Examples of passive manipulations include reflectionless refraction, perfect anomalous reflection, and arbitrary antenna beam forming.
Chen Michael, Kim Minseok, Wong Alex M.H., Eleftheriades George V. 2018, 'Huygens' metasurfaces from microwaves to optics: a review', Nanophotonicshttp://www.degruyter.com/view/j/nanoph.2018.7.issue-6/nanoph-2017-0117/nanoph-2017-0117.xml?format=INT. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
The passive reflectionless transmission-line model can reproduce physiological cochlear properties.
Takemori Orima, Yoshihiko Horio 2017, 'An Improved Parameter Value Optimization Technique for the Reflectionless Transmission-LineModel of the Cochlea', Journal of Robotics, Networking and Artificial Life (JRNAL)https://www.atlantis-press.com/article/25878342.pdf. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Reflectionless equi-transmitting unitary matrices are studied in connection to matching conditions in quantum graphs.
Pavel Kurasov, Rao Ogik, Amar Rauf 2014, 'On reflectionless equi-transmitting matrices', Opuscula Mathematicahttp://www.opuscula.agh.edu.pl/vol34/3/art/opuscula_math_3430.pdf. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
This structure can guarantee no reflections, making it possible to build reflectionless splitters and squeezers.
Erliang Ding, Yangyang Wang, Xiaozhou Liu, Xiufen Gong 2015, 'Waveguide splitting and squeezing in zero-index metamaterials embedded with defects',AIP Advanceshttp://dx.doi.org/10.1063/1.4934788. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Achieving unidirectional reflectionless light propagation could also be potentially important for developingoptical devices, such as optical network analyzers.
Huang Yin, Shen Yuecheng, Min Changjun, Fan Shanhui, Veronis Georgios 2017, 'Unidirectional reflectionless light propagation at exceptional points', Nanophotonicshttp://www.degruyter.com/view/j/nanoph.2017.6.issue-5/nanoph-2017-0019/nanoph-2017-0019.xml?format=INT. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)
Finally, in the case of reflectionless potentials, the obtained exact solutions are reduced to n-soliton solutions.
Sheng Zhang, Siyu Hong 2017, 'Lax Integrability and Soliton Solutions for a Nonisospectral Integrodifferential System',Complexityhttp://dx.doi.org/10.1155/2017/9457078. Retrieved from DOAJ CC BY 4.0 (https://creativecommons.org/licenses/by-sa/4.0/legalcode)