CST – Computer Simulation Technology

Closed-Form Relation between the Scan Angle and Feed Position for Extended Hemispherical Lenses based on Ray-Tracing
Henrik Frid
Vol XX
Extended Hemispherical Lens, Beam Steering, Focal Plane Array (FPA), Ray-Tracing
This letter presents a closed-form relation between the scan angle and feed position for extended hemispherical lenses. This relation is derived using ray-tracing, and it is valid for both large and small scan angles, in excellent agreement with fullwave simulations. It is demonstrated that the relation is linear in the small-angle limit, and the effective focal length determining the scan angle is presented. It is also demonstrated that the scan angle only depends on the geometrical configuration, and that it is independent of the lens material. To demonstrate the applicability of this scan angle relation to the design of focal plane arrays (FPAs), we demonstrate that it can be used to determine the FPA spacing that results in -3 dB overlap between switched beams. A comparison with full-wave simulations of lenses with varying materials and FPA elements demonstrates a root mean square (rms) accuracy of 0.27? for the scan angle estimation, and rms accuracy of 0.26 dB for the -3 dB overlap criterion between the central and adjacent beams. Finally, we present scaling rules which show that the scan resolution is inversely proportional to the lens diameter, whereas the FPA spacing is independent of the total lens size.

Back to References

contact support

Your session has expired. Redirecting you to the login page...

We use cookie to operate this website, improve its usability, personalize your experience, and track visits. By continuing to use this site, you are consenting to use of cookies. You have the possibility to manage the parameters and choose whether to accept certain cookies while on the site. For more information, please read our updated privacy policy

Cookie Management

When you browse our website, cookies are enabled by default and data may be read or stored locally on your device. You can set your preferences below:

Functional cookies

These cookies enable additional functionality like saving preferences, allowing social interactions and analyzing usage for site optimization.

Advertising cookies

These cookies enable us and third parties to serve ads that are relevant to your interests.