diff --git a/doc/whats-new.rst b/doc/whats-new.rst
index 73d83d5260e..8fef67fbb29 100644
--- a/doc/whats-new.rst
+++ b/doc/whats-new.rst
@@ -50,8 +50,8 @@ Internal Changes
 
 .. _whats-new.2022.09.0:
 
-v2022.09.0 (September 9, 2022)
-------------------------------
+v2022.09.0 (September 30, 2022)
+-------------------------------
 
 This release brings a large number of bugfixes and documentation improvements, as well as an external interface for
 setting custom indexes!
diff --git a/xarray/core/indexes.py b/xarray/core/indexes.py
index afbae5f3baa..89022ac1fbb 100644
--- a/xarray/core/indexes.py
+++ b/xarray/core/indexes.py
@@ -112,19 +112,20 @@ def rename(
         return self
 
     def __copy__(self) -> Index:
-        return self.copy(deep=False)
+        return self._copy(deep=False)
 
-    def __deepcopy__(self, memo=None) -> Index:
-        # memo does nothing but is required for compatibility with
-        # copy.deepcopy
-        return self.copy(deep=True)
+    def __deepcopy__(self, memo: dict[int, Any] | None = None) -> Index:
+        return self._copy(deep=True, memo=memo)
 
     def copy(self, deep: bool = True) -> Index:
+        return self._copy(deep=deep)
+
+    def _copy(self, deep: bool = True, memo: dict[int, Any] | None = None) -> Index:
         cls = self.__class__
         copied = cls.__new__(cls)
         if deep:
             for k, v in self.__dict__.items():
-                setattr(copied, k, copy.deepcopy(v))
+                setattr(copied, k, copy.deepcopy(v, memo))
         else:
             copied.__dict__.update(self.__dict__)
         return copied