Abstract: A heating element includes a flexible substrate, a layer of adhesive disposed on a surface of the substrate, and a continuous strand of electrically conductive wire disposed on the adhesive in a pattern of coil structures. Each coil structure includes a first coiled part and a second coiled part. The wire in the first coiled part forms a counterclockwise pattern from an outermost turn to an innermost turn of the first coiled part, and the second coiled part has an innermost turn beginning at an end of the innermost turn of the first coiled part. The wire in the second coiled part forms a clockwise pattern from the innermost turn of the second coiled part to an outermost turn. A connector segment of wire connects outermost turns of adjacent ones of the coil structures.

Abstract: An elongate endovascular element for crossing through an obstruction in a blood vessel comprises: a proximal section; a distal tip section of smaller diameter than the proximal section; and a distally-tapering intermediate section extending between the proximal and distal tip sections; wherein the tapered intermediate section has a length that is substantially ?/2 or a multiple of ?/2, where ? is a wavelength of a driving frequency that will produce longitudinal resonance in the element.

Abstract: An endovascular apparatus for crossing through an obstruction in a blood vessel comprises: an elongate endovascular element such as a wire; an ultrasonic transducer, mechanically coupled to the endovascular element for ultrasonically exciting a distal tip portion thereof to facilitate the crossing through the obstruction, and one or more damping features, mechanically coupled to the endovascular element to attenuate lateral displacement of the endovascular element at positions away from the distal tip portion.

Abstract: An endovascular apparatus for crossing through an obstruction in a blood vessel comprises an elongate endovascular element such as a wire. The element has a proximal section, a distal tip section of smaller diameter than the proximal section; and a distally-tapering intermediate section extending between the proximal and distal tip sections . The apparatus comprises an ultrasonic transducer, mechanically coupled to the proximal section of the element for ultrasonically activating the element, hence exciting the distal tip section to facilitate crossing through the obstruction. A catheter surrounds the element, leaving at least part of the distal tip section of the element protruding distally beyond a distal end of the catheter.

Abstract: An endovascular apparatus for crossing through an obstruction in a blood vessel comprises an elongate endovascular element such as a wire. The element has a proximal section, a distal tip section of smaller diameter than the proximal section; and a distally-tapering intermediate section extending between the proximal and distal tip sections. The apparatus comprises an ultrasonic transducer, mechanically coupled to the proximal section of the element for ultrasonically activating the element, hence exciting the distal tip section to facilitate crossing through the obstruction. A catheter surrounds the element, leaving at least part of the distal tip section of the element protruding distally beyond a distal end of the catheter.

Abstract: An endovascular apparatus for crossing through an obstruction in a blood vessel comprises: an elongate endovascular element such as a wire; an ultrasonic transducer, mechanically coupled to the endovascular element for ultrasonically exciting a distal tip portion thereof to facilitate the crossing through the obstruction, and one or more damping features, mechanically coupled to the endovascular element to attenuate lateral displacement of the endovascular element at positions away from the distal tip portion.

Abstract: An elongate endovascular element for crossing through an obstruction in a blood vessel comprises: a proximal section; a distal tip section of smaller diameter than the proximal section; and a distally-tapering intermediate section extending between the proximal and distal tip sections; wherein the tapered intermediate section has a length that is substantially ?/2 or a multiple of ?/2 , where ? is a wavelength of a driving frequency that will produce longitudinal resonance in the element.

Abstract: An elongate endovascular element for crossing through an obstruction in a blood vessel comprises: a proximal section; a distal tip section of smaller diameter than the proximal section; and a distally-tapering intermediate section extending between the proximal and distal tip sections; wherein the tapered intermediate section has a length that is substantially ?/2 or a multiple of ?/2, where ? is a wavelength of a driving frequency that will produce longitudinal resonance in the element.

Abstract: A disclosed lighting apparatus includes a first dielectric sheet disposed on the first electrically conductive sheet and a second electrically conductive sheet disposed on the first dielectric sheet. A plurality of solid-state lighting (SSL) elements are electrically coupled to the first electrically conductive sheet and to the second electrically conductive sheet. The first electrically conductive sheet, first dielectric sheet, and second electrically conductive sheet have bends that configure the first electrically conductive sheet, first dielectric sheet, and second electrically conductive sheet in a three-dimensional shape.

Abstract: A method of attaching wire to an exposed surface of an adhesive layer includes guiding wire from a wire source through a payout head and through a foot of a write head. A first portion of the wire extends from the foot toward the adhesive layer. The write head is positioned such that a gap between the foot and the exposed surface of the adhesive layer is greater than a diameter of the wire. The write head is moved in a motion parallel to the adhesive layer, and the first portion of the wire adheres to the adhesive layer. Wire is pulled from the wire source by the payout head as the write head is moving in order to maintain slack in a second portion of the wire between the payout head and the write head as the wire is attached to the exposed surface of the adhesive layer.