Physical bounds of antennas

Design of small antennas is challenging because fundamental physics limits the antennas performance. Physical bounds provide basic restrictions on the antenna performance solely expressed in the available antenna design space. These bounds offer antenna designers a priori information about the feasibility of antenna designs and a figure of merit for different antenna designs. Here, an overview of physical bounds on antennas and the development from circumscribing spheres to arbitrary shaped regions and embedded antennas are presented. The underlying assumptions for the methods based on circuit models, mode expansions, forward scattering, and current optimization are illustrated and their pros and cons are discussed. The physical bounds are compared with numerical data for several antennas. (Less)

[1]  Oleksiy S. Kim,et al.  Minimum $Q$ Electrically Small Antennas , 2012 .

[2]  Arto Hujanen,et al.  Limitations for the Radiation Q of a Small Antenna Enclosed in a Spheroidal Volume: Axial Polarisation , 2001 .

[3]  J. Lewis,et al.  Conformal Printing of Electrically Small Antennas on Three‐Dimensional Surfaces , 2011, Advanced materials.

[4]  Mats Gustafsson,et al.  Antenna Q and Stored Energy Expressed in the Fields, Currents, and Input Impedance , 2015, IEEE Transactions on Antennas and Propagation.

[5]  M. Gustafsson,et al.  Application of gain-bandwidth bounds on loaded dipoles , 2009 .

[6]  H. Thal New Radiation$Q$Limits for Spherical Wire Antennas , 2006, IEEE Transactions on Antennas and Propagation.

[7]  A. Karlsson,et al.  Physical limitations of antennas in a lossy medium , 2004, IEEE Transactions on Antennas and Propagation.

[8]  D. S. Jones SCATTERING BY INHOMOGENEOUS DIELECTRIC PARTICLES , 1985 .

[9]  E. Purcell On the Absorption and Emission of Light by Interstellar Grains , 1969 .

[10]  R. Collin,et al.  Evaluation of antenna Q , 1964 .

[11]  A.D. Yaghjian,et al.  Impedance, bandwidth, and Q of antennas , 2003, IEEE Transactions on Antennas and Propagation.

[12]  Roger F. Harrington,et al.  Control of radar scattering by reactive loading , 1972 .

[13]  Physical bounds and sum rules in scattering and antenna theory , 2009, 2009 International Conference on Electromagnetics in Advanced Applications.

[14]  W. Geyi Physical limitations of antenna , 2003 .

[15]  Steven R Best,et al.  A Performance Comparison of Fundamental Small-Antenna Designs , 2010, IEEE Antennas and Propagation Magazine.

[16]  J. Mclean,et al.  Limits on the radiation Q of electrically small antennas restricted to oblong bounding regions , 1999, IEEE Antennas and Propagation Society International Symposium. 1999 Digest. Held in conjunction with: USNC/URSI National Radio Science Meeting (Cat. No.99CH37010).

[17]  G. Vandenbosch,et al.  Reactive Energies, Impedance, and ${\rm Q}$ Factor of Radiating Structures , 2010, IEEE Transactions on Antennas and Propagation.

[18]  H.A. Wheeler,et al.  Fundamental Limitations of Small Antennas , 1947, Proceedings of the IRE.

[19]  S. A Re-Examination of the Fundamental Limits on the Radiation Q of Electrically Small Antennas , 2008 .

[20]  Mats Gustafsson,et al.  Stored Energy Based 3D Antenna Analysis and Design , 2014 .

[21]  T. Taylor Design of line-source antennas for narrow beamwidth and low side lobes , 1955 .

[22]  R. Collin,et al.  A New Chu Formula for Q , 2009, IEEE Antennas and Propagation Magazine.

[23]  Mats Gustafsson,et al.  On the spectral efficiency of a sphere , 2004 .

[24]  R. Clark Jones,et al.  A Generalization of the Dielectric Ellipsoid Problem , 1945 .

[25]  O. Breinbjerg,et al.  Superdirective Magnetic Dipole Array as a First-Order Probe for Spherical Near-Field Antenna Measurements , 2012, IEEE Transactions on Antennas and Propagation.

[26]  Effects of intrinsic radiation q on mismatch factor of three types of small antennas: single-resonance, gradual-transition and cascaded-resonance types , 2010 .

[27]  L. J. Chu Physical Limitations of Omni‐Directional Antennas , 1948 .

[28]  John L. Volakis,et al.  Bandwidth Limits for Lossless, Reciprocal PEC-backed Arrays of Arbitrary Polarization , 2014, IEEE Transactions on Antennas and Propagation.

[29]  Wen Geyi Foundations of Applied Electrodynamics , 2010 .

[30]  R. Kaul,et al.  Microwave engineering , 1989, IEEE Potentials.

[31]  A. Bernland Bandwidth Limitations for Scattering of Higher Order Electromagnetic Spherical Waves With Implications for the Antenna Scattering Matrix , 2012, IEEE Transactions on Antennas and Propagation.

[32]  S. Best The radiation properties of electrically small folded spherical helix antennas , 2004, IEEE Transactions on Antennas and Propagation.

[33]  John L. Volakis,et al.  Matching Bandwidth Limits for Arrays Backed by a Conducting Ground Plane , 2013, IEEE Transactions on Antennas and Propagation.

[34]  Richard W. Ziolkowski,et al.  An efficient, broad bandwidth, high directivity, electrically small antenna , 2013 .

[35]  Jonas Friden,et al.  Antenna Current Optimization for Lossy Media With Near-Field Constraints , 2015, IEEE Antennas and Wireless Propagation Letters.

[36]  K. Rozanov Ultimate thickness to bandwidth ratio of radar absorbers , 2000 .

[37]  H. Thal,et al.  Q Bounds for Arbitrary Small Antennas: A Circuit Approach , 2012, IEEE Transactions on Antennas and Propagation.

[38]  B. L. G. Jonsson,et al.  Physical Bounds and Optimal Currents on Antennas , 2012, IEEE Transactions on Antennas and Propagation.

[39]  M. Gustafsson,et al.  Multiband Antenna ${Q}$ Optimization Using Stored Energy Expressions , 2014, IEEE Antennas and Wireless Propagation Letters.

[40]  David M. Pozar,et al.  New results for minimum Q, maximum gain, and polarization properties of electrically small arbitrary antennas , 2009, 2009 3rd European Conference on Antennas and Propagation.

[41]  S. Nordebo,et al.  Optimal Antenna Currents for Q, Superdirectivity, and Radiation Patterns Using Convex Optimization , 2013, IEEE Transactions on Antennas and Propagation.

[42]  Kathrin Abendroth,et al.  Computational Methods For Electromagnetics , 2016 .

[43]  R. Fante Quality factor of general ideal antennas , 1969 .

[44]  A. Yaghjian,et al.  Lower Bounds on the Q of Electrically Small Dipole Antennas , 2010, IEEE Transactions on Antennas and Propagation.

[45]  D. Kajfez,et al.  Invariant Definitions of the Unloaded Q Factor (Short Paper) , 1986 .

[46]  Mats Gustafsson,et al.  Tutorial on antenna current optimization using MATLAB and CVX , 2015 .

[47]  H. Thal,et al.  Gain and Q Bounds for Coupled TM-TE Modes , 2009, IEEE Transactions on Antennas and Propagation.

[48]  Johan Helsing,et al.  On the polarizability and capacitance of the cube , 2012, 1203.5997.

[49]  Roger F. Harrington,et al.  Field computation by moment methods , 1968 .

[50]  S. Nordebo,et al.  On the capacity of the free space antenna channel , 2006, 2006 IEEE Antennas and Propagation Society International Symposium.

[51]  山岸 進,et al.  「レイリー散乱」(Rayleigh Scattering) , 1983 .

[52]  M. Gustafsson,et al.  Illustrations of New Physical Bounds on Linearly Polarized Antennas , 2009, IEEE Transactions on Antennas and Propagation.

[53]  Jianming Jin Theory and Computation of Electromagnetic Fields , 2010 .

[54]  Mats Gustafsson,et al.  Antenna Bandwidth Optimization With Single Frequency Simulation , 2014, IEEE Transactions on Antennas and Propagation.

[55]  P. Hazdra,et al.  Radiation ${Q}$ -Factors of Thin-Wire Dipole Arrangements , 2011, IEEE Antennas and Wireless Propagation Letters.

[56]  Mats Gustafsson,et al.  Absorption efficiency and physical bounds on antennas , 2010 .

[57]  Mats Gustafsson Efficiency and Q for small antennas using Pareto optimality , 2013, 2013 IEEE Antennas and Propagation Society International Symposium (APSURSI).

[58]  D. Cheng Field and wave electromagnetics , 1983 .

[59]  Robert C. Hansen,et al.  Electrically Small, Superdirective, and Superconducting Antennas , 2006 .

[60]  S. Best,et al.  Electrically Small Resonant Planar Antennas: Optimizing the quality factor and bandwidth. , 2015, IEEE Antennas and Propagation Magazine.

[61]  Anja K. Skrivervik,et al.  PCS antenna design: the challenge of miniaturization , 2001 .

[62]  A. Sihvola,et al.  Polarizabilities of platonic solids , 2004, IEEE Transactions on Antennas and Propagation.

[63]  A. Zemanian Distribution Theory and Transform Analysis; An Introduction to Generalized Functions, With Applications , 1965 .

[64]  W. Geyi A method for the evaluation of small antenna Q , 2003 .

[65]  P.-S. Kildal,et al.  Further investigations of fundamental directivity limitations of small antennas with and without ground planes , 2008, 2008 IEEE Antennas and Propagation Society International Symposium.

[66]  Sanghoon Kim,et al.  Experimental Validation of Performance Limits and Design Guidelines for Small Antennas , 2012, IEEE Transactions on Antennas and Propagation.

[67]  R. Harrington Time-Harmonic Electromagnetic Fields , 1961 .

[68]  Mats Gustafsson,et al.  Stored energies in electric and magnetic current densities for small antennas , 2014, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[69]  Y. Rahmat-Samii,et al.  Genetic algorithms and method of moments (GA/MOM) for the design of integrated antennas , 1999 .

[70]  Guy A E Vandenbosch Simple Procedure to Derive Lower Bounds for Radiation $Q$ of Electrically Small Devices of Arbitrary Topology , 2011, IEEE Transactions on Antennas and Propagation.

[71]  Mats Gustafsson,et al.  Minimum Q for Lossy and Lossless Electrically Small Dipole Antennas , 2013 .

[72]  Robert C. Hansen,et al.  Small Antenna Handbook: Hansen/Small Antenna , 2011 .

[73]  W. Stutzman,et al.  Fundamental limits on antenna size: a new limit , 2011 .

[74]  Mats Gustafsson,et al.  Bandwidth, Q factor, and resonance models of antennas , 2005 .

[75]  Mats Gustafsson,et al.  Physical limitations on broadband scattering by heterogeneous obstacles , 2007 .

[76]  Mats Gustafsson,et al.  Stored Electromagnetic Energy and Antenna Q , 2012, 1211.5521.

[77]  Mats Gustafsson Physical bounds on antennas of arbitrary shape , 2011, 2011 Loughborough Antennas & Propagation Conference.

[78]  Maik Moeller,et al.  Introduction to Electrodynamics , 2017 .

[79]  Jr. H. Thal Exact circuit analysis of spherical waves , 1978 .

[80]  A. Molisch,et al.  On the Physical Limitations of the Interaction of a Spherical Aperture and a Random Field , 2011, IEEE Transactions on Antennas and Propagation.

[81]  R. Hansen,et al.  Fundamental limitations in antennas , 1981, Proceedings of the IEEE.

[82]  Do-Hoon Kwon On the radiation Q and the gain of crossed electric and magnetic dipole moments , 2005, IEEE Transactions on Antennas and Propagation.

[83]  Robert C. Hansen,et al.  Small Antenna Handbook , 2011 .

[84]  M. Gustafsson,et al.  Physical limitations on antennas of arbitrary shape , 2007, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[85]  S.R. Best,et al.  Limitations in Relating Quality Factor to Bandwidth in a Double Resonance Small Antenna , 2007, IEEE Antennas and Wireless Propagation Letters.

[86]  M. Gustafsson,et al.  Stored energies for electric and magnetic currents with applications to Q for small antennas , 2013, 2013 International Symposium on Electromagnetic Theory.

[87]  D. Sjöberg Variational principles for the static electric and magnetic polarizabilities of anisotropic media with perfect electric conductor inclusions , 2009 .

[88]  Mats Gustafsson,et al.  Time-domain approach to the forward scattering sum rule , 2010, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[89]  Steven R. Best A comparison of the cylindrical folded helix Q to the Gustafsson limit , 2009, 2009 3rd European Conference on Antennas and Propagation.

[90]  L. J. Chu,et al.  Physical limitations of omnidirectional antennas , 1948 .

[91]  M. Gustafsson,et al.  Sum rules and physical bounds on passive metamaterials , 2010 .

[92]  J. K. ELECTROMAGNETIC ENERGY AND POWER IN TERMS OF CHARGES AND POTENTIALS INSTEAD OF FIELDS , 1989 .

[93]  Jussi Rahola,et al.  Bandwidth potential and electromagnetic isolation: Tools for analysing the impedance behaviour of antenna systems , 2009, 2009 3rd European Conference on Antennas and Propagation.

[94]  Chi-Chih Chen,et al.  Small Antennas:Miniaturization Techniques & Applications , 2009 .

[95]  Mats Gustafsson,et al.  A priori estimates on the partial realized gain of ultra-wideband (UWB) antennas , 2008 .

[96]  R. Harrington Characteristic modes for antennas and scatterers , 1975 .

[97]  R. Fan THEORETICAL LIMITATIONS ON THE BROADBAND MATCHING OF ARBITRARY IMPEDANCES * , 2003 .

[98]  R. Hansen Electrically Small, Superdirective, and Superconducting Antennas: Hansen/Electrically Small, Superdirective, and Superconducting Antennas , 2006 .

[99]  Olav Breinbjerg,et al.  Electrically Small Magnetic Dipole Antennas With Quality Factors Approaching the Chu Lower Bound , 2009, IEEE Transactions on Antennas and Propagation.

[100]  Robert P. Penno,et al.  On the lower bound of the radiation Q for electrically small antennas , 2003 .

[101]  M. Gustafsson,et al.  Sum rules and constraints on passive systems , 2011 .

[102]  Sena Esen Bayer Keskin,et al.  Optical Theorem and Forward Scattering Sum Rule for Periodic Structures , 2012, IEEE Transactions on Antennas and Propagation.

[103]  M. Gustafsson Sum rules for lossless antennas , 2010 .

[104]  Array Antenna Limitations , 2013, IEEE Antennas and Wireless Propagation Letters.

[105]  H. Nussenzveig Causality and dispersion relations , 2012, American Journal of Physics.

[106]  S. Nordebo,et al.  Physical limitations on the scattering of electromagnetic vector spherical waves , 2011 .

[107]  Mats Gustafsson,et al.  Q factors for antennas in dispersive media , 2014, 1408.6834.

[108]  P. Uslenghi “Electromagnetic Fields, Second Edition,”, (Jean Van Bladel, 2007) [Reviews and Abstracts] , 2010, IEEE Antennas and Propagation Magazine.

[109]  Thomas B. A. Senior,et al.  Rayleigh scattering , 1973 .

[110]  D. Thiel,et al.  Polarizablity of 2D and 3D conducting objects using method of moments , 2013, 1402.3681.

[111]  David V. Thiel,et al.  An Investigation Into the Gustafsson Limit for Small Planar Antennas Using Optimization , 2013, IEEE Transactions on Antennas and Propagation.

[112]  T.H. O'Donnell,et al.  An Impedance-Matched 2-Element Superdirective Array , 2008, IEEE Antennas and Wireless Propagation Letters.

[113]  O. S. Kim,et al.  Stored Energy and Quality Factor of Spherical Wave Functions–in Relation to Spherical Antennas With Material Cores , 2012, IEEE Transactions on Antennas and Propagation.

[114]  M. Gustafsson,et al.  A scattering and absorption identity for metamaterials: experimental results and comparison with theory , 2008 .

[115]  Mats Gustafsson,et al.  Physical Bounds and Sum Rules for High-Impedance Surfaces , 2011, IEEE Transactions on Antennas and Propagation.

[116]  Tai Tsun Wu,et al.  Highly directive current distributions: General theory , 1998 .