A method of manufacture of a dielectric electrode assembly comprising: providing a dielectric tube having an elliptical cross-section and a relative dielectric constant, ε 2 , the dielectric tube filled with a laser Z gas having a relative dielectric constant, ε 1 ; surrounding the dielectric tube with a structural dielectric having a relative dielectric constant, ε 3 ; positioning metal electrodes on opposite sides of the structural dielectric , the metal electrodes 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 ; and selecting a material for the structural dielectric such that the relative dielectric constants of the structural dielectric , the dielectric tube , and the gas are interrelated and a uniform electric field is generated within the dielectric tube when power is applied to the metal electrodes ; 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 having an elliptical cross-section and a relative dielectric constant, ε 2 , the dielectric tube filled with a laser Z gas having a relative dielectric constant, ε 1 ; surrounding the dielectric tube with a structural dielectric having a relative dielectric constant, ε 3 ; positioning metal electrodes on opposite sides of the structural dielectric , the metal electrodes 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 ; and selecting a material for the structural dielectric such that the relative dielectric constants of the structural dielectric , the dielectric tube , and the gas are interrelated and a uniform electric field is generated within the dielectric tube when power is applied to the metal electrodes ; 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 . <EOS>