Ms. Caitie O'Donnell Profile

Caitie O'Donnell

at Clemson Univ

SPIE Involvement:

Author

Publications (1)

This will count as one of your downloads.

You will have access to both the presentation and article (if available).

DOWNLOAD NOW

This content is available for download via your institution's subscription. To access this item, please sign in to your personal account.

Email or Username Forgot your username?

Password Forgot your password?

Show

Keep me signed in

No SPIE account? Create an account

Proceedings Article | 4 August 2021 Presentation + Paper

The azimuthal spectrum of common transmittance functions and random media

Nathaniel Ferlic, Caitie O'Donnell, Miranda van Iersel, Christopher Davis

Proceedings Volume 11834, 118340K (2021) https://doi.org/10.1117/12.2593737

KEYWORDS: Phase shifts, Turbulence, Wavefronts, Fourier transforms, Monochromatic aberrations, Beam shaping, Zernike polynomials, Distortion, Atmospheric propagation

Read Abstract +

Structured laser beam propagation through inhomogeneous media is of interest for remote sensing and spatial division multiplexed free-space optical communications. The structured light of interest contains orbital angular momentum (OAM) that inherently forms an orthogonal basis set. The decomposition of an optical wavefront into OAM modes is analogous to an azimuthal Fourier transform that provides angular information. When a wavefront propagates through an imperfect optical system or an inhomogeneous medium, the inhomogeneities manifest themselves as phase distortions along the optical wavefront. This study aims to understand how phaseonly distortions shape a beam’s OAM spectrum. The azimuthal information of the distortions will be explored using the Fourier duality between the angular position and azimuthal frequency. To present this perspective, the example of an azimuthal aperture will be used to display the angular uncertainty principle. This concept will be further discussed using an example of a phase-only distortion represented by a common lens aberration using Zernike polynomials and then to the more complicated scenario of a random medium. It is found that the Fourier duality can be used to calculate the OAM spectrum of a random phase distortion. For the case of a finite beam incident on the distortion, it is found that the beam size and spatial structure play a role in spreading the beam’s OAM spectrum. It is seen that a beam’s OAM spectrum spread is independent of the mode if the beam size is taken into account.

My Library

You currently do not have any folders to save your paper to! Create a new folder below.

Folder Name

Folder Description

View contact details

UPDATE YOUR PROFILE

Is this your profile? Update it now.

Sign into your SPIE.org account

Don’t have a profile and want one?

Create an account on SPIE.org

Access to the requested content is limited to institutions that have purchased or subscribe to SPIE eBooks. You are receiving this notice because your organization may not have SPIE eBooks access.*

*Shibboleth/Open Athens users─please sign in to access your institution's subscriptions.

To obtain this item, you may purchase the complete book in print or electronic format on SPIE.org.

ORGANIZATIONAL
Sign in with credentials provided by your organization.

Organizational Username

Organizational Password

Show/Hide Password

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available

Members:

Non-members: ADD TO CART

Keywords/Phrases

Search In:

Publication Years