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Shareholders' Equity and Share-Based Payments (Details) | 3 Months Ended | 9 Months Ended |  |
--- | --- | --- | --- | ---
Jun. 30, 2021 USD ($) shares | Jun. 30, 2020 USD ($) | Jun. 30, 2021 USD ($) plan shares | Jun. 30, 2020 USD ($) | Sep. 30, 2020 shares | Aug. 27, 2020 shares
Share-Based compensation |  |  |  |  |  |
Common stock, shares authorized | shares | 75,000,000 |  | 75,000,000 |  | 75,000,000 |
Preferred stock, shares authorized | shares | 10,000,000 |  | 10,000,000 |  | 10,000,000 |
Share-based compensation expense | $ 45,084 | $ 0 | $ 295,249 | $ 159,992 |  |
Number of share-based compensation plans maintained by the company | plan |  |  | 2 |  |  |
2009 Plan |  |  |  |  |  |
Share-Based compensation |  |  |  |  |  |
Share-based compensation expense | $ 0 | 0 | $ 0 | 0 |  |
Number of shares of common stock reserved for awards | shares | 1,200,000 |  | 1,200,000 |  |  |
Unrecognized compensation cost, related to non-vested stock options | $ 0 |  | $ 0 |  |  |
2009 Plan | Employee |  |  |  |  |  |
Share-Based compensation |  |  |  |  |  |
Share-based compensation expense | 0 | 0 | 0 | 0 |  |
2009 Plan | Non-employee director |  |  |  |  |  |
Share-Based compensation |  |  |  |  |  |
Share-based compensation expense | $ 0 | 0 | $ 0 | 0 |  |
2009 Plan | Performance-based Award | Employee |  |  |  |  |  |
Share-Based compensation |  |  |  |  |  |
Number of shares of common stock reserved for awards | shares | 300,000 |  | 300,000 |  |  |
2019 Plan |  |  |  |  |  |
Share-Based compensation |  |  |  |  |  |
Common stock, shares authorized | shares | 139,691 |  | 139,691 |  |  |
Share-based compensation expense | $ 45,084 | 0 | $ 295,249 | 159,992 |  |
Number of share-based compensation plans maintained by the company |  |  | 689,147 |  |  |
Number of shares of common stock reserved for awards | shares | 750,000 |  | 750,000 |  |  |
Unrecognized compensation cost, related to non-vested stock options | $ 210,094 |  | $ 210,094 |  |  |
2019 Plan | Employee |  |  |  |  |  |
Share-Based compensation |  |  |  |  |  |
Share-based compensation expense | $ 45,084 | 0 | $ 135,269 | 0 |  |
Number of shares of common stock reserved for awards | shares | 300,000 |  | 300,000 |  |  |
2019 Plan | Chief Financial Officer |  |  |  |  |  |
Share-Based compensation |  |  |  |  |  |
Number of shares of common stock available for awards under the plan | shares |  |  |  |  |  | 100,000
2019 Plan | Non-employee director |  |  |  |  |  |
Share-Based compensation |  |  |  |  |  |
Share-based compensation expense | $ 0 | $ 0 | $ 159,980 | $ 159,992 |  |

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