Discovering Two Novel Solutions: Circular and Hyperbolic Functions of SU(2) Yang-Mills Gauge Field Equations Using Null-Tetrad Formalism | Chapter 5 | Mathematics and Computer Science: Contemporary Developments Vol. 4

 

Two more new exact closed-form solutions of SU(2) Yang-Mills gauge field equations were found by the Carmeli-Charash-Kaye-Kh. Huleihil null-tetrad formalism. Unlike the reported first solutions with special functions of elliptic integrals, these new solutions are circular and hyperbolic trigonometric functions with two arbitrary integration constants. Electric parts corresponding to the solutions with circular functions cases are found as zero and nonzero magnetic parts so concluded as monopole solutions. In solutions with hyperbolic function cases, both electric and magnetic parts of Yang-Mills fields are zero.  Yang-Mills potentials and fields are also reported for all solutions.

 

Author (s) Details

B.V. Baby
3\88, Jadkal Post, Udupi District, Karnataka State, 576 233, India.

 

Please see the book here:- https://doi.org/10.9734/bpi/mcscd/v4/1847

Performance of Various Microstrip Patch Antenna Structures on a Heterogeneous Substrate Material | Chapter 8 | Research and Developments in Engineering Research Vol. 6

 Today’s ideas infrastructure is mainly supported by Wi-Fi technology. The only way to undertake wireless ideas (WC) is with an wire. An antenna is an intensely important component of a ideas system and has undergone huge improvements, exceptionally in the areas of thickness (miniaturization) and wide frequency range. The key issue with standard antennas is that they only undertake one or two repetitions, limiting the amount of bands that equipment can sustain. Another problem is the receiver’s size. Setting up as well one receiver is difficult on account of the limited space usable on a handset. The use of a assorted substrate is being investigated to try and answer these issues. A heterogeneous substrate multiband microstrip patch wire with miscellaneous shapes fed by a rectangular microstrip feed line is projected in this paper accompanying a total area of  73.3 × 127.85 × 3.2  mm³. The antennas are impressed on a heterogeneous substrate accompanying the combinations of surely available matters like FR4_epoxy, Air and Taconic RF-30 with relative permittivity of 4.4, 1 and 3. The substrate underneath the patch's opening must have the right placements and dimensions in consideration of provide the multiband traits. The various forms of microstrip patch antennas like rectangular, square, circular, oval-shaped and triangular covers L (1-2 GHz), S (2-4 GHz), C (4-8 GHz) and X (8 -12GHz)  bands and used for miscellaneous applications like Low Density Radio Communications Link (LDRCL), Communication satellites, Wireless LAN-802.11b, 802.11g, Bluetooth and WiMAX uses. Ansoft HFSS 13.0 antenna program is used to design and simulate each wire. The prototype of the submitted antennas, which come in a assortment of designs, is constructed, calculated, and produced accompanying good return loss, VSWR, mellow frequency, fallout pattern, and antenna gain.

Author(s) Details:

S. T. Padmavati,
ECE Department, (FET, (Co-Edu)) in Sharnbasva University, Kalaburgi, State Karnataka, India.

Y. S. Lalitha,
ECE Department, D.B I.T, Bangalore, and State Karnataka, India.

Please see the link here: https://stm.bookpi.org/RADER-V6/article/view/11556