A method of manufacture of a dielectric electrode assembly comprising: providing a dielectric tube (226, 429) having an elliptical cross-section and a relative dielectric constant, ε 2, the dielectric tube (226, 429) filled with a laser Z gas having a relative dielectric constant, ε 1; surrounding the dielectric tube (226, 429) with a structural dielectric (225, 425) having a relative dielectric constant, ε 3; positioning metal electrodes (224, 424) on opposite sides of the structural dielectric (225, 425), the metal electrodes (224, 424) having electrode profiles each with a flat cross-sectional geometry, and the metal electrodes parallel to each other at top and bottom surfaces of the metal electrodes (224,424); and selecting a material for the structural dielectric (225, 425) such that the relative dielectric constants of the structural dielectric (225, 425), the dielectric tube (226, 429), and the gas are interrelated and a uniform electric field is generated within the dielectric tube (226, 429) when power is applied to the metal electrodes (224, 424); wherein: an interior surface of the dielectric tube has semi-major axis dimension, A 1 and semi-minor axis dimension, B 1; an exterior surface of the dielectric tube has semi-major axis dimension, A 2 and semi-minor axis dimension, B 2; the relative dielectric constant of the gas, ε 1, has a value of approximately equal to 1; and selecting comprises selecting respective materials for the structural dielectric and the dielectric tube such that the relative dielectric constants are related by an elliptical tube assembly equation of: ε 3 = ε 2 B 2 A 2 A 2 A 1 2 − A 1 B 1 B 2 + A 1 B 1 B 2 − A 2 B 1 2 ε 2 B 2 A 1 2 − A 1 B 1 A 2 + A 1 B 1 A 2 − B 2 B 1 2 ε 2. providing a dielectric tube (226, 429) having an elliptical cross-section and a relative dielectric constant, ε 2, the dielectric tube (226, 429) filled with a laser Z gas having a relative dielectric constant, ε 1; surrounding the dielectric tube (226, 429) with a structural dielectric (225, 425) having a relative dielectric constant, ε 3; positioning metal electrodes (224, 424) on opposite sides of the structural dielectric (225, 425), the metal electrodes (224, 424) having electrode profiles each with a flat cross-sectional geometry, and the metal electrodes parallel to each other at top and bottom surfaces of the metal electrodes (224,424); and selecting a material for the structural dielectric (225, 425) such that the relative dielectric constants of the structural dielectric (225, 425), the dielectric tube (226, 429), and the gas are interrelated and a uniform electric field is generated within the dielectric tube (226, 429) when power is applied to the metal electrodes (224, 424); wherein: an interior surface of the dielectric tube has semi-major axis dimension, A 1 and semi-minor axis dimension, B 1; an interior surface of the dielectric tube has semi-major axis dimension, A 1 and semi-minor axis dimension, B 1; an exterior surface of the dielectric tube has semi-major axis dimension, A 2 and semi-minor axis dimension, B 2; the relative dielectric constant of the gas, ε 1, has a value of approximately equal to 1; and selecting comprises selecting respective materials for the structural dielectric and the dielectric tube such that the relative dielectric constants are related by an elliptical tube assembly equation of: ε 3 = ε 2 B 2 A 2 A 2 A 1 2 − A 1 B 1 B 2 + A 1 B 1 B 2 − A 2 B 1 2 ε 2 B 2 A 1 2 − A 1 B 1 A 2 + A 1 B 1 A 2 − B 2 B 1 2 ε 2.