ABSTRACT
In this chapter we will consider a Green’s function integral equation method for one-dimensional scattering problems with a scattering object placed in a homogeneous medium (dielectric constant ε ref = n ref 2 https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781351260206/4bca3869-f413-46d7-8ef0-9a5b65c1eb68/content/eq459.tif"/> ). The scattering object is illuminated by a given plane wave being incident from the left ( E in https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781351260206/4bca3869-f413-46d7-8ef0-9a5b65c1eb68/content/eq460.tif"/> ), and as a result of scattering there will be a reflected wave ( E r https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781351260206/4bca3869-f413-46d7-8ef0-9a5b65c1eb68/content/eq461.tif"/> ), and a transmitted wave ( E t https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781351260206/4bca3869-f413-46d7-8ef0-9a5b65c1eb68/content/eq462.tif"/> ). The situation is illustrated in Fig. 3.1. Schematic of one-dimensional scattering problem. https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781351260206/4bca3869-f413-46d7-8ef0-9a5b65c1eb68/content/fig3_1.tif"/>
