Article Synopsis
- The study focuses on determining how complex a linear optical component needs to be to perform various functions, using a method that analyzes the number of parameters required in its design.
- This method utilizes singular value decomposition to evaluate any linear device, applicable to different systems in optics and related fields.
- The research discusses limitations of basic optical devices and suggests that advancements in nanophotonics could enable more complex functionalities.
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Article Abstract
We analyze how complicated a linear optical component has to be if it is to perform one of a range of functions. Specifically, we devise an approach to evaluating the number of real parameters that must be specified in the device design or fabrication, based on the singular value decomposition of the linear operator that describes the device. This approach can be used for essentially any linear device, including space-, frequency-, or time-dependent systems, in optics, or in other linear wave problems. We analyze examples including spatial mode converters and various classes of wavelength demultiplexers. We consider limits on the functions that can be performed by simple optical devices, such as thin lenses, mirrors, gratings, modulators, and fixed optical filters, and discuss the potential for greater functionalities using modern nanophotonics.
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| http://dx.doi.org/10.1364/JOSAA.30.000238 | DOI Listing |
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