various embodiments and aspects of the invention will be described with reference to details discussed below , and the accompanying drawings will illustrate the various embodiments . the following description and drawings are illustrative of the invention and are not to be construed as limiting the invention . numerous specific details such as dimensions and frequencies are described to provide a thorough understanding of various embodiments of the present invention . however , in certain instances , well - known or conventional details are not described in order to not unnecessarily obscure the embodiments of the present invention . at least certain embodiments of the present invention include a portable device having an antenna structure therein , the antenna structure including a generally u - shaped loop element coupled with a support element having a substantially planar portion , wherein the substantially planar portion has an electrical length along a first dimension proximate to one wavelength of a frequency of interest , and an electrical length along a second dimension proximate to one - half wavelength of the frequency of interest , where the support element is located within an induction field of the loop element . at least certain embodiments of the antenna system described herein may be part of a digital media player , such as a portable music and / or video media player , which includes a media processing system to present the media , a storage device to store the media and a radio frequency ( rf ) transceiver coupled with the antenna system and the media processing system . in certain embodiments , media stored on a remote storage device may be transmitted to the media player . the media player may receive the transmitted media via the antenna system and rf transceiver , and may store and / or stream the media . in other embodiments , the media player may transmit the media to a remote storage device and / or another media player . the media may be , for example , one or more of music or other audio , still pictures , or motion pictures . the portable media player may include a media selection device , such as a click wheel device on an ipod ® or ipod nano ® media player from apple computer , inc . of cupertino , calif ., a touch screen device , pushbutton device , movable pointing device or other selection device . the media selection device may be used to select the media stored on the storage device and / or the remote storage device . the portable media player may , in at least certain embodiments , include a display device which is coupled to the media processing system to display titles or other indicators of media being selected through the input device and being presented , either through a speaker or earphone ( s ), or on the display device , or on both the display device and a speaker or earphone ( s ). in certain embodiments , the display device may also be the media selection device ( e . g ., a touch screen display device ). examples of a portable media player are described in published u . s . patent applications 2003 / 0095096 and 2004 / 0224638 , both of which are incorporated herein by reference . fig1 a illustrates an antenna system 100 according to one embodiment of the invention . in fig1 a , a generally u - shaped dielectrically - loaded loop element 104 includes a loop element 101 loaded with a dielectric material 103 . dielectrically - loaded loop element 104 is located in proximity to an element with a substantially planar portion 102 ( referred to as “ planar element ” hereinafter for convenience ), having a substantially rectangular footprint . as illustrated in fig1 b , the loop element 101 has terminals 101 a and 101 b ( driven end of the loop ), an aperture 101 c , a major axis 101 d and a minor axis 101 e . loop element 101 may be , for example , a metallic ribbon or tape , as illustrated in fig1 a . alternatively , loop element 101 may be a wire element , a printed circuit element or any combination thereof . dielectric material 103 may be any low loss dielectric material such as epoxy - fiberglass printed - circuit board material , poly - tetraflouroethylene ( ptfe ) fiberglass or the like . dielectrically - loaded loop element 104 may have a total electrical length between approximately one - half wavelength and one wavelength at a center frequency of the antenna system . planar element 102 may have a width w and a length l . as illustrated in fig1 c and 1d , the “ planar element ” 102 may have a shape more complex than a simple plane . for example , planar element 102 may have a flanged edge or a curved portion and / or section in addition to a planar portion , and may still be considered substantially planar . for example , planar element 102 may be part of a case assembly ( e . g ., a backplate ) of a wireless communications device ( e . g ., a cellular phone , smart phone , pda and the like ) or a media player . planar element 102 may be , for example , a metal - plated insulator or dielectric material such as molded plastic or the like . alternatively , planar element 102 may be a fabricated , cast or formed piece of metal . in one embodiment , as illustrated in fig1 a , a face 102 b of planar element 102 may be disposed substantially parallel to the major axis 101 d of the aperture 101 c , and substantially perpendicular the minor axis 101 e of loop element 101 . in one embodiment , the major axis 101 d of loop element 101 may be disposed substantially parallel to an edge 102 a of the planar element 102 . in other embodiments , the dielectrically - loaded loop element 104 may be located at any location and at any orientation with respect to the planar element 102 , provided that minor axis 101 e is substantially perpendicular to planar element 102 and major axis 101 d is substantially parallel to planar element 102 . the distance between dielectrically - loaded loop element 104 and planar element 102 may be adjusted to tune the input impedance of dielectrically - loaded loop element 104 . in one embodiment , dielectrically - loaded loop element 104 may be separated from planar element 102 by less than or equal to one - fortieth of a free - space wavelength at an operating frequency of the antenna system 100 . fig2 illustrates a plane view of antenna system 100 in one embodiment . in fig2 , dielectrically - loaded loop element 104 is formed by wrapping loop element 101 around the dielectric material 103 such that the terminals 101 a and 101 b of loop element 101 are co - planar on one surface of dielectric material 103 . the terminals 101 a and 101 b may be driven by an rf ( radio frequency ) voltage source , illustrated schematically as rf voltage source 105 . in one embodiment illustrated , dielectric material 103 may be a printed circuit board ( pcb ) assembly and rf voltage source 105 may be a pcb - mounted rf voltage source . in one embodiment , as illustrated in fig3 , a dielectrically - loaded loop element , such as dielectrically - loaded loop element 101 , may be integrated into the assembly of an electronic device such as a communications device or media player , for example , such that planar element 102 serves as a physical support element for dielectrically - loaded loop element 101 . fig3 is an exploded view 300 of an exemplary assembly of a printed circuit board ( pcb ) and an lcd display . in fig3 , a first section of a dielectrically - loaded loop element may be embodied as a printed trace 301 a on a pcb 302 . a second section of a dielectrically - loaded loop element may be embodied as a printed trace on a flexible circuit 301 b . pcb 302 may then be loaded with pcb mounted components such as lcd display 303 , and the second section of the dielectrically - loaded loop element 301 b may be formed around the pcb / lcd assembly and may be soldered or otherwise bonded with section 301 a to form the loop element , wherein the loop element is integrated with the pcb assembly . the trace on the flex circuit may have a gap in an appropriate location ( not shown ) to provide terminal connections for the driven end of the loop as described above . the pcb assembly may then be mounted within the planar element 102 as illustrated in fig5 and described below . fig1 is a flowchart illustrating a method 1500 for manufacturing the antenna system described herein in one embodiment . in operation 1501 , a first portion of a loop element is printed on a printed circuit board ( pcb ). in operation 1502 , a second portion of the loop element is printed as a trace on a flexible circuit . in operation 1503 , the pcb is loaded with pcb components to fabricate a pcb assembly . in operation 1504 , the second portion of the loop element is attached to the first portion of the loop element . in operation 1505 , the second portion of the loop is formed to the pcb assembly , wherein the loop element is formed and integrated with the pcb assembly . in operation 1506 , the pcb assembly is mounted within a support element having a substantially planar portion . fig4 illustrates an alternative embodiment 400 of a dielectrically - loaded loop element . in fig4 , a single long piece of flex circuit 401 may be wrapped around and conformed to pcb 302 and / or lcd 303 , with loop terminals 402 exposed as the driven end of the loop . a dielectrically - loaded loop element may be formed in a variety of different ways including ( but not limited to ) forming a loop by printing traces on both sides of a pcb and connecting the traces with wrap - around connections or plated feedthroughs . fig5 illustrates a cross - sectional view 500 of one exemplary embodiment of an antenna system in a wireless communications device , where the antenna system is configured to transmit and receive rf signals in a bandwidth around 2 . 4 ghz . in fig5 , a dielectrically - loaded loop element 501 is wrapped around a pcb 503 and an lcd display 504 , as described above . backplate 502 functions as a planar element as described above . a plastic cover 505 completes the assembly . for clarity of illustration , other components which may be present in a wireless communications device ( e . g ., a radio frequency transceiver , a digital processing system , a storage device and a battery ) are not shown . fig6 a illustrates another view of device 500 , rotated 90 degrees and with plastic cover 505 removed . in the embodiment illustrated in fig5 and 6 , dielectrically - loaded loop element 501 includes an aperture of approximately 36 millimeters ( mm ) by 3 . 2 mm and backplate 502 has a footprint of approximately 90 mm by 40 mm . pcb 503 has a footprint of approximately 87 mm by 38 mm and a thickness of 0 . 6 mm . pcb 503 may be fabricated from g10 / fr - 4 fiberglass epoxy laminate material conforming to mil - i - 24768 / 2 and / or mil - 24768 / 27 , for example . plastic cover 505 may be any plastic housing material as is normally used in portable electronic devices ( e . g ., abs , polycarbonate , polystyrene or the like ). each of pcb 503 , lcd 504 and plastic cover 505 may be characterized by a dielectric constant that , as is known in the art , reduces the propagation velocity of electromagnetic energy and increases the electrical length ( in contrast to the physical length ) of those materials and surrounding structures which are electromagnetically coupled with the dielectric materials . for the configuration illustrated in fig5 and 6a , it has been determined experimentally that the electrical length of the long dimension of backplate 502 ( i . e ., approximately 90 mm ) is approximately one - wavelength at approximately 2 . 4 ghz and the electrical length of the short dimension of backplate 502 ( i . e ., approximately 40 mm ) is approximately one - half wavelength at approximately 2 . 4 ghz . it will be appreciated that device 500 is an exemplary embodiment , and that the dimensions of device 500 may be scaled to achieve comparable electrical lengths at other frequencies of interest . exemplary embodiment 500 is illustrated in fig6 a with a substantially rectangular footprint . other embodiments of the invention , as illustrated in fig6 b through 6e , for example , may have other footprints , such as a substantially square footprint ( fig6 b ), a substantially circular footprint ( fig6 c ), a substantially elliptical footprint ( fig6 d ), a substantially semi - circular footprint ( fig6 e ) or combinations thereof having principle dimensions ( e . g ., perimeters , diameters , diagonals , etc .) compatible with half - wave and full - wave resonant modes at a frequency of interest . for example , in fig6 b through 6e , principle dimensions d1 , d2 , d3 or d4 may be approximately a half wavelength at a frequency of interest in various alternative embodiments . in yet other embodiments , principle dimensions d1 , d2 , d3 or d4 may be approximately one wavelength at a frequency of interest . fig7 is a plot 1000 of return loss versus frequency at the driven end 507 of dielectrically - loaded loop element 501 in device 500 . as is known in the art , return loss is a direct measure of the impedance match at the input of a circuit , and is an indirect measure of the efficiency of an antenna system . as shown by plot 1000 , the return loss is greater than or equal to approximately 8 decibels ( db ) from 2 . 25 ghz to 2 . 95 ghz , which represents approximately 85 % efficiency ( ignoring resistive losses ) over a 13 . 5 % bandwidth . fig8 a is a horizontally polarized azimuth ( x - y plane ) antenna pattern 800 a of device 500 for the orientation illustrated in fig9 . antenna pattern 800 a includes superimposed patterns at 2 . 400 ghz , 2 . 440 ghz and 2 . 485 ghz , having average gains of − 2 . 5 dbi ( db relative to an isotropic radiator ), − 2 . 6 dbi and − 3 . 0 dbi , respectively . fig8 b is a vertically polarized ( cross - polarized ) azimuth ( x - y plane ) antenna pattern 800 a of device 500 for the orientation illustrated in fig9 . antenna pattern 800 b includes superimposed patterns at 2 . 400 ghz , 2 . 440 ghz and 2 . 485 ghz . fig1 a is a vertically polarized ( co - polarized ) elevation ( x - z plane ) antenna pattern 1000 a of device 500 for the orientation illustrated in fig1 . antenna pattern 1000 a includes superimposed patterns at 2 . 4 ghz , 2 . 44 ghz and 2 . 485 ghz , having peak gains of approximately 0 dbi at zero degrees and 180 degrees and 3 db ( half - power ) beamwidths of approximately 60 degrees . fig1 b is a horizontally polarized elevation ( x - z plane ) antenna pattern 1000 b of device 500 for the orientation illustrated in fig1 . antenna pattern 1000 a includes superimposed patterns at 2 . 4 ghz , 2 . 44 ghz and 2 . 485 ghz . fig1 and 13 illustrate one embodiment of an antenna system in a wireless communication device 1200 . device 1200 may include a dielectrically - loaded loop element 501 , a pcb 503 , a backplate 502 and a plastic cover 505 as previously described . as noted above , the device 1300 may be dimensionally scaled to achieve antenna resonance at other frequencies of interest . fig1 is a block diagram illustrating a wireless device 1400 , as described above , in which embodiments of the antenna system described herein may be implemented . wireless device 1500 may be , for example , a portable media player , a cellular telephone , a smart phone , a personal digital assistant ( pda ) or other portable wireless device . wireless device 1400 may include an antenna system 1401 , which may be antenna system 500 or 1200 , for example . wireless device 1400 may also include a digital radio frequency ( rf ) transceiver 1402 , coupled to the antenna system 1401 , to transmit and / or receive digital voice , data and / or media signals through antenna system 1401 . wireless device 1400 may also include a digital processing system 1403 to control the digital rf transceiver and to manage the digital voice , data and / or media signals . digital processing system 1403 may be a general purpose processing device , such as a microprocessor or controller for example . digital processing system 1403 may also be a special purpose processing device , such as an asic ( application specific integrated circuit ), fpga ( field - programmable gate array ) or dsp ( digital signal processor ). digital processing system 1403 may also include other devices , as are known in the art , to interface with other components of wireless device 1400 . for example , digital processing system 1403 may include analog - to - digital and digital - to - analog converters to interface with other components of wireless device 1400 as described below . digital processing system 1403 may include a media processing system 1409 , which may also include a general purpose or special purpose processing device to manage media . wireless device 1400 may also include a storage device 1404 , coupled to the digital processing system , to store data and / or operating programs for the wireless device 1400 . storage device 1404 may be , for example , any type of solid - state or magnetic memory device . wireless device 1400 may also include one or more input devices 1405 , coupled to the digital processing system 1403 , to accept user inputs ( e . g ., telephone numbers , names , addresses , media selections , etc .) input device 1405 may be , for example , one or more of a keypad , a touchpad , a touch screen , a pointing device in combination with a display device or similar input device . wireless device 1400 may also include a display device 1406 , coupled to the digital processing system 1403 , to display information such as messages , contact information , pictures , movies and / or titles or other indicators of media being selected via the input device 1405 . display device 1406 may be , for example , an lcd display device such as lcd display 504 . in one embodiment , display device 1406 and input device 1405 may be the same device ( e . g ., a touch screen lcd ). wireless device 1400 may also include a battery 1407 to supply operating power to components of the system including digital rf transceiver 1402 , digital processing system 1403 , storage device 1404 , input device 1405 , audio transducer 1408 and display device 1406 . battery 1407 may be , for example , a rechargeable or non - rechargeable lithium or nickel metal hydride battery . wireless device 1400 may also include audio transducers 1408 , which may be one or more speakers and / or microphones for example . in one embodiment , digital rf transceiver 1402 , digital processing system 1403 and / or storage device 1404 may include one or more integrated circuits disposed on a pcb such as pcb 501 described above and included within a volume defined by or adjacent to the substantially planar element 502 . as is known in the art , antenna systems are governed by the laws of reciprocity . therefore , it will be appreciated that any discussion above with respect to transmission properties of embodiments of the described antenna systems applies equally to reception properties . conversely , any discussion above with respect to reception properties of embodiments of the described antenna systems applies equally to transmission properties . in the foregoing specification , the invention has been described with reference to specific exemplary embodiments thereof . it will be evident that various modifications may be made thereto without departing from the broader spirit and scope of the invention as set forth in the following claims . the specification and drawings are , accordingly , to be regarded in an illustrative sense rather than a restrictive sense .