–505, 1977.

[17]	Editorial. Positive and negative mutual inductance. Experimental Wireless & The Wireless Engineer, 6(68):233–234, 5 1929.

[18]	Evren Ekmekci. Vlf antennas. University Lecture, 2004.

[19]	E Fraga, C Prados, and D-X Chen. Practical model and calculation of ac resistance of long solenoids. IEEE Transactions on Magnetics, 34(1):205–212, 1998.

[20]	SV Fratianni. Theory and design of resonant transformer-coupled loop-antenna input systems for vlf reception. Technical Report, NAVAL RESEARCH LAB WASHINGTON DC, 1948.

[21]	SV Fratianni. Vlf signal reception capability of three experimental crossed-loop antennas. Technical Report, NAVAL RESEARCH LAB WASHINGTON DC, 1955.

[22]	S. Fujita and H. Igarashi. Finite-element analysis of magnetically shielded wire coils using homogenization method. IEEE Transactions on Magnetics, 54(3):1–4, March 2018. doi:10.1109/TMAG.2017.2758445.

[23]	David Gibson. Channel characterisation and system design for sub-surface communications. Lulu.com, 2010.

[24]	Kiran Gupta, KK Raina, and SK Sinha. Effect of annealing temperature on the magnetic behaviour of ni-rich permalloy magnetic materials. Indian Journal of Engineering & Materials Sciences, 12:577–585, 2005.

[25]	Pekka Heinonen, Markku Tuomola, Jukka Lekkala, and Jaakko Malmivuo. Properties of a thick-walled conducting enclosure in low-frequency magnetic shielding. Journal of Physics E: Scientific Instruments, 13(5):569, 1980.

[26]	AA Hemphill. A magnetic radio compass antenna having zero drag. IRE Transactions on Aeronautical and Navigational Electronics, pages 17–22, 1955.

[27]	Lorimer K Hill, Jr Francis X Bostick, and others. Micropulsation sensors with laminated mumetal cores. Technical Report, TEXAS UNIV AT AUSTIN ELECTRICAL ENGINEERING RESEARCH LAB, 1962.

[28]	Hojo, Hirofumi, Tomotsuna KAMIJO, Yuji TANIGUCHI, Nobuaki AKAGI, and Hiroyuki MITANI. Dust core with low core-loss for high-frequency applications. Kobelco Technology Review, pages 23–27, 2017.

[29]	IEEE Standards Board. Ieee standard definitions of terms for antennas. IEEE Std 145-1993, pages 1–32, 1993. doi:10.1109/IEEESTD.1993.119664.

[30]	FC Isely. Test of underwater reception of low frequency radio signals. Technical Report, NAVAL RESEARCH LAB WASHINGTON DC, 1941.

[31]	M. Islam. A theoretical treatment of low-frequency loop antennas with permeable cores. IEEE Transactions on Antennas and Propagation, 11(2):162–169, March 1963. doi:10.1109/TAP.1963.1138007.

[32]	Mohammed Azizul Islam. Mathematical analysis on the effect of a prolate spheroidal core in a magnetic dipole field. Journal of Mathematical Physics, 4(9):1206–1212, 1963.

[33]	Alhussain Jabbar S. Hussein Ahmed A. Aouda. Transmitting loop antenna for efficiency enhancement. Journal of Babylon University Engineering Sciences, 21(3):987–994, 2013.

[34]	BZ Kaplan and R Rabinovici. Eddy-current sensor for dc and low-frequency magnetic fields. Proceedings of the IEEE, 73(6):1147–1148, 1985.

[35]	Jinwook Kim and Young-Jin Park. Approximate closed-form formula for calculating ohmic resistance in coils of parallel round wires with unequal pitches. IEEE transactions on Industrial Electronics, 62(6):3482–3489, 2014.

[36]	David Knight. Low-frequency effective radius of a single-layer solenoid. Personal web page, 2000.

[37]	J.D. Kraus. ANTENNAS, 2D ED. Electrical Engineering Series. McGraw-Hill, 1988. ISBN 9780070354227. URL: https://archive.org/details/Antennas2ndbyjohnD.Kraus1988.

[38]	Majid Manteghi and Ali Ahmed Younis Ibraheem. On the study of the near-fields of electric and magnetic small antennas in lossy media. IEEE Transactions on antennas and propagation, 62(12):6491–6495, 2014.

[39]	Richard Q. Marris. Ultima loopstick vlf antenna. Elector Electronics, pages 108–111, 1998.

[40]	M. Mirzaei and P. Ripka. Analytical functions of magnetization curves for high magnetic permeability materials. IEEE Transactions on Magnetics, 54(11):1–5, Nov 2018. doi:10.1109/TMAG.2018.2827932.

[41]	T. Mizuno, S. Enoki, T. Asahina, T. Suzuki, M. Noda, and H. Shinagawa. Reduction of proximity effect in coil using magnetoplated wire. IEEE Transactions on Magnetics, 43(6):2654–2656, June 2007. doi:10.1109/TMAG.2007.893716.

[42]	Ruediger Dr Karmann. Magnetometer. Patent no: DE2625964A1, 12 1977.

[43]	Alan Payne. Self resonance in single layer coils. Personal web page, 2014.

[44]	R Pettengill, H Garland, and J Meindl. Receiving antenna design for miniature receivers. IEEE Transactions on Antennas and Propagation, 25(4):528–530, 1977.

[45]	R Rabinovici and BZ Kaplan. New multifield eddy-current effects. Proceedings of the IEEE, 71(5):682–683, 1983.

[46]	Paavo Rasilo, Ugur Aydin, Floran Martin, Anouar Belahcen, Reijo Kouhia, and Laurent Daniel. Equivalent strain and stress models for the effect of mechanical loading on the permeability of ferromagnetic materials. IEEE Transactions on Magnetics, 55(6):1–4, 2019.

[47]	Alberto Reatti and Marian K Kazimierczuk. Comparison of various methods for calculating the ac resistance of inductors. IEEE Transactions on Magnetics, 38(3):1512–1518, 2002.

[48]	Eric A Richards, Hans G Schantz, John A Unden, Kurt A von Laven, Drew Compston, and Christian Weil. Electrically small antenna design for low frequency systems. NOTICE AND SIGNATURE PAGE, pages 315, 2010.

[49]	Christof Rohner. Antenna basics. Rohde & Schwarz White Paper, pages 24–25, 2006.

[50]	V Rumsey and W Weeks. Electrically small, ferrite-loaded loop antennas. In 1958 IRE International Convention Record, volume 4, 165–170. IEEE, 1966.

[51]	Hans Schantz. Near field channel model, ieee p802.15-04/0417r2. IEEE P802, 15(04):1–8, 2004.

[52]	Hans Gregory Schantz. Near field phase behavior. In 2005 IEEE antennas and propagation society international symposium, volume 3, 134–137. IEEE, 2005.

[53]	Hans Gregory Schantz. Near field propagation law & a novel fundamental limit to antenna gain versus size. In 2005 IEEE Antennas and Propagation Society International Symposium, volume 3, 237–240. IEEE, 2005.

[54]	Hans G Schantz. A real-time location system using near-field electromagnetic ranging. In 2007 IEEE Antennas and Propagation Society International Symposium, 3792–3795. IEEE, 2007.

[55]	Eric Charles Snelling and others. Soft ferrites: properties and applications. Iliffe Books London, 1969.

[56]	William D Stanley and Richard D Tinkler. A practical, low-noise coil system for magnetotellurics. Technical Report, US Geological Survey, 1983.

[57]	J Stewart. On ferrite loop antenna measurements. In 1958 IRE International Convention Record, volume 5, 42–48. IEEE, 1966.

[58]	Tee G Tang, Quang M Tieng, and Moms W Gunn. Equivalent circuit of a dipole antenna using frequency-independent lumped elements. IEEE Transactions on Antennas and Propagation, 41(1):100–103, 1993.

[59]	Emerick Toth and SV Fratianni. Underwater loop reception phenomena and techniques-and appendix. Technical Report, NAVAL RESEARCH LAB WASHINGTON DC, 1950.

[60]	Pavel Turalchuk, Irina Munina, Michail Derkach, Orest Vendik, and Irina Vendik. Electrically small loop antennas for rfid applications. IEEE antennas and wireless propagation letters, 14:1786–1789, 2015.

[61]	Yousufzai M.A.K. Waheed-uz-Zaman, M. Design and construction of very low frequency antenna. Journal of Basic & Applied Sciences, 2011.

[62]	JR Wait and KP Spies. Low-frequency impedance of a circular loop over a conducting ground. Electronics Letters, 9(15):346–348, 1973.

[63]	Wikipedia contributors. Antenna gain — Wikipedia, the free encyclopedia. 2019. [Online; accessed 7-March-2019]. URL: https://en.wikipedia.org/w/index.php?title=Antenna_gain&oldid=876776674.

[64]	Wikipedia contributors. Electromagnetic spectrum — Wikipedia, the free encyclopedia. 2019. [Online; accessed 14-February-2019]. URL: https://en.wikipedia.org/w/index.php?title=Electromagnetic_spectrum&oldid=882410353.

[65]	Wikipedia contributors. Magnetic core — Wikipedia, the free encyclopedia. 2018. [Online; accessed 3-January-2019]. URL: https://en.wikipedia.org/w/index.php?title=Magnetic_core&oldid=872148801.

[66]	Wikipedia contributors. Magnetometer — Wikipedia, the free encyclopedia. 2019. [Online; accessed 18-April-2019]. URL: https://en.wikipedia.org/w/index.php?title=Magnetometer&oldid=891846955.

[67]	Wikipedia contributors. Radio direction finder — Wikipedia, the free encyclopedia. 2019. [Online; accessed 24-May-2019]. URL: https://en.wikipedia.org/w/index.php?title=Radio_direction_finder&oldid=897173877.

[68]	Wikipedia contributors. Radio spectrum — Wikipedia, the free encyclopedia. 2019. [Online; accessed 28-February-2019]. URL: https://en.wikipedia.org/w/index.php?title=Radio_spectrum&oldid=884481320.

[69]	Wikipedia contributors. Real-time locating system — Wikipedia, the free encyclopedia. 2019. [Online; accessed 28-February-2019]. URL: https://en.wikipedia.org/w/index.php?title=Real-time_locating_system&oldid=878335872.

[70]	Z. Zhang, B. Zhang, and J. Wang. Optimal design of quadrature-shaped pickup for omnidirectional wireless power transfer. IEEE Transactions on Magnetics, 54(11):1–5, Nov 2018.

[71]	Z. Zhang, H. Pang, A. Georgiadis, and C. Cecati. Wireless power transfer—an overview. IEEE Transactions on Industrial Electronics, 66(2):1044–1058, Feb 2019. doi:10.1109/TIE.2018.2835378.