Complex Poynting Theorem

In a lossless medium, 22A.1 ∇ ¯ × H ¯ ˜ = j ω ε E ¯ ˜ , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315115931/4707fdd3-f34e-4bb8-b9c6-7500461af290/content/eqn22a_1.jpg"/> 22A.2 ∇ ¯ × E ¯ ˜ = − j ω μ H ¯ ˜ , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315115931/4707fdd3-f34e-4bb8-b9c6-7500461af290/content/eqn22a_2.jpg"/> 22A.3 ∇ ¯ × E ¯ ˜ ∗ = j ω μ H ¯ ˜ ∗ , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315115931/4707fdd3-f34e-4bb8-b9c6-7500461af290/content/eqn22a_3.jpg"/> 22A.4 H ¯ ˜ ⋅ ∇ ¯ × E ¯ ˜ ∗ = j ω μ H ¯ ˜ ⋅ H ¯ ˜ ∗ , https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315115931/4707fdd3-f34e-4bb8-b9c6-7500461af290/content/eqn22a_4.jpg"/> 22A.5 E ¯ ˜ ∗ ⋅ ∇ ¯ × H ¯ ˜ = j ω ε E ¯ ˜ ⋅ E ¯ ˜ ∗ . https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781315115931/4707fdd3-f34e-4bb8-b9c6-7500461af290/content/eqn22a_5.jpg"/>